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首页> 外文期刊>The Astrophysical Journal. Supplement Series >TESS: A relativistic hydrodynamics code on a moving Voronoi mesh
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TESS: A relativistic hydrodynamics code on a moving Voronoi mesh

机译：TESS：在移动的Voronoi网格上的相对论流体力学代码

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摘要

We have generalized a method for the numerical solution of hyperbolic systems of equations using a dynamic Voronoi tessellation of the computational domain. The Voronoi tessellation is used to generate moving computational meshes for the solution of multidimensional systems of conservation laws in finite-volume form. The mesh-generating points are free to move with arbitrary velocity, with the choice of zero velocity resulting in an Eulerian formulation. Moving the points at the local fluid velocity makes the formulation effectively Lagrangian. We have written the TESS code to solve the equations of compressible hydrodynamics and magnetohydrodynamics for both relativistic and non-relativistic fluids on a dynamic Voronoi mesh. When run in Lagrangian mode, TESS is significantly less diffusive than fixed mesh codes and thus preserves contact discontinuities to high precision while also accurately capturing strong shock waves. TESS is written for Cartesian, spherical, and cylindrical coordinates and is modular so that auxiliary physics solvers are readily integrated into the TESS framework and so that this can be readily adapted to solve general systems of equations. We present results from a series of test problems to demonstrate the performance of TESS and to highlight some of the advantages of the dynamic tessellation method for solving challenging problems in astrophysical fluid dynamics.
机译：我们使用计算域的动态Voronoi细分概括了一种双曲方程组数值解的方法。 Voronoi细分用于生成有限体积形式的守恒律多维系统解的移动计算网格。网格生成点可以任意速度自由移动，零速度的选择导致欧拉公式。以局部流体速度移动这些点使该公式有效地成为拉格朗日方程。我们已经编写了TESS代码，以求解动态Voronoi网格上相对论和非相对论流体的可压缩流体动力学和磁流体动力学方程。当以拉格朗日模式运行时，TESS的扩散性要比固定网状代码低得多，因此可以保持接触间断达到高精度，同时还可以精确捕获强冲击波。 TESS是为笛卡尔，球面和圆柱坐标编写的，并且是模块化的，因此辅助物理求解器可以轻松集成到TESS框架中，并且可以轻松地用于求解一般的方程组。我们提出了一系列测试问题的结果，以证明TESS的性能，并强调了动态细分方法在解决天体物理流体动力学难题方面的优势。

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