论文标题
（2 + 1）尺寸的相对论稀有流的晶格玻尔兹曼方法
A Lattice Boltzmann Method for Relativistic Rarefied Flows in (2 + 1) Dimensions
论文作者
论文摘要
我们建议对最近开发的相对论晶格Boltzmann求解器（RLBM）进行扩展，该溶解器允许模拟接近自由流界限的流量。遵循先前的工作[物理学。 Rev. C 98（2018）035201]，我们通过分别离散径向和角组件来使用产品正交规则，并选择权重和节点。该过程促进了基于正交的RLBM的发展，以及各向同性水平的增加，从而提高了该方法的准确性，用于模拟流体动力学状态以外的流量。为了量化此离散程序对现有方法的改进，我们在整个动力学和自由流动限制的各种动力学方面的一个和两个空间维度中进行冲击波的数值测试。
We propose an extension to recently developed Relativistic Lattice Boltzmann solvers (RLBM), which allows the simulation of flows close to the free streaming limit. Following previous works [Phys. Rev. C 98 (2018) 035201], we use product quadrature rules and select weights and nodes by separately discretising the radial and the angular components. This procedure facilitates the development of quadrature-based RLBM with increased isotropy levels, thus improving the accuracy of the method for the simulation of flows beyond the hydrodynamic regime. In order to quantify the improvement of this discretisation procedure over existing methods, we perform numerical tests of shock waves in one and two spatial dimensions in various kinetic regimes across the hydrodynamic and the free-streaming limits.
