A moving mesh BGK scheme for multi‐material flows
A moving mesh BGK scheme for multi‐material flows
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DOI：
10.1002/fld.2627
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发表时间：
2012-06
影响因子：
1.8
通讯作者：
Guoxi Ni;Song Jiang;Xihua Xu
中科院分区：
文献类型：
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作者：
Guoxi Ni;Song Jiang;Xihua Xu
本文提出了一种用于多物质流计算的移动网格BGK格式（MMBGK）。构建MMBGK的基本思想是将拉格朗日方法与每个单一材料区域内的无重映射ALE型动力学方法耦合，拉格朗日方法跟踪材料界面并保持界面清晰，其中动力学方法基于BGK（Bhatnagar-Gross-Krook）模型。在每个单个材料区域内，在移动网格上从显微镜颗粒的运动开发数值通量公式，并且通过要求网格适应精度和鲁棒性来确定网格速度，使得网格以扩散机制（速度）的方式朝向具有高流动梯度的区域移动，以调整相邻单元之间的距离，从而提高数值精度。为了保持材料界面的清晰度，仅在界面处构造拉格朗日速度和通量。因此，基于BGK方案的ALE型方法（即，MMBGK格式）。一维和二维的数值例子来说明MMBGK格式的精度和鲁棒性。版权所有© 2011约翰威利父子有限公司.
In this paper, a moving mesh BGK scheme (MMBGK) for multi‐material flow computations is proposed. The basic idea of constructing the MMBGK is to couple the Lagrangian method, which tracks material interfaces and keeps the interfaces sharp, with a remapping‐free ALE‐type kinetic method within each single material region, where the kinetic method is based on the BGK (Bhatnagar–Gross–Krook) model. Within each single material region, a numerical flux formulation is developed on moving meshes from motion of microscope particles, and the mesh velocity is determined by requiring both mesh adaptation for accuracy and robustness, such that the grids are moving towards to the regions with high flow gradients in a way of diffusive mechanism (velocity) to adjust the distances between neighboring cells, thus increasing the numerical accuracy. To keep the sharpness of material interfaces, the Lagrangian velocity and flux are constructed at the interfaces only. Consequently, a BGK‐scheme‐based ALE‐type method (i.e., the MMBGK scheme) for multi‐material flows is constructed. Numerical examples in one and two dimensions are presented to illustrate the accuracy and robustness of the MMBGK scheme. Copyright © 2011 John Wiley & Sons, Ltd.