Simulation numerique des modeles de O.A. Ladyzhenskaya par Ia methode des elements finis
Keywords:
Navier-Stockes, Ladyzhenskaya models, variable viscosity, finite element, nonlinear systemAbstract
ABS11lACT. In this paper we study the finite element approximalion of the first and the second models for the motion of incompressible viscous flows proposed by 0 .A. Ladyzhenskaya. The uniqueness result of the weak and discrete formulations associaled with the problem : { roL( (vo + vdroL ui•-l] roLu)- gr;_d ( (v0 + vddivul'-2] divu) + u.'llu + gr;_dp = f in 0 divu = 0 inn u=O ~r are established. Numerical results for these two models on a driven cavity problem are the presented and discussed.
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