Splitting Methods for Low Mach Number Euler and Navier-Stokes Equations.

Abstract

In this paper, we examine some splitting techniques for low Mach number Euler flows. We point out shortcomings of some of the proposed methods and suggest an explanation for their inadequacy. We then present a symmetric splitting for both the Euler and Navier-Stokes equations which removes the stiffness of these equations when Mach number is small. The splitting is shown to be stable.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1987
Accession Number
ADA189586

Entities

People

  • David Gottlieb
  • Pravir Dutt
  • Saul Abarbanel

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Base Flow
  • Coefficients
  • Computational Fluid Dynamics
  • Computational Science
  • Computers
  • Eigenvalues
  • Engineering
  • Equations
  • Euler Equations
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Mach Number
  • Mechanics
  • Navier Stokes Equations
  • Stiffness

Fields of Study

  • Physics

Readers

  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)