An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow
An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow
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DOI：
10.1137/s1064827596298245
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发表时间：
1999-01-01
影响因子：
3.1
通讯作者：
Fatemi, E
中科院分区：
文献类型：
--
作者：
Sussman, M;Fatemi, E
在Sussman、Smereka和Osher [J. Comp. Phys.，94（1994），pp. 146-159]中提出了一种用水平集方法计算不可压气水两相流动的数值格式。上述方法的关键是一种新的迭代方法，用于将水平集函数保持为与零水平集的有符号距离。本文在高阶差分格式中加入“约束”沿着，使迭代法更精确、更有效。准确性是衡量的新计算的有符号距离函数和原始水平集函数具有相同的零水平集。我们应用我们的retarming计划不可压缩流显着更好地解决了降低成本的结果。我们用实验和理论验证了我们的结果。我们表明，我们的“距离水平集计划”与附加的约束竞争以及可用的接口跟踪计划的基本平流的接口。我们进行基本的精度检查和涉及复杂界面结构的更严格测试。与所有水平集方案一样，我们的方法很容易实现。
In Sussman, Smereka, and Osher [J. Comp. Phys., 94 (1994), pp. 146-159], a numerical scheme was presented for computing incompressible air-water flows using the level set method. Crucial to the above method was a new iteration method for maintaining the level set function as the signed distance from the zero level set. In this paper we implement a "constraint" along with higher order difference schemes in order to make the iteration method more accurate and efficient. Accuracy is measured in terms of the new computed signed distance function and the original level set function having the same zero level set. We apply our redistancing scheme to incompressible flows with noticeably better resolved results at reduced cost. We validate our results with experiment and theory. We show that our "distance level set scheme" with the added constraint competes well with available interface tracking schemes for basic advection of an interface. We perform basic accuracy checks and more stringent tests involving complicated interfacial structures. As with all level set schemes, our method is easy to implement.