Block preconditioners for finite element discretization of incompressible flow with thermal convection

Victoria E. Howle, Robert C. Kirby

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

We derive block preconditioners for a finite element discretization of incompressible flow coupled to heat transport by the Boussinesq approximation. Our techniques rely on effectively approximating the Schur complement obtained by eliminating the fluid variables to obtain an equation for temperature alone. Additionally, the method utilizes existing block-structured preconditioners and multilevel methods for the Navier-Stokes equations and scalar convection-diffusion. We find that the preconditioner remains robust and scalable even when the subsolves are applied quite inexactly.

Original languageEnglish
Pages (from-to)427-440
Number of pages14
JournalNumerical Linear Algebra with Applications
Volume19
Issue number2
DOIs
StatePublished - Mar 2012

Keywords

  • Block preconditioner
  • Bénard convection
  • Finite element
  • Incompressible flow
  • Multiphysics

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