Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6928832 | Journal of Computational Physics | 2018 | 28 Pages |
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 Bâ¾âΩ, 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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Qiaolin He, Roland Glowinski, Xiao-Ping Wang,