Year: 2017
Author: Qiujin Peng
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 5 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2016-0024
Advances in Applied Mathematics and Mechanics, Vol. 9 (2017), Iss. 5 : pp. 1162–1188
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Diffuse interface model fourth order parabolic equation convex-splitting scheme convergence.
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