test_momentum_newton_krylov.c File Reference

Focused tests for the version-one matrix-free momentum solver. More...

#include "test_support.h"
#include "initialcondition.h"
#include "../../src/momentum_newton_krylov.c"

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Macros
#define	MomentumSolver_NewtonKrylov   MomentumSolver_NewtonKrylov_PrivateCopy

Functions
static PetscErrorCode	AssertNewtonLog (const char *path, PetscInt expected_rows, const char *needle_a, const char *needle_b)
	Checks a structured log's row count and required text after a collective solve.
static PetscErrorCode	BuildNewtonFixture (const char *bcs, SimCtx **simCtx, UserCtx **user, char *tmpdir, size_t tmpdir_len)
	Builds and initializes a small runtime context for Newton tests.
static PetscErrorCode	DestroyNewtonFixture (SimCtx **simCtx, char *tmpdir)
	Destroys a Newton test fixture and its temporary files.
static PetscErrorCode	WriteNewtonPicSlice (const char *path)
	Writes one static 5x5 PICSLICE profile used by the full runtime fixture.
static PetscErrorCode	CheckResidualRepeatabilityForBC (const char *bcs, const char *label)
	Checks callback repeatability, diagnostic-state independence, and X integrity.
static PetscBool	OwnsStoredPoint (UserCtx *user, PetscInt i, PetscInt j, PetscInt k)
	Returns whether this rank owns one global DMDA grid point.
static PetscErrorCode	PerturbStoredValue (UserCtx *user, Vec vec, PetscInt i, PetscInt j, PetscInt k, PetscInt component, PetscScalar delta)
	Adds a scalar perturbation to one stored staggered component.
static PetscErrorCode	GetStoredValue (UserCtx *user, Vec vec, PetscInt i, PetscInt j, PetscInt k, PetscInt component, PetscScalar *value)
	Reads one globally indexed stored component on any MPI decomposition.
static PetscErrorCode	MeasureStoredDerivative (UserCtx *user, Vec x, PetscInt row_i, PetscInt row_j, PetscInt row_k, PetscInt row_component, PetscInt col_i, PetscInt col_j, PetscInt col_k, PetscInt col_component, PetscReal *derivative)
	Finite-differences one callback row with respect to one stored unknown.
static PetscErrorCode	CheckStoredDerivative (UserCtx *user, Vec x, PetscInt row_i, PetscInt row_j, PetscInt row_k, PetscInt row_component, PetscInt col_i, PetscInt col_j, PetscInt col_k, PetscInt col_component, PetscReal expected, PetscReal tolerance, const char *label)
	Asserts one finite-differenced callback row derivative equals an expected value.
static PetscErrorCode	TestResidualRepeatabilityAndInputIntegrity (void)
	Verifies repeatable callback output and read-only trial input.
static PetscErrorCode	TestConstraintRows (void)
	Verifies fixed, periodic-duplicate, and interior residual rows.
static PetscErrorCode	TestFixedConstraintDerivativesAllFaces (void)
	Proves unit derivatives for every nonperiodic stored-row category and face.
static PetscErrorCode	TestInletOutletConstraintDerivatives (void)
	Proves admitted inlet and outlet face-normal rows have unit self derivatives.
static PetscErrorCode	CheckSingleAxisPeriodicDerivatives (const char *bcs, PetscInt axis)
	Checks one periodic configuration's endpoint derivatives on every component.
static PetscErrorCode	TestPeriodicConstraintDerivativesAndIntersections (void)
	Proves single-, double-, triple-, and mixed-boundary periodic equations.
static PetscErrorCode	TestMatrixFreeDerivative (void)
	Compares PETSc's matrix-free action with direct differencing.
static PetscErrorCode	BuildMinimalWallOperatorFixture (SimCtx **simCtx, UserCtx **user, PetscBool x_periodic)
	Builds a compact all-wall operator fixture through real boundary handlers.
static PetscErrorCode	TestWholeOperatorDirectJacobian (void)
	Forms the complete direct FD Jacobian, checks every row, and compares MFFD actions.
static PetscErrorCode	TestPeriodicOperatorHasNoZeroRows (void)
	Audits every row of a complete operator containing periodic duplicates.
static PetscErrorCode	TestSmallSolveAndRollback (void)
	Exercises a converged solve, forced rollback, and per-call cleanup.
static PetscErrorCode	TestZeroIterationStructuredLogging (void)
	Verifies the six-wall zero-velocity case logs zero Newton/Krylov work.
static PetscErrorCode	CheckFlatChannelStartup (PetscBool use_point_block)
	Exercises the straight-duct BDF1 startup path used by flat_channel.
static PetscErrorCode	TestFlatChannelStartup (void)
	Guards flat_channel's initial BDF1 residual and both shipped NK PCs.
static PetscErrorCode	TestRestartAndContinuationSolve (void)
	Verifies restarted Newton solves with both supported preconditioners.
static PetscErrorCode	TestUnsupportedConfigurationFailsBeforeAllocation (void)
	Confirms unsupported features fail before workspace allocation.
static PetscErrorCode	TestPostAllocationFailureCleanup (void)
	Verifies cleanup and rollback after an options failure following asset creation.
static PetscErrorCode	TestLinearizationConfigParsing (void)
	Verifies finalized application-owned linearization option parsing.
static PetscErrorCode	TestStencilToGlobal (UserCtx *user, MatStencil stencil, PetscInt *global_index)
	Converts an in-domain or periodic-ghost DMDA stencil to PETSc ordering.
static PetscErrorCode	PreconditionerMatrixStencilEntry (UserCtx *user, Mat preconditioning_matrix, MatStencil row, MatStencil col, PetscScalar *value)
	Reads one DMDA-stencil matrix entry through collective basis vectors.
static PetscErrorCode	AssertExactPointBlockMatrixAllocation (UserCtx *user, Mat matrix, PetscBool require_offrank_periodic)
	Verifies the exact AIJ layout and preallocation derived from row classes.
static PetscErrorCode	TestPointBlockPreconditionerEngine (void)
	Verifies the point-block model and common preconditioning-engine wiring.
static PetscErrorCode	AssertPeriodicPreconditionerRow (UserCtx *user, Mat matrix, MatStencil row, const char *message)
	Proves that one periodic matrix row has only its exact +1/-1 pair.
static PetscErrorCode	TestJacobianInterfaceAndBaselineAlias (void)
	Verifies Jacobian creation/registration and baseline alias ownership.
static PetscErrorCode	TestPointBlockPeriodicAssembly (void)
	Exercises engine-owned periodic duplicate rows on every MPI layout.
int	main (int argc, char **argv)
	Runs the focused Newton–Krylov unit suite.

Variables
static const char *	geometric_periodic_bcs
static const char *	fixed_wall_bcs
static const char *	parabolic_bcs
static const char *	periodic_x_bcs
static const char *	periodic_y_bcs
static const char *	periodic_z_bcs
static const char *	periodic_xy_bcs
static const char *	periodic_xyz_bcs

Detailed Description

Focused tests for the version-one matrix-free momentum solver.

The implementation is included intentionally: its callback helpers remain private in production while this translation unit can verify them directly.

Definition in file test_momentum_newton_krylov.c.

Macro Definition Documentation

MomentumSolver_NewtonKrylov

#define MomentumSolver_NewtonKrylov   MomentumSolver_NewtonKrylov_PrivateCopy

Definition at line 14 of file test_momentum_newton_krylov.c.

Function Documentation

AssertNewtonLog()

static PetscErrorCode AssertNewtonLog ( const char *  path, PetscInt  expected_rows, const char *  needle_a, const char *  needle_b  )

static

Checks a structured log's row count and required text after a collective solve.

Definition at line 65 of file test_momentum_newton_krylov.c.

{
    FILE *file = NULL;
    char line[4096];
    PetscInt rows = 0;
    PetscBool found_a = needle_a ? PETSC_FALSE : PETSC_TRUE;
    PetscBool found_b = needle_b ? PETSC_FALSE : PETSC_TRUE;
 
    PetscFunctionBeginUser;
    PetscCallMPI(MPI_Barrier(PETSC_COMM_WORLD));
    file = fopen(path, "r");
    PetscCheck(file != NULL, PETSC_COMM_SELF, PETSC_ERR_FILE_OPEN,
               "Expected Newton log does not exist: %s", path);
    while (fgets(line, sizeof(line), file)) {
        if (strncmp(line, "step:", 5) == 0) rows++;
        if (needle_a && strstr(line, needle_a)) found_a = PETSC_TRUE;
        if (needle_b && strstr(line, needle_b)) found_b = PETSC_TRUE;
    }
    fclose(file);
    if (expected_rows >= 0) {
        PetscCall(PicurvAssertIntEqual(expected_rows, rows,
                                       "Newton log must contain one nonduplicated row per solve"));
    } else {
        PetscCall(PicurvAssertBool((PetscBool)(rows >= -expected_rows),
                                   "enabled Newton history must contain the expected iteration rows"));
    }
    PetscCall(PicurvAssertBool(found_a, "Newton log is missing required structured content"));
    PetscCall(PicurvAssertBool(found_b, "Newton log is missing required structured content"));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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BuildNewtonFixture()

static PetscErrorCode BuildNewtonFixture ( const char *  bcs, SimCtx **  simCtx, UserCtx **  user, char *  tmpdir, size_t  tmpdir_len  )

static

Builds and initializes a small runtime context for Newton tests.

Parameters

bcs	Optional boundary configuration text.
simCtx	Returned simulation context.
user	Returned finest-level block context.
tmpdir	Returned temporary directory.
tmpdir_len	Capacity of tmpdir.

Returns

PetscErrorCode 0 on success.

Definition at line 106 of file test_momentum_newton_krylov.c.

{
    PetscFunctionBeginUser;
    PetscCall(PicurvBuildTinyRuntimeContext(bcs, PETSC_FALSE, simCtx, user, tmpdir, tmpdir_len));
    PetscCall(InitializeEulerianState(*simCtx));
    (*simCtx)->mom_solver_type = MOMENTUM_SOLVER_NEWTON_KRYLOV;
    PetscCall(PicurvAssertBool((PetscBool)((*user)->Rhs == NULL),
                               "Newton fixture must enter with no persistent Rhs workspace"));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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DestroyNewtonFixture()

static PetscErrorCode DestroyNewtonFixture ( SimCtx **  simCtx, char *  tmpdir  )

static

Destroys a Newton test fixture and its temporary files.

Parameters

simCtx	Fixture simulation context.
tmpdir	Fixture temporary directory.

Returns

PetscErrorCode 0 on success.

Definition at line 124 of file test_momentum_newton_krylov.c.

{
    PetscFunctionBeginUser;
    PetscCall(PicurvDestroyRuntimeContext(simCtx));
    PetscCall(PicurvRemoveTempDir(tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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WriteNewtonPicSlice()

static PetscErrorCode WriteNewtonPicSlice ( const char *  path )

static

Writes one static 5x5 PICSLICE profile used by the full runtime fixture.

Parameters

path	Output profile path.

Returns

PetscErrorCode 0 on success.

Definition at line 137 of file test_momentum_newton_krylov.c.

{
    FILE *fd = NULL;
 
    PetscFunctionBeginUser;
    fd = fopen(path, "w");
    PetscCheck(fd != NULL, PETSC_COMM_SELF, PETSC_ERR_FILE_OPEN,
               "Could not create Newton test PICSLICE %s.", path);
    PetscCheck(fprintf(fd, "PICSLICE\n1\n5 5\n") >= 0,
               PETSC_COMM_SELF, PETSC_ERR_FILE_WRITE, "Could not write PICSLICE header.");
    for (PetscInt row = 0; row < 25; ++row) {
        PetscCheck(fprintf(fd, "%.16e\n", 1.0 + 0.01 * (double)row) >= 0,
                   PETSC_COMM_SELF, PETSC_ERR_FILE_WRITE, "Could not write PICSLICE value.");
    }
    fclose(fd);
    PetscFunctionReturn(PETSC_SUCCESS);
}

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CheckResidualRepeatabilityForBC()

static PetscErrorCode CheckResidualRepeatabilityForBC ( const char *  bcs, const char *  label  )

static

Checks callback repeatability, diagnostic-state independence, and X integrity.

Parameters

bcs	Boundary configuration text, or NULL for the standard inlet/outlet fixture.
label	Configuration label used in assertion diagnostics.

Returns

PetscErrorCode 0 on success.

