光滑粒子流体动力学：Turbulence和MHD
Smoothed Particle Hydrodynamics: Turbulence and MHD
摘要：
本文讨论了光滑粒子流体动力学（SPH）方法在星际介质超声速湍流模拟中的应用，并对SPH方法求解磁流体动力学（MHD）方程的最新算法进展作了介绍。使用高分辨率计算（高达1.34亿个粒子），我们发现在一系列测量上与基于网格的结果非常一致，包括速度场和密度加权速度rho^（1/3）v的功率谱斜率，后者显示出Kritsuk等人（2007）提出的类似于Kolmogorov的k^-5/3标度。我们还发现概率分布函数（PDF）和结构函数的统计数据非常一致，独立地证实了Schmidt，Federrath和Klessen（2008）发现的标度。在光滑粒子磁流体动力学（SPMHD），我们最近浪费了大量的时间和精力调查矢量势作为替代欧拉势制定，在最后得出结论，使用矢量势甚至比标准（基于B场）SPMHD方法更严重的问题。
英文摘要：
In this paper we discuss recent applications of the Smoothed Particle Hydrodynamics (SPH) method to the simulation of supersonic turbulence in the interstellar medium, as well as giving an update on recent algorithmic developments in solving the equations of magnetohydrodynamics (MHD) in SPH. Using high resolution calculations (up to 134 million particles), we find excellent agreement with grid-based results on a range of measures including the power spectrum slope in both the velocity field and the density-weighted velocity rho^(1/3) v, the latter showing a Kolmogorov-like k^-5/3 scaling as proposed by Kritsuk et al. (2007). We also find good agreement on the statistics of the Probability Distribution Function (PDF) and structure functions, independently confirming the scaling found by Schmidt, Federrath & Klessen (2008). On Smoothed Particle Magnetohydrodynamics (SPMHD) we have recently wasted a great deal of time and effort investigating the vector potential as an alternative to the Euler potentials formulation, in the end concluding that using the vector potential has even more severe problems than the standard (B-field based) SPMHD approach.
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