Tuning the mesh of a mixed method for the stream function Vorticity formulation of the Navier-Stokes equations |
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| Authors: | Yves Achdou Roland Glowinski Olivier Pironneau |
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| Affiliation: | (1) Courant Institute, N.Y., 4 place Jussieu, F-75005 Paris, France;(2) Institute of Mathematics, University of Houston, 77204-3476 Houston, TX, USA;(3) Université Paris 6 and INRIA, B.P. 105, F-78153 Le Chesnay, France |
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| Abstract: | Summary In this article we study a new mixed method for the Stokes and Navier-Stokes equations. The method uses two meshes, one very fine for  and a coarser one for  . Error estimates show that boundary layers do not require to refine the mesh for the stream function as much as for the vorticity when the Reynolds number is large. We prove estimates and study implementation problems. |
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| Keywords: | 35Q30 65N30 76D05 |
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