Energy Stable Schemes for Cahn-Hilliard Phase-Field Model of Two-Phase Incompressible Flows

Numerical approximations of Cahn-Hilliard phase-field model for the two-phase incompressible flows are considered in this paper. Several efficient and energy stable time discretization schemes for the coupled nonlinear Cahn-Hilliard phase-field system for both the matched density case and the variable density case are constructed, and are shown to satisfy discrete energy laws which are analogous to the continuous energy laws.

作 者： Jie SHEN Xiaofeng YANG   作者單位： Jie SHEN(Department of Mathematics, Purdue University, West Lafayette, IN, 47907, USA)

Xiaofeng YANG(Department of Mathematics, University of South Carolina, Columbia, SC, 29208, USA) 

刊 名： 數(shù)學(xué)年刊B輯（英文版）  ISTIC SCI 英文刊名： CHINESE ANNALS OF MATHEMATICS,SERIES B  年，卷(期)： 2010 31(5)  分類號(hào)： O1  關(guān)鍵詞： Phase-field   Two-phase flow   Navier-Stokes   Cahn-Hilliard   Energy stable  

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