Review of Preconditioning Methods for Fluid Dynamics

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. Most of the analysis relies on the inviscid equations though some applications for viscous flow are considered. The preconditioning can consist of either a matrix or a differential operator acting on the time derivatives. Hence, in the steady state the original steady solution is obtained. For finite difference methods the preconditioning can change and improve the steady state solutions. Several preconditioners previously discussed are reviewed and some new approaches are presented. Preconditioning, Low Mach, Euler equations.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1992
Accession Number
ADA256622

Entities

People

  • Eli Turkel

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Hydrodynamics
  • Mach Number
  • Mechanics
  • Navier Stokes Equations
  • Partial Differential Equations
  • Physics
  • Steady State
  • Viscous Flow

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Statistical inference.