
Stabilized finite element methods: II. The incompressible Navier-Stokes equations
1992; Elsevier BV; Volume: 99; Issue: 2-3 Linguagem: Inglês
10.1016/0045-7825(92)90041-h
ISSN1879-2138
AutoresLeopoldo P. Franca, Sérgio Frey,
Tópico(s)Fluid Dynamics and Turbulent Flows
ResumoStabilized methods are proposed and analyzed for a linearized form of the incompressible Navier-Stokes equations. The methods are extended and tested for the nonlinear model. The methods combine the good features of stabilized methods already proposed for the Stokes flow and for advective-diffusive flows. These methods also generalize previous works restricted to low-order interpolations, thus allowing any combination of velocity and continuous pressure interpolations. A careful design of the stability parameters is suggested which considerably simplifies these generalizations.
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