A parallel block-preconditioned GCR method for incompressible flow problems

C. Vuik*, J. Frank, A. Segal

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

Efficient parallel algorithms are required to simulate incompressible turbulent flows in complex two- and three-dimensional domains. The incompressible Navier-Stokes equations are discretized in general coordinates on a structured grid. For a flow on a general domain we use an unstructured decomposition of the domain into subdomains of simple shape, with a structured grid inside each subdomain. We have developed a parallel block-preconditioned GCR method to solve the resulting systems of linear equations. The method can be smoothly varied between a coarse grain parallel method in which the subdomain problems are solved accurately with an inner iteration process and a fine grain parallel method when only a preconditioner is used to approximate the solution on the blocks. Parallel performance results for Boussinesq flow in a cavity are included.

Original languageEnglish
Pages (from-to)31-40
Number of pages10
JournalFuture Generation Computer Systems
Volume18
Issue number1
DOIs
Publication statusPublished - Sept 2001
Externally publishedYes

Keywords

  • Approximate subdomain solution
  • Domain decomposition
  • Incompressible Navier-Stokes equations
  • Orthogonalization methods
  • Parallel Krylov subspace methods

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