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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 )^{8.2}

BICCG (Diagonal Incomplete LU preconditioned PBiCG solver, i.e. PCG with DILU)^{8.3}

Method preconditioner:

DILU (Diagonal Incomplete LU decomposition)

DIC (Diagonal incomplete-Cholesky) for symmetric matrices

FDIC (Faster diagonal incomplete-Cholesky) for symmetric matrices