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dc.contributor.authorZhu, Guangpu
dc.contributor.authorKou, Jisheng
dc.contributor.authorSun, Shuyu
dc.contributor.authorYao, Jun
dc.contributor.authorLi, Aifen
dc.date.accessioned2018-04-24T06:46:18Z
dc.date.available2018-04-24T06:46:18Z
dc.date.issued2018-04-17
dc.identifier.urihttp://hdl.handle.net/10754/627605
dc.description.abstractIn this paper, we consider the numerical approximation of a binary fluid-surfactant phase field model of two-phase incompressible flow. The nonlinearly coupled model consists of two Cahn-Hilliard type equations and incompressible Navier-Stokes equations. Using the Invariant Energy Quadratization (IEQ) approach, the governing system is transformed into an equivalent form, which allows the nonlinear potentials to be treated efficiently and semi-explicitly. we construct a first and a second-order time marching schemes, which are extremely efficient and easy-to-implement, for the transformed governing system. At each time step, the schemes involve solving a sequence of linear elliptic equations, and computations of phase variables, velocity and pressure are totally decoupled. We further establish a rigorous proof of unconditional energy stability for the semi-implicit schemes. Numerical results in both two and three dimensions are obtained, which demonstrate that the proposed schemes are accurate, efficient and unconditionally energy stable. Using our schemes, we investigate the effect of surfactants on droplet deformation and collision under a shear flow. The increase of surfactant concentration can enhance droplet deformation and inhibit droplet coalescence.
dc.publisherarXiv
dc.relation.urlhttp://arxiv.org/abs/1804.06305v1
dc.relation.urlhttp://arxiv.org/pdf/1804.06305v1
dc.rightsArchived with thanks to arXiv
dc.titleNumerical approximation of a binary fluid-surfactant phase field model of two-phase incompressible flow
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.institutionResearch Center of Multiphase Flow in Porous Media,School of Petroleum Engineering, China University of Petroleum (East China), Qingdao 266580, China
dc.contributor.institutionSchool of Mathematics and Statistics, Hubei Engineering University, Xiaogan 432000, Hubei, China.
dc.identifier.arxividarXiv:1804.06305
kaust.personSun, Shuyu
kaust.grant.numberBAS/1/1351-01-01
refterms.dateFOA2018-06-14T04:25:52Z


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