Linear Bicharacteristics Schemes Without Dissipation

Abstract

This paper is concerned with developing methods for the propagation of linear waves in several space dimensions. The methods are time-reversible, and hence free from numerical dissipation. They are based on bi-characteristic forms of the governing equations, and are made possible by adopting forms of staggered storage that depend on the precise equations under consideration. Analysis is presented for the equations of acoustics, electromagnetics, and elastodynamics.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1994
Accession Number
ADA284029

Entities

People

  • Philip Roe

Tags

Communities of Interest

  • Air Platforms
  • Biomedical
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Accuracy
  • Acoustic Waves
  • Acoustics
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Dissipation
  • Equations
  • Fluid Dynamics
  • Group Velocity
  • Partial Differential Equations
  • Phase Velocity
  • Reversible
  • Two Dimensional
  • Wave Equations
  • Wave Propagation
  • Waves

Fields of Study

  • Mathematics

Readers

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

Technology Areas

  • Space