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Multigrid and defect correction for the steady Navier-Stokes equations

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Abstract

Theoretical and experimental convergence results are presented for multigrid and iterative defect correction applied to finite volume discretizations of the steady, two-dimensional compressible Navier-Stokes equations. Iterative defect correction is introduced for circumventing the difficulty in finding a solution of discretized equations with a second- or higher-order accurate convective part. As a smoothing technique, use is made of point Gauss-Seidel relaxation, Newton iteration as a basic solution method. The multigrid technique appears to be very efficient for smooth as well as nonsmooth problems.
Original languageEnglish
Title of host publicationRobust multi-grid methods
Subtitle of host publicationProceedings of the Fourth GAMM-Seminar, Kiel, January 22 to 24,1988
EditorsWolfgang Hackbusch
Place of PublicationBerlin
PublisherSpringer
Pages165-177
ISBN (Electronic)978-3-322-86200-6
ISBN (Print)978-3-528-08097-6
DOIs
Publication statusPublished - 1989
Externally publishedYes

Publication series

NameNotes on Numerical Fluid Mechanics
Volume23
ISSN (Print)1612-2909
ISSN (Electronic)1860-0824

Keywords

  • Error Analysis
  • Grid Generation (Mathematics)
  • Navier-Stokes Equation
  • Relaxation Method (Mathematics)
  • Steady Flow
  • Compressible Flow
  • Finite Volume Method
  • Iterative Solution
  • Newton Methods

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