Preconditioning and the Limit to the Incompressible Flow Equations

Abstract

We consider the use of preconditioning methods to accelerate the convergence to a steady state for both the incompressible and compressible fluid dynamic equations. We also consider the relation between them for both the continuous problem and the finite difference approximation. The analysis relies on the inviscid equations. The preconditioning consists of a matrix multiplying the time derivatives. Hence, the steady state of the preconditioned system is the same as the steady state of the original system. For finite difference methods the preconditioning can change and improve the steady state solutions. An application to flow around an airfoil is presented. Preconditioning, Euler equations.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1993
Accession Number
ADA270533

Entities

People

  • A. Fiterman
  • Bram van Leer
  • E. Turkel

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Difference Equations
  • Differential Equations
  • Eigenvalues
  • Engineering
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Incompressible Flow
  • Inviscid Flow
  • Mach Number
  • Partial Differential Equations
  • Steady State
  • Two Dimensional
  • Viscous Flow

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)