A coupled finite volume and discontinuous Galerkin method for convection-diffusion problems

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dc.contributor.advisorRiviere, Beatrice M.en_US
dc.creatorYang, Xinen_US
dc.date.accessioned2013-03-08T00:40:09Zen_US
dc.date.available2013-03-08T00:40:09Zen_US
dc.date.issued2012en_US
dc.description.abstractThis work formulates and analyzes a new coupled finite volume (FV) and discontinuous Galerkin (DG) method for convection-diffusion problems. DG methods, though costly, have proved to be accurate for solving convection-diffusion problems and capable of handling discontinuous and tensor coefficients. FV methods have proved to be very efficient but they are only of first order accurate and they become ineffective for tensor coefficient problems. The coupled method takes advantage of both the accuracy of DG methods in the regions containing heterogeneous coefficients and the efficiency of FV methods in other regions. Numerical results demonstrate that this coupled method is able to resolve complicated coefficient problems with a decreased computational cost compared to DG methods. This work can be applied to problems such as the transport of contaminant underground, the CO 2 sequestration and the transport of cells in the body.en_US
dc.format.extent104 p.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH.SCI. 2012 YANGen_US
dc.identifier.citationYang, Xin. "A coupled finite volume and discontinuous Galerkin method for convection-diffusion problems." (2012) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/70501">https://hdl.handle.net/1911/70501</a>.en_US
dc.identifier.digitalYangXen_US
dc.identifier.urihttps://hdl.handle.net/1911/70501en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectApplied sciencesen_US
dc.subjectApplied mathematicsen_US
dc.titleA coupled finite volume and discontinuous Galerkin method for convection-diffusion problemsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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