High order discontinuous Galerkin methods for simulating miscible displacement process in porous media with a focus on minimal regularity

Simple item page
dc.contributor.advisorRiviere, Beatrice M.en_US
dc.contributor.committeeMemberSymes, Williamen_US
dc.contributor.committeeMemberHirasaki, Georgeen_US
dc.contributor.committeeMemberWarburton, Timothyen_US
dc.contributor.committeeMemberHeinkenschloss, Matthiasen_US
dc.creatorLi, Jizhouen_US
dc.date.accessioned2016-01-25T15:23:40Zen_US
dc.date.available2016-01-25T15:23:40Zen_US
dc.date.created2015-05en_US
dc.date.issued2015-04-20en_US
dc.date.submittedMay 2015en_US
dc.date.updated2016-01-25T15:23:40Zen_US
dc.description.abstractIn 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.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationLi, Jizhou. "High order discontinuous Galerkin methods for simulating miscible displacement process in porous media with a focus on minimal regularity." (2015) Diss., Rice University. <a href="https://hdl.handle.net/1911/88087">https://hdl.handle.net/1911/88087</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/88087en_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.subjectdiscontinuous Galerkin methodsen_US
dc.subjectmiscible displacementen_US
dc.subjectreservoir simulationsen_US
dc.subjecthigh performance computingen_US
dc.subjecthigh order methodsen_US
dc.subjectviscous fingeringen_US
dc.subjectalgebraic multigriden_US
dc.subjectdomain decompositionen_US
dc.titleHigh order discontinuous Galerkin methods for simulating miscible displacement process in porous media with a focus on minimal regularityen_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.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
LI-DOCUMENT-2015.pdf
Size:
9.93 MB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 2 of 2
No Thumbnail Available
Name:
PROQUEST_LICENSE.txt
Size:
5.84 KB
Format:
Plain Text
Description:
Download
No Thumbnail Available
Name:
LICENSE.txt
Size:
2.6 KB
Format:
Plain Text
Description:
Download
Collections
Rice University Theses and Dissertations