@Article{AAMM-9-5, author = {Qiujin, Peng}, title = {A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2017}, volume = {9}, number = {5}, pages = {1162--1188}, abstract = {

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 $\mathcal{O}(∆t+h^2)$. The numerical results verify the effectiveness of the proposed algorithm and also show good agreement of the numerical solution with laboratory experimental results.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2016-0024}, url = {https://global-sci.com/article/73297/a-convex-splitting-scheme-for-a-diffuse-interface-model-with-peng-robinson-equation-of-state} }