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

Authors:
Jie Shen;Xiaofeng Yang
Affiliations:
Department of Mathematics, Purdue University, West Lafayette, IN 47907-1957, United States;Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, United States
Venue:
Journal of Computational Physics
Year:
2009

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Abstract

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.