dc.creator | Rosenberg, Duane | |
dc.creator | Pouquet, A. | |
dc.creator | Mininni, Pablo Daniel | |
dc.date.accessioned | 2019-01-09T17:17:28Z | |
dc.date.accessioned | 2022-10-15T05:44:14Z | |
dc.date.available | 2019-01-09T17:17:28Z | |
dc.date.available | 2022-10-15T05:44:14Z | |
dc.date.created | 2019-01-09T17:17:28Z | |
dc.date.issued | 2007-12 | |
dc.identifier | Rosenberg, Duane; Pouquet, A.; Mininni, Pablo Daniel; Adaptive mesh refinement with spectral accuracy for magnetohydrodynamics in two space dimensions; IOP Publishing; New Journal of Physics; 9; 8; 12-2007; 3041-30420 | |
dc.identifier | 1367-2630 | |
dc.identifier | http://hdl.handle.net/11336/67763 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4351223 | |
dc.description.abstract | We examine the effect of accuracy of high-order spectral element methods, with or without adaptive mesh refinement (AMR), in the context of a classical configuration of magnetic reconnection in two space dimensions, the so-called Orszag-Tang (OT) vortex made up of a magnetic X-point centred on a stagnation point of the velocity. A recently developed spectral-element adaptive refinement incompressible magnetohydrodynamic (MHD) code is applied to simulate this problem. The MHD solver is explicit, and uses the Elsässer formulation on high-order elements. It automatically takes advantage of the adaptive grid mechanics that have been described elsewhere in the fluid context (Rosenberg et al 2006 J. Comput. Phys. 21559-80); the code allows both statically refined and dynamically refined grids. Tests of the algorithm using analytic solutions are described, and comparisons of the OT solutions with pseudo-spectral computations are performed. We demonstrate for moderate Reynolds numbers that the algorithms using both static and refined grids reproduce the pseudo-spectral solutions quite well. We show that low-order truncation - even with a comparable number of global degrees of freedom - fails to correctly model some strong (sup-norm) quantities in this problem, even though it satisfies adequately the weak (integrated) balance diagnostics. © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. | |
dc.language | eng | |
dc.publisher | IOP Publishing | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1367-2630/9/8/304 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/openAccess | |
dc.title | Adaptive mesh refinement with spectral accuracy for magnetohydrodynamics in two space dimensions | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |