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Effective downstream boundary conditions for incompressible Navier–Stokes equations
Author(s) -
Bruneau Ch.H.,
Fabrie P.
Publication year - 1994
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650190805
Subject(s) - compressibility , mechanics , navier–stokes equations , different types of boundary conditions in fluid dynamics , incompressible flow , boundary value problem , mathematics , vortex , pressure correction method , inertial frame of reference , boundary conditions in cfd , mathematical analysis , physics , classical mechanics , no slip condition , free boundary problem , robin boundary condition , mixed boundary condition
The aim of this paper 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.