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On the performance of a simple parallel implementation of the ILU-PCG for the Poisson equation on irregular domains. (English) Zbl 1245.76065
Summary: We report on the performance of a parallel algorithm for solving the Poisson equation on irregular domains. We use the spatial discretization of F. Gibou et al. [J. Comput. Phys. 176, No. 1, 205–227 (2002; Zbl 0996.65108)] for the Poisson equation with Dirichlet boundary conditions, while we use a finite volume discretization for imposing Neumann boundary conditions. The parallelization algorithm is based on the Cuthill-McKee ordering. Its implementation is straightforward, especially in the case of shared memory machines, and produces significant speedup; about three times on a standard quad core desktop computer and about seven times on a octa core shared memory cluster. The implementation code is posted on the authors’ web pages for reference.

76M12 Finite volume methods applied to problems in fluid mechanics
65Y05 Parallel numerical computation
Full Text: DOI
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