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dc.contributor.authorKou, Jisheng
dc.contributor.authorSun, Shuyu
dc.date.accessioned2018-03-15T11:35:52Z
dc.date.available2018-03-15T11:35:52Z
dc.date.issued2018-02-25
dc.identifier.urihttp://hdl.handle.net/10754/627322.1
dc.description.abstractIn this paper, we consider mathematical modeling and numerical simulation of non-isothermal compressible multi-component diffuse-interface two-phase flows with realistic equations of state. A general model with general reference velocity is derived rigorously through thermodynamical laws and Onsager's reciprocal principle, and it is capable of characterizing compressibility and partial miscibility between multiple fluids. We prove a novel relation among the pressure, temperature and chemical potentials, which results in a new formulation of the momentum conservation equation indicating that the gradients of chemical potentials and temperature become the primary driving force of the fluid motion except for the external forces. A key challenge in numerical simulation is to develop entropy stable numerical schemes preserving the laws of thermodynamics. Based on the convex-concave splitting of Helmholtz free energy density with respect to molar densities and temperature, we propose an entropy stable numerical method, which solves the total energy balance equation directly, and thus, naturally satisfies the first law of thermodynamics. Unconditional entropy stability (the second law of thermodynamics) of the proposed method is proved by estimating the variations of Helmholtz free energy and kinetic energy with time steps. Numerical results validate the proposed method.
dc.publisherarXiv
dc.relation.urlhttp://arxiv.org/abs/1802.09020v1
dc.relation.urlhttp://arxiv.org/pdf/1802.09020v1
dc.rightsArchived with thanks to arXiv
dc.titleEntropy stable modeling of non-isothermal multi-component diffuse-interface two-phase flows with realistic equations of state
dc.typePreprint
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Division
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentComputational Transport Phenomena Lab
dc.eprint.versionPre-print
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, China.
dc.identifier.arxivid1802.09020
kaust.personSun, Shuyu
dc.versionv1
refterms.dateFOA2018-06-14T03:50:39Z


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