Development of a Finite Element Approach for Approximate Analysis of Unsteady Compressible Fluid Flow

Abstract

A finite element method is developed to approximately analyze unsteady compressible gas flow in one spatial dimension. Extension of this analysis to three dimensions is possible. The present method, as programmed for an IBM 360/65 computer, is suited for a variety of one-dimensional flow situations, except those characterized by extremely large rates of pressure change. The form of the equations is such that heat and mass sources, and sinks, frictional losses, cross-sectional area changes, and other quantities of engineering significance can readily be incorporated. The analysis can serve as a mathematical model to approximate some of the dynamic phenomena in gas flow.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1972
Accession Number
AD0746234

Entities

People

  • Albert E. Rahe
  • Paul E. Ehle

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Analog Computers
  • Computational Fluid Dynamics
  • Computational Science
  • Computer Programs
  • Computers
  • Difference Equations
  • Differential Equations
  • Engineering
  • Equations
  • Finite Element Analysis
  • Flow
  • Fluid Dynamics
  • Fluid Flow
  • Fluid Mechanics
  • Gas Flow
  • Heat Energy
  • Partial Differential Equations

Fields of Study

  • Physics

Readers

  • Combustion and Flow Dynamics.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)