FAR FIELD BOUNDARY CONDITIONS FOR INCOMPRESSIBLE FLOWS COMPUTATION

Charles-Henri Bruneau; Sra Tancogne

doi:10.11948/2018.690

2018 Volume 8 Issue 3

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Charles-Henri Bruneau, Sra Tancogne. FAR FIELD BOUNDARY CONDITIONS FOR INCOMPRESSIBLE FLOWS COMPUTATION[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 690-709. doi: 10.11948/2018.690

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Charles-Henri Bruneau, Sra Tancogne. FAR FIELD BOUNDARY CONDITIONS FOR INCOMPRESSIBLE FLOWS COMPUTATION[J]. Journal of Applied Analysis & Computation, 2018, 8(3): 690-709. doi: 10.11948/2018.690

FAR FIELD BOUNDARY CONDITIONS FOR INCOMPRESSIBLE FLOWS COMPUTATION

1 Univ. Bordeaux IMB, INRIA Bordeaux Sud-Ouest MEMPHIS, CNRS UMR5251, F-33405 Talence, France;
2 Univ. de Reims Champagne-Ardenne, Laboratoire de Mathématiques B. P. 1039, F-51687 Reims, France

Abstract

Abstract

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 Navierslip 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.
- Navier-Stokes equations /
- far field boundary conditions /
- flow rate conservation
MSC: 65M55;76D05

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References

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