Year: 2023
Author: Changhui Yao, Zhaoyue Du, Lei Yang
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 1 : pp. 139–158
Abstract
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2021-0216
Advances in Applied Mathematics and Mechanics, Vol. 15 (2023), Iss. 1 : pp. 139–158
Published online: 2023-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 20
Keywords: Peng-Robinson equation of state dynamic boundary conditions scalar auxiliary variable finite element method error estimates.