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Finite Element Solution of a Stream Function-Vorticity System and Its Application to the Navier Stokes Equations
Equipe Modélisation Mathématique et Simulation, Faculté des Sciences Université Ibn Zohr, Agadir, Maroc
Institut Jean Rond d’Alembert/CNRS, UPMC Université, Paris, France
Equipe Modélisation Mathématique et Simulation, Faculté des Sciences Université Ibn Zohr, Agadir, Maroc
- 1 Equipe Modélisation Mathématique et Simulation, Faculté des Sciences Université Ibn Zohr, Agadir, Maroc
- 2 Institut Jean Rond d’Alembert/CNRS, UPMC Université, Paris, France
- 3 Equipe Modélisation Mathématique et Simulation, Faculté des Sciences Université Ibn Zohr, Agadir, Maroc
Applied Mathematics·Volume 04 (2013)·Pages 257–262·Published 30 January 2013·DOI10.4236/am.2013.41A039
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Abstract
The finite element solution of a generalized Stokes system in terms of the flow variables stream function and vorticity is studied. This system results from a time discretization of the time-dependent Stokes system in stream function-vorticity formulation, or yet by the application of the characteristics method to solve the Navier-Stokes equations in the same representation. Numerical results presented for both cases illustrate the good behaviour of the adopted approach.
KeywordsCharacteristics MethodNavier-StokesStream FunctionVorticity
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