# Numerical methods

### From CFD-Wiki

## Numerical Aspects of CFD

This section covers the numerical soul of CFD.

- Introduction to numerical methods
- Basic aspects of discretization
- Solution of Euler equation
- Solution of Poisson's equation
- Solution of Navier-Stokes equations
- Velocity-pressure coupling
- Fully coupled methods - FC
- DeCoupled methods - DC
- SIMPLE algorithm
- SIMPLEC algorithm - SIMPLE Consistent
- SIMPLEM algorithm - SIMPLE-Modified
- SIMPLEX algorithm
- SIMPLEST algorithm - SIMPLE ShorTened
- SIMPLER algorithm - SIMPLE - Revised
- PISO algorithm - Pressure Implicit with Split Operator
- PRIME algorithm - PRessure Implicit Momentum Explicit
- MSIMPLEC, MPISO , SIMPLESSEC , SIMPLESSE
- CPC - Compressible Pressure Correction algorithm
- MCBA - Mass Conservation Based Algorithms
- GCBA - Geometric Conservation Based Algorithms
- IPSA - Inter-Phase Slip Algorithm
- CPI - Consistent Physical Interpolation
- MWIM - Momentum Weighted Interpolation Method
- PWIM - Pressure Weighted Interpolation Method
- ACM - Artificial Compressibility Method
- CIP - Cubic Interpolating Polynomial Method

- Discrete Operator Splitting

- Solution of Boltzmann Equation
- CFD Related algorithms
- Wall distance Calculations

- Geometrical Calculations
- Discretization
- Linear systems of equations
- Introduction and need
- Direct methods
- Iterative methods
- Matrix factorization and preconditioning
- Multigrid methods

- Efficiency and stability
- Limiters

- Meshless methods
- Overset grids
- Panel method
- Calculation on non-orthogonal curvelinear structured grids, finite-volume method