Refinement and Development of the Finite Volume Discrete Boltzmann Method in 2-D and 3-D

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dc.contributor.advisorSchaefer, Lauraen_US
dc.creatorPetrosius, Timothy Edwarden_US
dc.date.accessioned2022-09-23T21:07:11Zen_US
dc.date.available2022-09-23T21:07:11Zen_US
dc.date.created2022-05en_US
dc.date.issued2022-04-15en_US
dc.date.submittedMay 2022en_US
dc.date.updated2022-09-23T21:07:12Zen_US
dc.description.abstractThe methods through which computational fluid dynamics (CFD) simulations may be solved have evolved rapidly in recent years. One such solution method that has gained traction is the discrete Boltzmann method (DBM), which builds upon the work performed in the development and study of the lattice Boltzmann method (LBM). While the LBM may be used for the efficient simulation of complex flows, it fails to accurately handle flows with complex geometries, such as curved boundaries. As such, the further discretization of the LBM into the DBM, and specifically the finite volume discrete Boltzmann method (FVDBM), has allowed for the development of an alternative to the LBM for complex simulation domains. In this work, a previously developed FVDBM solution on a cell-centered mesh is further studied and validated. The definition of a previously used stencil method is properly provided, and two unique stencils are developed and tested. From this study across flux schemes, simulated problems, and mesh resolutions, generalizations are made for the necessary future development of the FVDBM. Utilizing these insights, a novel three-dimensional FVDBM (3DFVDBM) is developed and validated on a cell-centered mesh. The meshing technique and conversion to three dimensions are outlined for this novel solver, and the validation is performed across a variety of physical problems. After validation, the 3DFVBM is then further verified through a mesh convergence study, and the analysis of several interpolation schemes for the three-dimensional boundary treatment is performed. Through this additional validation and testing, the major sources of error in the 3DFVDBM are confirmed and mitigated, such that the error is fully eliminated in simple cases. The refinement and development of the FVDBM in both two dimensions and three dimensions allows for the future accurate applications of these solvers to real-world problems.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationPetrosius, Timothy Edward. "Refinement and Development of the Finite Volume Discrete Boltzmann Method in 2-D and 3-D." (2022) Diss., Rice University. <a href="https://hdl.handle.net/1911/113320">https://hdl.handle.net/1911/113320</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/113320en_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.subjectfinite volumeen_US
dc.subjectlattice Boltzmann methoden_US
dc.subjectdiscrete Boltzmann methoden_US
dc.subjectmesh convergenceen_US
dc.subjectboundary treatmenten_US
dc.titleRefinement and Development of the Finite Volume Discrete Boltzmann Method in 2-D and 3-Den_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMechanical Engineeringen_US
thesis.degree.disciplineEngineeringen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
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