3D adaptive finite element method for a phase field model for the moving contact line problems
KAUST Grant NumberSA-C0040/UK-C0016
Online Publication Date2013-09-05
Print Publication Date2013-09
Permanent link to this recordhttp://hdl.handle.net/10754/562892
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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 . 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.
CitationShi, Y., Bao, K., & Wang, X.-P. (2013). 3D adaptive finite element method for a phase field model for the moving contact line problems. Inverse Problems & Imaging, 7(3), 947–959. doi:10.3934/ipi.2013.7.947
SponsorsThis 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.
JournalInverse Problems & Imaging