An Investigation into the Stability Limits and Accuracy of the SRT, TRT, and MRT Collision Models in the Lattice Boltzmann Method

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dc.contributor.advisorSchaefer, Laura Aen_US
dc.creatorNemer, Mohamed Nazimen_US
dc.date.accessioned2019-05-17T15:17:47Zen_US
dc.date.available2019-05-17T15:17:47Zen_US
dc.date.created2018-05en_US
dc.date.issued2018-04-19en_US
dc.date.submittedMay 2018en_US
dc.date.updated2019-05-17T15:17:47Zen_US
dc.description.abstractMultiphase flow in porous media is found in a variety of engineering problems, including those technologies focused on satisfying the energy needs of an expanding global population whilst minimizing the effects of human activity on climate change. The lattice Boltzmann method (LBM), a kinetics-based method, has displayed potential in simulating multiphase flow in geometrically complex porous media. In this work, the stability and accuracy of three popular collision models within the LBM will be investigated using standard single-phase benchmark tests. In the context of porous media, the permeability of a defined flow will also be determined using the three collision models. Higher stability limits and accuracy are observed for the multiple relaxation time collision model over the two other collision models investigated due to the ability to separately relax the moments corresponding to the problem physics.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationNemer, Mohamed Nazim. "An Investigation into the Stability Limits and Accuracy of the SRT, TRT, and MRT Collision Models in the Lattice Boltzmann Method." (2018) Master’s Thesis, Rice University. <a href="https://hdl.handle.net/1911/105763">https://hdl.handle.net/1911/105763</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/105763en_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.subjectLBMen_US
dc.subjectMultiphase flowen_US
dc.subjectBGKen_US
dc.subjectSRTen_US
dc.subjectTRTen_US
dc.subjectMRTen_US
dc.subjectPorous Mediaen_US
dc.titleAn Investigation into the Stability Limits and Accuracy of the SRT, TRT, and MRT Collision Models in the Lattice Boltzmann Methoden_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMechanical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelMastersen_US
thesis.degree.majorFlow in Porous Mediaen_US
thesis.degree.nameMaster of Scienceen_US
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