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Pré-Publication, Document De Travail Année : 2021

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

Résumé

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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hal-03152812 , version 1 (05-04-2024)

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Anna Karina Fontes Gomes, Margarete Oliveira Domingues, Odim Mendes, Kai Schneider. Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics. 2024. ⟨hal-03152812⟩
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