Adaptive mesh refinement with spectral accuracy for magnetohydrodynamics in two space dimensions

Details Adaptive mesh refinement with spectral accuracy for magnetohydrodynamics in two space dimensions Adaptive mesh refinement with spectral accuracy for magnetohydrodynamics in two space dimensions

2007-03-02

arxiv.org/abs/physics/0703024v1

Physics

Fluid Dynamics

19 pages, 10 figures, 1 table. Submitted to New Journal of Physics

Scientific paper

10.1088/1367-2630/9/8/304

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 vortex made up of a magnetic X-point centered 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 Elsasser formulation on high-order elements. It automatically takes advantage of the adaptive grid mechanics that have been described elsewhere in the fluid context [Rosenberg, Fournier, Fischer, Pouquet, J. Comp. Phys. 215, 59-80 (2006)]; the code allows both statically refined and dynamically refined grids. Tests of the algorithm using analytic solutions are described, and comparisons of the Orszag-Tang 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.

Affiliated with

Also associated with

No associations

Rating

Adaptive mesh refinement with spectral accuracy for magnetohydrodynamics in two space dimensions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Adaptive mesh refinement with spectral accuracy for magnetohydrodynamics in two space dimensions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Adaptive mesh refinement with spectral accuracy for magnetohydrodynamics in two space dimensions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-284989