STABILITY AND CONVERGENCE ANALYSIS OF SECOND-ORDER SCHEMES FOR A DIFFUSE INTERFACE MODEL WITH PENG-ROBINSON EQUATION OF STATE

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...

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Bibliographic Details
Published inJournal of computational mathematics Vol. 35; no. 6; pp. 737 - 765
Main Authors Peng, Qiujin, Qiao, Zhonghua, Sun, Shuyu
Format Journal Article
LanguageEnglish
Published Chinese Academy of Mathematices and Systems Science (AMSS) Chinese Academy of Sciences 01.01.2017
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Summary: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.
ISSN:0254-9409
1991-7139
DOI:10.4208/jcm.1611-m2016-0623