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

Handle URI:
http://hdl.handle.net/10754/625823
Title:
Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State
Authors:
Peng, Qiujin; Qiao, Zhonghua; Sun, Shuyu ( 0000-0002-3078-864X )
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.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
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.
Publisher:
Global Science Press
Journal:
Journal of Computational Mathematics
Issue Date:
18-Sep-2017
DOI:
10.4208/jcm.1611-m2016-0623
Type:
Article
ISSN:
0254-9409
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).
Additional Links:
http://www.global-sci.org/jcm/galley/JCM2016-0623.pdf
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorPeng, Qiujinen
dc.contributor.authorQiao, Zhonghuaen
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2017-10-05T12:47:10Z-
dc.date.available2017-10-05T12:47:10Z-
dc.date.issued2017-09-18en
dc.identifier.citationPeng 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.en
dc.identifier.issn0254-9409en
dc.identifier.doi10.4208/jcm.1611-m2016-0623en
dc.identifier.urihttp://hdl.handle.net/10754/625823-
dc.description.abstractIn 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.en
dc.description.sponsorshipWe 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).en
dc.publisherGlobal Science Pressen
dc.relation.urlhttp://www.global-sci.org/jcm/galley/JCM2016-0623.pdfen
dc.rightsArchived with thanks to Journal of Computational Mathematics. The Work may be reproduced by any means for educational and scientific purposes by the Author(s) or by others without fee or permission with the exception of reproduction by services that collect fees for delivery of documents.en
dc.subjectDiffuse interface modelen
dc.subjectFourth order parabolic equationen
dc.subjectEnergy stabilityen
dc.subjectConvergenceen
dc.titleStability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of Stateen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalJournal of Computational Mathematicsen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionInstitute for Mathematical Sciences, Renmin University of China, Beijing 100872, Chinaen
dc.contributor.institutionDepartment of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Hong Kongen
kaust.authorSun, Shuyuen
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