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arXiv 0903.5075astro-ph.IM
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天体物理学光滑粒子流体动力学

Astrophysical Smooth Particle Hydrodynamics

Stephan Rosswog

摘要:

本文详细介绍了光滑粒子流体动力学(SPH)方法,特别是侧重于它的天体物理应用。我们首先介绍基本的思想和概念,从而概述了在一个工作的SPH代码的方法的实际实现所必需的所有成分。SPH的成功很大程度上依赖于其优良的守恒性质,因此物理不变量的数值守恒在整个审查中受到了很大的关注。从理想流体的拉格朗日量推导SPH方程的自洽性是本书其余部分的共同主题。我们从理想流体的拉格朗日量中推导出一个现代的牛顿SPH公式。它占的局部分辨率长度的变化,导致纠正,所谓的“梯度h项”。我们将这一策略推广到狭义相对论,并推导出相应的梯度h方程组。变分方法进一步适用于广义相对论流体在一个固定的,弯曲的背景时空演变。特别注意以连贯的方式显式导出所有相关方程。

英文摘要:

The paper presents a detailed review of the smooth particle hydrodynamics (SPH) method with particular focus on its astrophysical applications. We start by introducing the basic ideas and concepts and thereby outline all ingredients that are necessary for a practical implementation of the method in a working SPH code. Much of SPH's success relies on its excellent conservation properties and therefore the numerical conservation of physical invariants receives much attention throughout this review. The self-consistent derivation of the SPH equations from the Lagrangian of an ideal fluid is the common theme of the remainder of the text. We derive a modern, Newtonian SPH formulation from the Lagrangian of an ideal fluid. It accounts for changes of the local resolution lengths which result in corrective, so-called "grad-h-terms". We extend this strategy to special relativity for which we derive the corresponding grad-h equation set. The variational approach is further applied to a general-relativistic fluid evolving in a fixed, curved background space-time. Particular care is taken to explicitely derive all relevant equations in a coherent way.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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