Algorithmic Enhancements to the VULCAN Navier-Stokes Solver

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dc.contributor.advisor Dr. Jack R. Edwards, Committee Chair en_US
dc.contributor.advisor Dr. D. Scott McRae, Committee Member en_US
dc.contributor.advisor Dr. Ashok Gopalarathnam, Committee Member en_US Litton, Daniel en_US 2010-04-02T18:06:31Z 2010-04-02T18:06:31Z 2003-08-15 en_US
dc.identifier.other etd-08132003-230354 en_US
dc.description.abstract VULCAN (Viscous Upwind aLgorithm for Complex flow ANalysis) is a cell centered, finite volume code used to solve high speed flows related to hypersonic vehicles. Two algorithms are presented for expanding the range of applications of the current Navier-Stokes solver implemented in VULCAN. The first addition is a highly implicit approach that uses subiterations to enhance block to block connectivity between adjacent subdomains. The addition of this scheme allows more efficient solution of viscous flows on highly-stretched meshes. The second algorithm addresses the shortcomings associated with density-based schemes by the addition of a time-derivative preconditioning strategy. High speed, compressible flows are typically solved with density based schemes, which show a high level of degradation in accuracy and convergence at low Mach numbers (M < 0.1). With the addition of preconditioning and associated modifications to the numerical discretization scheme, the eigenvalues will scale with the local velocity, and the above problems will be eliminated. With these additions, VULCAN now has improved convergence behavior for multi-block, highly-stretched meshes and also can accurately solve the Navier-Stokes equations for very low Mach numbers. en_US
dc.rights I hereby certify that, if appropriate, I have obtained and attached hereto a written permission statement from the owner(s) of each third party copyrighted matter to be included in my thesis, dissertation, or project report, allowing distribution as specified below. I certify that the version I submitted is the same as that approved by my advisory committee. I hereby grant to NC State University or its agents the non-exclusive license to archive and make accessible, under the conditions specified below, my thesis, dissertation, or project report in whole or in part in all forms of media, now or hereafter known. I retain all other ownership rights to the copyright of the thesis, dissertation or project report. I also retain the right to use in future works (such as articles or books) all or part of this thesis, dissertation, or project report. en_US
dc.subject Navier-Stokes en_US
dc.subject Preconditioning en_US
dc.subject VULCAN en_US
dc.title Algorithmic Enhancements to the VULCAN Navier-Stokes Solver en_US MS en_US thesis en_US Aerospace Engineering en_US

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