Paper Info
Title
A least-squares/fictitious domain method for incompressible viscous flow around obstacles with Navier slip boundary condition.
Abstract
In this article, we discuss a least-squares/fictitious domain method for incompressible viscous flow around obstacles with Navier slip boundary condition. Assuming that Ω and B are two bounded sub-domains of Rd, with B‾⊂Ω, in order to solve the incompressible Navier–Stokes equations with a Navier slip condition on the boundary γ of the obstacle B, we advocate a fictitious domain method where one solves a simpler variant of the original problem on the whole Ω, followed by a well-chosen correction over B. This method is of the virtual control type and relies on a least-squares formulation making the problem solvable by a conjugate gradient algorithm operating in a well chosen control space. A detailed discussion of the finite element implementation of the above methodology is also provided. Numerical results are given; they suggest optimal order of convergence.
Year
DOI
Venue
2018
10.1016/j.jcp.2018.04.013
Journal of Computational Physics
Keywords
Field
DocType
Least-squares,Fictitious domain method,Incompressible viscous flow,Navier slip boundary condition
Conjugate gradient method,Least squares,Boundary value problem,Mathematical analysis,Fictitious domain method,Slip (materials science),Finite element method,Rate of convergence,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
366
C
0021-9991
Citations 
PageRank 
References 
0
0.34
1
Authors
3
Name
Order
Citations
PageRank
Qiaolin He1112.18
Roland Glowinski218850.44
Xiao-Ping Wang319921.38