Conservative unconditionally stable decoupled numerical schemes for the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq system

被引：2

作者：

Chen, Wenbin ^{[1
]}

Han, Daozhi ^{[2
]}

Wang, Xiaoming ^{[3
]}

Zhang, Yichao ^{[4
]}

机构：

[1] Fudan Univ, Sch Math Sci, Shanghai Key Lab Math Nonlinear Sci, Shanghai, Peoples R China

[2] Missouri Univ Sci & Technol, Dept Math & Stat, Rolla, MO 65409 USA

[3] Southern Univ Sci & Technol, SUSTech Int Ctr Math, Natl Ctr Appl Math Shenzhen, Dept Math,Guangdong Prov Key Lab Computat Sci & M, Shenzhen, Peoples R China

[4] Fudan Univ, Sch Math Sci, Shanghai, Peoples R China

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2022年 / 38卷 / 06期

基金：

国家重点研发计划;

关键词：

convection; phase field model; two-phase flow; unconditional stability; SUPERPOSED FLUID; PENETRATIVE CONVECTION; ELEMENT-METHOD; 2ND-ORDER; FLOW; STABILITY; MODEL; TIME; EFFICIENT; LAYER;

D O I：

10.1002/num.22841

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose two mass and heat energy conservative, unconditionally stable, decoupled numerical algorithms for solving the Cahn-Hilliard-Navier-Stokes-Darcy-Boussinesq system that models thermal convection of two-phase flows in superposed free flow and porous media. The schemes totally decouple the computation of the Cahn-Hilliard equation, the Darcy equations, the heat equation, the Navier-Stokes equations at each time step, and thus significantly reducing the computational cost. We rigorously show that the schemes are conservative and energy-law preserving. Numerical results are presented to demonstrate the accuracy and stability of the algorithms.

引用

页码：1823 / 1842

页数：20

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