Abstract

AbstractWe present an extension of a well–known classic algebraic multigrid algorithm, where coarsening is based on selection of equations, for an implicitly coupled pressure–velocity system discretised by the finite volume (FV) method. The resulting coefficient matrix of the linear system is point–ordered, and there are 4 equations for each FV cell: three components of velocity and pressure. A significant challenge is posed in terms of parallelisation of the sequential coarsening process and calculation of coarse level matrix, using the Galerkin projection. In this paper we present the parallelisation strategy and performance of the block–selection AMG.

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