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Finite element formulations for hyperbolic systems with particular emphasis on the compressible Euler equations

Citation

Tezduyar, Tayfun E. (1982) Finite element formulations for hyperbolic systems with particular emphasis on the compressible Euler equations. Dissertation (Ph.D.), California Institute of Technology. http://resolver.caltech.edu/CaltechETD:etd-09112006-130749

Abstract

A Petrov-Galerkin finite element formulation for first-order hyperbolic systems is developed generalizing the streamline approach which has been successfully applied previously to convection-diffusion and incompressible Navier-Stokes equations. The formulation is shown to possess desirable stability and accuracy properties.

The algorithm is applied to the Euler equations in conservation-law form and is shown to be effective in all cases studied, including ones with discontinuous solutions. Accurate and crisp representation of shock fronts in transonic problems is achieved.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Mechanical Engineering
Thesis Availability:Restricted to Caltech community only
Research Advisor(s):
  • Hughes, Thomas J. R.
Thesis Committee:
  • Unknown, Unknown
Defense Date:10 May 1982
Record Number:CaltechETD:etd-09112006-130749
Persistent URL:http://resolver.caltech.edu/CaltechETD:etd-09112006-130749
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:3460
Collection:CaltechTHESIS
Deposited By: Imported from ETD-db
Deposited On:27 Sep 2006
Last Modified:26 Dec 2012 03:00

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