Comparison of computations of asymptotic flow models in a constricted channel

Franz Chouly (1) , Pierre-Yves Lagrée (2)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 DALEMBERT - Institut Jean Le Rond d'Alembert

We aim at comparing computations with asymptotic models issued from incom- pressible Navier-Stokes at high Reynolds number: the Reduced Navier-Stokes/Prandtl (RNS/P) equations and the Double Deck (DD) equations. We treat the case of the steady two dimensional flow in a constricted pipe. In particular, finite differences and finite element solvers are compared for the RNS/P equations. It results from this study that the two codes compare well. Numerical examples also illustrate the interest of these asymptotic models as well as the flexibility of the finite element solver.

Mots clés: Boundary Layer; Triple Deck; Double Deck; Boundary Layer.

Domaines: Analyse numérique [math.NA]; Mécanique des fluides [physics.class-ph]; Mécanique des fluides [physics.class-ph]

Franz Chouly, Pierre-Yves Lagrée. Comparison of computations of asymptotic flow models in a constricted channel. Applied Mathematical Modelling, 2012, pp.In Press. ⟨10.1016/j.apm.2012.01.035⟩. ⟨hal-00714429⟩