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

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1. [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). Zbl0921.76168MR1675200
2. [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. Paris 299, Série II (1984). 
3. [3] Ch.-H. Bruneau, Numerical Simulation and Analysis of the Transition to Turbulence. 15th ICNMFD, Lect. Notes in Phys. 490 (1996). 
4. [4] Ch.-H. Bruneau, Numerical Simulation of incompressible flows and analysis of the solutions. CFD Review Vol. I (1998). Zbl0849.76044
5. [5] Ch.-H. Bruneau and E. Creusé, Towards a transparent boundary condition for compressible Navier-Stokes equations (submitted). Zbl1017.76050
6. [6] Ch.-H. Bruneau and P. Fabrie, Effective downstream boundary conditions for incompressible Navier-Stokes equations. Int. J. Numer. Methods in Fluids 19 (1994). Zbl0816.76024
7. [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). Zbl0865.76016MR1423081
8. [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. E 60, No. 2, (1999). 
9. [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. Paris 318, Série II, (1994). Zbl0795.76080
10. [10] J. R. Chasnov, The viscous-convective subrange in nonstationary turbulence. Phys. Fluids 10, No. 5, (1998). Zbl1185.76743MR1619206
11. [11] T. Colonius, S. K. Lele and M. Parviz, Boundary conditions for direct computation of aerodynamic sound generation. AIAA journal 31 (1993). Zbl0785.76069
12. [12] B. Enquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves. Math. Comp. 31 (1977). Zbl0367.65051MR436612
13. [13] P. M. Gresho, Incompressible fluid dynamics: some fundamental formulation issues. Ann. Rev. Fluid Mech. 23 (1991). Zbl0717.76006MR1090333
14. [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. [15] H. Kellay, X. L. Wu and W. I. Goldburg, Experiments with turbulent soap films. Phys. Rev. Lett. 74 (1995). 
16. [16] H. Kellay, X. L. Wu and W. I. Goldburg, Vorticity measurements in turbulent soap films. Phys. Rev. Lett. 80 (1998). 
17. [17] H. O. Kreiss, Initial boundary value problems for hyperbolic systems. Comm. P. App. Math. 23 (1970). Zbl0188.41102MR437941
18. [18] M. Marion and R. Temam, Navier-Stokes equations: theory and approximation. Handbook of numerical analysis, Vol. VI, (1998). Zbl0921.76040MR1665429
19. [19] T. J. Poinsot and S. K. Lele, Boundary conditions for direct simulations of compressible viscous flows. J. Comp. Phys. 101 (1992). Zbl0766.76084MR1173340
20. [20] D. H. Rudy and J. C. Strikwerda, A nonreflecting outflow boundary condition for subsonic Navier-Stokes calculations. J. Comp. Phys. 36 (1980). Zbl0425.76045MR571253
21. [21] J. C. Strikwerda, Initial boundary value problems for incompletely parabolic Systems. Comm. P. App. Math. 30 (1977). Zbl0351.35051MR460893
22. [22] R. Temam, Navier-Stokes equations and numerical analysis. North-Holland (1979). Zbl0426.35003MR603444
23. [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 Fluids 26 (1997). Zbl0962.76067
24. [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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