General Framework for Achieving Textbook Multigrid Efficiency: One-dimensional Euler Example

Abstract

A general multigrid framework is discussed for obtaining textbook efficiency to solutions of the compressible Euler and Navier-Stokes equations in conservation law form. The general methodology relies on a distributed relaxation procedure to reduce errors in regular (smoothly varying) flow regions; separate and distinct treatments for each of the factors (elliptic and/or hyperbolic) are used to attain optimal reductions of errors. Near boundaries and discontinuities (shocks) additional local relaxations of the conservative equations are necessary. Example calculations are made for the quasi-one-dimensional Euler equations; the calculations illustrate the general procedure.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 2000
Accession Number
ADA381558

Entities

People

  • Achi Brandt
  • Boris Diskin
  • James L. Thomas
  • Jerry C. South Jr

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Compressible Flow
  • Computational Fluid Dynamics
  • Computational Science
  • Computations
  • Convection
  • Differential Equations
  • Eigenvalues
  • Equations
  • Equations Of State
  • Euler Equations
  • Fluid Dynamics
  • Mach Number
  • Navier Stokes Equations
  • Steady State
  • Subsonic Flow
  • Supersonic Flow
  • Transonic Flow

Readers

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