Volume 9, Issue 5
A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

Qiujin Peng

Adv. Appl. Math. Mech., 9 (2017), pp. 1162-1188.

Published online: 2018-05

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  • 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 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.

  • Keywords

Diffuse interface model, fourth order parabolic equation, convex-splitting scheme, convergence.

  • AMS Subject Headings

65M06, 65M12, 65G99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-9-1162, author = {}, title = {A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, 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 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 = {http://global-sci.org/intro/article_detail/aamm/12195.html} }
TY - JOUR T1 - A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 1162 EP - 1188 PY - 2018 DA - 2018/05 SN - 9 DO - http://dor.org/10.4208/aamm.OA-2016-0024 UR - https://global-sci.org/intro/aamm/12195.html KW - Diffuse interface model, fourth order parabolic equation, convex-splitting scheme, convergence. AB -

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 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.

Qiujin Peng. (2020). A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State. Advances in Applied Mathematics and Mechanics. 9 (5). 1162-1188. doi:10.4208/aamm.OA-2016-0024
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