论文期刊

Second order decoupled energy stable numerical scheme for Cahn-Hilliard-Hele-Shaw system




作者: Yali Gao, Rui Li, Liquan Mei
发表/完成日期: 2020-07-01
期刊名称: Applied Numerical Mathematics
期卷: 157
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论文简介
In this paper, we develop a novel second order in time, decoupled, energy stable finite element scheme for simulation of Cahn-Hilliard-Hele-Shaw system. The idea of scalar auxiliary variable approach is introduced to handle the nonlinear bulk. An operator-splitting strategy is utilized to fully decouple the coupled Cahn-Hilliard equation and Darcy equation. A fully discretization is built in the framework of Galerkin finite element method. The unique solvability of numerical solution and preservation of energy law are rigorously established. Numerical experiences are recorded to illustrate the features of the designed numerical method, verify the theoretical results and conduct realistic applications.