TY - JOUR
T1 - Energy Stable Linear Schemes for Mass-Conserved Gradient Flows with Peng-Robinson Equation of State
AU - Qiujin Peng, Hongwei Li & Zuoliang Xu
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 212
EP - 232
PY - 2019
DA - 2019/01
SN - 9
DO - http://doi.org/10.4208/eajam.140418.120518 
UR - https://global-sci.org/intro/article_detail/eajam/12943.html
KW - Conservative gradient flow, Peng-Robinson equation of state, invariant energy quadratisation, unconditional energy stability.
AB - <p style="text-align: justify;">First and second order numerical schemes for the fourth order parabolic equation with Peng-Robinson equation of state, which are based on recently proposed invariant energy quadratisation method are developed. Both schemes are linear, unconditionally energy stable and uniquely solvable. The reduced linear systems are symmetric
and positive definite, so that their solutions can be efficiently found. Numerical results
demonstrate the good performance of the schemes, consistent with experimental data.</p>