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System of Linear Equations
Finite Volume Method converts the system of differential equations to the system of linear equations:
Such a linear algebra problem can be solved with following methods implemented in OpenFOAM:
Linear system solver method:
- GAMG (Geometric-Algebraic Multi-Grid) for both symmetric and asymmetric matrices
- PBiCG (Preconditioned Biconjugate Gradient ) for asymmetric matrices
- PCG (Preconditioned Conjugate Gradient) for symmetric matrices
- smoothSolver (solver using a smoother for both symmetric and asymmetric matrices )
- ICCG (Incomplete Cholesky preconditioned PCG solver, i.e. PBiCG with DIC )3.1
- BICCG (Diagonal Incomplete LU preconditioned PBiCG solver, i.e. PCG with DILU)3.2
Method preconditioner:
- DILU (Diagonal Incomplete LU decomposition)
- DIC (Diagonal incomplete-Cholesky) for symmetric matrices
- FDIC (Faster diagonal incomplete-Cholesky) for symmetric matrices
- diagonal (Diagonal)
- GAMG (Geometric-Algebraic Multi-Grid)
- none (No preconditioning)
- DICGaussSeidel, GaussSeidel, nonBlockingGaussSeidel, symGaussSeidel (for symmetric matrices)
- For more details see e.g. [10].
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