Numerical methods
From CFD-Wiki
(Difference between revisions)
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## [[Finite volume]] | ## [[Finite volume]] | ||
### [[Discretisation of convective term]] | ### [[Discretisation of convective term]] | ||
+ | #### [[Approximation Schemes]] | ||
+ | #### [[Approximation of Convective Fluxes]] | ||
### [[Discretisation of diffusive term]] | ### [[Discretisation of diffusive term]] | ||
+ | #### [[Approximation Schemes]] | ||
+ | #### [[Approximation of Diffusive Fluxes]] | ||
### [[Discretisation on orthogonal grids]] | ### [[Discretisation on orthogonal grids]] | ||
### [[Discretisation on non-orthogonal curvilinear body-fitted grids]] | ### [[Discretisation on non-orthogonal curvilinear body-fitted grids]] | ||
### I do not think we need 3 and 4, since 1 and 2 deals with non ortho and ortho both!!!!-zxaar | ### I do not think we need 3 and 4, since 1 and 2 deals with non ortho and ortho both!!!!-zxaar | ||
+ | ### You are right, but it's need to make topixs there, but I'am thinking where and how!!!! - Michail | ||
+ | ### [[Discretisation of source terms]] | ||
## [[Finite element]] | ## [[Finite element]] | ||
## [[Time discretisation]] | ## [[Time discretisation]] | ||
Line 42: | Line 48: | ||
### [[Additive corrective multigrid]] | ### [[Additive corrective multigrid]] | ||
## [[Solution of Poisson's equation]] | ## [[Solution of Poisson's equation]] | ||
- | + | # [[Solution of system Navier-Stokes equation, velocity-pressure coupling]] | |
+ | ## [[Staggered arrangement]] | ||
+ | ## [[Colocated arrangement]] | ||
+ | ## [[Numerical Algorithms]] | ||
### [[SIMPLE algorithm]] | ### [[SIMPLE algorithm]] | ||
### [[SIMPLEC algorithm]] | ### [[SIMPLEC algorithm]] | ||
### [[SIMPLER algorithm]] | ### [[SIMPLER algorithm]] | ||
### [[PISO algorithm]] | ### [[PISO algorithm]] | ||
+ | ### [[Artificial compressibility method]] | ||
# [[Efficiency and stability]] | # [[Efficiency and stability]] | ||
## Limiters | ## Limiters |
Revision as of 16:46, 14 September 2005
Numerical Aspects of CFD
This section covers the numerical soul of CFD.
- Introduction to numerical methods
- Geometrical Calculations
- Gradient calculations
- Discretisation
- Finite differences
- Finite volume
- Discretisation of convective term
- Discretisation of diffusive term
- Discretisation on orthogonal grids
- Discretisation on non-orthogonal curvilinear body-fitted grids
- I do not think we need 3 and 4, since 1 and 2 deals with non ortho and ortho both!!!!-zxaar
- You are right, but it's need to make topixs there, but I'am thinking where and how!!!! - Michail
- Discretisation of source terms
- Finite element
- Time discretisation
- Linear equation systems
- Introduction and need
- Matrix Related
- Direct numerical solutions
- Iterative solutions
- Multigrid methods
- Solution of Poisson's equation
- Solution of system Navier-Stokes equation, velocity-pressure coupling
- Efficiency and stability
- Limiters
- Meshless methods
- CFD Related algorithms
- Wall distance Calculations