Two-phase flow analysis based on a phase-field model using orthogonal basis bubble function finite element method

Authors:
Junichi Matsumoto;Naoki Takada
Affiliations:
National Institute of Advanced Industrial Science and Technology (AIST), Advanced Manufacturing Research Institute, Tsukuba, Japan;National Institute of Advanced Industrial Science and Technology (AIST), Advanced Manufacturing Research Institute, Tsukuba, Japan
Venue:
International Journal of Computational Fluid Dynamics
Year:
2008

Citing 3
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Abstract

In this study, a finite element method based on a phase-field model for gas-liquid two-phase flow is proposed. MINI element based on a bubble function element stabilisation method is employed for the incompressible Navier-Stokes equations. The Cahn-Hilliard equation is employed to estimate the interface of gas and liquid. The orthogonal basis bubble function element is used to solve the Cahn-Hilliard equation. In particular, a detailed explanation for solving the Cahn-Hilliard equation based on a finite element method is given.