Experiments with Mesh Moving and Local Refinement Algorithms for Hyperbolic Systems

Abstract

Computational experiments using adaptive procedures that combine mesh motion and local mesh refinement are presented for one- and two-dimensional time-dependent partial differential systems. The adaptive algorithms were developed by Arney and Flaherty and involve motion of a coarse base mesh that isolates spatially distinct phenomena and local mesh refinement that recursively divides the time step and spatial cells of the moving base mesh in regions where a refinement indicator exceeds a prescribed tolerance. Numerical solutions of the Euler equations using a MacCormack finite volume scheme are presented for one- and two-dimensional shock problems.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1988
Accession Number
ADA204580

Entities

People

  • David C. Arney
  • J. E. Flaherty
  • Rupak Biswas

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algebraic Functions
  • Algorithms
  • Computations
  • Computer Science
  • Differential Equations
  • Equations
  • Errors
  • Euler Equations
  • Geometry
  • Mathematics
  • Partial Differential Equations
  • Shock Tubes
  • Tubes
  • Two Dimensional
  • United States
  • United States Military Academy

Readers

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