论文标题
参考度计算中的相对论辐射流体动力学
Relativistic radiation hydrodynamics in a reference-metric formulation
论文作者
论文摘要
我们采用两摩力的形式主义，以及一种参考金属方法，以一种非常适合在曲线坐标中的数值实现的形式表达相对论辐射流体动力学的方程。我们通过在光学厚的培养基中采用灰色不透明度来说明方法。作为数值演示，我们提出了两个测试问题的结果，即平坦的固定，平板对称溶液，包括冲击和加热的Oppenheimer-Snyder倒塌到黑洞。对于后者，我们仔细分析了从初始瞬态到频线后相的过渡，该阶段通过分析知名的扩散溶液很好地描述了。当在运动函数坐标中渲染时，我们讨论了数值解的属性。
We adopt a two-moment formalism, together with a reference-metric approach, to express the equations of relativistic radiation hydrodynamics in a form that is well-suited for numerical implementations in curvilinear coordinates. We illustrate the approach by employing a gray opacity in an optically thick medium. As numerical demonstrations we present results for two test problems, namely stationary, slab-symmetric solutions in flat spacetimes, including shocks, and heated Oppenheimer-Snyder collapse to a black hole. For the latter, we carefully analyze the transition from an initial transient to a post-transient phase that is well described by an analytically-known diffusion solution. We discuss the properties of the numerical solution when rendered in moving-puncture coordinates.
