Starting Errors in Numerical Approximations to an Equilibrium Dusty Gas Model

Abstract

Discontinuous initial data can generate spurious waves in the numerical solution of some systems of hyperbolic partial differential equations. In this paper we study a particular model of a dusty gas that appears to be especially susceptible to this type of starting error. Using a combination of analysis and numerical computation, we identify the source of the error and propose remedies. The method of analysis should be applicable to other systems.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2004
Accession Number
ADA432836

Entities

People

  • Stephen F. Davis

Organizations

  • United States Army Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Computational Science
  • Computations
  • Differential Equations
  • Eigenvalues
  • Equations
  • Euler Equations
  • Fluid Mechanics
  • Formulas (Mathematics)
  • Ideal Gas Law
  • Mathematical Analysis
  • Mathematics
  • Mechanics
  • Military Research
  • Numerical Analysis
  • Partial Differential Equations
  • Particles

Fields of Study

  • Mathematics

Readers

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  • Systems Analysis and Design