A Finite Element Method for the Gas Dynamics Equations in Two Dimensions and in Conservation Form.

Abstract

A linear finite element method for the gas dynamics equations in two dimensions, in conservation form and with a numerical viscosity, is described. Series representations of the integrals of rational functions produced by the conservation form that are suitable for numerical computation are derived. The numerical viscosity is used to smear out shocks. The ordinary differential equations of the method can be integrated by any packaged program designed for systems with a mass matrix. The series representations of the integrals can be used by moving node finite element methods. (Author)

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1984
Accession Number
ADA139774

Entities

People

  • M. C. Mosher

Tags

DTIC Thesaurus Topics

  • Computations
  • Differential Equations
  • Dynamics
  • Equations
  • Finite Element Analysis
  • Gas Dynamics
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Rational Functions
  • Viscosity

Fields of Study

  • Mathematics

Readers

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