An Efficient Parallel Implementation of the SIMPLE AlgorithmBased on a Multigrid Method
2020
This paper deals with a parallel implementation of the SIMPLE
(Semi-Implicit Method for Pressure-Linked Equations) algorithm to
numerically solve the Navier–Stokes system of equations for viscous
incompressible flows. A mechanism of interprocess communication using a
mesh decomposition with virtual cells and an algebraic multigrid method
is proposed. A method of distributed matrix storage and an algorithm for
matrix-vector operations reducing the number of interprocess
communications are presented. The results of a series of numerical
experiments on structured and unstructured grids (including a problem of
external aerodynamics) are presented. Based on the results obtained, an
analysis of the influence of multigrid solver settings on the overall
efficiency of the algorithm is made. It is shown that the parallel
algorithm based on an algebraic multigrid technique proposed for the
SIMPLE method makes it possible to efficiently calculate problems on
hundreds of processors.
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