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Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics

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arxiv 2102.11806 v1 pith:IEXNXBDP submitted 2021-02-23 math.NA cs.NAphysics.comp-phphysics.plasm-ph

Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics

Anna Karina Fontes Gomes , Margarete Oliveira Domingues , Odim Mendes , Kai Schneider This is my paper
classification math.NA cs.NAphysics.comp-phphysics.plasm-ph
keywords computationsadaptivemagneticmultiresolutionprecisionpresentedresistiveadaptation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Fully adaptive computations of the resistive magnetohydrodynamic (MHD) equations are presented in two and three space dimensions using a finite volume discretization on locally refined dyadic grids. Divergence cleaning is used to control the incompressibility constraint of the magnetic field. For automatic grid adaptation a cell-averaged multiresolution analysis is applied which guarantees the precision of the adaptive computations, while reducing CPU time and memory requirements. Implementation issues of the open source code CARMEN-MHD are discussed. To illustrate its precision and efficiency different benchmark computations including shock-cloud interaction and magnetic reconnection are presented.

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