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dc.contributor.authorKou, Jisheng
dc.contributor.authorSun, Shuyu
dc.contributor.authorWang, Xiuhua
dc.date.accessioned2018-11-21T13:09:48Z
dc.date.available2018-11-21T13:09:48Z
dc.date.issued2018-11-15
dc.identifier.citationKou J, Sun S, Wang X (2018) Linearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow. SIAM Journal on Numerical Analysis 56: 3219–3248. Available: http://dx.doi.org/10.1137/17m1162287.
dc.identifier.issn0036-1429
dc.identifier.issn1095-7170
dc.identifier.doi10.1137/17m1162287
dc.identifier.urihttp://hdl.handle.net/10754/629934
dc.description.abstractIn this paper, for the first time we propose two linear, decoupled, energy-stable numerical schemes for multicomponent two-phase compressible flow with a realistic equation of state (e.g., Peng--Robinson equation of state). The methods are constructed based on the scalar auxiliary variable (SAV) approaches for Helmholtz free energy and the intermediate velocities that are designed to decouple the tight relationship between velocity and molar densities. The intermediate velocities are also involved in the discrete momentum equation to ensure consistency with the mass balance equations. Moreover, we propose a componentwise SAV approach for a multicomponent fluid, which requires solving a sequence of linear, separate mass balance equations. The fully discrete schemes are also constructed based on the finite difference/volume methods with the upwind scheme on staggered grids. We prove that the semidiscrete and fully discrete schemes preserve the unconditional energy-dissipation feature. Numerical results are presented to verify the effectiveness of the proposed methods.
dc.description.sponsorshipThis work was supported by funding from King Abdullah University of Science and Technology (KAUST) through grants BAS/1/1351-01, URF/1/2993-01, and REP/1/2879-01.
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)
dc.relation.urlhttps://epubs.siam.org/doi/10.1137/17M1162287
dc.rightsArchived with thanks to SIAM Journal on Numerical Analysis
dc.subjectmulticomponent two-phase flow
dc.subjectdiffuse interface model
dc.subjectenergy stability
dc.subjectrealistic equation of state
dc.titleLinearly Decoupled Energy-Stable Numerical Methods for Multicomponent Two-Phase Compressible Flow
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 Numerical Analysis
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, China
kaust.personSun, Shuyu
kaust.grant.numberBAS/1/1351-01
kaust.grant.numberURF/1/2993-01
kaust.grant.numberREP/1/2879-01
refterms.dateFOA2018-11-22T11:32:35Z
dc.date.published-online2018-11-15
dc.date.published-print2018-01


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