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

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

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.

Author Details

Changhui Yao

Zhaoyue Du

Lei Yang