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A new uncoupled formulation of the 2-D velocity-vorticity system

✍ Scribed by J. Zhu

Book ID
104349939
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
282 KB
Volume
10
Category
Article
ISSN
0893-9659

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✦ Synopsis

The 2-D velocity-vorticity formulation of the Stokes equations is considered in this work. A rigorous study of the variational framework and the equivalence between the standard velocity-pressure formulation and such velocity-vorticity formulation is presented. A symmetric uncoupled solution scheme is derived by discovering a handy property of the curl operator.

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## Communicated by J. C. Nedelec This work studies the three-dimensional Stokes problem expressed in terms of vorticity and velocity variables. We make general assumptions on the regularity and the topological structure of the flow domain: the boundary is Lipschitz and possibly non-connected and t