A new parabolized Navier-Stokes scheme for hypersonic reentry flows

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dc.contributor.authorBhutta, Bilal A.en
dc.contributor.committeechairLewis, Clark H.en
dc.contributor.committeememberSchetz, Joseph A.en
dc.contributor.committeememberGrossman, Bernarden
dc.contributor.committeememberJakubowski, Antoni K.en
dc.contributor.committeememberNeu, Wayneen
dc.contributor.departmentAerospace Engineeringen
dc.date.accessioned2015-05-14T16:36:06Zen
dc.date.available2015-05-14T16:36:06Zen
dc.date.issued1985en
dc.description.abstractHigh Mach number, low-Reynolds number (high-altitude) reentry flowfield predictions are an important problem area in computational aerothermodynamics. Available numerical tools for handling such flows are very few and significantly limited in their applicability. A new implicit fully-iterative Parabolized Navier-Stokes (PNS) scheme is developed to accurately predict such low-Reynolds number flows. In this new approach the differential equations governing the conservation of mass, momentum and energy, and the algebraic equation of state for a perfect gas are solved simultaneously in a coupled manner. The idea is presented that by treating the governing equations in this manner (rather than eliminating the pressure terms in the governing equations by using appropriate differentiated forms of the equation of state) it may be possible to have an unconditionally time-like numerical scheme. The stability of a simplified version of this new PNS scheme is also studied, and it is demonstrated that these simplified equations are unconditionally time-like in the subsonic as well as the supersonic flow regions. A pseudo-time integration approach is used in addition to a new second-order accurate fully-implicit smoothing, to improve the efficiency of the solution algorithm. The new PNS scheme is used to predict the flowfield around a seven-deg sphere-cone vehicle under high- and low-Reynolds number conditions. Two test case, Case A and Case B, are chosen such that Case A has a large freestream Reynolds number (2.92x10⁵), whereas Case B has a freestream Reynolds number of 1.72x10³, which is smaller than the usual limit of applicability of the non-iterative PNS schemes (Re~10⁴ or larger). Comparisons are made with other available numerical schemes, and the results substantiate the stability, accuracy and efficiency claims of the new Parabolized Navier-Stokes scheme.en
dc.description.degreePh. D.en
dc.format.extentxii, 161 leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/52287en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 12888753en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1985.B587en
dc.subject.lcshNavier-Stokes equations -- Numerical solutionsen
dc.subject.lcshAerodynamics, Hypersonic -- Mathematicsen
dc.subject.lcshAerothermodynamics -- Mathematicsen
dc.subject.lcshSpace vehicles -- Atmospheric entryen
dc.titleA new parabolized Navier-Stokes scheme for hypersonic reentry flowsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineAerospace Engineeringen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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