Local Uniform Mesh Refinement with Moving Grids.

Abstract

Local Uniform Mesh Refinement (LUMR) is a powerful technique for solving hyperbolic partial differential equations. However, many problems contain regions where numerical dispersion is very large, such as step fronts. In these regions, mesh refinement is not very efficient. A better approach in these regions is to locally transform the coordinate system to move with the front. This document shows how to combine these two approaches in a way which maintains the advantages of LUMR and the effectiveness of moving grids. Experiments with 2-D scalar problems are presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1984
Accession Number
ADA141782

Entities

People

  • W. D. Gropp

Organizations

  • Yale University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Boundary Value Problems
  • Computations
  • Computer Science
  • Coordinate Systems
  • Differential Equations
  • Discontinuities
  • Dispersion Relations
  • Dispersions
  • Equations
  • Finite Element Analysis
  • Frequency
  • Grids
  • Numerical Analysis
  • Partial Differential Equations
  • Two Dimensional

Readers

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