A Variable Node Finite Element Method Applied to the Gas Dynamics Equations.

Abstract

The author's variable node finite element method has been extended to systems of partial differential equations in one space dimension and applied to the gas dynamics equations in conservation form with a numerical viscosity to smear out the discontinuities. The method for gas dynamics was implemented in the computer program VFEGD and tested successfully on a shock tube problem. Since the variable node method concentrates nodes in regions of large gradients, it makes possible automatic numerical detection of contact discontinuities and shocks. Once they have been detected, they can be sharpened and consequently their diffusion can be controlled. The program VFEGD, with modifications to detect and sharpen contacts and shocks, was also tested successfully on the shock tube problem. (Author).

Document Details

Document Type
Technical Report
Publication Date
May 01, 1985
Accession Number
ADA155211

Entities

People

  • M. C. Mosher

Tags

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Differential Equations
  • Discontinuities
  • Dynamics
  • Equations
  • Finite Element Analysis
  • Gas Dynamics
  • Partial Differential Equations
  • Shock Tubes
  • Tubes

Readers

  • Calculus or Mathematical Analysis
  • Electrical Engineering
  • Pulsed Power and Plasma Physics.

Technology Areas

  • Space