TY - JOUR
T1 - SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions
AU - Yao , Changhui
AU - Du , Zhaoyue
AU - Yang , Lei
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 139
EP - 158
PY - 2022
DA - 2022/10
SN - 15
DO - http://doi.org/10.4208/aamm.OA-2021-0216
UR - https://global-sci.org/intro/article_detail/aamm/21129.html
KW - Peng-Robinson equation of state, dynamic boundary conditions, scalar auxiliary variable, finite element method, error estimates.
AB - <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>