A variational method for multiphase volume-preserving interface motions
A variational method for multiphase volume-preserving interface motions
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DOI：
10.1016/j.cam.2013.08.027
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发表时间：
2014-02
期刊：
影响因子：
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通讯作者：
Karel Svadlenka;E. Ginder;S. Omata
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文献类型：
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作者：
Karel Svadlenka;E. Ginder;S. Omata
我们发展了一种数值方法来实现多相分离界面的平均曲率运动，其体积随时间保持不变。该方法的基础是Bence-Merriman-Osher型阈值算法。原始算法在向量设置中进行了重新表述，这允许自然地包含约束，即使在多阶段情况下也是如此。此外，还设计了一种新的方法来克服非自适应网格上阈值方法的不准确性，因为这种不准确性在保体积运动中尤为突出。文中给出了该方法的形式分析和数值试验。
We develop a numerical method for realizing mean curvature motion of interfaces separating multiple phases, whose volumes are preserved throughout time. The foundation of the method is a thresholding algorithm of the Bence–Merriman–Osher type. The original algorithm is reformulated in a vector setting, which allows for a natural inclusion of constraints, even in the multiphase case. Moreover, a new method for overcoming the inaccuracy of thresholding methods on non-adaptive grids is designed, since this inaccuracy becomes especially prominent in volume-preserving motions. Formal analysis of the method and numerical tests are presented.