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dc.contributor.authorKou, Jisheng
dc.contributor.authorSun, Shuyu
dc.contributor.authorWang, Xiuhua
dc.date.accessioned2019-12-18T06:10:45Z
dc.date.available2019-12-18T06:10:45Z
dc.date.issued2020-01-07
dc.date.submitted2019-03-20
dc.identifier.citationKou, J., Sun, S., & Wang, X. (2020). A Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng--Robinson Equation of State. SIAM Journal on Scientific Computing, 42(1), B30–B56. doi:10.1137/19m1251230
dc.identifier.doi10.1137/19m1251230
dc.identifier.urihttp://hdl.handle.net/10754/660650
dc.description.abstractThe Peng--Robinson equation of state (PR-EoS) has become one of the most extensively applied equations of state in chemical engineering and the petroleum industry due to its excellent accuracy in predicting the thermodynamic properties of a wide variety of materials, especially hydrocarbons. Although great effort has been made to construct efficient numerical methods for the diffuse interface models with PR-EoS, there is still not a linear numerical scheme that can be proved to preserve the original energy dissipation law. In order to pursue such a numerical scheme, we propose a novel energy factorization (EF) approach, which first factorizes an energy function into a product of several factors and then treats the factors using their properties to obtain the semi-implicit linear schemes. We apply the EF approach to deal with the Helmholtz free energy density determined by PR-EoS, and then propose a linear semi-implicit numerical scheme that inherits the original energy dissipation law. Moreover, the proposed scheme is proved to satisfy the maximum principle in both time semidiscrete form and cell-centered finite difference fully discrete form under certain conditions. Numerical results are presented to demonstrate the stability and efficiency of the proposed scheme.
dc.description.sponsorshipThis work was supported by the Scientific and Technical Research Project of Hubei Provincial Department of Education through grant D20192703.
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)
dc.relation.urlhttps://epubs.siam.org/doi/10.1137/19M1251230
dc.rightsArchived with thanks to SIAM Journal on Scientific Computing
dc.titleA Novel Energy Factorization Approach for the Diffuse-Interface Model with Peng--Robinson Equation of State
dc.typeArticle
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalSIAM Journal on Scientific Computing
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionSchool of Civil Engineering, Shaoxing University, Shaoxing 312000, Zhejiang, China.
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, China.
dc.identifier.arxivid1903.08852
kaust.personSun, Shuyu
dc.date.accepted2019-10-11
refterms.dateFOA2019-12-18T06:11:13Z
dc.date.published-online2020-01-07
dc.date.published-print2020-01
dc.date.posted2019-03-21


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