Definition at line 161 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    Vec x = NULL, x_copy = NULL, f1 = NULL, f2 = NULL, delta = NULL;
    PetscReal norm = 0.0;
    MomentumNewtonKrylovContext ctx;
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs));
    PetscCall(VecDuplicate(user->Ucont, &x));
    PetscCall(VecDuplicate(user->Ucont, &x_copy));
    PetscCall(VecDuplicate(user->Ucont, &f1));
    PetscCall(VecDuplicate(user->Ucont, &f2));
    PetscCall(VecDuplicate(user->Ucont, &delta));
    PetscCall(VecCopy(user->Ucont, x));
    PetscCall(VecShift(x, 0.125));
    PetscCall(VecCopy(x, x_copy));
    ctx.user = user;
 
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f1, &ctx));
    /* Poison every piece of hidden state a non-deterministic residual could lean
     * on: the boundary flux/area diagnostics AND the persistent Cartesian fields
     * (Ucat/lUcat). The conservation-outlet handler reads lUcat during its first
     * boundary sweep, so a callback that does not reconstruct the Cartesian state
     * from X before applying boundary conditions would produce a different F here.
     * This assertion therefore fails if the deterministic pre-boundary seed in
     * MomentumNewtonKrylov_FormResidual() is ever removed. */
    simCtx->FluxInSum = 1234.0;
    simCtx->FluxOutSum = -4321.0;
    simCtx->FarFluxInSum = 77.0;
    simCtx->FarFluxOutSum = -88.0;
    PetscCall(VecSet(user->Ucat, 7.0));
    PetscCall(VecSet(user->lUcat, 7.0));
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f2, &ctx));
    PetscCall(VecWAXPY(delta, -1.0, f1, f2));
    PetscCall(VecNorm(delta, NORM_INFINITY, &norm));
    PetscCheck(norm <= 1.0e-13, PETSC_COMM_WORLD, PETSC_ERR_PLIB,
               "%s residual changed between identical evaluations (inf norm=%g).", label, (double)norm);
    PetscCall(VecNorm(delta, NORM_2, &norm));
    PetscCheck(norm <= 1.0e-12, PETSC_COMM_WORLD, PETSC_ERR_PLIB,
               "%s residual changed between identical evaluations (L2 norm=%g).", label, (double)norm);
    PetscCall(VecWAXPY(delta, -1.0, x_copy, x));
    PetscCall(VecNorm(delta, NORM_INFINITY, &norm));
    PetscCheck(norm == 0.0, PETSC_COMM_WORLD, PETSC_ERR_PLIB,
               "%s residual callback modified X (norm=%g).", label, (double)norm);
 
    PetscCall(VecDestroy(&delta));
    PetscCall(VecDestroy(&f2));
    PetscCall(VecDestroy(&f1));
    PetscCall(VecDestroy(&x_copy));
    PetscCall(VecDestroy(&x));
    PetscCall(VecDestroy(&user->Rhs));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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OwnsStoredPoint()

static PetscBool OwnsStoredPoint ( UserCtx *  user, PetscInt  i, PetscInt  j, PetscInt  k  )

static

Returns whether this rank owns one global DMDA grid point.

Definition at line 221 of file test_momentum_newton_krylov.c.

{
    return (PetscBool)(i >= user->info.xs && i < user->info.xs + user->info.xm &&
                       j >= user->info.ys && j < user->info.ys + user->info.ym &&
                       k >= user->info.zs && k < user->info.zs + user->info.zm);
}

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PerturbStoredValue()

static PetscErrorCode PerturbStoredValue ( UserCtx *  user, Vec  vec, PetscInt  i, PetscInt  j, PetscInt  k, PetscInt  component, PetscScalar  delta  )

static

Adds a scalar perturbation to one stored staggered component.

Parameters

user	Block context defining vector ownership.
vec	Vector to modify.
i	Global i index.
j	Global j index.
k	Global k index.
component	Component 0=x, 1=y, 2=z.
delta	Increment to apply.

Returns

PetscErrorCode 0 on success.

Definition at line 239 of file test_momentum_newton_krylov.c.

{
    Cmpnts ***a = NULL;
 
    PetscFunctionBeginUser;
    if (OwnsStoredPoint(user, i, j, k)) {
        PetscCall(DMDAVecGetArray(user->fda, vec, &a));
        if (component == 0) a[k][j][i].x += delta;
        else if (component == 1) a[k][j][i].y += delta;
        else a[k][j][i].z += delta;
        PetscCall(DMDAVecRestoreArray(user->fda, vec, &a));
    }
    PetscFunctionReturn(PETSC_SUCCESS);
}

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GetStoredValue()

static PetscErrorCode GetStoredValue ( UserCtx *  user, Vec  vec, PetscInt  i, PetscInt  j, PetscInt  k, PetscInt  component, PetscScalar *  value  )

static

Reads one globally indexed stored component on any MPI decomposition.

Parameters

user	Block context defining vector ownership.
vec	Vector to inspect.
i	Global i index.
j	Global j index.
k	Global k index.
component	Component 0=x, 1=y, 2=z.
value	Returned globally reduced scalar.

Returns

PetscErrorCode 0 on success.

Definition at line 266 of file test_momentum_newton_krylov.c.

{
    Cmpnts ***a = NULL;
    PetscScalar local = 0.0;
 
    PetscFunctionBeginUser;
    if (OwnsStoredPoint(user, i, j, k)) {
        PetscCall(DMDAVecGetArrayRead(user->fda, vec, &a));
        local = component == 0 ? a[k][j][i].x : (component == 1 ? a[k][j][i].y : a[k][j][i].z);
        PetscCall(DMDAVecRestoreArrayRead(user->fda, vec, &a));
    }
    PetscCallMPI(MPI_Allreduce(&local, value, 1, MPIU_SCALAR, MPIU_SUM, PETSC_COMM_WORLD));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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MeasureStoredDerivative()

static PetscErrorCode MeasureStoredDerivative ( UserCtx *  user, Vec  x, PetscInt  row_i, PetscInt  row_j, PetscInt  row_k, PetscInt  row_component, PetscInt  col_i, PetscInt  col_j, PetscInt  col_k, PetscInt  col_component, PetscReal *  derivative  )

static

Finite-differences one callback row with respect to one stored unknown.

Parameters

user	Active block context with allocated Rhs.
x	Base trial vector.
row_i	Residual-row i index.
row_j	Residual-row j index.
row_k	Residual-row k index.
row_component	Residual-row component.
col_i	Perturbed unknown i index.
col_j	Perturbed unknown j index.
col_k	Perturbed unknown k index.
col_component	Perturbed unknown component.
derivative	Returned finite-difference derivative of the row w.r.t. the unknown.

Returns

PetscErrorCode 0 on success.

Definition at line 297 of file test_momentum_newton_krylov.c.

{
    const PetscReal epsilon = 1.0e-6;
    Vec f0 = NULL, fp = NULL, xp = NULL;
    PetscScalar base_value = 0.0, perturbed_value = 0.0;
    MomentumNewtonKrylovContext ctx = {user};
 
    PetscFunctionBeginUser;
    PetscCall(VecDuplicate(x, &f0));
    PetscCall(VecDuplicate(x, &fp));
    PetscCall(VecDuplicate(x, &xp));
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f0, &ctx));
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f0, &ctx));
    PetscCall(VecCopy(x, xp));
    PetscCall(PerturbStoredValue(user, xp, col_i, col_j, col_k, col_component, epsilon));
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, xp, fp, &ctx));
    PetscCall(GetStoredValue(user, f0, row_i, row_j, row_k, row_component, &base_value));
    PetscCall(GetStoredValue(user, fp, row_i, row_j, row_k, row_component, &perturbed_value));
    *derivative = PetscRealPart((perturbed_value - base_value) / epsilon);
    PetscCall(VecDestroy(&xp));
    PetscCall(VecDestroy(&fp));
    PetscCall(VecDestroy(&f0));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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CheckStoredDerivative()

static PetscErrorCode CheckStoredDerivative ( UserCtx *  user, Vec  x, PetscInt  row_i, PetscInt  row_j, PetscInt  row_k, PetscInt  row_component, PetscInt  col_i, PetscInt  col_j, PetscInt  col_k, PetscInt  col_component, PetscReal  expected, PetscReal  tolerance, const char *  label  )

static

Asserts one finite-differenced callback row derivative equals an expected value.

Parameters

user	Active block context with allocated Rhs.
x	Base trial vector.
row_i	Residual-row i index.
row_j	Residual-row j index.
row_k	Residual-row k index.
row_component	Residual-row component.
col_i	Perturbed unknown i index.
col_j	Perturbed unknown j index.
col_k	Perturbed unknown k index.
col_component	Perturbed unknown component.
expected	Expected derivative.
tolerance	Absolute derivative tolerance.
label	Assertion label.

Returns

PetscErrorCode 0 on success.

Definition at line 343 of file test_momentum_newton_krylov.c.

{
    PetscReal derivative = 0.0;
 
    PetscFunctionBeginUser;
    PetscCall(MeasureStoredDerivative(user, x, row_i, row_j, row_k, row_component,
                                      col_i, col_j, col_k, col_component, &derivative));
    PetscCall(PicurvAssertRealNear(expected, derivative, tolerance, label));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestResidualRepeatabilityAndInputIntegrity()

static PetscErrorCode TestResidualRepeatabilityAndInputIntegrity ( void  )

static

Verifies repeatable callback output and read-only trial input.

Definition at line 359 of file test_momentum_newton_krylov.c.

{
    char profile_dir[PETSC_MAX_PATH_LEN] = "";
    char profile_path[PETSC_MAX_PATH_LEN];
    char file_bcs[2 * PETSC_MAX_PATH_LEN];
 
    PetscFunctionBeginUser;
    PetscCall(CheckResidualRepeatabilityForBC(fixed_wall_bcs, "fixed walls"));
    PetscCall(CheckResidualRepeatabilityForBC(NULL, "constant inlet/conservation outlet"));
    PetscCall(CheckResidualRepeatabilityForBC(parabolic_bcs, "parabolic inlet/conservation outlet"));
    PetscCall(CheckResidualRepeatabilityForBC(periodic_x_bcs, "x periodic"));
    PetscCall(CheckResidualRepeatabilityForBC(periodic_y_bcs, "y periodic"));
    PetscCall(CheckResidualRepeatabilityForBC(periodic_z_bcs, "z periodic"));
    PetscCall(CheckResidualRepeatabilityForBC(periodic_xy_bcs, "mixed x-y periodic"));
 
    PetscCall(PicurvMakeTempDir(profile_dir, sizeof(profile_dir)));
    PetscCall(PetscSNPrintf(profile_path, sizeof(profile_path), "%s/inlet.picslice", profile_dir));
    PetscCall(WriteNewtonPicSlice(profile_path));
    PetscCall(PetscSNPrintf(file_bcs, sizeof(file_bcs),
        "-Xi WALL noslip\n+Xi WALL noslip\n-Eta WALL noslip\n+Eta WALL noslip\n"
        "-Zeta INLET prescribed_flow source_file=%s\n+Zeta OUTLET conservation\n", profile_path));
    PetscCall(CheckResidualRepeatabilityForBC(file_bcs, "file inlet/conservation outlet"));
    PetscCall(PicurvRemoveTempDir(profile_dir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestConstraintRows()

static PetscErrorCode TestConstraintRows ( void  )

static

Verifies fixed, periodic-duplicate, and interior residual rows.

Definition at line 386 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    Vec x = NULL, f = NULL;
    Cmpnts ***xa = NULL, ***fa = NULL, ***conditioned = NULL, ***rhs = NULL;
    MomentumNewtonKrylovContext ctx;
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(geometric_periodic_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs));
    PetscCall(VecDuplicate(user->Ucont, &x));
    PetscCall(VecDuplicate(user->Ucont, &f));
    PetscCall(VecSet(x, 0.25));
    PetscCall(DMDAVecGetArray(user->fda, x, &xa));
    if (user->info.xs == 0 && 2 >= user->info.ys && 2 < user->info.ys + user->info.ym &&
        2 >= user->info.zs && 2 < user->info.zs + user->info.zm) xa[2][2][0].x = 3.0;
    if (user->info.xs + user->info.xm == user->info.mx &&
        2 >= user->info.ys && 2 < user->info.ys + user->info.ym &&
        2 >= user->info.zs && 2 < user->info.zs + user->info.zm) xa[2][2][user->info.mx - 2].x = 1.25;
    PetscCall(DMDAVecRestoreArray(user->fda, x, &xa));
    ctx.user = user;
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f, &ctx));
 
    PetscCall(DMDAVecGetArrayRead(user->fda, x, &xa));
    PetscCall(DMDAVecGetArrayRead(user->fda, f, &fa));
    PetscCall(DMDAVecGetArrayRead(user->fda, user->Ucont, &conditioned));
    PetscCall(DMDAVecGetArrayRead(user->fda, user->Rhs, &rhs));
    if (user->info.xs == 0 && 2 >= user->info.ys && 2 < user->info.ys + user->info.ym &&
        2 >= user->info.zs && 2 < user->info.zs + user->info.zm) {
        PetscCall(PicurvAssertRealNear(1.75, fa[2][2][0].x, 1.0e-12,
                                       "periodic duplicate row must be Xdup-Xrep"));
    }
    if (user->info.ys == 0 && 2 >= user->info.xs && 2 < user->info.xs + user->info.xm &&
        2 >= user->info.zs && 2 < user->info.zs + user->info.zm) {
        PetscCall(PicurvAssertRealNear(xa[2][0][2].y - conditioned[2][0][2].y,
                                       fa[2][0][2].y, 1.0e-12,
                                       "fixed wall row must be X minus conditioned boundary value"));
    }
    if (2 >= user->info.xs && 2 < user->info.xs + user->info.xm &&
        2 >= user->info.ys && 2 < user->info.ys + user->info.ym &&
        2 >= user->info.zs && 2 < user->info.zs + user->info.zm) {
        PetscCall(PicurvAssertRealNear(-rhs[2][2][2].z, fa[2][2][2].z, 1.0e-12,
                                       "unconstrained interior row must retain the physical residual"));
    }
    PetscCall(DMDAVecRestoreArrayRead(user->fda, user->Rhs, &rhs));
    PetscCall(DMDAVecRestoreArrayRead(user->fda, user->Ucont, &conditioned));
    PetscCall(DMDAVecRestoreArrayRead(user->fda, f, &fa));
    PetscCall(DMDAVecRestoreArrayRead(user->fda, x, &xa));
 
    PetscCall(VecDestroy(&f));
    PetscCall(VecDestroy(&x));
    PetscCall(VecDestroy(&user->Rhs));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestFixedConstraintDerivativesAllFaces()

static PetscErrorCode TestFixedConstraintDerivativesAllFaces ( void  )

static

Proves unit derivatives for every nonperiodic stored-row category and face.

