TITLE:
Finite Element Solution of a Stream Function-Vorticity System and Its Application to the Navier Stokes Equations
AUTHORS:
Fattehallah Ghadi, Vitoriano Ruas, Mohamed Wakrim
KEYWORDS:
Characteristics Method; Navier-Stokes; Stream Function; Vorticity
JOURNAL NAME:
Applied Mathematics,
Vol.4 No.1A,
January
30,
2013
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.