A Space-Time Expansion Discontinuous Galerkin Scheme With Local Time Stepping for the Ideal and Viscous MHD Equations

Autor:	Gregor J. Gassner, Christoph Altmann, Frieder Lörcher, Claus-Dieter Munz
Rok vydání:	2009
Předmět:	Physics Nuclear and High Energy Physics Space time Mathematical analysis Condensed Matter Physics Magnetic flux Vortex symbols.namesake Classical mechanics Riemann problem Discontinuous Galerkin method Physics::Space Physics symbols Magnetohydrodynamics Galerkin method Divergence (statistics)
Zdroj:	IEEE Transactions on Plasma Science. 37:513-519
ISSN:	1939-9375 0093-3813
DOI:	10.1109/tps.2009.2014869
Popis:	In this paper, we present the extension of the space-time expansion discontinuous Galerkin to handle ideal and viscous magnetohydrodynamics (MHD) equations. The local time-stepping strategy that this scheme is capable of allows each cell to have its own time step whereas the high order of accuracy in time is retained. This may significantly speed up calculations. The diffusive flux is evaluated through a so-called diffusive generalized Riemann problem. The divergence constraint of the MHD equations is addressed, and a hyperbolic cleaning method is shown that can be enhanced by utilizing the local time-stepping framework. MHD problems such as the Orszag-Tang vortex or the magnetic blast problem are performed to challenge the capabilities of the proposed space-time expansion scheme.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0221612a16dc3a93d10db6bbf78105cb https://doi.org/10.1109/tps.2009.2014869 Zobrazit plný text záznamu