Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
499894 | Computer Methods in Applied Mechanics and Engineering | 2007 | 20 Pages |
Abstract
We work on a vorticity, velocity and pressure formulation of the bidimensional Stokes problem for incompressible fluids. In previous papers, the authors have developed a natural implementation of this scheme. We have then observed that, in case of unstructured meshes with Dirichlet boundary conditions on the velocity, the convergence is not optimal. In this paper, we propose to add “bubble” velocity functions with compact support along the boundary to improve convergence. We then prove a convergence theorem and illustrate by numerical results better behaviour of the scheme in general cases.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Michel Salaün, Stéphanie Salmon,