Definition at line 445 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    Vec x = NULL;
    const PetscInt size[3] = {7, 7, 7};
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(fixed_wall_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs));
    PetscCall(VecDuplicate(user->Ucont, &x));
    PetscCall(VecSet(x, 0.2));
 
    for (PetscInt axis = 0; axis < 3; ++axis) {
        PetscInt coord[3] = {2, 2, 2}, ri, rj, rk;
        PetscInt tangent = (axis + 1) % 3;
        MomentumRowType row;
 
        coord[axis] = 0;
        row = ClassifyMomentumRow(user, coord[0], coord[1], coord[2], axis, &ri, &rj, &rk);
        PetscCall(PicurvAssertIntEqual(MOM_ROW_FIXED_CONDITIONED, row,
                                       "negative face normal row classification"));
        PetscCall(CheckStoredDerivative(user, x, coord[0], coord[1], coord[2], axis,
            coord[0], coord[1], coord[2], axis, 1.0, 1.0e-8,
            "negative face normal fixed derivative"));
 
        row = ClassifyMomentumRow(user, coord[0], coord[1], coord[2], tangent, &ri, &rj, &rk);
        PetscCall(PicurvAssertIntEqual(MOM_ROW_FIXED_HOMOGENEOUS, row,
                                       "negative face tangential row classification"));
        PetscCall(CheckStoredDerivative(user, x, coord[0], coord[1], coord[2], tangent,
            coord[0], coord[1], coord[2], tangent, 1.0, 1.0e-8,
            "negative face tangential homogeneous derivative"));
 
        coord[axis] = size[axis] - 2;
        row = ClassifyMomentumRow(user, coord[0], coord[1], coord[2], axis, &ri, &rj, &rk);
        PetscCall(PicurvAssertIntEqual(MOM_ROW_FIXED_CONDITIONED, row,
                                       "positive physical normal row classification"));
        PetscCall(CheckStoredDerivative(user, x, coord[0], coord[1], coord[2], axis,
            coord[0], coord[1], coord[2], axis, 1.0, 1.0e-8,
            "positive physical normal fixed derivative"));
        row = ClassifyMomentumRow(user, coord[0], coord[1], coord[2], tangent, &ri, &rj, &rk);
        PetscCall(PicurvAssertIntEqual(MOM_ROW_PHYSICAL, row,
                                       "positive physical tangential row classification"));
 
        coord[axis] = size[axis] - 1;
        for (PetscInt component = 0; component < 3; ++component) {
            row = ClassifyMomentumRow(user, coord[0], coord[1], coord[2], component, &ri, &rj, &rk);
            PetscCall(PicurvAssertIntEqual(MOM_ROW_FIXED_HOMOGENEOUS, row,
                                           "positive dummy row classification"));
            PetscCall(CheckStoredDerivative(user, x, coord[0], coord[1], coord[2], component,
                coord[0], coord[1], coord[2], component, 1.0, 1.0e-8,
                "positive dummy homogeneous derivative"));
        }
    }
 
    PetscCall(VecDestroy(&x));
    PetscCall(VecDestroy(&user->Rhs));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestInletOutletConstraintDerivatives()

static PetscErrorCode TestInletOutletConstraintDerivatives ( void  )

static

Proves admitted inlet and outlet face-normal rows have unit self derivatives.

Definition at line 508 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    Vec x = NULL;
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(NULL, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs));
    PetscCall(VecDuplicate(user->Ucont, &x));
    PetscCall(VecCopy(user->Ucont, x));
    PetscCall(VecShift(x, 0.1));
    PetscCall(CheckStoredDerivative(user, x, 2, 2, 0, 2, 2, 2, 0, 2,
                                     1.0, 1.0e-8, "constant inlet fixed derivative"));
    /* The constant-velocity inlet imposes a value independent of X, so its
     * conditioned row F = X - cv has an exact unit self derivative.
     *
     * The conservation outlet is different: cv is the corrected outlet flux,
     * which the deterministic residual now reconstructs from the current X
     * (Ucat is seeded from X before the first outlet pass). Perturbing the
     * outlet-normal DOF therefore changes cv, so the self derivative is
     * 1 - dcv/dX and is strictly less than one. A self derivative of exactly
     * 1.0 here was an artifact of the pre-fix residual reading a stale
     * Cartesian state, i.e. an outlet correction decoupled from X. Assert the
     * derivative is (a) deterministic across independent evaluations -- the
     * residual-purity property -- and (b) reflects real conservation coupling
     * (0 < d < 1), rather than asserting a fixture-specific magic number. */
    {
        PetscReal d0 = 0.0, d1 = 0.0;
        PetscCall(MeasureStoredDerivative(user, x, 2, 2, user->info.mz - 2, 2,
                                          2, 2, user->info.mz - 2, 2, &d0));
        PetscCall(MeasureStoredDerivative(user, x, 2, 2, user->info.mz - 2, 2,
                                          2, 2, user->info.mz - 2, 2, &d1));
        PetscCall(PicurvAssertRealNear(d0, d1, 1.0e-9,
            "conservation outlet self derivative must be deterministic"));
        PetscCheck(d0 > 1.0e-3 && d0 < 1.0 - 1.0e-3, PETSC_COMM_WORLD, PETSC_ERR_PLIB,
            "conservation outlet self derivative must reflect X-coupling (0<d<1), got %g.",
            (double)d0);
    }
    PetscCall(VecDestroy(&x));
    PetscCall(VecDestroy(&user->Rhs));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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CheckSingleAxisPeriodicDerivatives()

static PetscErrorCode CheckSingleAxisPeriodicDerivatives ( const char *  bcs, PetscInt  axis  )

static

Checks one periodic configuration's endpoint derivatives on every component.

Parameters

bcs	Boundary text selecting the periodic axis.
axis	Periodic axis index.

Returns

PetscErrorCode 0 on success.

Definition at line 560 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    Vec x = NULL;
    PetscInt size[3], dup[3] = {2, 2, 2}, rep[3] = {2, 2, 2}, unrelated[3] = {3, 3, 3};
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    size[0] = user->info.mx; size[1] = user->info.my; size[2] = user->info.mz;
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs));
    PetscCall(VecDuplicate(user->Ucont, &x));
    PetscCall(VecSet(x, 0.15));
    for (PetscInt side = 0; side < 2; ++side) {
        dup[axis] = side == 0 ? 0 : size[axis] - 1;
        rep[axis] = side == 0 ? size[axis] - 2 : 1;
        for (PetscInt component = 0; component < 3; ++component) {
            PetscCall(CheckStoredDerivative(user, x, dup[0], dup[1], dup[2], component,
                dup[0], dup[1], dup[2], component, 1.0, 1.0e-8,
                "periodic duplicate self derivative"));
            PetscCall(CheckStoredDerivative(user, x, dup[0], dup[1], dup[2], component,
                rep[0], rep[1], rep[2], component, -1.0, 1.0e-8,
                "periodic representative derivative"));
            PetscCall(CheckStoredDerivative(user, x, dup[0], dup[1], dup[2], component,
                unrelated[0], unrelated[1], unrelated[2], (component + 1) % 3, 0.0, 1.0e-8,
                "periodic constraint unrelated derivative"));
        }
    }
    PetscCall(VecDestroy(&x));
    PetscCall(VecDestroy(&user->Rhs));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestPeriodicConstraintDerivativesAndIntersections()

static PetscErrorCode TestPeriodicConstraintDerivativesAndIntersections ( void  )

static

Proves single-, double-, triple-, and mixed-boundary periodic equations.

Definition at line 596 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    Vec x = NULL, f = NULL;
    MomentumNewtonKrylovContext ctx;
    PetscScalar xdup, synced, residual;
 
    PetscFunctionBeginUser;
    PetscCall(CheckSingleAxisPeriodicDerivatives(periodic_x_bcs, 0));
    PetscCall(CheckSingleAxisPeriodicDerivatives(periodic_y_bcs, 1));
    PetscCall(CheckSingleAxisPeriodicDerivatives(periodic_z_bcs, 2));
 
    PetscCall(BuildNewtonFixture(periodic_xy_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs));
    PetscCall(VecDuplicate(user->Ucont, &x));
    PetscCall(VecDuplicate(user->Ucont, &f));
    PetscCall(VecSet(x, 0.0));
    PetscCall(PerturbStoredValue(user, x, 0, 0, 2, 0, 3.0));
    PetscCall(PerturbStoredValue(user, x, user->info.mx - 2, user->info.my - 2, 2, 0, 1.25));
    PetscCall(VecCopy(x, user->Ucont));
    { const FieldId fields[] = {FIELD_ID_UCONT}; PetscCall(SynchronizePeriodicStaggeredFields(user, 1, fields)); }
    PetscCall(GetStoredValue(user, x, 0, 0, 2, 0, &xdup));
    PetscCall(GetStoredValue(user, user->Ucont, 0, 0, 2, 0, &synced));
    ctx.user = user;
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f, &ctx));
    PetscCall(GetStoredValue(user, f, 0, 0, 2, 0, &residual));
    PetscCall(PicurvAssertRealNear(PetscRealPart(xdup - synced), PetscRealPart(residual), 1.0e-12,
                                   "doubly periodic edge must use production synchronized representative"));
    PetscCall(CheckStoredDerivative(user, x, 0, 0, 2, 0, 0, 0, 2, 0, 1.0, 1.0e-8,
                                     "doubly periodic edge self derivative"));
    PetscCall(CheckStoredDerivative(user, x, 0, 0, 2, 0,
        user->info.mx - 2, user->info.my - 2, 2, 0, -1.0, 1.0e-8,
        "doubly periodic edge representative derivative"));
    PetscCall(VecDestroy(&f)); PetscCall(VecDestroy(&x)); PetscCall(VecDestroy(&user->Rhs));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
 
    tmpdir[0] = '\0';
    PetscCall(BuildNewtonFixture(periodic_xyz_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs));
    PetscCall(VecDuplicate(user->Ucont, &x)); PetscCall(VecSet(x, 0.1));
    PetscCall(CheckStoredDerivative(user, x, 0, 0, 0, 2, 0, 0, 0, 2, 1.0, 1.0e-8,
                                     "fully periodic corner self derivative"));
    PetscCall(CheckStoredDerivative(user, x, 0, 0, 0, 2,
        user->info.mx - 2, user->info.my - 2, user->info.mz - 2, 2,
        -1.0, 1.0e-8, "fully periodic corner representative derivative"));
    PetscCall(VecDestroy(&x)); PetscCall(VecDestroy(&user->Rhs));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
 
    tmpdir[0] = '\0';
    PetscCall(BuildNewtonFixture(periodic_x_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs)); PetscCall(VecDuplicate(user->Ucont, &x));
    PetscCall(VecSet(x, 0.1));
    PetscCall(CheckStoredDerivative(user, x, 0, 0, 2, 1, 0, 0, 2, 1, 1.0, 1.0e-8,
                                     "periodic-wall intersection self derivative"));
    PetscCall(CheckStoredDerivative(user, x, 0, 0, 2, 1,
        user->info.mx - 2, 0, 2, 1, -1.0, 1.0e-8,
        "periodic-wall intersection representative derivative"));
    PetscCall(VecDestroy(&x)); PetscCall(VecDestroy(&user->Rhs));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestMatrixFreeDerivative()

static PetscErrorCode TestMatrixFreeDerivative ( void  )

static

Compares PETSc's matrix-free action with direct differencing.

Definition at line 661 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    SNES snes = NULL;
    Mat J = NULL;
    Vec x = NULL, xp = NULL, f0 = NULL, fp = NULL, v = NULL, jv = NULL, fd = NULL;
    PetscReal h = 0.0, error = 0.0, scale = 0.0;
    MomentumNewtonKrylovContext ctx;
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(NULL, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs));
    PetscCall(VecDuplicate(user->Ucont, &x));
    PetscCall(VecDuplicate(user->Ucont, &xp));
    PetscCall(VecDuplicate(user->Ucont, &f0));
    PetscCall(VecDuplicate(user->Ucont, &fp));
    PetscCall(VecDuplicate(user->Ucont, &v));
    PetscCall(VecDuplicate(user->Ucont, &jv));
    PetscCall(VecDuplicate(user->Ucont, &fd));
    PetscCall(VecCopy(user->Ucont, x));
    PetscCall(VecShift(x, 0.05));
    PetscCall(VecSet(v, 0.5));
    ctx.user = user;
 
    PetscCall(SNESCreate(PETSC_COMM_WORLD, &snes));
    PetscCall(SNESSetDM(snes, user->fda));
    PetscCall(SNESSetFunction(snes, f0, MomentumNewtonKrylov_FormResidual, &ctx));
    PetscCall(MatCreateSNESMF(snes, &J));
    PetscCall(MomentumNewtonKrylov_FormResidual(snes, x, f0, &ctx));
    PetscCall(MatMFFDSetBase(J, x, f0));
    PetscCall(MatMult(J, v, jv));
    PetscCall(MatMFFDGetH(J, &h));
    PetscCall(VecWAXPY(xp, h, v, x));
    PetscCall(MomentumNewtonKrylov_FormResidual(snes, xp, fp, &ctx));
    PetscCall(VecWAXPY(fd, -1.0, f0, fp));
    PetscCall(VecScale(fd, 1.0 / h));
    PetscCall(VecAXPY(fd, -1.0, jv));
    PetscCall(VecNorm(fd, NORM_2, &error));
    PetscCall(VecNorm(jv, NORM_2, &scale));
    PetscCall(PicurvAssertBool((PetscBool)(error <= 1.0e-9 * PetscMax(1.0, scale)),
                               "matrix-free Jv must match direct differencing"));
 
    PetscCall(VecDestroy(&fd));
    PetscCall(VecDestroy(&jv));
    PetscCall(VecDestroy(&v));
    PetscCall(VecDestroy(&fp));
    PetscCall(VecDestroy(&f0));
    PetscCall(VecDestroy(&xp));
    PetscCall(VecDestroy(&x));
    PetscCall(MatDestroy(&J));
    PetscCall(SNESDestroy(&snes));
    PetscCall(VecDestroy(&user->Rhs));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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BuildMinimalWallOperatorFixture()

static PetscErrorCode BuildMinimalWallOperatorFixture ( SimCtx **  simCtx, UserCtx **  user, PetscBool  x_periodic  )

static

Builds a compact all-wall operator fixture through real boundary handlers.

Parameters

simCtx	Returned simulation context.
user	Returned block context.
x_periodic	Whether the x faces use geometric periodicity.

