Astronomy and Astrophysics – Astrophysics – High Energy Astrophysical Phenomena
Scientific paper
2010-07-16
Phys.Rev.D82:084031,2010
Astronomy and Astrophysics
Astrophysics
High Energy Astrophysical Phenomena
23 pages, 27 figures, submitted to Phys. Rev. D
Scientific paper
10.1103/PhysRevD.82.084031
We have written and tested a new general relativistic magnetohydrodynamics (GRMHD) code, capable of evolving MHD fluids in dynamical spacetimes with adaptive-mesh refinement (AMR). Our code solves the Einstein-Maxwell-MHD system of coupled equations in full 3+1 dimensions, evolving the metric via the Baumgarte-Shapiro Shibata-Nakamura (BSSN) formalism and the MHD and magnetic induction equations via a conservative, high-resolution shock-capturing scheme. The induction equations are recast as an evolution equation for the magnetic vector potential, which exists on a grid that is staggered with respect to the hydrodynamic and metric variables. The divergenceless constraint div(B)=0 is enforced by the curl of the vector potential. Our MHD scheme is fully compatible with AMR, so that fluids at AMR refinement boundaries maintain div(B)=0. In simulations with uniform grid spacing, our MHD scheme is numerically equivalent to a commonly used, staggered-mesh constrained-transport scheme. We present code validation test results, both in Minkowski and curved spacetimes. They include magnetized shocks, nonlinear Alfv\'en waves, cylindrical explosions, cylindrical rotating disks, magnetized Bondi tests, and the collapse of a magnetized rotating star. Some of the more stringent tests involve black holes. We find good agreement between analytic and numerical solutions in these tests, and achieve convergence at the expected order.
Etienne Zachariah B.
Liu Yuk Tung
Shapiro Stuart L.
No associations
LandOfFree
Relativistic magnetohydrodynamics in dynamical spacetimes: A new AMR implementation 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 Relativistic magnetohydrodynamics in dynamical spacetimes: A new AMR implementation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relativistic magnetohydrodynamics in dynamical spacetimes: A new AMR implementation will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-658095