Solution of pressure Poisson equation in particle method using algebraic multigrid method

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  • 代数的マルチグリッド法を用いた粒子法における圧力ポアソン方程式の解法

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Description

In this paper, we present application of the algebraic multigrid method to a pressure Poisson equation that arises in the fluid flow simulation of the particle method. The solution method is based on the plain aggregation algebraic multigrid (PA-AMG), in which the double pairwise aggregation is employed for grid coarsening and K-cycle is adopted for multigrid cycle. The PA-AMG method is used as a preconditioner for BiCGSTAB method. The method is applied to fundamental test problems to examine the performance for solution of linear systems generated by discretizing a Poisson equation based on the MPS method. The numerical results showed that the present method is successful in coarsening grid with constant coarsening ratio and can solve Poisson equations faster than non-preconditioned BiCGSTAB method especially for large problems.

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Details 詳細情報について

  • CRID
    1390282679449668608
  • NII Article ID
    130005151023
  • DOI
    10.11421/jsces.2016.20160012
  • ISSN
    13478826
    13449443
  • Text Lang
    ja
  • Article Type
    journal article
  • Data Source
    • JaLC
    • CiNii Articles
    • KAKEN
  • Abstract License Flag
    Disallowed

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