Name
Title | ||
|---|---|---|
A least-squares/finite element method for the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line |
Abstract | ||
|---|---|---|
In this article we discuss the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line separating two immiscible incompressible viscous fluids near a solid wall. The method we employ combines a finite element space approximation with a time discretization by operator-splitting. To solve the Cahn-Hilliard part of the problem, we use a least-squares/conjugate gradient method. We also show that the scheme has the total energy decaying in time property under certain conditions. Our numerical experiments indicate that the method discussed here is accurate, stable and efficient. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.jcp.2011.03.022 | J. Comput. Physics |
Keywords | Field | DocType |
contact line,time discretization,least squares,time property,finite element method,navier–stokes,certain condition,conjugate gradient method,cahn–hilliard,navier-stokes-cahn-hilliard system,numerical experiment,finite element space approximation,operator-splitting,numerical solution,cahn-hilliard part,conjugate gradient,system modeling,viscous fluid,least square,finite element | Compressibility,Least squares,Conjugate gradient method,Discretization,Mathematical optimization,Mathematical analysis,Extended finite element method,Finite element method,Systems modeling,Mathematics,Mixed finite element method | Journal |
Volume | Issue | ISSN |
230 | 12 | Journal of Computational Physics |
Citations | PageRank | References |
11 | 1.16 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qiaolin He | 1 | 11 | 2.18 |
| Roland Glowinski | 2 | 188 | 50.44 |
| Xiao-Ping Wang | 3 | 199 | 21.38 |