New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result

C.-H. Bruneau; P. Fabrie

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1996)

  • Volume: 30, Issue: 7, page 815-840
  • ISSN: 0764-583X

How to cite

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Bruneau, C.-H., and Fabrie, P.. "New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 30.7 (1996): 815-840. <http://eudml.org/doc/193825>.

@article{Bruneau1996,
author = {Bruneau, C.-H., Fabrie, P.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {flow behind obstacle channel; energy estimates; open boundaries; weak formulation; mixed formulation; existence},
language = {eng},
number = {7},
pages = {815-840},
publisher = {Dunod},
title = {New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result},
url = {http://eudml.org/doc/193825},
volume = {30},
year = {1996},
}

TY - JOUR
AU - Bruneau, C.-H.
AU - Fabrie, P.
TI - New efficient boundary conditions for incompressible Navier-Stokes equations : a well-posedness result
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1996
PB - Dunod
VL - 30
IS - 7
SP - 815
EP - 840
LA - eng
KW - flow behind obstacle channel; energy estimates; open boundaries; weak formulation; mixed formulation; existence
UR - http://eudml.org/doc/193825
ER -

References

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  1. [1] R. A. ADAMS, 1975, Sobolev spaces, Academic press, New-York. Zbl0314.46030MR450957
  2. [2] C. BÈGUE, C. CONCA, F. MURAT and O. PIRONNEAU, 1987, A nouveau sur les équations de Stokes et de Navier-Stokes avec des conditions aux limites sur la pression, C. R. Acad. Sci. Parts, 304 série I, pp. 23-28. Zbl0613.76029MR878818
  3. [3] Ch.-H. BRUNEAU and P. FABRIE, 1994, Effective downstream boundary conditions for incompressible Navier-Stokes equations. Int. J. for Num. Methods in Fluids, 19, pp. 693-705. Zbl0816.76024
  4. [4] C. CONCA, 1984, Approximation de quelques problèmes de type Stokes par une méthode d'éléments finis mixtes. Numer. Math., 45, pp. 75-91. Zbl0523.34009MR761881
  5. [5] G. DUVAUD, J. L. LIONS, 1972, Les inéquations en mécanique et en physique, Dunod. Zbl0298.73001MR464857
  6. [6] V. GlRAULT et P. A. RAVIART, 1986, Finite elements method for Navier Stokes equations, Springer Series in Computational Mathematics. MR851383
  7. [7] P. M. GRESHO, 1991, Incompressible fluid dynamics: Some fundamental formulation issues. Annu. Rev. Fluid Mech., 23, pp. 413-453. Zbl0717.76006MR1090333
  8. [8] L. HALPERN, 1986, Artificial boundary conditions for the linear advection diffusion equation, Math. Comp., 46, pp. 425-438. Zbl0649.35041MR829617
  9. [9] L. HALPERN and M. SCHATZMAN, 1989, Artificial boundary conditions for incompressible viscous flows. SIAM J. Math. Anal., 20, pp. 308-353. Zbl0668.76048MR982662
  10. [10] J. L. LIONS, 1979, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris. Zbl0189.40603
  11. [11] R. PEYRET and B. REBOURCET, 1982, Développement de jets en fluides stratifiés, Journal de Mécanique Théorique et Appliquée, 1, pp. 467-491. Zbl0543.76014
  12. [12] O. PIRONNEAU, 1986, Conditions aux limites sur la pression pour les équations de Stokes et de Navier-Stokes, C. R. Acad. Sci. Paris, 303, série I, pp. 403-40. Zbl0613.76028MR862203
  13. [13] R. TEMAM, 1993, Navier-Stokes Equations and Nonlinear Functional Analysis, Regional conference series in applied mathematics. Zbl0833.35110
  14. [14] R. TEMAM, 1979, Navier-Stokes Equations and numencal Analysis, 2nd ed. North-Holland, Amsterdam. Zbl0426.35003MR603444

Citations in EuDML Documents

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  1. Charles-Henri Bruneau, Boundary conditions on artificial frontiers for incompressible and compressible Navier-Stokes equations
  2. Charles-Henri Bruneau, Boundary conditions on artificial frontiers for incompressible and compressible Navier-Stokes equations
  3. Paul Deuring, Stability of a finite element method for 3D exterior stationary Navier-Stokes flows
  4. Martin Lanzendörfer, Jan Stebel, On pressure boundary conditions for steady flows of incompressible fluids with pressure and shear rate dependent viscosities

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