论文标题

数值相对性的动量传输模型的比较

A comparison of momentum transport models for numerical relativity

论文作者

Duez, Matthew D., Knight, Alexander, Foucart, Francois, Haddadi, Milad, Jesse, Jerred, Hebert, Francois, Kidder, Lawrence E., Pfeiffer, Harald P., Scheel, Mark A.

论文摘要

非vacuum数值相对论,紧凑的二进制合并和恒星崩溃的主要问题涉及水磁稳定性和湍流,因此小尺度下的动能在大尺度上具有大规模的平均效果,可驱动世俗进化。这些效果中值得注意的是动量运输。我们研究了这种传输效果的两个模型,一种相对论的Navier-Stokes系统和一个湍流的压力模型,这些模型与已尝试治疗对二进制中性星星合并的亚网格效应的所有处方相似。我们的研究涉及稳定性分析和恒星和磁盘系统上的数值实验。我们还开始研究粒子和热传输对合并后模拟的影响。我们发现,正确处理湍流加热对于避免非物理不稳定性很重要。鉴于如此适当的处理,差异旋转的恒星的演变和磁盘的积聚速率对处方的选择不敏感。但是,即使对于相同的有效粘性强度,磁盘流出也可能对方法的选择敏感。我们还考虑了涡流扩散在积聚盘的演变中的影响,并表明它可以有趣地影响流出的组成。

The main problems of nonvacuum numerical relativity, compact binary mergers and stellar collapse, involve hydromagnetic instabilities and turbulent flows, so that kinetic energy at small scales have mean effects at large scale that drive the secular evolution. Notable among these effects is momentum transport. We investigate two models of this transport effect, a relativistic Navier-Stokes system and a turbulent mean stress model, that are similar to all of the prescriptions that have been attempted to date for treating subgrid effects on binary neutron star mergers and their aftermath. Our investigation involves both stability analysis and numerical experimentation on star and disk systems. We also begin the investigation of the effects of particle and heat transport on post-merger simulations. We find that correct handling of turbulent heating can be important for avoiding unphysical instabilities. Given such appropriate handling, the evolution of a differentially rotating star and the accretion rate of a disk are reassuringly insensitive to the choice of prescription. However, disk outflows can be sensitive to the choice of method, even for the same effective viscous strength. We also consider the effects of eddy diffusion in the evolution of an accretion disk and show that it can interestingly affect the composition of outflows.

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