Equipe Modélisation Mathématique et Simulation, Faculté des Sciences Université Ibn Zohr, Agadir, Maroc. Institut Jean Rond d’Alembert/CNRS, UPMC Université, Paris, France.
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.
F. Ghadi, V. Ruas and M. Wakrim, "Finite Element Solution of a Stream Function-Vorticity System and Its Application to the Navier Stokes Equations," Applied Mathematics, Vol. 4 No. 1, 2013, pp. 257-262. doi: 10.4236/am.2013.41A039.
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