A Cartesian finite-volume method for the Euler equations
| dc.contributor.author | Choi, Sang Keun | en |
| dc.contributor.committeechair | Grossman, Bernard | en |
| dc.contributor.committeemember | Schetz, Joseph A. | en |
| dc.contributor.committeemember | Mook, Dean T. | en |
| dc.contributor.committeemember | Neu, Wayne | en |
| dc.contributor.committeemember | Walters, Robert W. | en |
| dc.contributor.department | Aerospace Engineering | en |
| dc.date.accessioned | 2017-03-10T21:54:52Z | en |
| dc.date.available | 2017-03-10T21:54:52Z | en |
| dc.date.issued | 1987 | en |
| dc.description.abstract | A numerical procedure has been developed for the computation of inviscid flows over arbitrary, complex two-dimensional geometries. The Euler equations are solved using a finite-volume method with a non-body-fitted Cartesian grid. A new numerical formulation for complicated body geometries is developed in conjunction with implicit flux-splitting schemes. A variety of numerical computations have been performed to validate the numerical methodologies developed. Computations for supersonic flow over a flat plate with an impinging shock wave are used to verify the numerical algorithm, without geometric considerations. The supersonic flow over a blunt body is utilized to show the accuracy of the non-body-fitted Cartesian grid, along with the shock resolution of flux-vector splitting scheme. Geometric complexities are illustrated with the flow through a two-dimensional supersonic inlet with and without an open bleed door. The ability of the method to deal with subsonic and transonic flows is illustrated by computations over a non-lifting NACA 0012 airfoil. The method is shown to be accurate, efficient and robust and should prove to be particularly useful in a preliminary design mode, where flows past a wide variety of complex geometries can be computed without complicated grid generation procedures. | en |
| dc.description.degree | Ph. D. | en |
| dc.format.extent | xi, 89 leaves | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.uri | http://hdl.handle.net/10919/76511 | en |
| dc.language.iso | en_US | en |
| dc.publisher | Virginia Polytechnic Institute and State University | en |
| dc.relation.isformatof | OCLC# 16883757 | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.lcc | LD5655.V856 1987.C564 | en |
| dc.subject.lcsh | Euler angles | en |
| dc.subject.lcsh | Finite geometries | en |
| dc.title | A Cartesian finite-volume method for the Euler equations | en |
| dc.type | Dissertation | en |
| dc.type.dcmitype | Text | en |
| thesis.degree.discipline | Aerospace Engineering | en |
| thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
| thesis.degree.level | doctoral | en |
| thesis.degree.name | Ph. D. | en |
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