We develop a general relativistic radiation magnetohydrodynamics (GR-RMHD) code inazuma in which the time-dependent radiation transfer equation (frequency-integrated Boltzmann equation) is solved in curved spacetime. The Eddington tensor is derived from the specific intensity, and we solve the zeroth and first moment equations in order to update the radiation fields. Therefore, our code can solve the radiation field around relativistic compact objects more appropriately than an approximation method like the M1 closure scheme. The numerical scheme of magnetohydrodynamics is the same as that of our previous code. In some test calculations for propagating radiation and radiation hydrodynamics in flat spacetime, our code shows similar results to our previous work. Radiation propagation in curved spacetime is also properly solved for. We also show the radiation transport from the super-Eddington accretion disk around the black hole. The disk structure, such a...

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基于求解网格的玻尔兹曼方程的广义相对论辐射磁流体动力学数值方案

我们开发了一种通用的相对论辐射磁流体动力学（GR-RMHD）代码inazuma，其中时变辐射传递方程（频率积分玻耳兹曼方程）在弯曲时空中求解。爱丁顿张量是从特定强度得出的，我们求解零阶矩和一阶矩方程，以更新辐射场。因此，我们的代码比M1封闭方案等近似方法更能解决相对论紧凑对象周围的辐射场。磁流体动力学的数值方案与我们先前的代码相同。在平坦时空中传播辐射和辐射流体动力学的一些测试计算中，我们的代码显示了与以前的工作类似的结果。弯曲时空中的辐射传播也可以得到适当解决。我们还显示了来自超级爱丁顿吸积盘的黑洞周围的辐射传输。磁盘结构，这样的...