TY - JOUR
T1 - Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State
AU - Peng , Qiujin
AU - Qiao , Zhonghua
AU - Sun , Shuyu
JO - Journal of Computational Mathematics
VL - 6
SP - 737
EP - 765
PY - 2017
DA - 2017/12
SN - 35
DO - http://doi.org/10.4208/jcm.1611-m2016-0623
UR - https://global-sci.org/intro/article_detail/jcm/10492.html
KW - Diffuse interface model, Fourth order parabolic equation, Energy stability,
Convergence.
AB - <p style="text-align: justify;">In this paper, we present two second-order numerical schemes to solve the fourth order parabolic equation derived from a diffuse interface model with Peng-Robinson Equation of state (EOS) for pure substance. The mass conservation, energy decay property, unique solvability and $L^∞$ convergence of these two schemes are proved. Numerical results demonstrate the good approximation of the fourth order equation and confirm reliability of these two schemes.</p>