Numerical methods
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This section covers the numerical soul of CFD. | This section covers the numerical soul of CFD. | ||
# [[Introduction to numerical methods]] | # [[Introduction to numerical methods]] | ||
+ | # [[Basic aspects of discretization]] | ||
+ | ## [[Classification of govering equations]] | ||
+ | ### [[Integral form of govering equations]] | ||
+ | ### [[Differential form of govering equations]] | ||
+ | ### [[Forms of the govering equations suited for CFD]] | ||
+ | ### [[Generic scalar transport equation]] | ||
+ | ## [[Mathematical behaivior of Partial Differential Equations]] | ||
+ | ### [[Classification of physical behaviour]] | ||
+ | #### [[Equilibrium problems]] | ||
+ | #### [[Marching problems]] | ||
+ | ### [[Mathematical Classification of flows]] | ||
+ | #### [[Hyperbolic flows]] | ||
+ | #### [[Parabolic flows]] | ||
+ | #### [[Elliptic flows]] | ||
+ | #### [[Mixed flow types]] | ||
+ | ### [[Stability Analysis]] | ||
+ | #### [[Fourier stability analysis]] | ||
+ | #### [[von Neuman stability analysis]] | ||
+ | #### [[Courant–Friedrichs–Lewy condition]] | ||
+ | ## [[Properties of Numerical Solution Methods]] | ||
+ | ### [[Consistency]] | ||
+ | ### [[Stability]] | ||
+ | ### [[Conservation]] | ||
+ | ### [[Boundedness]] | ||
+ | ### [[Realizability]] | ||
+ | ### [[Accuracy]] | ||
# [[Solution of Euler equation]] | # [[Solution of Euler equation]] | ||
# [[Solution of Poisson's equation]] | # [[Solution of Poisson's equation]] |
Latest revision as of 12:42, 26 August 2012
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