用粒子模拟天体物理流体
Modelling astrophysical fluids with particles
摘要:
计算流体动力学是从理论上探索宇宙的重要工具。在过去的十年中,我们已经看到了大量的方法多样化,在最初不同的方法之间进行了一些交叉。在这里,我们专注于最近的发展有关的光滑粒子流体动力学(SPH)方法。我们简要总结了最近的技术改进SPH方法本身,包括平滑内核,梯度计算和耗散转向。这些元素已被实施在牛顿高精度SPH代码MAGMA2,我们证明了它的性能在一些具有挑战性的基准测试。更进一步,我们还在第一个基于粒子的广义相对论流体动力学代码SPHINCS_BSSN中使用了这些新成分,该代码解决了爱因斯坦方程的全部集合。我们提出的基本思想和方程,并证明了代码的性能在相对论性中子星的演化自洽与时空的例子。
英文摘要:
Computational fluid dynamics is a crucial tool to theoretically explore the cosmos. In the last decade, we have seen a substantial methodological diversification with a number of cross-fertilizations between originally different methods. Here we focus on recent developments related to the Smoothed Particle Hydrodynamics (SPH) method. We briefly summarize recent technical improvements in the SPH-approach itself, including smoothing kernels, gradient calculations and dissipation steering. These elements have been implemented in the Newtonian high-accuracy SPH code MAGMA2 and we demonstrate its performance in a number of challenging benchmark tests. Taking it one step further, we have used these new ingredients also in the first particle-based, general-relativistic fluid dynamics code that solves the full set of Einstein equations, SPHINCS_BSSN. We present the basic ideas and equations and demonstrate the code performance at examples of relativistic neutron stars that are evolved self-consistently together with the spacetime.
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