arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1504.07347astro-ph.IMastro-ph.CO
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基于Voronoi图的光滑粒子流体动力学粒子分裂

Particle splitting in smoothed particle hydrodynamics based on Voronoi diagram

Gen Chiaki, Naoki Yoshida

摘要:

提出了一种新的光滑粒子流体动力学模拟中的粒子分裂方法。我们的方法利用Voronoi图为一个给定的粒子集,以确定精细的子粒子的位置。我们进行了几个测试模拟,比较我们的方法与传统的分裂方法,其中的子粒子放置各向同性超过当地的平滑长度。我们表明,与我们的方法,分裂后的密度偏差减少了约2倍,与传统的方法相比。分裂将平滑各向异性的密度结构,如果女儿是各向同性分布,但我们的计划允许女儿粒子跟踪原始的密度分布与长度尺度的平均分离的父母。我们将粒子分裂应用于原始气体云坍缩的模拟。热演化精确地跟踪到氢数密度为10^12/cc。经过多步粒子分裂后,有效质量分辨率达到~10 ^-4 Msun,原恒星盘结构得到了很好的分辨。我们的结论是,该方法提供了一种有效的方法来模拟星际气体的演化和恒星的形成。

英文摘要:

We present a novel method for particle splitting in smoothed particle hydrodynamics simulations. Our method utilizes the Voronoi diagram for a given particle set to determine the position of fine daughter particles. We perform several test simulations to compare our method with a conventional splitting method in which the daughter particles are placed isotropically over the local smoothing length. We show that, with our method, the density deviation after splitting is reduced by a factor of about two compared with the conventional method. Splitting would smooth out the anisotropic density structure if the daughters are distributed isotropically, but our scheme allows the daughter particles to trace the original density distribution with length scales of the mean separation of their parent. We apply the particle splitting to simulations of the primordial gas cloud collapse. The thermal evolution is accurately followed to the hydrogen number density of 10^12 /cc. With the effective mass resolution of ~10^-4 Msun after the multi-step particle splitting, the protostellar disk structure is well resolved. We conclude that the method offers an efficient way to simulate the evolution of an interstellar gas and the formation of stars.

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