Returns

PetscErrorCode 0 on success.

Definition at line 726 of file test_momentum_newton_krylov.c.

{
    PetscFunctionBeginUser;
    /* Request the production-width (3) DMDA stencil so the complete RHS is safe
       across MPI partitions; boundary metadata below still selects physical walls. */
    PetscCall(PicurvCreateMinimalContextsWithPeriodicity(
        simCtx, user, 6, 6, 6, PETSC_TRUE, PETSC_TRUE, PETSC_TRUE));
    (*simCtx)->i_periodic = x_periodic ? 1 : 0;
    (*simCtx)->j_periodic = (*simCtx)->k_periodic = 0;
    (*simCtx)->mom_solver_type = MOMENTUM_SOLVER_NEWTON_KRYLOV;
    (*simCtx)->invicid = 1;
    (*simCtx)->dt = 0.1;
    (*simCtx)->step = 1;
    (*simCtx)->StartStep = 0;
    PetscCall(VecSet((*user)->Ucont, 0.0));
    PetscCall(VecSet((*user)->Ucont_o, 0.0));
    PetscCall(VecSet((*user)->Ucont_rm1, 0.0));
    for (PetscInt face = 0; face < 6; ++face) {
        PetscBool periodic_face = (PetscBool)(x_periodic &&
            (face == BC_FACE_NEG_X || face == BC_FACE_POS_X));
        (*user)->boundary_faces[face].face_id = (BCFace)face;
        (*user)->boundary_faces[face].mathematical_type = periodic_face ? PERIODIC : WALL;
        (*user)->boundary_faces[face].handler_type = periodic_face ?
            BC_HANDLER_PERIODIC_GEOMETRIC : BC_HANDLER_WALL_NOSLIP;
        PetscCall(BoundaryCondition_Create((*user)->boundary_faces[face].handler_type,
                                            &(*user)->boundary_faces[face].handler));
    }
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestWholeOperatorDirectJacobian()

static PetscErrorCode TestWholeOperatorDirectJacobian ( void  )

static

Forms the complete direct FD Jacobian, checks every row, and compares MFFD actions.

Definition at line 760 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    SNES snes = NULL;
    Mat J = NULL;
    Vec x = NULL, xp = NULL, f0 = NULL, fp = NULL, column = NULL, square = NULL;
    Vec row_norm_sq = NULL, v[2] = {NULL, NULL}, dense_v[2] = {NULL, NULL};
    Vec mffd_v = NULL, error_vec = NULL;
    PetscInt n_global, lo, hi;
    PetscReal min_row_sq = 0.0, error = 0.0, reference = 0.0;
    const PetscReal epsilon = 1.0e-7;
    MomentumNewtonKrylovContext ctx;
 
    PetscFunctionBeginUser;
    PetscCall(BuildMinimalWallOperatorFixture(&simCtx, &user, PETSC_FALSE));
    PetscCall(VecDuplicate(user->Ucont, &x)); PetscCall(VecSet(x, 0.0));
    PetscCall(VecDuplicate(x, &xp)); PetscCall(VecDuplicate(x, &f0));
    PetscCall(VecDuplicate(x, &fp)); PetscCall(VecDuplicate(x, &column));
    PetscCall(VecDuplicate(x, &square)); PetscCall(VecDuplicate(x, &row_norm_sq));
    PetscCall(VecDuplicate(x, &v[0])); PetscCall(VecDuplicate(x, &v[1]));
    PetscCall(VecDuplicate(x, &dense_v[0])); PetscCall(VecDuplicate(x, &dense_v[1]));
    PetscCall(VecDuplicate(x, &mffd_v)); PetscCall(VecDuplicate(x, &error_vec));
    PetscCall(VecZeroEntries(row_norm_sq)); PetscCall(VecZeroEntries(dense_v[0]));
    PetscCall(VecZeroEntries(dense_v[1]));
    PetscCall(VecGetSize(x, &n_global));
    PetscCall(VecGetOwnershipRange(x, &lo, &hi));
    for (PetscInt which = 0; which < 2; ++which) {
        PetscScalar *a = NULL;
        PetscCall(VecGetArray(v[which], &a));
        for (PetscInt local = 0; local < hi - lo; ++local) {
            PetscInt global = lo + local;
            a[local] = which == 0 ? (PetscScalar)(1.0 + 0.05 * (global % 9))
                                  : (PetscScalar)(((global % 2) ? -1.0 : 1.0) * (0.5 + 0.03 * (global % 7)));
        }
        PetscCall(VecRestoreArray(v[which], &a));
    }
 
    ctx.user = user;
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f0, &ctx));
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f0, &ctx));
    for (PetscInt col = 0; col < n_global; ++col) {
        PetscScalar coeff[2] = {
            (PetscScalar)(1.0 + 0.05 * (col % 9)),
            (PetscScalar)(((col % 2) ? -1.0 : 1.0) * (0.5 + 0.03 * (col % 7)))
        };
        PetscCall(VecCopy(x, xp));
        if (col >= lo && col < hi) PetscCall(VecSetValue(xp, col, epsilon, ADD_VALUES));
        PetscCall(VecAssemblyBegin(xp)); PetscCall(VecAssemblyEnd(xp));
        PetscCall(MomentumNewtonKrylov_FormResidual(NULL, xp, fp, &ctx));
        PetscCall(VecWAXPY(column, -1.0, f0, fp));
        PetscCall(VecScale(column, 1.0 / epsilon));
        PetscCall(VecPointwiseMult(square, column, column));
        PetscCall(VecAXPY(row_norm_sq, 1.0, square));
        PetscCall(VecAXPY(dense_v[0], coeff[0], column));
        PetscCall(VecAXPY(dense_v[1], coeff[1], column));
    }
    PetscCall(VecMin(row_norm_sq, NULL, &min_row_sq));
    PetscCheck(min_row_sq > 0.5, PETSC_COMM_WORLD, PETSC_ERR_PLIB,
               "Complete Newton Jacobian contains an unexplained zero/weak row (min squared norm=%g).",
               (double)min_row_sq);
    PetscCall(CheckStoredDerivative(user, x, 2, 2, 2, 0, 2, 2, 2, 0,
                                     10.0, 1.0e-5, "interior BDF1 temporal diagonal"));
 
    PetscCall(SNESCreate(PETSC_COMM_WORLD, &snes));
    PetscCall(SNESSetDM(snes, user->fda));
    PetscCall(SNESSetFunction(snes, f0, MomentumNewtonKrylov_FormResidual, &ctx));
    PetscCall(MatCreateSNESMF(snes, &J));
    PetscCall(MatMFFDSetBase(J, x, f0));
    for (PetscInt which = 0; which < 2; ++which) {
        PetscCall(MatMult(J, v[which], mffd_v));
        PetscCall(VecWAXPY(error_vec, -1.0, dense_v[which], mffd_v));
        PetscCall(VecNorm(error_vec, NORM_2, &error));
        PetscCall(VecNorm(dense_v[which], NORM_2, &reference));
        PetscCheck(error <= 2.0e-5 * PetscMax(1.0, reference), PETSC_COMM_WORLD, PETSC_ERR_PLIB,
                   "Independent dense FD Jv differs from PETSc MFFD action %d: error=%g reference=%g.",
                   which, (double)error, (double)reference);
    }
 
    for (PetscInt which = 0; which < 2; ++which) {
        const PetscReal steps[3] = {1.0e-4, 1.0e-6, 1.0e-8};
        PetscReal best = PETSC_MAX_REAL;
        for (PetscInt s = 0; s < 3; ++s) {
            PetscCall(VecWAXPY(xp, steps[s], v[which], x));
            PetscCall(MomentumNewtonKrylov_FormResidual(NULL, xp, fp, &ctx));
            PetscCall(VecWAXPY(column, -1.0, f0, fp));
            PetscCall(VecScale(column, 1.0 / steps[s]));
            PetscCall(VecAXPY(column, -1.0, dense_v[which]));
            PetscCall(VecNorm(column, NORM_2, &error));
            best = PetscMin(best, error);
        }
        PetscCall(VecNorm(dense_v[which], NORM_2, &reference));
        PetscCheck(best <= 2.0e-5 * PetscMax(1.0, reference), PETSC_COMM_WORLD, PETSC_ERR_PLIB,
                   "Direct directional differences show no accuracy plateau for vector %d (best=%g).",
                   which, (double)best);
    }
 
    PetscCall(MatDestroy(&J)); PetscCall(SNESDestroy(&snes));
    PetscCall(VecDestroy(&error_vec)); PetscCall(VecDestroy(&mffd_v));
    PetscCall(VecDestroy(&dense_v[1])); PetscCall(VecDestroy(&dense_v[0]));
    PetscCall(VecDestroy(&v[1])); PetscCall(VecDestroy(&v[0]));
    PetscCall(VecDestroy(&row_norm_sq)); PetscCall(VecDestroy(&square));
    PetscCall(VecDestroy(&column)); PetscCall(VecDestroy(&fp)); PetscCall(VecDestroy(&f0));
    PetscCall(VecDestroy(&xp)); PetscCall(VecDestroy(&x));
    PetscCall(BoundarySystem_Destroy(user));
    PetscCall(PicurvDestroyMinimalContexts(&simCtx, &user));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestPeriodicOperatorHasNoZeroRows()

static PetscErrorCode TestPeriodicOperatorHasNoZeroRows ( void  )

static

Audits every row of a complete operator containing periodic duplicates.

Definition at line 870 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    Vec x = NULL, xp = NULL, f0 = NULL, fp = NULL, column = NULL;
    Vec square = NULL, row_norm_sq = NULL;
    PetscInt n_global, lo, hi;
    PetscReal min_row_sq = 0.0;
    const PetscReal epsilon = 1.0e-7;
    MomentumNewtonKrylovContext ctx;
 
    PetscFunctionBeginUser;
    PetscCall(BuildMinimalWallOperatorFixture(&simCtx, &user, PETSC_TRUE));
    PetscCall(VecDuplicate(user->Ucont, &x)); PetscCall(VecSet(x, 0.0));
    PetscCall(VecDuplicate(x, &xp)); PetscCall(VecDuplicate(x, &f0));
    PetscCall(VecDuplicate(x, &fp)); PetscCall(VecDuplicate(x, &column));
    PetscCall(VecDuplicate(x, &square)); PetscCall(VecDuplicate(x, &row_norm_sq));
    PetscCall(VecZeroEntries(row_norm_sq));
    PetscCall(VecGetSize(x, &n_global)); PetscCall(VecGetOwnershipRange(x, &lo, &hi));
    ctx.user = user;
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f0, &ctx));
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f0, &ctx));
    for (PetscInt col = 0; col < n_global; ++col) {
        PetscCall(VecCopy(x, xp));
        if (col >= lo && col < hi) PetscCall(VecSetValue(xp, col, epsilon, ADD_VALUES));
        PetscCall(VecAssemblyBegin(xp)); PetscCall(VecAssemblyEnd(xp));
        PetscCall(MomentumNewtonKrylov_FormResidual(NULL, xp, fp, &ctx));
        PetscCall(VecWAXPY(column, -1.0, f0, fp)); PetscCall(VecScale(column, 1.0 / epsilon));
        PetscCall(VecPointwiseMult(square, column, column));
        PetscCall(VecAXPY(row_norm_sq, 1.0, square));
    }
    PetscCall(VecMin(row_norm_sq, NULL, &min_row_sq));
    PetscCheck(min_row_sq > 0.5, PETSC_COMM_WORLD, PETSC_ERR_PLIB,
               "Periodic Newton Jacobian contains a zero/weak row (min squared norm=%g).",
               (double)min_row_sq);
    PetscCall(VecDestroy(&row_norm_sq)); PetscCall(VecDestroy(&square));
    PetscCall(VecDestroy(&column)); PetscCall(VecDestroy(&fp)); PetscCall(VecDestroy(&f0));
    PetscCall(VecDestroy(&xp)); PetscCall(VecDestroy(&x));
    PetscCall(BoundarySystem_Destroy(user));
    PetscCall(PicurvDestroyMinimalContexts(&simCtx, &user));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestSmallSolveAndRollback()

static PetscErrorCode TestSmallSolveAndRollback ( void  )

static

Exercises a converged solve, forced rollback, and per-call cleanup.

