A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows
A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows
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DOI：
10.1006/jcph.1996.0072
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发表时间：
1996-03
影响因子：
4.1
通讯作者：
Y. Chang;T. Hou;B. Merriman;S. Osher
中科院分区：
文献类型：
--
作者：
Y. Chang;T. Hou;B. Merriman;S. Osher
一个水平集制定的不可压缩，不混溶Navier？Stokes方程被自由面隔开。该接口被确定为一个光滑函数的零水平集。提出了基于该水平集的欧拉有限差分方法。这些方法是强大的和有效的，并能够计算接口奇异，如合并和重连。数值实验证明了方法的有效性。
A level set formulation is derived for incompressible, immiscible Navier?Stokes equations separated by a free surface. The interface is identified as the zero level set of a smooth function. Eulerian finite difference methods based on this level set formulation are proposed. These methods are robust and efficient and are capable of computing interface singularities such as merging and reconnection. Numerical experiments are presented to demonstrate the effectiveness of the methods.