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dc.contributor.authorKou, Jisheng
dc.contributor.authorSun, Shuyu
dc.contributor.authorWang, Xiuhua
dc.date.accessioned2017-12-28T07:32:14Z
dc.date.available2017-12-28T07:32:14Z
dc.date.issued2017-12-06
dc.identifier.urihttp://hdl.handle.net/10754/626511
dc.description.abstractIn this paper, for the first time we propose two linear, decoupled, energy-stable numerical schemes for multi-component 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 a consistency relationship with the mass balance equations. Moreover, we propose a component-wise SAV approach for a multi-component fluid, which requires solving a sequence of linear, separate mass balance equations. We prove that the methods have the unconditional energy-dissipation feature. Numerical results are presented to verify the effectiveness of the proposed methods.
dc.publisherarXiv
dc.relation.urlhttp://arxiv.org/abs/1712.02222v1
dc.relation.urlhttp://arxiv.org/pdf/1712.02222v1
dc.rightsArchived with thanks to arXiv
dc.titleLinearly decoupled energy-stable numerical methods for multi-component two-phase compressible flow
dc.typePreprint
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.eprint.versionPre-print
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, China.
dc.identifier.arxividarXiv:1712.02222
kaust.personSun, Shuyu
refterms.dateFOA2018-06-13T12:45:42Z


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