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

Salaün, Michel and Salmon, Stéphanie Numerical stabilization of the Stokes problem in vorticity–velocity–pressure formulation. (2007) Computer Methods in Applied Mechanics and Engineering, 196 (9-12). 1767-1786. ISSN 0045-7825

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Official URL: http://dx.doi.org/10.1016/j.cma.2006.09.015


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.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com. The original PDF of the article can be found at Computer Methods in Applied Mechanics and Engineering website : http://www.sciencedirect.com/science/journal/00457825
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > Université Louis Pasteur-Strasbourg I - ULP (FRANCE)
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Deposited On:18 Apr 2013 15:43

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