Explicit Difference Schemes for Wave Propagation and Impact Problems

Abstract

Explicit finite difference and finite element schemes are constructed to solve wave propagation, shock, and impact problems. The schemes rely on exponential functions and the solution of linearized Riemann problems in order to reduce the effects of numerical dispersion and diffusion. The relationship of the new schemes to existing explicit schemes is analyzed and numerical results and comparisons are presented for several examples.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADA117328

Entities

People

  • J. E. Flaherty

Organizations

  • Rensselaer Polytechnic Institute

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Acquisition
  • Boundary Layer
  • Boundary Value Problems
  • Cauchy Problem
  • Differential Equations
  • Equations
  • Errors
  • Functions (Mathematics)
  • Geometry
  • Information Science
  • Layers
  • Mathematical Analysis
  • Mathematics
  • Numbers
  • Random Variables
  • Steady State
  • Wave Propagation

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.