Adaptive moment-of-fluid method
Adaptive moment-of-fluid method
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DOI：
10.1016/j.jcp.2008.12.031
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发表时间：
2009-05-01
影响因子：
4.1
通讯作者：
Shashkov, Mikhail
中科院分区：
文献类型：
--
作者：
Ahn, Hyung Taek;Shashkov, Mikhail
提出了一种新的基于流体矩(MOF)方法的自适应网格加密(AMR)策略，用于演化界面的体积跟踪。流体矩方法是一种利用体积分数和材料质心进行界面重建和体积平流的新方法。网格加密判据是基于界面重构得到的实际质心与矩平流过程给出的参考质心的偏差。质心误差指示器不仅检测高曲率区域，还检测具有复杂亚细胞结构的区域，如细丝。提出了一种新的平流矩的拉格朗日+重映射方法，包括拉格朗日回溯、基于多边形交的重映射和正向跟踪以确定材料质心。用Zalesak圆盘和可逆涡等经典试验问题验证了AMR-MOF方法的有效性。与已发表的这些问题的结果比较表明，AMR-MOF方法比其他方法具有更高的精度。此外，还引入了两个新的具有严重变形速率的算例，即液滴变形问题和S形状变形问题，以进一步验证AMR-MOF方法的能力。(C)2009 Elsevier Inc.保留所有权利。
A novel adaptive mesh refinement (AMR) strategy based on the moment-of-fluid (MOF) method for volume-tracking of evolving interfaces is presented. Moment-of-fluid method is a new interface reconstruction and volume advection method using volume fractions as well as material centroids. The mesh refinement criterion is based on the deviation of the actual centroid obtained by interface reconstruction from the reference centroid given by moment advection process. The centroid error indicator detects not only high curvature regions but also regions with complicated subcell structures like filaments. A new Lagrange + remap scheme is presented for advecting moments, which includes Lagrangian backtracking, polygon intersection-based remapping and forward tracking to define the material centroid. The effectiveness and efficiency of AMR-MOF method is demonstrated with classical test problems, such as Zalesak's disk and reversible vortex problem. The comparison with previously published results for these problems shows the superior accuracy of the AMR-MOF method over other methods. In addition, two new test cases with severe deformation rates are introduced, namely droplet deformation and S-shape deformation problems, for further demonstration of the capabilities of the AMR-MOF method. (C) 2009 Elsevier Inc. All rights reserved.