Relativistic MHD with Adaptive Mesh Refinement

Abstract

This paper presents a new computer code to solve the general relativistic magnetohydrodynamics (GRMHD) equations using distributed parallel adaptive mesh refinement (AMR). The fluid equations are solved using a finite difference Convex ENO method (CENO) in 3+1 dimensions, and the AMR is Berger-Oliger. Hyperbolic divergence cleaning is used to control the $\nabla \cdot \mathbf{B}=0$ constraint. We present results from three flat space tests, and examine the accretion of a fluid onto a Schwarzschild black hole, reproducing the Michel solution. The AMR simulations substantially improve performance while reproducing the resolution equivalent unigrid simulation results. Finally, we discuss strong scaling results for parallel unigrid and AMR runs.

24 pages, 14 figures, 3 tables

Cited by in corpus (16)

• Magnetic acceleration of relativistic AGN jets
• Magnetized Neutron Star Mergers and Gravitational Wave Signals
• General relativistic simulations of magnetized binary neutron star mergers
• Head-on collisions of boson stars
• Simulating binary neutron stars: dynamics and gravitational waves
• Magnetohydrodynamic Simulations of Disk Galaxy Formation: the Magnetization of The Cold and Warm Medium
• WHAM: A WENO-based general relativistic numerical scheme I: Hydrodynamics
• Multi-dimensional Numerical Scheme for Resistive Relativistic MHD
• "Meissner effect" and Blandford-Znajek mechanism in conductive black hole magnetospheres
• Perturbed disks get shocked. Binary black hole merger effects on accretion disks
• A multidimensional grid-adaptive relativistic magnetofluid code
• Towards a gauge-polyvalent Numerical Relativity code
• Collapse of magnetized hypermassive neutron stars in general relativity: Disk evolution and outflows
• Collapse and black hole formation in magnetized, differentially rotating neutron stars
• Constraint preserving boundary conditions for the Ideal Newtonian MHD equations
• Summary of GR18 Numerical Relativity parallel sessions (B1/B2 and B2), Sydney, 8-13 July 2007