Citation
Tezduyar, Tayfun Ersin (1982) Finite Element Formulations for Hyperbolic Systems with Particular Emphasis on the Compressible Euler Equations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/994z-vj07. https://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.)) | ||||||||
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| Subject Keywords: | Mechanical Engineering | ||||||||
| Degree Grantor: | California Institute of Technology | ||||||||
| Division: | Engineering and Applied Science | ||||||||
| Major Option: | Mechanical Engineering | ||||||||
| Thesis Availability: | Public (worldwide access) | ||||||||
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| Defense Date: | 10 May 1982 | ||||||||
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| Record Number: | CaltechETD:etd-09112006-130749 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechETD:etd-09112006-130749 | ||||||||
| DOI: | 10.7907/994z-vj07 | ||||||||
| 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: | 02 Dec 2022 23:50 |
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