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A Lattice Kinetic Scheme with Grid Refinement for 3D Resistive Mangetohydrodynamics

dc.contributor.advisorDorland, William Den_US
dc.contributor.authorOsborn, Bryan Russellen_US
dc.description.abstractWe develop, analyze, and numerically test a 3D lattice kinetic scheme for the resistive magnetohydrodynamic (MHD) equations. This scheme is based on the square D3Q19 lattice for the fluid and the square D3Q7 lattice for the magnetic field. The scheme is shown to be consistent with the MHD equations in the low-Mach, high-beta limit. We numerically test the scheme in a pseudo-3D implementation by examining its reproduction of linear MHD eigenmodes as well as its performance on the non-linear Orszag-Tang problem. Results show that the waves are correctly reproduced and that the code has second-order convergence in time step and grid spacing. A multi-block refinement algorithm is then tested, and its convergence properties are examined for the non-linear Orszag-Tang problem. We conclude that this multi-block refinement algorithmpreviously only applied to hydrodynamic lattice kinetic schemescan be used in conjunction with MHD lattice kinetic schemes.en_US
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dc.titleA Lattice Kinetic Scheme with Grid Refinement for 3D Resistive Mangetohydrodynamicsen_US
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_US
dc.relation.isAvailableAtUniversity of Maryland (College Park, Md.)en_US
dc.contributor.departmentApplied Mathematics and Scientific Computationen_US
dc.subject.pqcontrolledPhysics, Fluid and Plasmaen_US
dc.subject.pquncontrolledlattice boltzmann methoden_US
dc.subject.pquncontrollednumerical methoden_US
dc.subject.pquncontrolledgrid refinementen_US

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