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

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    Type
    Article
    Authors
    Peng, Qiujin
    Qiao, Zhonghua
    Sun, Shuyu cc
    KAUST Department
    Computational Transport Phenomena Lab
    Earth Science and Engineering Program
    Physical Science and Engineering (PSE) Division
    Date
    2017-06
    Online Publication Date
    2017-06
    Print Publication Date
    2017-06
    Permanent link to this record
    http://hdl.handle.net/10754/625823
    
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    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-infinity 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.
    Citation
    Peng Q, Qiao Z, Sun S (2017) Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State. Journal of Computational Mathematics 35: 737–765. Available: http://dx.doi.org/10.4208/jcm.1611-m2016-0623.
    Sponsors
    We are grateful to Prof. Zhizhong Sun of Department of Mathematics of Southeast University and Prof. Hehu Xie of Institute of Computational Mathematics of Chinese Academy of Sciences for providing useful suggestions and many helpful discussions. The research of Zhonghua Qiao is partially supported by the Hong Kong Research Grant Council GRF grant 15302214, NSFC/RGC Joint Research Scheme N_HKBU204/12 and the Hong Kong Polytechnic University internal grant 1-ZE33. Shuyu Sun gratefully acknowledges that the research reported in this publication was supported by funding from King Abdullah University of Science and Technology (KAUST).
    Publisher
    Global Science Press
    Journal
    Journal of Computational Mathematics
    DOI
    10.4208/jcm.1611-m2016-0623
    Additional Links
    http://www.global-sci.org/jcm/galley/JCM2016-0623.pdf
    ae974a485f413a2113503eed53cd6c53
    10.4208/jcm.1611-m2016-0623
    Scopus Count
    Collections
    Articles; Physical Science and Engineering (PSE) Division; Earth Science and Engineering Program; Computational Transport Phenomena Lab

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