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dc.contributor.advisor Riviere, Beatrice M.
dc.creatorYang, Xin
dc.date.accessioned 2013-03-08T00:40:09Z
dc.date.available 2013-03-08T00:40:09Z
dc.date.issued 2012
dc.identifier.urihttps://hdl.handle.net/1911/70501
dc.description.abstract This 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.
dc.format.extent 104 p.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectApplied sciences
Applied mathematics
dc.title A coupled finite volume and discontinuous Galerkin method for convection-diffusion problems
dc.identifier.digital YangX
dc.type.genre Thesis
dc.type.material Text
thesis.degree.department Computational and Applied Mathematics
thesis.degree.discipline Engineering
thesis.degree.grantor Rice University
thesis.degree.level Masters
thesis.degree.name Master of Arts
dc.identifier.citation Yang, Xin. "A coupled finite volume and discontinuous Galerkin method for convection-diffusion problems." (2012) Master’s Thesis, Rice University. https://hdl.handle.net/1911/70501.


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