IMPLEMENTATION IN LOGOS SOFTWARE OF A COMPUTATIONAL SCHEME FOR A VISCOUS INCOMPRESSIBLE FLUID USING THE MULTIGRID METHOD BASED ON ALGORITHM SIMPLE
A. S. Kozelkov, Yu. N. Deryugin, S. V. Lashkin, D. P. Silaev, P. G. Simonov, E. S. Tyatyushkina
VANT. Ser.: Mat. Mod. Fiz. Proc 2013. Вып.4. С. 31-43.
The paper considers the specific features of the multigrid method implementation in program to solve systems of linear algebraic equations using the method of aggregative coarsening. The method has been implemented in LOGOS software for the module oriented to numerically solving equations of hydrodynamics for a viscous incompressible fluid using arbitrarily-shaped unstructured grids. The paper considers variants of solving scalar linear algebraic systems using V-, W,- and F-cycles of the multigrid method. Special attention is paid to parallelizing the method, the coarse levels problem solution is demonstrated. The algebraic multigrid method performance is compared to the performance of the preconditioned method of conjugate gradients and the multigrid method without the use of global level to solve problems of viscous incompressible fluid flows.Keywords: system of equations, multigrid method, algorithm, matrix, aggregative method.
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