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dc.contributor.advisor Riviere, Beatrice M.
dc.creatorLi, Jizhou
dc.date.accessioned 2016-01-25T15:23:40Z
dc.date.available 2016-01-25T15:23:40Z
dc.date.created 2015-05
dc.date.issued 2015-04-20
dc.date.submitted May 2015
dc.identifier.citation Li, Jizhou. "High order discontinuous Galerkin methods for simulating miscible displacement process in porous media with a focus on minimal regularity." (2015) Diss., Rice University. https://hdl.handle.net/1911/88087.
dc.identifier.urihttps://hdl.handle.net/1911/88087
dc.description.abstract In my thesis, I formulate, analyze and implement high order discontinuous Galerkin methods for simulating miscible displacement in porous media. The analysis concerning the stability and convergence under the minimal regularity assumption is established to provide theoretical foundations for using discontinuous Galerkin discretization to solve miscible displacement problems. The numerical experiments demonstrate the robustness and accuracy of the proposed methods. The performance study for large scale simulations with highly heterogeneous porous media suggests strong scalability which indicates the efficiency of the numerical algorithm. The simulations performed using the algorithms for physically unstable flow show that higher order methods proposed in thesis are more suitable for simulating such phenomenon than the commonly used cell-center finite volume method.
dc.format.mimetype application/pdf
dc.language.iso eng
dc.subjectdiscontinuous Galerkin methods
miscible displacement
reservoir simulations
high performance computing
high order methods
viscous fingering
algebraic multigrid
domain decomposition
dc.title High order discontinuous Galerkin methods for simulating miscible displacement process in porous media with a focus on minimal regularity
dc.contributor.committeeMember Symes, William
dc.contributor.committeeMember Hirasaki, George
dc.contributor.committeeMember Warburton, Timothy
dc.contributor.committeeMember Heinkenschloss, Matthias
dc.date.updated 2016-01-25T15:23:40Z
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 Doctoral
thesis.degree.name Doctor of Philosophy


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