Multigrid Line Smoothers for Higher Order Upwind Discretizations of Convection-Dominated Problems

C. W. Oosterlee*, F. J. Gaspar, T. Washio, R. Wienands

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

In this paper we present new multigrid line smoothers for the solution of higher order discretizations of convection-dominated problems directly. The behavior of the smoothers is analyzed theoretically with Fourier smoothing and two-grid analysis. A parallel tri-line variant is presented and evaluated. The smoothers are applied to scalar convection-diffusion problems, discretized with limiters and systems of incompressible Navier-Stokes and Euler equations.

Original languageEnglish
Pages (from-to)274-307
Number of pages34
JournalJournal of Computational Physics
Volume139
Issue number2
DOIs
Publication statusPublished - 20 Jan 1998
Externally publishedYes

Keywords

  • Convection domination
  • Higher order discretizations
  • Line smoothers
  • Multigrid

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