Energy Stable Linear Schemes for Mass-Conserved Gradient Flows with Peng-Robinson Equation of State
Energy Stable Linear Schemes for Mass-Conserved Gradient Flows with Peng-Robinson Equation of State
复制标题
具有彭-罗宾逊状态方程的质量守恒梯度流的能量稳定线性方案
DOI：
10.4208/eajam.140418.120518
复制
发表时间：
2019
影响因子：
1.2
通讯作者：
Zuoliang Xu
中科院分区：
文献类型：
--
作者：
Qiujin Peng;Hongwei Li;Zuoliang Xu
基于新近提出的不变能量平方方法，建立了四阶抛物型方程Peng-Robinson状态方程的一阶和二阶数值格式。这两种格式都是线性的，无条件能量稳定且唯一可解。降阶后的线性系统是对称的、正定的，因此可以有效地找到它们的解。数值结果表明，该方法具有较好的性能，与实验数据相吻合。AMS科目分类：65N30、65N50、49S05
First and second order numerical schemes for the fourth order parabolic equation with Peng-Robinson equation of state, which are based on recently proposed invariant energy quadratisation method are developed. Both schemes are linear, unconditionally energy stable and uniquely solvable. The reduced linear systems are symmetric and positive definite, so that their solutions can be efficiently found. Numerical results demonstrate the good performance of the schemes, consistent with experimental data. AMS subject classifications: 65N30, 65N50, 49S05