Pseudo-Compressibility Methods for the Incompressible Flow Equations

Abstract

We consider preconditioning methods to accelerate convergence to a steady state for the incompressible fluid dynamic equations. The analysis relies on the inviscid equations. The preconditioning consists of a matrix multiplying the time derivatives. Thus the steady state of the preconditioned system is the same as the steady state of the original system. We compare our method to other types of pseudo-compressibility. For finite difference methods preconditioning can change and improve the steady state solutions. An application to viscous flow around a cascade with a non-periodic mesh is presented. Preconditioning, Incompressible equations.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1993
Accession Number
ADA273657

Entities

People

  • A Arnone
  • Eli Turkel

Organizations

  • National Aeronautics and Space Administration

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Boundaries
  • Compressive Properties
  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Euler Equations
  • Flow
  • Navier Stokes Equations
  • Partial Differential Equations
  • Steady State
  • Turbulent Flow
  • Two Dimensional
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)