Effective downstream boundary conditions for incompressible Navier-Stokes equations. (English) Zbl 0816.76024

Summary: The aim is to give open boundary conditions for the incompressible Navier-Stokes equations. From a weak formulation in velocity-pressure variables, some natural boundary conditions involving the traction or pseudotraction and inertial terms are established. Numerical experiments on the flow behind a cylinder show the efficiency of these conditions, which convey properly the vortices downstream. Comparisons with other boundary conditions for the velocity and pressure are also performed.


76D05 Navier-Stokes equations for incompressible viscous fluids
76M99 Basic methods in fluid mechanics
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