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dc.contributor.authorShi, Yi
dc.contributor.authorBao, Kai
dc.contributor.authorWang, Xiaoping
dc.date.accessioned2015-08-03T11:14:22Z
dc.date.available2015-08-03T11:14:22Z
dc.date.issued2013-09-05
dc.identifier.issn19308337
dc.identifier.doi10.3934/ipi.2013.7.947
dc.identifier.urihttp://hdl.handle.net/10754/562892
dc.description.abstractIn this paper, we propose an adaptive finite element method for simulating the moving contact line problems in three dimensions. The model that we used is the coupled Cahn-Hilliard Navier-Stokes equations with the generalized Navier boundary condition(GNBC) proposed in [18]. In our algorithm, to improve the efficiency of the simulation, we use the residual type adaptive finite element algorithm. It is well known that the phase variable decays much faster away from the interface than the velocity variables. There- fore we use an adaptive strategy that will take into account of such difference. Numerical experiments show that our algorithm is both efficient and reliable. © 2013 American Institute of Mathematical Sciences.
dc.description.sponsorshipThis publication was based on work supported in part by Award No. SA-C0040/UK-C0016, made by King Abdullah University of Science and Technology (KAUST), Hong Kong RGC-GRF Grants 605311, 604209 and NNSF of China grant 91230102.
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)
dc.subjectAdaptive finite element
dc.subjectGeneralized Navier boundary condition
dc.subjectMoving contact line
dc.subjectPhase field
dc.title3D adaptive finite element method for a phase field model for the moving contact line problems
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalInverse Problems and Imaging
dc.contributor.institutionDepartment of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong
kaust.personBao, Kai
kaust.grant.numberSA-C0040/UK-C0016
dc.date.published-online2013-09-05
dc.date.published-print2013-09


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