$\bf{M}_1$封闭的多频广义相对论辐射流体力学
Multi-Frequency General Relativistic Radiation-Hydrodynamics with $\bf{M}_1$ Closure
摘要：
我们报告最近升级到我们的广义相对论辐射磁流体动力学代码，宇宙++，它扩大了两个时刻，$\bf{M}_1$，辐射治疗从灰色到多频运输，包括多普勒和引力频移。求解器可容纳光子（玻色-爱因斯坦）或中微子（费米-狄拉克）的统计分布函数与吸收，发射和弹性散射过程。一个隐式的计划，同时解决原始反演问题连同辐射物质耦合源项，提供稳定性在广泛的不透明度和光学深度的相互作用项可以是刚性的。我们讨论了我们的配方和数值方法，并验证我们的方法对各种各样的测试问题，跨越光学薄厚制度平坦，弱弯曲，强弯曲的时空。
英文摘要：
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.
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