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		<doi>10.1007/s10444-021-09845-y</doi>
		<issn>1019-7168</issn>
		<citationkey>GomesDomiMendSchn:2021:AdTwTh</citationkey>
		<title>Adaptive two- and three-dimensional multiresolution computations of resistive magnetohydrodynamics</title>
		<year>2021</year>
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		<secondarytype>PRE PI</secondarytype>
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		<author>Gomes, Anna Karina Fontes,</author>
		<author>Domingues, Margarete Oliveira,</author>
		<author>Mendes, Odim,</author>
		<author>Schneider, Kai,</author>
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		<affiliation>Instituto Nacional de Pesquisas Espaciais (INPE)</affiliation>
		<affiliation>Instituto Nacional de Pesquisas Espaciais (INPE)</affiliation>
		<affiliation>Instituto Nacional de Pesquisas Espaciais (INPE)</affiliation>
		<affiliation>Aix-Marseille Université (CNRS)</affiliation>
		<electronicmailaddress>anna.gomes@inpe.br</electronicmailaddress>
		<electronicmailaddress>margarete.domingues@inpe.br</electronicmailaddress>
		<electronicmailaddress>odim.mendes@inpe.br</electronicmailaddress>
		<journal>Advances in Computational Mathematics</journal>
		<volume>47</volume>
		<pages>e22</pages>
		<secondarymark>A1_MATEMÁTICA_/_PROBABILIDADE_E_ESTATÍSTICA A1_INTERDISCIPLINAR A2_DIREITO</secondarymark>
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		<abstract>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.</abstract>
		<area>COMP</area>
		<language>en</language>
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