A finite element method for the numerical solution of the coupled Cahn-Hilliard and Navier-Stokes system for moving contact line problems
Type
ArticleKAUST Department
Applied Mathematics and Computational Science ProgramComputational Transport Phenomena Lab
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Earth Science and Engineering Program
Environmental Science and Engineering Program
Physical Science and Engineering (PSE) Division
KAUST Grant Number
SA-C0040/UK-C0016Date
2012-10Permanent link to this record
http://hdl.handle.net/10754/562340
Metadata
Show full item recordAbstract
In this paper, a semi-implicit finite element method is presented for the coupled Cahn-Hilliard and Navier-Stokes equations with the generalized Navier boundary condition for the moving contact line problems. In our method, the system is solved in a decoupled way. For the Cahn-Hilliard equations, a convex splitting scheme is used along with a P1-P1 finite element discretization. The scheme is unconditionally stable. A linearized semi-implicit P2-P0 mixed finite element method is employed to solve the Navier-Stokes equations. With our method, the generalized Navier boundary condition is extended to handle the moving contact line problems with complex boundary in a very natural way. The efficiency and capacity of the present method are well demonstrated with several numerical examples. © 2012 Elsevier Inc..Citation
Bao, K., Shi, Y., Sun, S., & Wang, X.-P. (2012). A finite element method for the numerical solution of the coupled Cahn–Hilliard and Navier–Stokes system for moving contact line problems. Journal of Computational Physics, 231(24), 8083–8099. doi:10.1016/j.jcp.2012.07.027Sponsors
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), the Hong Kong RGC-GRF Grants 605311 and 604209 and the national basic research program under project of China under project 2009CB623200. The work is also supported by the project entitled "The Modeling and Simulation of Two-Phase Flow in Porous Media: From Pore Scale to Darcy Scale" funded by KAUST's GRP-CF (Global Research Partnership Collaborative Fellows) Program.Publisher
Elsevier BVJournal
Journal of Computational Physicsae974a485f413a2113503eed53cd6c53
10.1016/j.jcp.2012.07.027