TY - JOUR
T1 - A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State
AU - Peng , Qiujin
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 1162
EP - 1188
PY - 2018
DA - 2018/05
SN - 9
DO - http://doi.org/10.4208/aamm.OA-2016-0024
UR - https://global-sci.org/intro/article_detail/aamm/12195.html
KW - Diffuse interface model, fourth order parabolic equation, convex-splitting scheme, convergence.
AB - <p style="text-align: justify;">We present a convex-splitting scheme for the fourth order parabolic equation
derived from a diffuse interface model with Peng-Robinson equation of state for
pure substance. The semi-implicit scheme is proven to be uniquely solvable, mass conservative,
unconditionally energy stable and $L^∞$ convergent with the order of&nbsp;$\mathcal{O}(∆t+h^2)$. The numerical results verify the effectiveness of the proposed algorithm and also
show good agreement of the numerical solution with laboratory experimental results.</p>