×

zbMATH — the first resource for mathematics

Effective downstream boundary conditions for incompressible Navier-Stokes equations. (English) Zbl 0816.76024
Summary: The aim is to give open boundary conditions for the incompressible Navier-Stokes equations. From a weak formulation in velocity-pressure variables, some natural boundary conditions involving the traction or pseudotraction and inertial terms are established. Numerical experiments on the flow behind a cylinder show the efficiency of these conditions, which convey properly the vortices downstream. Comparisons with other boundary conditions for the velocity and pressure are also performed.

MSC:
76D05 Navier-Stokes equations for incompressible viscous fluids
76M99 Basic methods in fluid mechanics
PDF BibTeX XML Cite
Full Text: DOI
References:
[1] Gresho, Ann. Rev. Fluid Mech. 23 pp 413– (1991)
[2] Peyret, J. Méc. Théor. Appl. 1 pp 467– (1982)
[3] Pironneau, C. R. Acad. Sci. Paris, Sér. I 303 pp 403– (1986)
[4] Bégue, C. R. Acad. Sci. Paris, Sér, I 304 pp 23– (1987)
[5] , and , ’Les équations de Stokes et de Navier-Stokes avec des conditions aux limites sur la pression’, in and (eds), Pitman Research Notes in Mathematics Series, 181, Nonlinear Partial Differential Equations and Their Applications, Collège de France Seminar IX, Pitman, London, 1988, pp. 179-264.
[6] Halpern, Math. Comput. 46 pp 425– (1986)
[7] Halpern, SIAM J. Math. Anal. 20 pp 308– (1989)
[8] Conca, Numer. Math. 45 pp 75– (1984)
[9] Ganesh, Int. j. numer. methods fluids 13 pp 557– (1991)
[10] Gresho, Int. j. numer. methods fluids 11 pp 587– (1990)
[11] Verfürth, Numer. Math. 50 pp 697– (1987)
[12] Verfürth, Numer, Math. 59 pp 615– (1991)
[13] and , ’New efficient boundary conditions for incompressible Navier-Stokes equations: a well-posedness result’, submitted. · Zbl 0865.76016
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.