Improvements on open and traction boundary conditions for Navier-Stokes time-splitting methods

Authors:
A. Poux;S. Glockner;M. Azaïez
Affiliations:
Université de Bordeaux, UMR CNRS 5295, IPB, 16 avenue Pey-Berland, 33607 Pessac, France;Université de Bordeaux, UMR CNRS 5295, IPB, 16 avenue Pey-Berland, 33607 Pessac, France;Université de Bordeaux, UMR CNRS 5295, IPB, 16 avenue Pey-Berland, 33607 Pessac, France
Venue:
Journal of Computational Physics
Year:
2011

Citing 11
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Abstract

We present in this paper a numerical scheme for incompressible Navier-Stokes equations with open and traction boundary conditions, in the framework of pressure-correction methods. A new way to enforce this type of boundary condition is proposed and provides higher pressure and velocity convergence rates in space and time than found in the present state of the art. We illustrate this result by computing some numerical and physical tests. In particular, we establish reference solutions of a laminar flow in a geometry where a bifurcation takes place and of the unsteady flow around a square cylinder.