Yin-Yang-Zhong grid: An overset grid system for a sphere
Yin-Yang-Zhong grid: An overset grid system for a sphere
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DOI：
10.1016/j.jcp.2015.11.016
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发表时间：
2016-01
期刊：
影响因子：
--
通讯作者：
H. Hayashi;A. Kageyama
中科院分区：
文献类型：
--
作者：
H. Hayashi;A. Kageyama
对于球内的数值模拟，本文提出了一种重叠网格系统--阴阳钟网格。阴阳钟网格是阴阳网格的扩展，广泛应用于球壳几何的各种模拟中。阴阳网格本身是一个重叠的网格系统，有两个组成网格，一个新的组成网格称为钟被放置在阴阳网格的中心。在直角坐标系下构造了中网格构件。并行化本质上嵌入在阴阳中网格系统中，因为中网格点是用长方体块定义的，长方体块是用于并行化的分解域。计算效率随着进程数的增加而趋于最优。在阴阳钟网格下对一个球内扩散问题进行了定量的试验模拟。通过模拟得到了正确的衰减率。另外两个测试磁流体动力学（MHD）在一个球也进行。一个是MHD发电机模拟，另一个是球内MHD弛豫模拟。
For numerical simulations inside a sphere, an overset grid system, Yin–Yang–Zhong grid, is proposed. The Yin–Yang–Zhong grid is an extension of the Yin–Yang grid, which is widely used in various simulations in spherical shell geometry. The Yin–Yang grid is itself an overset grid system with two component grids, and a new component grid called Zhong is placed at the center of the Yin–Yang grid. The Zhong grid component is constructed on Cartesian coordinates. Parallelization is intrinsically embedded in the Yin–Yang–Zhong grid system because the Zhong grid points are defined with cuboid blocks that are decomposed domains for parallelization. The computational efficiency approaches the optimum as the process number increases. Quantitative test simulations are performed for a diffusion problem in a sphere with the Yin–Yang–Zhong grid. Correct decay rates are obtained by the simulations. Two other tests in magnetohydrodynamics (MHD) in a sphere are also performed. One is an MHD dynamo simulation, and the other is an MHD relaxation simulation in a sphere.