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Remark on the pressure boundary condition for the projection method

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Abstract

Much has been said about the pressure boundary condition for the projection method, which is different from the actual boundary condition satisfied by the pressure in the Navier-Stokes equations. In this short note we present a different point of view which resolves the difficulty and we show how this point of view agrees with previous results.

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References

  • J. Bell, P. Colella, and H. Glaz (1989).

  • A.J. Chorin (1967), Bull. Amer. Math. Soc., 73, 928–931.

    Google Scholar 

  • A.J. Chorin (1968a), Math. Comp., 22, 745–762.

    Google Scholar 

  • A.J. Chorin (1968b), Stud. Numer. Anal., 2, 64–71.

    Google Scholar 

  • A.J. Chorin (1969), Math. Comp., 23, 341–353.

    Google Scholar 

  • M. Fortin, R. Peyret, and R. Temam (1971), J. Méc., 10, 357–390.

    Google Scholar 

  • P.M. Gresho and S.T. Chan (1990), Internat. J. Numer. Methods Fluids, 11, 621–659.

    Google Scholar 

  • J. Kim and P. Moin (1985), J. Comp. Phys., 59, 308–323.

    Google Scholar 

  • S.A. Orszag, M. Israeli, and M. Deville (1986), J. Sci. Comp., 1.

  • J. Shen (1991), An optimal error estimate of the projection method for the Navier-Stokes equations: First-order schemes, Preprint, Institute for Applied Mathematics and Scientific Computating, Indiana University. To appear in SIAM J. Numer. Anal.

  • R. Temam (1966), C. R. Acad. Sci. Paris Sér. A, 262, 219–221; 263, 241–244, 265–267, 459–462.

    Google Scholar 

  • R. Temam (1968a), Bull. Soc. Math. France, 98, 115–152.

    Google Scholar 

  • R. Temam (1968b), Ann. Mat. Pura Appl. (4), LXXIV, 191–380.

    Google Scholar 

  • R. Temam (1969a), Arch. Rational Mech. Anal., 32, 135–153.

    Google Scholar 

  • R. Temam (1969b), Arch. Rational Mech. Anal. 33, 377–385.

    Google Scholar 

  • R. Temam (1977), Navier-Stokes Equations, North-Holland, Amsterdam.

    Google Scholar 

  • J. Van Kan (1986), SIAM J. Sci. Statist. Comput., 7, 870–891.

    Google Scholar 

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Authors and Affiliations

  1. Laboratoire d'Analyse Numérique, Université Paris-Sud, Bât. 425, 91405, Orsay, France

    R. Temam

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  1. R. Temam
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Communicated by M.Y. Hussaini

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Temam, R. Remark on the pressure boundary condition for the projection method. Theoret. Comput. Fluid Dynamics 3, 181–184 (1991). https://doi.org/10.1007/BF00271801

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  • DOI: https://doi.org/10.1007/BF00271801

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