论文标题
$ \ bf {m} _1 $封闭
Multi-Frequency General Relativistic Radiation-Hydrodynamics with $\bf{M}_1$ Closure
论文作者
论文摘要
我们报告了最近对一般相对论辐射 - 磁性水力动力学代码Cosmos ++的升级，该代码++扩展了两击的$ \ bf {M} _1 $，从灰色到多频能运输，包括多普勒和引力频率转移。求解器可容纳光子（Bose-Einstein）或中微子（Fermi-Dirac）统计分布功能，具有吸收，发射和弹性散射过程。实施了一个隐式方案，以同时解决原始反转问题以及辐射耦合源项，从而在相互作用项可能僵硬的广泛不相位和光学深度上提供稳定性。我们讨论我们的配方和数值方法，并验证我们的方法，以跨越光学上的薄到厚度的各种测试问题，在扁平，弯曲且弯曲的空间很强的情况下。
We report on recent upgrades to our general relativistic radiation-magnetohydrodynamics code, Cosmos++, which expands the two-moment, $\bf{M}_1$, radiation treatment from grey to multi-frequency transport, including Doppler and gravitational frequency shifts. The solver accommodates either photon (Bose-Einstein) or neutrino (Fermi-Dirac) statistical distribution functions with absorption, emission, and elastic scattering processes. An implicit scheme is implemented to simultaneously solve the primitive inversion problem together with the radiation-matter coupling source terms, providing stability over a broad range of opacities and optical depths where the interactions terms can be stiff. We discuss our formulations and numerical methods, and validate our methods against a wide variety of test problems spanning optically thin to thick regimes in flat, weakly curved, and strongly curved spacetimes.
