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Volume 8, Number 3, 2018, Pages 690-709                                                                DOI:10.11948/2018.690
Far field boundary conditions for incompressible flows computation
Charles-Henri Bruneau and Sandra Tancogne
Keywords:Navier-Stokes equations, far field boundary conditions, flow rate conservation
      Many far field boundary conditions are proposed in the literature to solve Navier-Stokes equations. It is necessary to distinguish the streamwise or outlet boundary conditions and the spanwise boundary conditions. In the first case the flow crosses the artificial frontier and it is required to avoid reflections that can change significantly the flow. In the second case the Navier-slip boundary condition is often used but if the frontier is not far enough the boundary is both inlet and outlet. Thus the Navier-slip boundary condition is not well suited as it imposes no flux through the frontier. The aim of this work is to compare some well-known boundary conditions, to quantify to which extend the artificial frontier can be close to the bodies in two- and three-dimensions and to take into account the flow rate through the spanwise directions.
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