Definition at line 914 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    Vec entry = NULL, delta = NULL;
    PetscErrorCode solve_ierr;
    PetscReal norm = 0.0;
    const FieldId fields[] = {FIELD_ID_UCONT};
    char summary_path[PETSC_MAX_PATH_LEN];
    char history_path[PETSC_MAX_PATH_LEN];
    char linear_history_path[PETSC_MAX_PATH_LEN];
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(fixed_wall_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_snes_rtol", "1e-4"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_snes_max_it", "20"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_ksp_rtol", "1e-6"));
    simCtx->mom_nk_monitor_history = PETSC_TRUE;
    PetscCall(MomentumSolver_NewtonKrylov(user, NULL, NULL));
    PetscCall(PicurvAssertBool(simCtx->mom_last_converged, "small Newton solve must converge"));
    PetscCall(PicurvAssertBool((PetscBool)(user->Rhs == NULL), "successful solve must release Rhs"));
    PetscCall(PetscSNPrintf(summary_path, sizeof(summary_path),
                            "%s/Momentum_Solver_Newton_Krylov_Summary_Block_0.log", simCtx->log_dir));
    PetscCall(PetscSNPrintf(history_path, sizeof(history_path),
                            "%s/Momentum_Solver_Newton_Krylov_History_Block_0.log", simCtx->log_dir));
    PetscCall(PetscSNPrintf(linear_history_path, sizeof(linear_history_path),
                            "%s/Momentum_Solver_Newton_Krylov_Linear_History_Block_0.log",
                            simCtx->log_dir));
    PetscCall(AssertNewtonLog(summary_path, 1, "solver: Newton Krylov", "state: committed"));
    PetscCall(AssertNewtonLog(history_path, -2, "newton: 0", "nonlinear_norm:"));
    PetscCall(AssertNewtonLog(linear_history_path, -2, "krylov: 0", "requested_rtol:"));
 
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    tmpdir[0] = '\0';
    PetscCall(BuildNewtonFixture(fixed_wall_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecSet(user->Ucont, 0.2));
    PetscCall(SynchronizePeriodicStaggeredFields(user, 1, fields));
    PetscCall(ApplyBoundaryConditions(user));
    PetscCall(VecDuplicate(user->Ucont, &entry));
    PetscCall(VecDuplicate(user->Ucont, &delta));
    PetscCall(VecCopy(user->Ucont, entry));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_snes_max_it", "0"));
    PetscCall(PetscPushErrorHandler(PetscIgnoreErrorHandler, NULL));
    solve_ierr = MomentumSolver_NewtonKrylov(user, NULL, NULL);
    PetscCall(PetscPopErrorHandler());
    PetscCall(PicurvAssertIntEqual(PETSC_ERR_CONV_FAILED, solve_ierr,
                                   "forced nonconvergence must report PETSC_ERR_CONV_FAILED"));
    PetscCall(VecWAXPY(delta, -1.0, entry, user->Ucont));
    PetscCall(VecNorm(delta, NORM_INFINITY, &norm));
    PetscCall(PicurvAssertRealNear(0.0, norm, 1.0e-12,
                                   "failed Newton solve must restore the canonical entry state"));
    PetscCall(PicurvAssertBool((PetscBool)(user->Rhs == NULL), "failed solve must release Rhs"));
    PetscCall(PetscSNPrintf(summary_path, sizeof(summary_path),
                            "%s/Momentum_Solver_Newton_Krylov_Summary_Block_0.log", simCtx->log_dir));
    PetscCall(AssertNewtonLog(summary_path, 1, "reason_code: -", "state: rolled_back"));
 
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_snes_rtol"));
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_snes_max_it"));
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_ksp_rtol"));
    PetscCall(VecDestroy(&delta));
    PetscCall(VecDestroy(&entry));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestZeroIterationStructuredLogging()

static PetscErrorCode TestZeroIterationStructuredLogging ( void  )

static

Verifies the six-wall zero-velocity case logs zero Newton/Krylov work.

Definition at line 981 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    char summary_path[PETSC_MAX_PATH_LEN];
    const FieldId fields[] = {FIELD_ID_UCONT};
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(fixed_wall_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecZeroEntries(user->Ucont));
    PetscCall(VecZeroEntries(user->Ucont_o));
    PetscCall(VecZeroEntries(user->Ucont_rm1));
    PetscCall(SynchronizePeriodicStaggeredFields(user, 1, fields));
    PetscCall(ApplyBoundaryConditions(user));
    PetscCall(MomentumSolver_NewtonKrylov(user, NULL, NULL));
    PetscCall(PetscSNPrintf(summary_path, sizeof(summary_path),
                            "%s/Momentum_Solver_Newton_Krylov_Summary_Block_0.log", simCtx->log_dir));
    PetscCall(AssertNewtonLog(summary_path, 1, "newton: 0 | evals: 1 | krylov: 0",
                             "final: 0.0000000000000000e+00 | state: committed"));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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CheckFlatChannelStartup()

static PetscErrorCode CheckFlatChannelStartup ( PetscBool  use_point_block )

static

Exercises the straight-duct BDF1 startup path used by flat_channel.

The conservation outlet consumes lUcat during its first boundary pass. This test deliberately evaluates the callback at the initialized state before installing SNES, then completes the first nonlinear solve with each shipped preconditioner. It catches a missing Ucont -> Ucat -> lUcat seed as a non-finite initial residual rather than hiding it behind later MFFD work.

Definition at line 1014 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    Vec x = NULL, f = NULL;
    PetscReal initial_norm = 0.0;
    MomentumNewtonKrylovContext ctx = {0};
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(NULL, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs));
    PetscCall(VecDuplicate(user->Ucont, &x));
    PetscCall(VecDuplicate(user->Ucont, &f));
    PetscCall(VecCopy(user->Ucont, x));
    ctx.user = user;
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f, &ctx));
    PetscCall(VecNorm(f, NORM_2, &initial_norm));
    PetscCheck(!PetscIsInfOrNanReal(initial_norm), PETSC_COMM_WORLD, PETSC_ERR_FP,
               "flat-channel BDF1 initial residual is non-finite (%g) with %s.",
               (double)initial_norm,
               use_point_block ? "frozen-momentum point-block" : "PCNONE");
    PetscCall(VecDestroy(&f));
    PetscCall(VecDestroy(&x));
    PetscCall(VecDestroy(&user->Rhs));
 
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_snes_rtol", "1e-4"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_snes_max_it", "20"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_ksp_rtol", "1e-6"));
    if (use_point_block) {
        PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_model",
                                       "frozen_momentum_jacobian"));
        PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_structure",
                                       "point_block"));
    }
    PetscCall(MomentumSolver_NewtonKrylov(user, NULL, NULL));
    PetscCall(PicurvAssertBool(simCtx->mom_last_converged,
                               "flat-channel BDF1 Newton solve must converge"));
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_preconditioner_model"));
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_preconditioner_structure"));
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_snes_rtol"));
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_snes_max_it"));
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_ksp_rtol"));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestFlatChannelStartup()

static PetscErrorCode TestFlatChannelStartup ( void  )

static

Guards flat_channel's initial BDF1 residual and both shipped NK PCs.

Definition at line 1062 of file test_momentum_newton_krylov.c.

{
    PetscFunctionBeginUser;
    PetscCall(CheckFlatChannelStartup(PETSC_FALSE));
    PetscCall(CheckFlatChannelStartup(PETSC_TRUE));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestRestartAndContinuationSolve()

static PetscErrorCode TestRestartAndContinuationSolve ( void  )

static

Verifies restarted Newton solves with both supported preconditioners.

Definition at line 1071 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    const FieldId fields[] = {FIELD_ID_UCONT};
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(fixed_wall_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecSet(user->Ucont, 0.2));
    PetscCall(VecZeroEntries(user->Ucont_o));
    PetscCall(VecZeroEntries(user->Ucont_rm1));
    PetscCall(SynchronizePeriodicStaggeredFields(user, 1, fields));
    PetscCall(ApplyBoundaryConditions(user));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_snes_rtol", "1e-4"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_snes_max_it", "20"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_ksp_rtol", "1e-6"));
 
    /* AdvanceSimulation() solves StartStep+1 first.  Use a nonzero checkpoint
     * state so that SNES takes a Newton/Krylov path rather than accepting a
     * trivial residual. */
    simCtx->StartStep = 7;
    simCtx->step = simCtx->StartStep + 1;
    PetscCall(MomentumSolver_NewtonKrylov(user, NULL, NULL));
    PetscCall(PicurvAssertBool(simCtx->mom_last_converged,
                               "PCNONE Newton Krylov checkpoint restart must converge"));
 
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    tmpdir[0] = '\0';
    PetscCall(BuildNewtonFixture(fixed_wall_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecSet(user->Ucont, 0.2));
    PetscCall(VecZeroEntries(user->Ucont_o));
    PetscCall(VecZeroEntries(user->Ucont_rm1));
    PetscCall(SynchronizePeriodicStaggeredFields(user, 1, fields));
    PetscCall(ApplyBoundaryConditions(user));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_model",
                                   "frozen_momentum_jacobian"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_structure", "point_block"));
 
    simCtx->continueMode = PETSC_TRUE;
    simCtx->StartStep = 8;
    simCtx->step = simCtx->StartStep + 1;
    PetscCall(MomentumSolver_NewtonKrylov(user, NULL, NULL));
    PetscCall(PicurvAssertBool(simCtx->mom_last_converged,
                               "frozen-momentum Newton Krylov --continue solve must converge"));
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_preconditioner_model"));
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_preconditioner_structure"));
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_snes_rtol"));
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_snes_max_it"));
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_ksp_rtol"));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestUnsupportedConfigurationFailsBeforeAllocation()

static PetscErrorCode TestUnsupportedConfigurationFailsBeforeAllocation ( void  )

static

Confirms unsupported features fail before workspace allocation.

Definition at line 1126 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    PetscErrorCode solve_ierr;
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(fixed_wall_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    {
        /* The gradient (Clark) model and wall functions are no longer rejected: both
           reach the solver through the shared residual, which this solver already
           evaluates. Neither is verified under Newton-Krylov yet, so neither is
           claimed as supported; they are simply no longer refused. */
        PetscInt *unsupported_flags[] = {
            &simCtx->immersed, &simCtx->movefsi, &simCtx->rotatefsi,
            &simCtx->moveframe, &simCtx->rotateframe,
            &simCtx->TwoD
        };
        for (size_t flag = 0; flag < sizeof(unsupported_flags) / sizeof(unsupported_flags[0]); ++flag) {
            *unsupported_flags[flag] = 1;
            PetscCall(PetscPushErrorHandler(PetscIgnoreErrorHandler, NULL));
            solve_ierr = MomentumSolver_NewtonKrylov(user, NULL, NULL);
            PetscCall(PetscPopErrorHandler());
            PetscCall(PicurvAssertBool((PetscBool)(solve_ierr != PETSC_SUCCESS),
                                       "unsupported Newton feature flag must fail"));
            PetscCall(PicurvAssertBool((PetscBool)(user->Rhs == NULL),
                                       "feature validation must precede workspace allocation"));
            *unsupported_flags[flag] = 0;
        }
    }
    simCtx->block_number = 2;
    PetscCall(PetscPushErrorHandler(PetscIgnoreErrorHandler, NULL));
    solve_ierr = MomentumSolver_NewtonKrylov(user, NULL, NULL);
    PetscCall(PetscPopErrorHandler());
    PetscCall(PicurvAssertBool((PetscBool)(solve_ierr != PETSC_SUCCESS), "multiblock must fail"));
    simCtx->block_number = 1;
    /* Solid cells are no longer a rejection. The residual already zeroes their rows, so
       they carry no unknown; the solver now gives them the same identity treatment as
       any other row without one, instead of refusing the whole solve. A fully masked
       domain is the degenerate case of that: every row is an identity row and the
       system is trivially consistent. This checks the structural contract only; the
       masked path has no physics verification because nothing in the tree currently
       populates Nvert with a nonzero value. */
    PetscCall(VecSet(user->Nvert, 1.0));
    PetscCall(VecSet(user->lNvert, 1.0));
    solve_ierr = MomentumSolver_NewtonKrylov(user, NULL, NULL);
    PetscCall(PicurvAssertBool((PetscBool)(solve_ierr == PETSC_SUCCESS),
                               "a fully masked domain must resolve to identity rows, not a rejection"));
    PetscCall(VecSet(user->Nvert, 0.0));
    PetscCall(VecSet(user->lNvert, 0.0));
    PetscCall(VecSet(user->Nvert, 0.0));
    user->boundary_faces[BC_FACE_NEG_X].mathematical_type = PERIODIC;
    user->boundary_faces[BC_FACE_NEG_X].handler_type = BC_HANDLER_PERIODIC_DRIVEN_CONSTANT_FLUX;
    PetscCall(PetscPushErrorHandler(PetscIgnoreErrorHandler, NULL));
    solve_ierr = MomentumSolver_NewtonKrylov(user, NULL, NULL);
    PetscCall(PetscPopErrorHandler());
    PetscCall(PicurvAssertBool((PetscBool)(solve_ierr != PETSC_SUCCESS),
                               "driven constant-flux controller must fail"));
    PetscCall(PicurvAssertBool((PetscBool)(user->Rhs == NULL),
                               "all validation failures must precede workspace allocation"));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestPostAllocationFailureCleanup()

static PetscErrorCode TestPostAllocationFailureCleanup ( void  )

static

Verifies cleanup and rollback after an options failure following asset creation.

Definition at line 1192 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    Vec entry = NULL, delta = NULL;
    PetscErrorCode solve_ierr;
    PetscReal norm = 0.0;
    const FieldId fields[] = {FIELD_ID_UCONT};
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(fixed_wall_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecSet(user->Ucont, 0.2));
    PetscCall(SynchronizePeriodicStaggeredFields(user, 1, fields));
    PetscCall(ApplyBoundaryConditions(user));
    PetscCall(VecDuplicate(user->Ucont, &entry)); PetscCall(VecCopy(user->Ucont, entry));
    PetscCall(VecDuplicate(user->Ucont, &delta));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_pc_type", "jacobi"));
    PetscCall(PetscPushErrorHandler(PetscIgnoreErrorHandler, NULL));
    solve_ierr = MomentumSolver_NewtonKrylov(user, NULL, NULL);
    PetscCall(PetscPopErrorHandler());
    PetscCall(PetscOptionsClearValue(NULL, "-mom_nk_pc_type"));
    PetscCall(PicurvAssertIntEqual(PETSC_ERR_SUP, solve_ierr,
                                   "non-PCNONE option must fail after setup"));
    PetscCall(PicurvAssertBool((PetscBool)(user->Rhs == NULL),
                               "post-allocation failure must destroy Rhs"));
    PetscCall(VecWAXPY(delta, -1.0, entry, user->Ucont));
    PetscCall(VecNorm(delta, NORM_INFINITY, &norm));
    PetscCall(PicurvAssertRealNear(0.0, norm, 1.0e-12,
                                   "post-allocation failure must restore canonical entry"));
    PetscCall(VecDestroy(&delta)); PetscCall(VecDestroy(&entry));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestLinearizationConfigParsing()

static PetscErrorCode TestLinearizationConfigParsing ( void  )

static

Verifies finalized application-owned linearization option parsing.

Definition at line 1228 of file test_momentum_newton_krylov.c.

