ETH Zürich, Computational Physics for Engineering Materials, Institute for Building Materials, Schafmattstrasse 6, HIF, CH-8093 Zürich, Switzerland.
Phys Rev Lett. 2010 Jul 2;105(1):014502. doi: 10.1103/PhysRevLett.105.014502. Epub 2010 Jun 30.
A lattice Boltzmann formulation for relativistic fluids is presented and numerically validated through quantitative comparison with recent hydrodynamic simulations of relativistic fluids. In order to illustrate its capability to handle complex geometries, the scheme is also applied to the case of a three-dimensional relativistic shock wave, generated by a supernova explosion, impacting on a massive interstellar cloud. This formulation opens up the possibility of exporting the proven advantages of lattice Boltzmann methods, namely, computational efficiency and easy handling of complex geometries, to the context of (mildly) relativistic fluid dynamics at large, from quark-gluon plasmas up to supernovae with relativistic outflows.
提出了一种用于相对论流体的格子玻尔兹曼方法，并通过与相对论流体的最新流体动力学模拟的定量比较进行了数值验证。为了说明其处理复杂几何形状的能力，该方案还应用于超新星爆炸产生的三维相对论激波撞击大质量星际云的情况。这种方法为将格子玻尔兹曼方法的优势（即计算效率和处理复杂几何形状的简便性）扩展到（轻度）相对论流体动力学的大范围内提供了可能性，范围从夸克-胶子等离子体到具有相对论外流的超新星。
