A Reconstructed Discontinuous Galerkin Method for the Compressible Euler Equations on Arbitrary Grids

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dc.contributor.advisor Hong Luo, Committee Chair en_US
dc.contributor.advisor Hassan A. Hassan, Committee Member en_US
dc.contributor.advisor Jack R. Edwards, Committee Member en_US
dc.contributor.advisor Zhilin Li, Committee Member en_US
dc.contributor.author Luo, Luqing en_US
dc.date.accessioned 2010-08-19T18:18:45Z
dc.date.available 2010-08-19T18:18:45Z
dc.date.issued 2010-04-20 en_US
dc.identifier.other etd-12032009-162626 en_US
dc.identifier.uri http://www.lib.ncsu.edu/resolver/1840.16/6278
dc.description.abstract A reconstruction-based discontinuous Galerkin (RDG) method is presented for the solution of the compressible Euler equations on arbitrary grids. By taking advantage of handily available and yet invaluable information, namely the derivatives, in the context of the discontinuous Galerkin methods, a polynomial solution of one degree higher is reconstructed using a least-squares method. The stencils used in the reconstruction involve only the von Neumann neighborhood (face-neighboring cells) and are compact and consistent with the underlying DG method. The resulting RDG method can be regarded as an improvement of a recovery-based DG method, in the sense that it shares the same nice features, such as high accuracy and efficiency, and yet overcomes some of its shortcomings such as a lack of flexibility, compactness, and robustness. The developed RDG method is used to compute a variety of flow problems on arbitrary meshes to demonstrate its accuracy, efficiency, robustness, and versatility. The numerical results indicate that this RDG method is third-order accurate at a cost slightly higher than its underlying second-order DG method, at the same time providing a better performance than the third order DG method, in terms of both computing costs and storage requirements. 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, dis sertation, 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 arbitrary grids en_US
dc.subject Euler equations en_US
dc.subject RDG en_US
dc.title A Reconstructed Discontinuous Galerkin Method for the Compressible Euler Equations on Arbitrary Grids en_US
dc.degree.name MS en_US
dc.degree.level thesis en_US
dc.degree.discipline Aerospace Engineering en_US

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