SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions

被引：1

作者：

Yao, Changhui ^{[1
]}

Du, Zhaoyue ^{[1
]}

Yang, Lei ^{[2
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

[2] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China

来源：

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2023年 / 15卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Peng-Robinson equation of state; dynamic boundary conditions; scalar auxiliary vari-able; finite element method; error estimates; CAHN-HILLIARD EQUATION; CONVERGENT NUMERICAL SCHEME; DIFFUSE-INTERFACE MODEL; ENERGY STABLE SCHEMES; GRADIENT; 2ND-ORDER; EFFICIENT;

D O I：

10.4208/aamm.OA-2021-0216

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Peng-Robinson equation of state with dynamic bound-ary conditions is discussed, which considers the interactions with solid walls. At first, the model is introduced and the regularization method on the nonlinear term is adopted. Next, The scalar auxiliary variable (SAV) method in temporal and finite el-ement method in spatial are used to handle the Peng-Robinson equation of state. Then, the energy dissipation law of the numerical method is obtained. Also, we acquire the convergence of the discrete SAV finite element method (FEM). Finally, a numerical ex-ample is provided to confirm the theoretical result.

引用

页码：139 / 158

页数：20

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