Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State
Type
ArticleKAUST Department
Computational Transport Phenomena LabEarth Science and Engineering Program
Physical Science and Engineering (PSE) Division
Date
2017-06Online Publication Date
2017-06Print Publication Date
2017-06Permanent link to this record
http://hdl.handle.net/10754/625823
Metadata
Show full item recordAbstract
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 PressAdditional Links
http://www.global-sci.org/jcm/galley/JCM2016-0623.pdfae974a485f413a2113503eed53cd6c53
10.4208/jcm.1611-m2016-0623