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Numerical stabilization of the Stokes problem in vorticity–velocity–pressure formulation

✍ Scribed by Michel Salaün; Stéphanie Salmon

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
414 KB
Volume
196
Category
Article
ISSN
0045-7825

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✦ Synopsis

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.

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