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Type of Document	Dissertation
Author	Tezduyar, Tayfun E.
URN	etd-09112006-130749
Persistent URL	http://resolver.caltech.edu/CaltechETD:etd-09112006-130749
Title	Finite element formulations for hyperbolic systems with particular emphasis on the compressible Euler equations
Degree	PhD
Option	Mechanical Engineering
Advisory Committee	Advisor Name Title Thomas J. R. Hughes Committee Chair
Keywords	none
Date of Defense	1982-05-10
Availability	restricted
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.
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