{
    MomentumNewtonJacobian jacobian = {0};
    MomentumPreconditionerDescription description = {0};
    PetscErrorCode config_ierr;
    const char *option_names[] = {
        "-mom_nk_jacobian_type",
        "-mom_nk_jacobian_fd_mode",
        "-mom_nk_preconditioner_model",
        "-mom_nk_preconditioner_structure"
    };
 
    PetscFunctionBeginUser;
    for (size_t n = 0; n < sizeof(option_names) / sizeof(option_names[0]); ++n)
        PetscCall(PetscOptionsClearValue(NULL, option_names[n]));
 
    PetscCall(MomentumNewtonKrylov_ReadLinearizationConfig(&jacobian, &description));
    PetscCall(PicurvAssertIntEqual(MOM_NK_JACOBIAN_FINITE_DIFFERENCE, jacobian.type,
                                   "default Jacobian type must be finite difference"));
    PetscCall(PicurvAssertIntEqual(MOM_NK_FD_MODE_MATRIX_FREE,
                                   jacobian.finite_difference_mode,
                                   "default finite-difference mode must be matrix free"));
    PetscCall(PicurvAssertIntEqual(MOM_NK_PC_MODEL_NONE, description.model,
                                   "default preconditioner model must be none"));
    PetscCall(PicurvAssertIntEqual(MOM_NK_PC_STRUCTURE_NONE, description.structure,
                                   "default preconditioner structure must be none"));
 
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_jacobian_type", "finite_difference"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_jacobian_fd_mode", "matrix_free"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_model", "none"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_structure", "none"));
    PetscCall(MomentumNewtonKrylov_ReadLinearizationConfig(&jacobian, &description));
    PetscCall(PicurvAssertIntEqual(MOM_NK_JACOBIAN_FINITE_DIFFERENCE, jacobian.type,
                                   "explicit baseline Jacobian type must parse"));
    PetscCall(PicurvAssertIntEqual(MOM_NK_FD_MODE_MATRIX_FREE,
                                   jacobian.finite_difference_mode,
                                   "explicit baseline finite-difference mode must parse"));
    PetscCall(PicurvAssertIntEqual(MOM_NK_PC_MODEL_NONE, description.model,
                                   "explicit baseline preconditioner model must parse"));
    PetscCall(PicurvAssertIntEqual(MOM_NK_PC_STRUCTURE_NONE, description.structure,
                                   "explicit baseline preconditioner structure must parse"));
 
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_model",
                                  "frozen_momentum_jacobian"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_structure", "point_block"));
    PetscCall(MomentumNewtonKrylov_ReadLinearizationConfig(&jacobian, &description));
    PetscCall(PicurvAssertIntEqual(MOM_NK_JACOBIAN_FINITE_DIFFERENCE, jacobian.type,
                                   "explicit Jacobian type must parse"));
    PetscCall(PicurvAssertIntEqual(MOM_NK_FD_MODE_MATRIX_FREE,
                                   jacobian.finite_difference_mode,
                                   "explicit finite-difference mode must parse"));
    PetscCall(PicurvAssertIntEqual(MOM_NK_PC_MODEL_FROZEN_MOMENTUM_JACOBIAN,
                                   description.model, "frozen model must parse"));
    PetscCall(PicurvAssertIntEqual(MOM_NK_PC_STRUCTURE_POINT_BLOCK,
                                   description.structure, "point-block structure must parse"));
 
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_jacobian_type", "analytic"));
    PetscCall(PetscPushErrorHandler(PetscIgnoreErrorHandler, NULL));
    config_ierr = MomentumNewtonKrylov_ReadLinearizationConfig(&jacobian, &description);
    PetscCall(PetscPopErrorHandler());
    PetscCall(PicurvAssertIntEqual(PETSC_ERR_ARG_WRONG, config_ierr,
                                   "unsupported Jacobian type must fail"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_jacobian_type", "finite_difference"));
 
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_jacobian_fd_mode", "colored_sparse"));
    PetscCall(PetscPushErrorHandler(PetscIgnoreErrorHandler, NULL));
    config_ierr = MomentumNewtonKrylov_ReadLinearizationConfig(&jacobian, &description);
    PetscCall(PetscPopErrorHandler());
    PetscCall(PicurvAssertIntEqual(PETSC_ERR_ARG_WRONG, config_ierr,
                                   "unsupported finite-difference mode must fail"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_jacobian_fd_mode", "matrix_free"));
 
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_structure", "none"));
    PetscCall(PetscPushErrorHandler(PetscIgnoreErrorHandler, NULL));
    config_ierr = MomentumNewtonKrylov_ReadLinearizationConfig(&jacobian, &description);
    PetscCall(PetscPopErrorHandler());
    PetscCall(PicurvAssertIntEqual(PETSC_ERR_SUP, config_ierr,
                                   "frozen model without point block must fail"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_model", "none"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_structure", "point_block"));
    PetscCall(PetscPushErrorHandler(PetscIgnoreErrorHandler, NULL));
    config_ierr = MomentumNewtonKrylov_ReadLinearizationConfig(&jacobian, &description);
    PetscCall(PetscPopErrorHandler());
    PetscCall(PicurvAssertIntEqual(PETSC_ERR_SUP, config_ierr,
                                   "none model with point block must fail"));
 
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_model", "diagonal"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_structure", "none"));
    PetscCall(PetscPushErrorHandler(PetscIgnoreErrorHandler, NULL));
    config_ierr = MomentumNewtonKrylov_ReadLinearizationConfig(&jacobian, &description);
    PetscCall(PetscPopErrorHandler());
    PetscCall(PicurvAssertIntEqual(PETSC_ERR_ARG_WRONG, config_ierr,
                                   "unsupported preconditioner model must fail"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_model",
                                  "frozen_momentum_jacobian"));
    PetscCall(PetscOptionsSetValue(NULL, "-mom_nk_preconditioner_structure", "line"));
    PetscCall(PetscPushErrorHandler(PetscIgnoreErrorHandler, NULL));
    config_ierr = MomentumNewtonKrylov_ReadLinearizationConfig(&jacobian, &description);
    PetscCall(PetscPopErrorHandler());
    PetscCall(PicurvAssertIntEqual(PETSC_ERR_ARG_WRONG, config_ierr,
                                   "unsupported preconditioner structure must fail"));
 
    for (size_t n = 0; n < sizeof(option_names) / sizeof(option_names[0]); ++n)
        PetscCall(PetscOptionsClearValue(NULL, option_names[n]));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestStencilToGlobal()

static PetscErrorCode TestStencilToGlobal ( UserCtx *  user, MatStencil  stencil, PetscInt *  global_index  )

static

Converts an in-domain or periodic-ghost DMDA stencil to PETSc ordering.

Definition at line 1336 of file test_momentum_newton_krylov.c.

{
    ISLocalToGlobalMapping local_to_global = NULL;
    PetscInt ghost_starts[3], ghost_sizes[3], local_index;
 
    PetscFunctionBeginUser;
    PetscCall(DMDAGetGhostCorners(user->fda,
                                  &ghost_starts[0], &ghost_starts[1], &ghost_starts[2],
                                  &ghost_sizes[0], &ghost_sizes[1], &ghost_sizes[2]));
    PetscCall(PicurvAssertBool((PetscBool)(
        stencil.i >= ghost_starts[0] && stencil.i < ghost_starts[0] + ghost_sizes[0] &&
        stencil.j >= ghost_starts[1] && stencil.j < ghost_starts[1] + ghost_sizes[1] &&
        stencil.k >= ghost_starts[2] && stencil.k < ghost_starts[2] + ghost_sizes[2]),
        "test stencil must lie in the local DMDA ghost region"));
    local_index = stencil.c + 3 * (
        (stencil.i - ghost_starts[0]) + ghost_sizes[0] * (
        (stencil.j - ghost_starts[1]) + ghost_sizes[1] *
        (stencil.k - ghost_starts[2])));
    PetscCall(DMGetLocalToGlobalMapping(user->fda, &local_to_global));
    PetscCall(ISLocalToGlobalMappingApply(local_to_global, 1, &local_index,
                                          global_index));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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PreconditionerMatrixStencilEntry()

static PetscErrorCode PreconditionerMatrixStencilEntry ( UserCtx *  user, Mat  preconditioning_matrix, MatStencil  row, MatStencil  col, PetscScalar *  value  )

static

Reads one DMDA-stencil matrix entry through collective basis vectors.

Definition at line 1362 of file test_momentum_newton_krylov.c.

{
    Vec column_basis = NULL, row_basis = NULL, product = NULL;
    AO ao = NULL;
    PetscInt mx, my, row_index, col_index;
    PetscFunctionBeginUser;
    PetscCall(DMDAGetInfo(user->fda, NULL, &mx, &my, NULL, NULL, NULL, NULL,
                          NULL, NULL, NULL, NULL, NULL, NULL));
    row_index = row.c + 3 * (row.i + mx * (row.j + my * row.k));
    col_index = col.c + 3 * (col.i + mx * (col.j + my * col.k));
    PetscCall(DMDAGetAO(user->fda, &ao));
    PetscCall(AOApplicationToPetsc(ao, 1, &row_index));
    PetscCall(AOApplicationToPetsc(ao, 1, &col_index));
    PetscCall(DMCreateGlobalVector(user->fda, &column_basis));
    PetscCall(DMCreateGlobalVector(user->fda, &row_basis));
    PetscCall(DMCreateGlobalVector(user->fda, &product));
    PetscCall(VecSet(column_basis, 0.0)); PetscCall(VecSet(row_basis, 0.0));
    PetscCall(VecSetValue(column_basis, col_index, 1.0, INSERT_VALUES));
    PetscCall(VecSetValue(row_basis, row_index, 1.0, INSERT_VALUES));
    PetscCall(VecAssemblyBegin(column_basis)); PetscCall(VecAssemblyEnd(column_basis));
    PetscCall(VecAssemblyBegin(row_basis)); PetscCall(VecAssemblyEnd(row_basis));
    PetscCall(MatMult(preconditioning_matrix, column_basis, product));
    PetscCall(VecDot(row_basis, product, value));
    PetscCall(VecDestroy(&product)); PetscCall(VecDestroy(&row_basis));
    PetscCall(VecDestroy(&column_basis));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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AssertExactPointBlockMatrixAllocation()

static PetscErrorCode AssertExactPointBlockMatrixAllocation ( UserCtx *  user, Mat  matrix, PetscBool  require_offrank_periodic  )

static

Verifies the exact AIJ layout and preallocation derived from row classes.

Definition at line 1393 of file test_momentum_newton_krylov.c.

{
    DMDALocalInfo info;
    MatInfo matrix_info;
    PetscMPIInt comm_size = 1;
    PetscInt matrix_rows, matrix_cols, local_rows, local_cols;
    PetscInt vector_size, vector_local_size, block_size;
    PetscInt ownership_start, ownership_end;
    PetscInt expected_local = 0, expected_global = 0;
    PetscInt offrank_periodic_local = 0, offrank_periodic_global = 0;
    PetscBool is_seq_aij = PETSC_FALSE, is_mpi_aij = PETSC_FALSE;
 
    PetscFunctionBeginUser;
    PetscCall(DMDAGetLocalInfo(user->fda, &info));
    PetscCall(MatGetSize(matrix, &matrix_rows, &matrix_cols));
    PetscCall(MatGetLocalSize(matrix, &local_rows, &local_cols));
    PetscCall(VecGetSize(user->Ucont, &vector_size));
    PetscCall(VecGetLocalSize(user->Ucont, &vector_local_size));
    PetscCall(VecGetOwnershipRange(user->Ucont, &ownership_start, &ownership_end));
    PetscCall(MatGetBlockSize(matrix, &block_size));
    PetscCall(PicurvAssertIntEqual(vector_size, matrix_rows,
                                   "point-block global row dimension"));
    PetscCall(PicurvAssertIntEqual(vector_size, matrix_cols,
                                   "point-block global column dimension"));
    PetscCall(PicurvAssertIntEqual(vector_local_size, local_rows,
                                   "point-block local row dimension"));
    PetscCall(PicurvAssertIntEqual(vector_local_size, local_cols,
                                   "point-block local column dimension"));
    PetscCall(PicurvAssertIntEqual(3, block_size, "point-block logical block size"));
    PetscCallMPI(MPI_Comm_size(PetscObjectComm((PetscObject)matrix), &comm_size));
    PetscCall(PetscObjectTypeCompare((PetscObject)matrix, MATSEQAIJ, &is_seq_aij));
    PetscCall(PetscObjectTypeCompare((PetscObject)matrix, MATMPIAIJ, &is_mpi_aij));
    PetscCall(PicurvAssertBool(
        comm_size == 1 ? is_seq_aij : is_mpi_aij,
        "point-block matrix must use the expected AIJ implementation"));
 
    for (PetscInt k = info.zs; k < info.zs + info.zm; ++k) {
        for (PetscInt j = info.ys; j < info.ys + info.ym; ++j) {
            for (PetscInt i = info.xs; i < info.xs + info.xm; ++i) {
                for (PetscInt component = 0; component < 3; ++component) {
                    PetscInt ri, rj, rk;
                    MomentumRowType type = ClassifyMomentumRow(
                        user, i, j, k, component, &ri, &rj, &rk);
                    expected_local += type == MOM_ROW_PHYSICAL ? 3 :
                                      type == MOM_ROW_PERIODIC_DUPLICATE ? 2 : 1;
                    if (type == MOM_ROW_PERIODIC_DUPLICATE) {
                        PetscInt representative;
                        PetscCall(TestStencilToGlobal(user,
                            (MatStencil){.i = ri, .j = rj, .k = rk, .c = component},
                            &representative));
                        if (representative < ownership_start || representative >= ownership_end)
                            ++offrank_periodic_local;
                    }
                }
            }
        }
    }
    PetscCallMPI(MPI_Allreduce(&expected_local, &expected_global, 1, MPIU_INT,
                               MPI_SUM, PetscObjectComm((PetscObject)matrix)));
    PetscCallMPI(MPI_Allreduce(&offrank_periodic_local, &offrank_periodic_global,
                               1, MPIU_INT, MPI_SUM,
                               PetscObjectComm((PetscObject)matrix)));
    PetscCall(MatGetInfo(matrix, MAT_GLOBAL_SUM, &matrix_info));
    PetscCall(PicurvAssertRealNear((PetscReal)expected_global,
        (PetscReal)matrix_info.nz_allocated, 0.0,
        "point-block matrix must allocate exactly the classified scalar pattern"));
    PetscCall(PicurvAssertRealNear((PetscReal)expected_global,
        (PetscReal)matrix_info.nz_used, 0.0,
        "point-block assembly must insert every classified structural entry"));
    PetscCall(PicurvAssertRealNear(0.0, (PetscReal)matrix_info.mallocs, 0.0,
        "point-block insertion must not reallocate matrix storage"));
    if (require_offrank_periodic && comm_size > 1)
        PetscCall(PicurvAssertBool((PetscBool)(offrank_periodic_global > 0),
            "MPI periodic fixture must exercise off-rank preallocation"));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestPointBlockPreconditionerEngine()

static PetscErrorCode TestPointBlockPreconditionerEngine ( void  )

static

Verifies the point-block model and common preconditioning-engine wiring.

