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dc.contributor.authorKou, Jisheng
dc.contributor.authorSun, Shuyu
dc.date.accessioned2015-08-12T09:31:38Z
dc.date.available2015-08-12T09:31:38Z
dc.date.issued2015-03-12
dc.identifier.citationKou, J., & Sun, S. (2016). Unconditionally stable methods for simulating multi-component two-phase interface models with Peng–Robinson equation of state and various boundary conditions. Journal of Computational and Applied Mathematics, 291, 158–182. doi:10.1016/j.cam.2015.02.037
dc.identifier.issn03770427
dc.identifier.doi10.1016/j.cam.2015.02.037
dc.identifier.urihttp://hdl.handle.net/10754/566186
dc.description.abstractIn this paper, we consider multi-component dynamic two-phase interface models, which are formulated by the Cahn-Hilliard system with Peng-Robinson equation of state and various boundary conditions. These models can be derived from the minimum problems of Helmholtz free energy or grand potential in the realistic thermodynamic systems. The resulted Cahn-Hilliard systems with various boundary conditions are fully coupled and strongly nonlinear. A linear transformation is introduced to decouple the relations between different components, and as a result, the models are simplified. From this, we further propose a semi-implicit unconditionally stable time discretization scheme, which allows us to solve the Cahn-Hilliard system by a decoupled way, and thus, our method can significantly reduce the computational cost and memory requirements. The mixed finite element methods are employed for the spatial discretization, and the approximate errors are also analyzed for both space and time. Numerical examples are tested to demonstrate the efficiency of our proposed methods. © 2015 Elsevier B.V.
dc.publisherElsevier BV
dc.subjectCahn-Hilliard system
dc.subjectMulti-component fluids
dc.subjectPeng-Robinson equation of state
dc.subjectTwo-phase interfaces
dc.subjectUnconditional stability
dc.titleUnconditionally stable methods for simulating multi-component two-phase interface models with Peng-Robinson equation of state and various boundary conditions
dc.typeArticle
dc.contributor.departmentComputational Transport Phenomena Lab
dc.contributor.departmentEarth Science and Engineering Program
dc.contributor.departmentEnvironmental Science and Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalJournal of Computational and Applied Mathematics
kaust.personSun, Shuyu
dc.date.published-online2015-03-12
dc.date.published-print2016-01


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