# Numerical methods

### From CFD-Wiki

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## [[Finite element]] | ## [[Finite element]] |

## Revision as of 04:23, 7 December 2005

## Numerical Aspects of CFD

This section covers the numerical soul of CFD.

- Introduction to numerical methods
- Geometrical Calculations
- Discretisation
- Linear equation systems
- Introduction and need
- Matrix Related
- Direct numerical solutions
- Gauss elimination
- LU decomposition method
- Direct solution to tridiagonal matrix

- Iterative solutions
- Multigrid methods

- Solution of Poisson's equation
- Solution of Navier-Stokes equation
- 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

- Solution of Euler equation
- Efficiency and stability
- Limiters

- Meshless methods
- Overset grids
- Panel method
- CFD Related algorithms
- Wall distance Calculations