标题： 广义相对论磁流体动力学模拟与BAM：实现与代码比较 显示英文标题

标题： General Relativistic Magneto-Hydrodynamic Simulations with BAM: Implementation and Code Comparison

摘要： 双中子星并合是我们宇宙中最剧烈的事件之一，其动力学显著受到磁场的影响，尤其是在并合之后。虽然正确描述物理过程的数值相对论模拟对于建模其丰富的现象是必不可少的，但包含磁场对于现实模拟至关重要。因此，我们扩展了BAM代码，以启用采用双曲“散度清洁”方案的广义相对论磁流体动力学（GRMHD）模拟。我们展示了一组标准的GRMHD测试，并将BAM代码与其他GRMHD代码SPRITZ、GRaM-X和SACRA$_{\rm KK22}$进行比较，这些代码使用不同的磁场演化的方案。总体而言，我们发现BAM代码在简单的特殊相对论测试中表现出良好的性能。此外，当我们比较BAM和SACRA$_{\rm KK22}$的GRMHD模拟结果时，发现结果良好一致。 显示英文摘要

摘要： Binary neutron star mergers are among the most energetic events in our Universe, with magnetic fields significantly impacting their dynamics, particularly after the merger. While numerical-relativity simulations that correctly describe the physics are essential to model their rich phenomenology, the inclusion of magnetic fields is crucial for realistic simulations. For this reason, we have extended the BAM code to enable general relativistic magneto-hydrodynamic (GRMHD) simulations employing a hyperbolic `divergence cleaning' scheme. We present a large set of standard GRMHD tests and compare the BAM code to other GRMHD codes, SPRITZ, GRaM-X, and SACRA$_{\rm KK22}$, which employ different schemes for the evolution of the magnetic fields. Overall, we find that the BAM code shows a good performance in simple special-relativistic tests. In addition, we find good agreement and consistent results when comparing GRMHD simulation results between BAM and SACRA$_{\rm KK22}$.