Conservative general relativistic radiation hydrodynamics in spherical symmetry and comoving coordinates
Conservative general relativistic radiation hydrodynamics in spherical symmetry and comoving coordinates
复制标题
球对称和共动坐标下的保守广义相对论辐射流体动力学
DOI：
10.1103/physrevd.63.104003
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发表时间：
2000
影响因子：
5
通讯作者：
Friedrich
中科院分区：
文献类型：
--
作者：
M. Liebendoerfer;A. Mezzacappa;Friedrich
在自然坐标系下给出了球对称广义相对论辐射流体力学的描述。在流体力学中，选择了同动坐标系，并在四动量同动标架中描述了辐射粒子的动量相空间。我们还研究了描述的动量相空间中的粒子碰撞参数和能量在无穷远，并推导出一个简单的近似广义相对论玻尔兹曼方程。然而，进一步发展的是，在comoving坐标的精确方程，因为物质和辐射粒子之间的相互作用的描述是最好的描述在密切相关的正交基comoving与流体元素。我们实现了保守而简洁的辐射流体力学公式，非常适合通过多种方法进行数值实现。辐射的贡献的广义相对论跳跃条件在冲击波阵面进行了讨论，人为粘性始终包括在推导中，以支持依赖于这个选项的方法。
The description of general relativistic radiation hydrodynamics in spherical symmetry is presented in natural coordinate choices. For hydrodynamics, comoving coordinates are chosen and the momentum phase space for the radiation particles is described in comoving frame four-momenta. We also investigate a description of the momentum phase space in terms of the particle impact parameter and energy at infinity and derive a simple approximation to the general relativistic Boltzmann equation. Further developed are, however, the exact equations in comoving coordinates since the description of the interaction between matter and radiation particles is best described in the closely related orthonormal basis comoving with the fluid elements. We achieve a conservative and concise formulation of radiation hydrodynamics that is well suited for numerical implementation by a variety of methods. The contribution of radiation to the general relativistic jump conditions at shock fronts is discussed and artificial viscosity is consistently included in the derivations in order to support approaches relying on this option.