3D adaptive finite element method for a phase field model for the moving contact line problems

Handle URI:
http://hdl.handle.net/10754/562892
Title:
3D adaptive finite element method for a phase field model for the moving contact line problems
Authors:
Shi, Yi; Bao, Kai; Wang, Xiaoping
Abstract:
In 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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
American Institute of Mathematical Sciences (AIMS)
Journal:
Inverse Problems and Imaging
Issue Date:
Aug-2013
DOI:
10.3934/ipi.2013.7.947
Type:
Article
ISSN:
19308337
Sponsors:
This 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.
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorShi, Yien
dc.contributor.authorBao, Kaien
dc.contributor.authorWang, Xiaopingen
dc.date.accessioned2015-08-03T11:14:22Zen
dc.date.available2015-08-03T11:14:22Zen
dc.date.issued2013-08en
dc.identifier.issn19308337en
dc.identifier.doi10.3934/ipi.2013.7.947en
dc.identifier.urihttp://hdl.handle.net/10754/562892en
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.en
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.en
dc.publisherAmerican Institute of Mathematical Sciences (AIMS)en
dc.subjectAdaptive finite elementen
dc.subjectGeneralized Navier boundary conditionen
dc.subjectMoving contact lineen
dc.subjectPhase fielden
dc.title3D adaptive finite element method for a phase field model for the moving contact line problemsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalInverse Problems and Imagingen
dc.contributor.institutionDepartment of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kongen
kaust.authorBao, Kaien
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