Fast Nonsymmetric Iterations and Preconditioning for Navier-Stokes Equations

Abstract

Discretization and linearization of the steady-state Navier-Stokes equations gives rise to a nonsymmetric indefinite linear system of equations. In this paper, we introduce preconditioning techniques for such systems with the property that the eigenvalues of the preconditioned matrices are bounded independently of the mesh size used in the discretization. We confirm and supplement these analytic results with a series of numerical experiments indicating that Krylov subspace iterative methods for nonsymmetric systems display rates of convergence that are independent of the mesh parameter. In addition, we show that preconditioning costs can be kept small by using iterative methods for some intermediate steps performed by the preconditioner.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1994
Accession Number
ADA599710

Entities

People

  • David Silvester
  • Howard Elman

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Computer Science
  • Convection
  • Convergence
  • Differential Equations
  • Eigenvalues
  • Equations
  • Iterations
  • Linear Systems
  • Mathematics
  • Molecular Dynamics
  • Navier Stokes Equations
  • Numerical Analysis
  • Steady State
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Linear Algebra