Returns

PETSc error code.

Definition at line 1475 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    MomentumNewtonKrylovContext ctx = {0};
    MomentumPreconditionerDescription description = {
        MOM_NK_PC_MODEL_FROZEN_MOMENTUM_JACOBIAN,
        MOM_NK_PC_STRUCTURE_POINT_BLOCK,
        0,
        0
    };
    MomentumPreconditionerEngine engine = {0};
    Mat preconditioning_matrix = NULL;
    Vec x = NULL, f = NULL;
    PetscInt block_size = 0, velocity_dof = 0;
    PetscReal matrix_norm = 0.0, reassembled_norm = 0.0, difference_norm = 0.0;
    MatStencil conditioned = {.i = 0, .j = 2, .k = 3, .c = 0};
    MatStencil homogeneous = {.i = 0, .j = 2, .k = 3, .c = 1};
    Mat saved_matrix = NULL, mffd = NULL;
    SNES snes = NULL;
    Vec direction = NULL, product = NULL, px = NULL;
    PetscReal px_norm = 0.0;
    KSP ksp = NULL;
    PC pc = NULL;
    Vec pc_rhs = NULL, pc_solution = NULL;
    MatInfo initial_allocation_info, repeated_allocation_info;
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(fixed_wall_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs));
    PetscCall(VecDuplicate(user->Ucont, &x));
    PetscCall(VecDuplicate(user->Ucont, &f));
    PetscCall(VecCopy(user->Ucont, x));
    PetscCall(VecStrideSet(x, 0, 0.2));
    PetscCall(VecStrideSet(x, 1, 0.3));
    PetscCall(VecStrideSet(x, 2, 0.4));
    ctx.user = user;
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f, &ctx));
    PetscCall(MomentumPreconditionerEngine_Create(user, NULL, &description, &engine));
    preconditioning_matrix = engine.preconditioning_matrix;
    PetscCall(PicurvAssertBool((PetscBool)(engine.model_ops == &frozen_momentum_point_block_ops),
                               "engine must select the frozen-momentum model callbacks"));
    PetscCall(PicurvAssertBool(engine.owns_preconditioning_matrix,
                               "point-block engine must own its separate matrix"));
    PetscCall(PicurvAssertBool((PetscBool)!engine.aliases_jacobian_operator,
                               "point-block matrix must not alias the Jacobian operator"));
    PetscCall(MomentumPreconditionerEngine_Assemble(&engine, user, x));
    PetscCall(AssertExactPointBlockMatrixAllocation(
        user, preconditioning_matrix, PETSC_FALSE));
    PetscCall(MatGetInfo(preconditioning_matrix, MAT_GLOBAL_SUM,
                         &initial_allocation_info));
    PetscCall(MatNorm(preconditioning_matrix, NORM_FROBENIUS, &matrix_norm));
    PetscCall(PicurvAssertBool((PetscBool)(matrix_norm > 0.0),
                               "model callback and common rows must insert matrix entries"));
    PetscCall(MatGetBlockSize(preconditioning_matrix, &block_size));
    PetscCall(PicurvAssertIntEqual(3, block_size, "point-block matrix block size"));
    PetscCall(DMDAGetInfo(user->fda, NULL, NULL, NULL, NULL, NULL, NULL, NULL,
                           &velocity_dof, NULL, NULL, NULL, NULL, NULL));
    PetscCall(PicurvAssertIntEqual(3, velocity_dof, "Newton velocity DMDA dof"));
 
    /* The coefficient formulas define columns by the differentiated Ucont
       component. Check an asymmetric pair so a row/column transpose cannot pass. */
    {
        const MatStencil row_i = {.i = 2, .j = 2, .k = 2, .c = 0};
        const MatStencil row_j = {.i = 2, .j = 2, .k = 2, .c = 1};
        MatStencil col_i = row_i, col_j = row_j;
        PetscReal ***aj = NULL;
        PetscReal AJip, AJjp;
        PetscScalar dFi_dUj = 0.0, dFj_dUi = 0.0;
 
        PetscCall(DMDAVecGetArrayRead(user->da, user->lAj, &aj));
        AJip = 0.5 * (aj[2][2][2] + aj[2][2][3]);
        AJjp = 0.5 * (aj[2][2][2] + aj[2][3][2]);
        PetscCall(DMDAVecRestoreArrayRead(user->da, user->lAj, &aj));
        PetscCall(PreconditionerMatrixStencilEntry(user, preconditioning_matrix,
            row_i, col_j, &dFi_dUj));
        PetscCall(PreconditionerMatrixStencilEntry(user, preconditioning_matrix,
            row_j, col_i, &dFj_dUi));
        PetscCall(PicurvAssertRealNear(0.5 * AJjp * 0.2,
            PetscRealPart(dFi_dUj), 1e-12,
            "row i, column j must differentiate with respect to U-j"));
        PetscCall(PicurvAssertRealNear(0.5 * AJip * 0.3,
            PetscRealPart(dFj_dUi), 1e-12,
            "row j, column i must differentiate with respect to U-i"));
    }
 
    /* Both fixed categories are exact identity rows, with no same-cell coupling. */
    for (PetscInt cc = 0; cc < 3; ++cc) {
        MatStencil col = conditioned; col.c = cc;
        PetscScalar conditioned_value = 0.0, homogeneous_value = 0.0;
        PetscCall(PreconditionerMatrixStencilEntry(user, preconditioning_matrix,
            conditioned, col, &conditioned_value));
        col = homogeneous; col.c = cc;
        PetscCall(PreconditionerMatrixStencilEntry(user, preconditioning_matrix,
            homogeneous, col, &homogeneous_value));
        PetscCall(PicurvAssertRealNear(cc == conditioned.c ? 1.0 : 0.0,
            PetscRealPart(conditioned_value), 1e-14, "conditioned row must be exact identity"));
        PetscCall(PicurvAssertRealNear(cc == homogeneous.c ? 1.0 : 0.0,
            PetscRealPart(homogeneous_value), 1e-14, "homogeneous row must be exact identity"));
    }
 
    /* A real residual and MFFD product cannot change subsequent assembly. */
    PetscCall(MatDuplicate(preconditioning_matrix, MAT_COPY_VALUES, &saved_matrix));
    PetscCall(SNESCreate(PETSC_COMM_WORLD, &snes));
    PetscCall(SNESSetDM(snes, user->fda));
    PetscCall(SNESSetFunction(snes, f, MomentumNewtonKrylov_FormResidual, &ctx));
    PetscCall(MatCreateSNESMF(snes, &mffd));
    PetscCall(VecDuplicate(x, &direction)); PetscCall(VecDuplicate(x, &product));
    PetscCall(VecSet(direction, 0.375));
    PetscCall(MomentumNewtonKrylov_FormResidual(snes, x, f, &ctx));
    PetscCall(MatMFFDSetBase(mffd, x, f));
    PetscCall(MatMult(mffd, direction, product));
    PetscCall(MomentumPreconditionerEngine_Assemble(&engine, user, x));
    PetscCall(MatAXPY(saved_matrix, -1.0, preconditioning_matrix, SAME_NONZERO_PATTERN));
    PetscCall(MatNorm(saved_matrix, NORM_FROBENIUS, &difference_norm));
    PetscCall(PicurvAssertRealNear(0.0, difference_norm, 1e-12,
        "assembly must be unchanged after residual and MFFD products"));
    PetscCall(VecDestroy(&product)); PetscCall(VecDestroy(&direction));
    PetscCall(MatDestroy(&mffd)); PetscCall(SNESDestroy(&snes)); PetscCall(MatDestroy(&saved_matrix));
 
    PetscCall(VecDuplicate(x, &px));
    PetscCall(MatMult(preconditioning_matrix, x, px));
    PetscCall(VecNorm(px, NORM_2, &px_norm));
    PetscCall(PicurvAssertBool((PetscBool)(!PetscIsInfOrNanReal(px_norm) && px_norm > 0.0),
        "point-block product must be finite and nonzero"));
    PetscCall(VecDestroy(&px));
 
    {
        PetscBool assembled = PETSC_FALSE;
        PetscCall(MatAssembled(preconditioning_matrix, &assembled));
        PetscCall(PicurvAssertBool(assembled, "engine must perform final matrix assembly"));
    }
    PetscCall(MatNorm(preconditioning_matrix, NORM_FROBENIUS, &matrix_norm));
    PetscCall(MatShift(preconditioning_matrix, 7.0));
    PetscCall(MomentumPreconditionerEngine_Assemble(&engine, user, x));
    PetscCall(MatGetInfo(preconditioning_matrix, MAT_GLOBAL_SUM,
                         &repeated_allocation_info));
    PetscCall(PicurvAssertRealNear((PetscReal)initial_allocation_info.nz_allocated,
        (PetscReal)repeated_allocation_info.nz_allocated, 0.0,
        "repeated assembly must retain exact allocated storage"));
    PetscCall(PicurvAssertRealNear((PetscReal)initial_allocation_info.mallocs,
        (PetscReal)repeated_allocation_info.mallocs, 0.0,
        "repeated assembly must not add insertion reallocations"));
    PetscCall(MatNorm(preconditioning_matrix, NORM_FROBENIUS, &reassembled_norm));
    PetscCall(PicurvAssertRealNear(matrix_norm, reassembled_norm, 1e-12,
                                   "repeated engine assembly must clear old entries"));
    {
        PetscScalar value = 0.0;
        PetscCall(PreconditionerMatrixStencilEntry(user, preconditioning_matrix,
            conditioned, conditioned, &value));
        PetscCall(PicurvAssertRealNear(1.0, PetscRealPart(value), 1e-14,
            "repeated engine assembly must clear old entries"));
    }
    PetscCall(KSPCreate(PETSC_COMM_WORLD, &ksp));
    PetscCall(KSPSetOperators(ksp, preconditioning_matrix, preconditioning_matrix));
    PetscCall(KSPGetPC(ksp, &pc));
    PetscCall(MomentumPreconditionerEngine_ConfigurePetscPC(&engine, pc));
    PetscCall(MomentumPreconditionerEngine_ValidatePetscPC(&engine, pc));
    PetscCall(KSPSetUp(ksp));
    PetscCall(DMCreateGlobalVector(user->fda, &pc_rhs));
    PetscCall(DMCreateGlobalVector(user->fda, &pc_solution));
    PetscCall(VecSet(pc_rhs, 1.0));
    PetscCall(PCApply(pc, pc_rhs, pc_solution));
    PetscCall(VecDestroy(&pc_solution)); PetscCall(VecDestroy(&pc_rhs));
    PetscCall(KSPDestroy(&ksp));
    PetscCall(MomentumPreconditionerEngine_Destroy(&engine));
    PetscCall(PicurvAssertBool((PetscBool)(engine.preconditioning_matrix == NULL),
                               "engine destroy must clear its owned matrix"));
    PetscCall(VecDestroy(&f)); PetscCall(VecDestroy(&x)); PetscCall(VecDestroy(&user->Rhs));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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AssertPeriodicPreconditionerRow()

static PetscErrorCode AssertPeriodicPreconditionerRow ( UserCtx *  user, Mat  matrix, MatStencil  row, const char *  message  )

static

Proves that one periodic matrix row has only its exact +1/-1 pair.

Definition at line 1650 of file test_momentum_newton_krylov.c.

{
    AO ao = NULL;
    PetscInt ri, rj, rk, global_row, global_rep, lo, hi, local_checked = 0, checked = 0;
    PetscInt ncols = 0;
    const PetscInt *cols = NULL;
    const PetscScalar *values = NULL;
    MomentumRowType type;
 
    PetscFunctionBeginUser;
    type = ClassifyMomentumRow(user, row.i, row.j, row.k, row.c, &ri, &rj, &rk);
    PetscCall(PicurvAssertIntEqual(MOM_ROW_PERIODIC_DUPLICATE, type, message));
    global_row = row.c + 3 * (row.i + user->info.mx * (row.j + user->info.my * row.k));
    PetscCall(DMDAGetAO(user->fda, &ao));
    PetscCall(AOApplicationToPetsc(ao, 1, &global_row));
    PetscCall(MatGetOwnershipRange(matrix, &lo, &hi));
    if (global_row >= lo && global_row < hi) {
        PetscBool found_self = PETSC_FALSE, found_rep = PETSC_FALSE;
        PetscInt nonzero_entries = 0;
        PetscCall(TestStencilToGlobal(user,
            (MatStencil){.i = ri, .j = rj, .k = rk, .c = row.c}, &global_rep));
        PetscCall(MatGetRow(matrix, global_row, &ncols, &cols, &values));
        for (PetscInt n = 0; n < ncols; ++n) {
            if (PetscAbsScalar(values[n]) <= 1e-14) continue;
            nonzero_entries++;
            if (cols[n] == global_row) {
                found_self = PETSC_TRUE;
                PetscCall(PicurvAssertRealNear(1.0, PetscRealPart(values[n]), 1e-14,
                    "periodic row self entry"));
            } else if (cols[n] == global_rep) {
                found_rep = PETSC_TRUE;
                PetscCall(PicurvAssertRealNear(-1.0, PetscRealPart(values[n]), 1e-14,
                    "periodic row representative entry"));
            } else {
                SETERRQ(PETSC_COMM_SELF, PETSC_ERR_PLIB,
                        "Periodic row contains an unintended nonzero column.");
            }
        }
        PetscCall(PicurvAssertIntEqual(2, nonzero_entries,
            "periodic row must contain exactly two numerical entries"));
        PetscCall(PicurvAssertBool((PetscBool)(found_self && found_rep), message));
        PetscCall(MatRestoreRow(matrix, global_row, &ncols, &cols, &values));
        local_checked = 1;
    }
    PetscCallMPI(MPI_Allreduce(&local_checked, &checked, 1, MPIU_INT, MPI_SUM, PETSC_COMM_WORLD));
    PetscCall(PicurvAssertIntEqual(1, checked, "periodic row must have exactly one matrix owner"));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestJacobianInterfaceAndBaselineAlias()

static PetscErrorCode TestJacobianInterfaceAndBaselineAlias ( void  )

static

Verifies Jacobian creation/registration and baseline alias ownership.

