Theory and Numerics

This section describes the mathematical models and numerical methods implemented in PICurv.

Governing Equations

• Incompressible Navier-Stokes Equations...
• Lagrangian Particle Dynamics...

Numerical Methods

• Flow Solver: A fractional-step projection method...
• LES Model: The dynamic Smagorinsky model...
• Particle Coupling:
  • Interpolation (Grid → Particle): Trilinear interpolation.
  • Deposition (Particle → Grid): Conservative face-based projection.

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