Supersonic conical flow computations using a rectangular finite volume method

dc.contributor.authorWhitaker, David Leeen
dc.contributor.departmentAerospace Engineeringen
dc.date.accessioned2020-12-14T17:48:27Zen
dc.date.available2020-12-14T17:48:27Zen
dc.date.issued1986en
dc.description.abstractA method is developed to solve the conical flow equations in spherical coordinates using a rectangular finite volume approach. The only mapping done is the mapping of the spherical solution surface to that of a flat plane using a stereographic projection. The mapped plane is then discretised into rectangular finite volumes. The rectangular volumes are allowed to intersect the body surface in an arbitrary manner. A full potential formulation is used to represent the flow-field velocities. The full potential formulation prevents the formation of vortices in the flow-field but all other essential features of the supersonic conical flow are resolved. An upwind density shift is used to introduce an artificial viscosity in a conservative manner to eliminate non-physical expansion shocks and add numerical damping. The rectangular finite volume method is then extended to deal with infinitely thin conical fins. Numerical tests of cones, elliptical cones, conical wing-bodies and waveriders (with very thin winglets) have been done. Very good agreement with experimental results is found.en
dc.description.degreeM.S.en
dc.format.extentix, 78 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/101335en
dc.language.isoenen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 13978216en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V855 1986.W547en
dc.subject.lcshAerodynamics, Supersonic -- Data processingen
dc.subject.lcshAerodynamics, Supersonic -- Mathematical modelsen
dc.titleSupersonic conical flow computations using a rectangular finite volume methoden
dc.typeThesisen
dc.type.dcmitypeTexten
thesis.degree.disciplineAerospace Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameM.S.en

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