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dc.contributor.authorKou, Jisheng
dc.contributor.authorSun, Shuyu
dc.identifier.citationKou J, Sun S (2018) Entropy stable modeling of non-isothermal multi-component diffuse-interface two-phase flows with realistic equations of state. Computer Methods in Applied Mechanics and Engineering 341: 221–248. Available:
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 the 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 between 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.description.sponsorshipThe work is supported in part by funding from King Abdullah University of Science and Technology (KAUST) through the grants BAS/1/1351-01, URF/1/2993-01, and REP/1/2879-01.
dc.publisherElsevier BV
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Computer Methods in Applied Mechanics and Engineering. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Methods in Applied Mechanics and Engineering, [, , (2018-07-05)] DOI: 10.1016/j.cma.2018.06.002 . © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
dc.subjectMulti-component two-phase flow
dc.subjectNon-isothermal flow
dc.subjectEntropy stability
dc.subjectConvex splitting
dc.titleEntropy stable modeling of non-isothermal multi-component diffuse-interface two-phase flows with realistic equations of state
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalComputer Methods in Applied Mechanics and Engineering
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, China
kaust.personSun, Shuyu

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