# Numerical methods

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 Revision as of 22:16, 26 November 2008 (view source)Peter (Talk | contribs)m (Reverted edits by AlcocOorra (Talk) to last version by Kennkqzhang)← Older edit Revision as of 11:26, 3 December 2008 (view source)Ilghiz (Talk | contribs) (rearrange for better understanding + adding Boltzmann calculations)Newer edit → Line 2: Line 2: This section covers the numerical soul of CFD. This section covers the numerical soul of CFD. # [[Introduction to numerical methods]] # [[Introduction to numerical methods]] + # [[Solution of Euler equation]] + # [[Solution of Poisson's equation]] + # [[Solution of Navier-Stokes equations]] + ## [[Velocity-pressure coupling]] + ### [[Rhie-Chow interpolation]] + ## [[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 + ### [[Moore's kd-tree algorithm]] + ### [[Transport equation based wall distance calculation]] # Geometrical Calculations # Geometrical Calculations ## [[Area calculations]] ## [[Area calculations]] Line 45: Line 76: ### [[Geometric multigrid]] ### [[Geometric multigrid]] ### [[Algebraic multigrid - AMG]] ### [[Algebraic multigrid - AMG]] - # [[Solution of Poisson's equation]] - # [[Solution of Navier-Stokes equations]] - ## [[Velocity-pressure coupling]] - ### [[Rhie-Chow interpolation]] - ## [[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 Euler equation]] # [[Efficiency and stability]] # [[Efficiency and stability]] ## Limiters ## Limiters Line 78: Line 83: # [[Overset grids]] # [[Overset grids]] # [[Panel method]] # [[Panel method]] - # CFD Related algorithms - ## Wall distance Calculations - ### [[Moore's kd-tree algorithm]] - ### [[Transport equation based wall distance calculation]]

## Numerical Aspects of CFD

This section covers the numerical soul of CFD.