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Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State

Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State
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Year:    2017

Author:    Qiujin Peng, Zhonghua Qiao, Shuyu Sun

Journal of Computational Mathematics, Vol. 35 (2017), Iss. 6 : pp. 737–765

Abstract

In this paper, we present two second-order numerical schemes to solve the fourth order parabolic equation derived from a diffuse interface model with Peng-Robinson Equation of state (EOS) for pure substance. The mass conservation, energy decay property, unique solvability and $L^∞$ convergence of these two schemes are proved. Numerical results demonstrate the good approximation of the fourth order equation and confirm reliability of these two schemes.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1611-m2016-0623

Journal of Computational Mathematics, Vol. 35 (2017), Iss. 6 : pp. 737–765

Published online:    2017-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    29

Keywords:    Diffuse interface model Fourth order parabolic equation Energy stability Convergence.

Author Details

Qiujin Peng

Zhonghua Qiao

Shuyu Sun

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