具有动态边界条件的Peng-Robinson状态方程的SAV有限元法

IF 1.5 4区工程技术 Q2 MATHEMATICS, APPLIED

Advances in Applied Mathematics and Mechanics Pub Date : 2023-06-01 DOI:10.4208/aamm.oa-2021-0216

C. Yao, Zhaoyue Du null, Lei Yang

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引用次数: 0

摘要

．本文讨论了考虑与固体壁相互作用的具有动态边界条件的Peng-Robinson状态方程。首先对模型进行了介绍，并对非线性项进行了正则化处理。其次，在时间上采用标量辅助变量法(SAV)，在空间上采用有限元法处理Peng-Robinson状态方程。然后，得到数值方法的能量耗散规律。同时，得到了离散SAV有限元法的收敛性。最后通过数值算例验证了理论结果。

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

. In this paper, the Peng-Robinson equation of state with dynamic boundary 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 element 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 example is provided to conﬁrm the theoretical result.

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来源期刊

Advances in Applied Mathematics and Mechanics MATHEMATICS, APPLIED-MECHANICS

CiteScore

2.60

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： Advances in Applied Mathematics and Mechanics (AAMM) provides a fast communication platform among researchers using mathematics as a tool for solving problems in mechanics and engineering, with particular emphasis in the integration of theory and applications. To cover as wide audiences as possible, abstract or axiomatic mathematics is not encouraged. Innovative numerical analysis, numerical methods, and interdisciplinary applications are particularly welcome.