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dc.contributor.advisorHeinrich, Juan C.en_US
dc.contributor.authorBrueckner, Frank Peter.
dc.creatorBrueckner, Frank Peter.en_US
dc.date.accessioned2011-10-31T17:37:06Z
dc.date.available2011-10-31T17:37:06Z
dc.date.issued1991en_US
dc.identifier.urihttp://hdl.handle.net/10150/185417
dc.description.abstractA Petrov-Galerkin method for the solution of the compressible Euler and Navier-Stokes equations is presented. The method is based on the introduction of an anisotropic balancing diffusion in the local direction of the propogation of the scalar variables. The direction in which the diffusion is added and its magnitude are automatically calculated locally using a criterion that is optimal for one-dimensional transport equations. Algorithms are developed using bilinear quadrilateral and linear triangular elements. The triangular elements are used in conjunction with an adaptive scheme using unstructured meshes. Several applications are presented that show the exceptional stability and accuracy of the method, including the ram accelerator concept for the acceleration of projectiles to ultrahigh velocities. Both two-dimensional and axisymmetric models are employed to evaluate multiple projectile configurations and flow conditions.
dc.language.isoenen_US
dc.publisherThe University of Arizona.en_US
dc.rightsCopyright © is held by the author. Digital access to this material is made possible by the University Libraries, University of Arizona. Further transmission, reproduction or presentation (such as public display or performance) of protected items is prohibited except with permission of the author.en_US
dc.subjectDissertations, Academicen_US
dc.subjectNavier-Stokes equationsen_US
dc.subjectFluid dynamics -- Mathematical modelsen_US
dc.titleFinite element analysis of high-speed flows with application to the ram accelerator concept.en_US
dc.typetexten_US
dc.typeDissertation-Reproduction (electronic)en_US
dc.identifier.oclc709776031en_US
thesis.degree.grantorUniversity of Arizonaen_US
thesis.degree.leveldoctoralen_US
dc.contributor.committeememberSears, William R.en_US
dc.contributor.committeememberBalsa, Thomas F.en_US
dc.contributor.committeememberBayly, Bruceen_US
dc.identifier.proquest9123469en_US
thesis.degree.disciplineAerospace and Mechanical Engineeringen_US
thesis.degree.disciplineGraduate Collegeen_US
thesis.degree.namePh.D.en_US
dc.description.noteThis item was digitized from a paper original and/or a microfilm copy. If you need higher-resolution images for any content in this item, please contact us at repository@u.library.arizona.edu.
dc.description.admin-noteOriginal file replaced with corrected file August 2023.
refterms.dateFOA2018-06-28T20:34:12Z
html.description.abstractA Petrov-Galerkin method for the solution of the compressible Euler and Navier-Stokes equations is presented. The method is based on the introduction of an anisotropic balancing diffusion in the local direction of the propogation of the scalar variables. The direction in which the diffusion is added and its magnitude are automatically calculated locally using a criterion that is optimal for one-dimensional transport equations. Algorithms are developed using bilinear quadrilateral and linear triangular elements. The triangular elements are used in conjunction with an adaptive scheme using unstructured meshes. Several applications are presented that show the exceptional stability and accuracy of the method, including the ram accelerator concept for the acceleration of projectiles to ultrahigh velocities. Both two-dimensional and axisymmetric models are employed to evaluate multiple projectile configurations and flow conditions.


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