Patch-recovery filters for curvature in discontinuous Galerkin-based level-set methods
Patch-recovery filters for curvature in discontinuous Galerkin-based level-set methods
复制标题
基于不连续伽辽金的水平集方法中曲率的补丁恢复滤波器
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
T. Warburton
中科院分区：
文献类型：
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作者：
F. Kummer;T. Warburton
在两相流模拟中，表面张力效应的处理通常是一个难题。这就造成了一个压力跳跃，这个压力跳跃与分离两种流体的界面曲率成正比。由于曲率的计算包含二阶导数，因此容易产生数值不稳定性。在这项工作中，用基于不连续伽辽金离散化的水平集方法来描述界面。为了稳定曲率的评估，采用了补丁恢复操作。在曲率计算的整个过程中，有许多方法可以应用这种滤波运算。因此，进行了广泛的数值研究，以确定关于计算成本和准确性的补丁恢复操作的最佳设置。
In two-phase flow simulations, a difficult issue is usually the treatment of surface tension effects. These cause a pressure jump that is proportional to the curvature of the interface separating the two fluids. Since the evaluation of the curvature incorporates second derivatives, it is prone to numerical instabilities. Within this work, the interface is described by a level-set method based on a discontinuous Galerkin discretization. In order to stabilize the evaluation of the curvature, a patch-recovery operation is employed. There are numerous ways in which this filtering operation can be applied in the whole process of curvature computation. Therefore, an extensive numerical study is performed to identify optimal settings for the patch-recovery operations with respect to computational cost and accuracy.
影响因子：
2.8
作者：
H. Sauerland;T. Fries
通讯作者：
H. Sauerland;T. Fries