Solution to the Eulerian Equations by the Finite Element Method with an Application to Transonic Flow

Abstract

The Eulerian equations are solved by use of the finite element method (FEM) in conjunction with the Galerkin method of weighted residuals. The unsteady, nonconservative form of the equations is used to obtain the steady- state solution. Modifications are made in the time integration to improve stability at the cost of sacrificing the transient behavior. Numerical results are presented which compare reasonably well with other numerical solutions and with experimental data for transonic flow over airfoils.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1976
Accession Number
ADA028059

Entities

People

  • K. R. Kneile
  • W. J. Phares

Organizations

  • Arnold Engineering Development Complex

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computational Fluid Dynamics
  • Computational Science
  • Engineering
  • Equations
  • Experimental Data
  • Finite Element Analysis
  • Flow
  • Fluid Dynamics
  • Fluid Mechanics
  • Free Stream
  • Mach Number
  • Mechanics
  • Pressure Distribution
  • Steady State
  • Transonic Flow
  • United States

Fields of Study

  • Physics

Readers

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