Gradient Schemes for incompressible steady Navier-Stokes problem

Robert Eymard (1) , Pierre Feron (1) , Cindy Guichard (2, 3)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées
2 ANGE - Numerical Analysis, Geophysics and Ecology
3 LJLL - Laboratoire Jacques-Louis Lions

We apply the Gradient Schemes framework to the approximation of the incompressible steady Navier-Stokes problem. We show that some classical schemes (Crouzeix-Raviart , conforming Taylor-Hood and MAC) enter into this framework .

Mots clés: Taylor - Hood scheme; Crouzeix - Raviart Scheme; Gradient Schemes; incompressible steady Navier - Stokes problem; MAC scheme

Domaines: Analyse numérique [math.NA]

Robert Eymard, Pierre Feron, Cindy Guichard. Gradient Schemes for incompressible steady Navier-Stokes problem. MAMERN VI–2015: 6 th International Conference on Approximation Methods and Numerical Modelling in Environment and Natural Resources, Université de Pau, Jun 2015, Pau, France. ⟨hal-01133268⟩