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A fourth-order finite volume algorithm with adaptive mesh refinement in space and time for multi-fluid plasma modeling

dc.contributor.authorPolak, Scott E., author
dc.contributor.authorGao, Xinfeng, advisor
dc.contributor.authorGuzik, Stephen, committee member
dc.contributor.authorTomasel, Fernando, committee member
dc.contributor.authorGhosh, Debojyoti, committee member
dc.contributor.authorBangerth, Wolfgang, committee member
dc.description2022 Spring.
dc.descriptionIncludes bibliographical references.
dc.description.abstractImproving our fundamental understanding of plasma physics using numerical methods is pivotal to the advancement of science and the continual development of cutting-edge technologies such as nuclear fusion reactions for energy production or the manufacturing of microelectronic devices. An elaborate and accurate approach to modeling plasmas using computational fluid dynamics (CFD) is the multi-fluid method, where the full set of fluid mechanics equations are solved for each species in the plasma simultaneously with Maxwell's equations in a coupled fashion. Nevertheless, multi-fluid plasma modeling is inherently multiscale and multiphysics, presenting significant numerical and mathematical stiffness. This research aims to develop an efficient and accurate multi-fluid plasma model using higher-order, finite-volume, solution-adaptive numerical methods. The algorithm developed herein is verified to be fourth-order accurate for electromagnetic simulations as well as those involving fully-coupled, multi-fluid plasma physics. The solutions to common plasma test problems obtained by the algorithm are validated against exact solutions and results from literature. The algorithm is shown to be robust and stable in the presence of complex solution topology and discontinuities, such as shocks and steep gradients. The optimizations in spatial discretization provided by the fourth-order algorithm and adaptive mesh refinement are demonstrated to improve the solution time by a factor of 10 compared to lower-order methods on fixed-grid meshes. This research produces an advanced, multi-fluid plasma modeling framework which allows for studying complex, realistic plasmas involving collisions and practical geometries.
dc.format.mediumborn digital
dc.format.mediumdoctoral dissertations
dc.publisherColorado State University. Libraries
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see
dc.subjectfinite-volume method
dc.subjectadaptive mesh refinement
dc.subjectnumerical model
dc.titleA fourth-order finite volume algorithm with adaptive mesh refinement in space and time for multi-fluid plasma modeling
dcterms.rights.dplaThis Item is protected by copyright and/or related rights ( You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). Engineering State University of Philosophy (Ph.D.)


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