Discontinuous Galerkin formulation for multi-component multiphase flow

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dc.contributor.advisorRiviere, Beatrice M.
dc.creatorHo, Christina
dc.date.accessioned2011-07-25T02:07:16Z
dc.date.available2011-07-25T02:07:16Z
dc.date.issued2010
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.
dc.format.mimetypeapplication/pdf
dc.identifier.callnoTHESIS MATH.SCI. 2010 HO
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>.
dc.identifier.urihttps://hdl.handle.net/1911/62184
dc.language.isoeng
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.
dc.subjectApplied mathematics
dc.subjectComputer science
dc.subjectApplied sciences
dc.titleDiscontinuous Galerkin formulation for multi-component multiphase flow
dc.typeThesis
dc.type.materialText
thesis.degree.departmentMathematical Sciences
thesis.degree.disciplineEngineering
thesis.degree.grantorRice University
thesis.degree.levelMasters
thesis.degree.nameMaster of Arts
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