A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

A Convex-Splitting Scheme for a Diffuse Interface Model with Peng-Robinson Equation of State

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.

Author Details

Qiujin Peng

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