A coupling of stationary navier-stokes equations for two fluids with non-linear interface condition
Résumé
We study a coupled system of two Navier-Stokes equations with a non-linear friction condition at the interface between the two fluids. In a first part, we prove the existence of weak solutions in the proper functional spaces. To do that, we use a potential vector method to get the pressure as a function of the velocity, which allows us to obtain error estimates and to conclude using a fixed point argument. In a second part we develop a numerical finite elements iterative method which leads us to error estimates and numerical simulations with Freefem++ for different sets of data.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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