论文标题

使用自适应网状精炼直接计算无限薄的气态磁盘的自我磨碎力

Direct Calculation of Self-Gravitational Force for Infinitesimally Thin Gaseous Disks Using Adaptive Mesh Refinement

论文作者

Tseng, Yao-Huan, Shang, Hsien, Yen, Chien-Chang

论文摘要

Yen等。 (2012年)采取了一种直接的方法,将自我授权力计算为基于均匀网格离散化的二阶精度。该方法通过使用内核函数的精确整合并采用快速傅立叶变换(FFT)来提高N体计算的准确性,从而将计算的复杂性降低至几乎是线性。这种直接方法没有人工边界条件,但是,适用性受网格统一的离散化的限制。我们在这里报告了直接方法的进步,并实施了自适应网格改进(AMR)并保持二阶精度,从而破坏了均匀的网格离散化设置的障碍。图形工艺单元(GPU)的采用可以显着加快计算的速度,并使这种方法可能在气态磁盘星系和原始磁盘的天体物理系统中应用。

Yen et al. (2012) advanced a direct approach for the calculation of self-gravitational force to second order accuracy based on uniform grid discretization. This method improves the accuracy of N-body calculation by using exact integration of kernel functions and employing the Fast Fourier Transform (FFT) to reduce complexity of computation to nearly linear. This direct approach is free of artificial boundary conditions, however, the applicability is limited by the uniform discretization of grids. We report here an advancement in the direct method with the implementation of adaptive mesh refinement (AMR) and maintaining second-order accuracy, which breaks the barrier set by uniform grid discretization. The adoption of graphic process units (GPUs) can significantly speed up the computation and make application of this method possible to astrophysical systems of gaseous disk galaxies and protoplanetary disks.

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