Boundary conditions on artificial frontiers for incompressible and compressible Navier-Stokes equations

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1. Ph. Angot, Ch.-H. Bruneau and P. Fabrie, A penalization method to take into account obstacles in incompressible viscous flows. Numer. Math.81 (1999).  
2. E. Arquis and J. P. Caltagirone, Sur les conditions hydrodynamiques au voisinage d'une interface milieu fluide - milieu poreux: application à la convection naturelle. C. R. Acad. Sci. Paris299, Série II (1984).  
3. Ch.-H. Bruneau, Numerical Simulation and Analysis of the Transition to Turbulence. 15th ICNMFD, Lect. Notes in Phys.490 (1996).  
4. Ch.-H. Bruneau, Numerical Simulation of incompressible flows and analysis of the solutions. CFD Review Vol. I (1998).  
5. Ch.-H. Bruneau and E. Creusé, Towards a transparent boundary condition for compressible Navier-Stokes equations (submitted).  
6. Ch.-H. Bruneau and P. Fabrie, Effective downstream boundary conditions for incompressible Navier-Stokes equations. Int. J. Numer. Methods in Fluids19 (1994).  
7. Ch.-H. Bruneau and P. Fabrie, New efficient boundary conditions for incompressible Navier-Stokes equations: a well-posedness result. Mod. Math. Anal. Num.30 (1996).  
8. Ch.-H. Bruneau, O. Greffier and H. Kellay, Numerical study of grid turbulence in two dimensions and comparison with experiments on turbulent soap films. Phys. Rev. E60, No. 2, (1999).  
9. J.P. Caltagirone, Sur l'interaction fluide-milieu poreux: application au calcul des efforts exercés sur un obstacle par un fluide visqueux. C.R. Acad. Sci. Paris318, Série II, (1994).  
10. J.R. Chasnov, The viscous-convective subrange in nonstationary turbulence. Phys. Fluids10, No. 5, (1998).  
11. T. Colonius, S.K. Lele and M. Parviz, Boundary conditions for direct computation of aerodynamic sound generation. AIAA journal31 (1993).  
12. B. Enquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves. Math. Comp.31 (1977).  
13. P.M. Gresho, Incompressible fluid dynamics: some fundamental formulation issues. Ann. Rev. Fluid Mech.23 (1991).  
14. H. Kellay, Ch.-H. Bruneau, A. Belmonte and X. L. Wu, Probability density functions of the enstrophy flux in two dimensional grid turbulence. Phys. Rev. Lett. (to appear).  
15. H. Kellay, X.L. Wu and W. I. Goldburg, Experiments with turbulent soap films. Phys. Rev. Lett.74 (1995).  
16. H. Kellay, X.L. Wu and W.I. Goldburg, Vorticity measurements in turbulent soap films. Phys. Rev. Lett.80 (1998).  
17. H.O. Kreiss, Initial boundary value problems for hyperbolic systems. Comm. P. App. Math.23 (1970).  
18. M. Marion and R. Temam, Navier-Stokes equations: theory and approximation. Handbook of numerical analysis, Vol. VI, (1998).  
19. T.J. Poinsot and S.K. Lele, Boundary conditions for direct simulations of compressible viscous flows. J. Comp. Phys.101 (1992).  
20. D.H. Rudy and J.C. Strikwerda, A nonreflecting outflow boundary condition for subsonic Navier-Stokes calculations. J. Comp. Phys.36 (1980).  
21. J.C. Strikwerda, Initial boundary value problems for incompletely parabolic systems. Comm. P. App. Math.30 (1977).  
22. R. Temam, Navier-Stokes equations and numerical analysis. North-Holland (1979).  
23. B. Wasistho, B.J. Geurts and J.G.M. Kuerten, Simulation techniques for spatially evolving instabilities in compressible flows over a flat plate. Computers and Fluids26 (1997).  
24. C.H. Williamson, Oblique and parallel modes of vortex shedding in the wake of a circular cylinder at low Reynolds numbers. J. Fluid Mech.206 (1989).  

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