Definition at line 1701 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    MomentumNewtonKrylovContext ctx = {0};
    MomentumPreconditionerDescription description = {
        MOM_NK_PC_MODEL_NONE, MOM_NK_PC_STRUCTURE_NONE, 0, 0
    };
    SNES snes = NULL;
    Mat jacobian_operator = NULL, preconditioning_matrix = NULL;
    KSP ksp = NULL;
    PC pc = NULL;
    PetscInt rows = 0, cols = 0;
    const char *jacobian_prefix = NULL;
    const char *pc_type = NULL;
    PetscBool prefix_matches = PETSC_FALSE;
    PetscBool pc_is_none = PETSC_FALSE;
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(fixed_wall_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs));
    PetscCall(SNESCreate(PETSC_COMM_WORLD, &snes));
    PetscCall(SNESSetDM(snes, user->fda));
    ctx.user = user;
    ctx.jacobian.type = MOM_NK_JACOBIAN_FINITE_DIFFERENCE;
    ctx.jacobian.finite_difference_mode = MOM_NK_FD_MODE_MATRIX_FREE;
    PetscCall(SNESSetFunction(snes, NULL, MomentumNewtonKrylov_FormResidual, &ctx));
    PetscCall(MomentumNewtonJacobian_Create(snes, &ctx.jacobian));
    PetscCall(MatGetOptionsPrefix(ctx.jacobian.jacobian_operator, &jacobian_prefix));
    PetscCall(PetscStrcmp(jacobian_prefix, "mom_nk_", &prefix_matches));
    PetscCall(PicurvAssertBool(prefix_matches,
                               "Jacobian interface must apply the application prefix"));
    PetscCall(MomentumPreconditionerEngine_Create(
        user, ctx.jacobian.jacobian_operator, &description, &ctx.preconditioning_engine));
    PetscCall(MomentumNewtonJacobian_Register(
        snes, &ctx.jacobian, &ctx.preconditioning_engine, &ctx));
    PetscCall(SNESGetKSP(snes, &ksp));
    PetscCall(KSPGetPC(ksp, &pc));
    PetscCall(MomentumPreconditionerEngine_ConfigurePetscPC(
        &ctx.preconditioning_engine, pc));
    PetscCall(MomentumPreconditionerEngine_ValidatePetscPC(
        &ctx.preconditioning_engine, pc));
    PetscCall(PCGetType(pc, &pc_type));
    PetscCall(PetscStrcmp(pc_type, PCNONE, &pc_is_none));
    PetscCall(PicurvAssertBool(pc_is_none,
                               "baseline engine must derive PETSc PCNONE"));
    PetscCall(SNESGetJacobian(snes, &jacobian_operator, &preconditioning_matrix, NULL, NULL));
    PetscCall(PicurvAssertBool(
        (PetscBool)(jacobian_operator == ctx.jacobian.jacobian_operator),
        "SNES must receive the Jacobian-interface MFFD operator"));
    PetscCall(PicurvAssertBool((PetscBool)(preconditioning_matrix == jacobian_operator),
                               "baseline preconditioning matrix must alias the Jacobian"));
    PetscCall(PicurvAssertBool(ctx.preconditioning_engine.aliases_jacobian_operator,
                               "baseline engine must record matrix aliasing"));
    PetscCall(PicurvAssertBool((PetscBool)!ctx.preconditioning_engine.owns_preconditioning_matrix,
                               "baseline engine must not own the Jacobian alias"));
    PetscCall(MomentumPreconditionerEngine_Destroy(&ctx.preconditioning_engine));
    PetscCall(MatGetSize(ctx.jacobian.jacobian_operator, &rows, &cols));
    PetscCall(PicurvAssertBool((PetscBool)(rows > 0 && cols > 0),
                               "destroying an alias engine must preserve the Jacobian"));
    PetscCall(MomentumNewtonJacobian_Destroy(&ctx.jacobian));
    PetscCall(SNESDestroy(&snes));
    PetscCall(VecDestroy(&user->Rhs));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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TestPointBlockPeriodicAssembly()

static PetscErrorCode TestPointBlockPeriodicAssembly ( void  )

static

Exercises engine-owned periodic duplicate rows on every MPI layout.

Definition at line 1770 of file test_momentum_newton_krylov.c.

{
    SimCtx *simCtx = NULL;
    UserCtx *user = NULL;
    char tmpdir[PETSC_MAX_PATH_LEN] = "";
    MomentumNewtonKrylovContext ctx = {0};
    MomentumPreconditionerDescription description = {
        MOM_NK_PC_MODEL_FROZEN_MOMENTUM_JACOBIAN,
        MOM_NK_PC_STRUCTURE_POINT_BLOCK,
        0,
        0
    };
    Vec x = NULL, f = NULL;
    PetscReal matrix_norm = 0.0;
 
    PetscFunctionBeginUser;
    PetscCall(BuildNewtonFixture(periodic_xyz_bcs, &simCtx, &user, tmpdir, sizeof(tmpdir)));
    PetscCall(VecDuplicate(user->Ucont, &user->Rhs));
    PetscCall(VecDuplicate(user->Ucont, &x));
    PetscCall(VecDuplicate(user->Ucont, &f));
    PetscCall(VecCopy(user->Ucont, x));
    ctx.user = user;
    PetscCall(MomentumNewtonKrylov_FormResidual(NULL, x, f, &ctx));
    PetscCall(MomentumPreconditionerEngine_Create(
        user, NULL, &description, &ctx.preconditioning_engine));
    PetscCall(MomentumPreconditionerEngine_Assemble(&ctx.preconditioning_engine, user, x));
    PetscCall(AssertExactPointBlockMatrixAllocation(
        user, ctx.preconditioning_engine.preconditioning_matrix, PETSC_TRUE));
    PetscCall(MatNorm(ctx.preconditioning_engine.preconditioning_matrix,
                      NORM_FROBENIUS, &matrix_norm));
    PetscCall(PicurvAssertBool((PetscBool)(matrix_norm > 0.0),
                               "periodic point-block assembly must produce a nonzero matrix"));
    PetscCall(AssertPeriodicPreconditionerRow(user,
        ctx.preconditioning_engine.preconditioning_matrix,
        (MatStencil){.i = 0, .j = 2, .k = 3, .c = 0},
        "single-axis periodic row must contain exact +1/-1 entries"));
    PetscCall(AssertPeriodicPreconditionerRow(user,
        ctx.preconditioning_engine.preconditioning_matrix,
        (MatStencil){.i = 0, .j = 0, .k = 3, .c = 1},
        "periodic intersection must contain exact +1/-1 entries"));
    PetscCall(AssertPeriodicPreconditionerRow(user,
        ctx.preconditioning_engine.preconditioning_matrix,
        (MatStencil){.i = 0, .j = 0, .k = 0, .c = 2},
        "periodic origin intersection must contain exact +1/-1 entries"));
    PetscCall(MomentumPreconditionerEngine_Destroy(&ctx.preconditioning_engine));
    PetscCall(VecDestroy(&f));
    PetscCall(VecDestroy(&x));
    PetscCall(VecDestroy(&user->Rhs));
    PetscCall(DestroyNewtonFixture(&simCtx, tmpdir));
    PetscFunctionReturn(PETSC_SUCCESS);
}

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main()

int main	(	int	argc,
		char **	argv
	)

Runs the focused Newton–Krylov unit suite.

Parameters

argc	Command-line argument count.
argv	Command-line argument vector.

Returns

Process exit status.

Definition at line 1828 of file test_momentum_newton_krylov.c.

{
    PetscErrorCode ierr;
    const PicurvTestCase cases[] = {
        {"residual-repeatability-and-input-integrity", TestResidualRepeatabilityAndInputIntegrity},
        {"constraint-rows", TestConstraintRows},
        {"fixed-constraint-derivatives-all-faces", TestFixedConstraintDerivativesAllFaces},
        {"inlet-outlet-constraint-derivatives", TestInletOutletConstraintDerivatives},
        {"periodic-constraint-derivatives-and-intersections", TestPeriodicConstraintDerivativesAndIntersections},
        {"matrix-free-derivative", TestMatrixFreeDerivative},
        {"whole-operator-direct-jacobian", TestWholeOperatorDirectJacobian},
        {"periodic-operator-has-no-zero-rows", TestPeriodicOperatorHasNoZeroRows},
        {"zero-iteration-structured-logging", TestZeroIterationStructuredLogging},
        {"flat-channel-bdf1-startup", TestFlatChannelStartup},
        {"restart-and-continuation-solve", TestRestartAndContinuationSolve},
        {"small-solve-and-rollback", TestSmallSolveAndRollback},
        {"unsupported-configuration-fails-before-allocation", TestUnsupportedConfigurationFailsBeforeAllocation},
        {"post-allocation-failure-cleanup", TestPostAllocationFailureCleanup},
        {"linearization-config-parsing", TestLinearizationConfigParsing},
        {"point-block-preconditioner-engine", TestPointBlockPreconditionerEngine},
        {"jacobian-interface-and-baseline-alias", TestJacobianInterfaceAndBaselineAlias},
        {"point-block-periodic-assembly", TestPointBlockPeriodicAssembly},
    };
 
    ierr = PetscInitialize(&argc, &argv, NULL, "PICurv Newton Krylov tests");
    if (ierr) return (int)ierr;
    ierr = PicurvRunTests("unit-newton-krylov", cases, sizeof(cases) / sizeof(cases[0]));
    if (PetscFinalize()) return 1;
    return (int)ierr;
}

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Variable Documentation

geometric_periodic_bcs

const char* geometric_periodic_bcs

static

Initial value:

=
    "-Xi PERIODIC geometric\n"
    "+Xi PERIODIC geometric\n"
    "-Eta WALL noslip\n"
    "+Eta WALL noslip\n"
    "-Zeta INLET constant_velocity vx=0.0 vy=0.0 vz=1.5\n"
    "+Zeta OUTLET conservation\n"

Definition at line 18 of file test_momentum_newton_krylov.c.

fixed_wall_bcs

const char* fixed_wall_bcs

static

Initial value:

=
    "-Xi WALL noslip\n"
    "+Xi WALL noslip\n"
    "-Eta WALL noslip\n"
    "+Eta WALL noslip\n"
    "-Zeta WALL noslip\n"
    "+Zeta WALL noslip\n"

Definition at line 26 of file test_momentum_newton_krylov.c.

parabolic_bcs

const char* parabolic_bcs

static

Initial value:

=
    "-Xi WALL noslip\n"
    "+Xi WALL noslip\n"
    "-Eta WALL noslip\n"
    "+Eta WALL noslip\n"
    "-Zeta INLET parabolic v_max=1.5\n"
    "+Zeta OUTLET conservation\n"

Definition at line 34 of file test_momentum_newton_krylov.c.

periodic_x_bcs

const char* periodic_x_bcs

static

Initial value:

=
    "-Xi PERIODIC geometric\n+Xi PERIODIC geometric\n"
    "-Eta WALL noslip\n+Eta WALL noslip\n-Zeta WALL noslip\n+Zeta WALL noslip\n"

Definition at line 42 of file test_momentum_newton_krylov.c.

periodic_y_bcs

const char* periodic_y_bcs

static

Initial value:

=
    "-Xi WALL noslip\n+Xi WALL noslip\n"
    "-Eta PERIODIC geometric\n+Eta PERIODIC geometric\n-Zeta WALL noslip\n+Zeta WALL noslip\n"

Definition at line 46 of file test_momentum_newton_krylov.c.

periodic_z_bcs

const char* periodic_z_bcs

static

Initial value:

=
    "-Xi WALL noslip\n+Xi WALL noslip\n-Eta WALL noslip\n+Eta WALL noslip\n"
    "-Zeta PERIODIC geometric\n+Zeta PERIODIC geometric\n"

Definition at line 50 of file test_momentum_newton_krylov.c.

periodic_xy_bcs

const char* periodic_xy_bcs

static

Initial value:

=
    "-Xi PERIODIC geometric\n+Xi PERIODIC geometric\n"
    "-Eta PERIODIC geometric\n+Eta PERIODIC geometric\n"
    "-Zeta WALL noslip\n+Zeta WALL noslip\n"

Definition at line 54 of file test_momentum_newton_krylov.c.

periodic_xyz_bcs

const char* periodic_xyz_bcs

static

Initial value:

=
    "-Xi PERIODIC geometric\n+Xi PERIODIC geometric\n"
    "-Eta PERIODIC geometric\n+Eta PERIODIC geometric\n"
    "-Zeta PERIODIC geometric\n+Zeta PERIODIC geometric\n"

Definition at line 59 of file test_momentum_newton_krylov.c.