An efficient moving mesh spectral method for the phase-field model of two-phase flows

被引:102
作者
Shen, Jie [1 ]
Yang, Xiaofeng [2 ]
机构
[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
[2] Univ N Carolina, Dept Math, Chapel Hill, NC 27599 USA
基金
美国国家科学基金会;
关键词
Moving mesh; Two-phase flow; Spectral method; Phase-field; EQUATIONS; FLUIDS; MIXTURE;
D O I
10.1016/j.jcp.2009.01.009
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We develop in this paper a moving mesh spectral method for the phase-field model of two-phase flows with non-periodic boundary conditions. The method is based on a variational moving mesh PDE for the phase function, coupled with efficient semi-implicit treatments for advancing the mesh function, the phase function and the velocity and pressure in a decoupled manner. Ample numerical results are presented to demonstrate the accuracy and effectiveness of the moving mesh spectral method. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码:2978 / 2992
页数:15
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