Discontinuous Galerkin formulation for multi-component multiphase flow

dc.contributor.advisorRiviere, Beatrice M.en_US
dc.creatorHo, Christinaen_US
dc.date.accessioned2011-07-25T02:07:16Zen_US
dc.date.available2011-07-25T02:07:16Zen_US
dc.date.issued2010en_US
dc.description.abstractThe understanding of multiphase multi-component transport in capillary porous media plays an important role in scientific and engineering disciplines such as the petroleum and environmental industries. The two most commonly used tools to model multiphase multi-component flow are finite difference and finite volume methods. While these are well-established methods, they either fail to provide stability on unstructured meshes or they yield low order approximation. In this thesis, a presentation of both fully coupled and sequential discontinuous Galerkin (DG) formulations for the multiphase multi-component flow is given. Two physical models are examined: the black oil model and the CO2 sequestration model. The attractive attribute of using DG is that it permits the use of unstructured meshes while maintaining high order accuracy. Furthermore, the method can be structured to ensure mass conservation, which is another appealing feature when one is dealing with fluid dynamic problems.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.callnoTHESIS MATH.SCI. 2010 HOen_US
dc.identifier.citationHo, Christina. "Discontinuous Galerkin formulation for multi-component multiphase flow." (2010) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/62184">https://hdl.handle.net/1911/62184</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/62184en_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 mathematicsen_US
dc.subjectComputer scienceen_US
dc.subjectApplied sciencesen_US
dc.titleDiscontinuous Galerkin formulation for multi-component multiphase flowen_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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