@Article{AAMM-15-1,
author = {Yao, Changhui and Zhaoyue, Du and Yang, Lei},
title = {SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2023},
volume = {15},
number = {1},
pages = {139--158},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2021-0216},
url = {https://global-sci.com/article/72828/sav-finite-element-method-for-the-peng-robinson-equation-of-state-with-dynamic-boundary-conditions}
}