Pore-scale Simulation of Fluid Flow Using Discontinuous Galerkin Methods

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dc.contributor.advisorRiviere, Beatriceen_US
dc.creatorLiu, Chenen_US
dc.date.accessioned2017-08-07T18:05:22Zen_US
dc.date.available2017-08-07T18:05:22Zen_US
dc.date.created2016-05en_US
dc.date.issued2016-04-26en_US
dc.date.submittedMay 2016en_US
dc.date.updated2017-08-07T18:05:22Zen_US
dc.description.abstractThis dissertation concentrates on pore-scale Newtonian fluid flow simulation in three-dimensions. One-component single-phase compressible Navier-Stokes equations are considered as governing equations. Interior penalty discontinuous Galerkin (DG) methods are chosen for numerical discretization. Mass balance equation and momentum balance equations are coupled by fixed-point iteration. The DG methods in this thesis are defined on voxel sets representing the pore space of rock samples at micrometer scale. The methods exhibit optimal convergence and the simulated velocity fields compare well against the ones yielded by analytical solutions for simple geometries. The DG-based simulator also delivers intuitive velocity fields for complex pore geometries.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationLiu, Chen. "Pore-scale Simulation of Fluid Flow Using Discontinuous Galerkin Methods." (2016) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/96614">https://hdl.handle.net/1911/96614</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/96614en_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.subjectNavier-Stokes equationen_US
dc.subjectdiscontinuous Galerkin methodsen_US
dc.subjectfixed-point iterationen_US
dc.subjectpore-scale simulationen_US
dc.titlePore-scale Simulation of Fluid Flow Using Discontinuous Galerkin Methodsen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentComputational and Applied Mathematicsen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.nameMaster of Artsen_US
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