%0 Journal Article
%4 sid.inpe.br/mtc-m21c/2021/02.25.17.06
%2 sid.inpe.br/mtc-m21c/2021/02.25.17.06.46
%@doi 10.1007/s10444-021-09845-y
%@issn 1019-7168
%T Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics
%D 2021
%9 journal article
%A Gomes, Anna Karina Fontes,
%A Domingues, Margarete Oliveira,
%A Mendes, Odim,
%A Schneider, Kai,
%@affiliation Instituto Nacional de Pesquisas Espaciais (INPE)
%@affiliation Instituto Nacional de Pesquisas Espaciais (INPE)
%@affiliation Instituto Nacional de Pesquisas Espaciais (INPE)
%@affiliation Aix-Marseille Université (CNRS)
%@electronicmailaddress anna.gomes@inpe.br
%@electronicmailaddress margarete.domingues@inpe.br
%@electronicmailaddress odim.mendes@inpe.br
%B Advances in Computational Mathematics
%V 47
%P e22
%X 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.
%@language en
%3 gomes_adaptive.pdf