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Sani, R. L.; Gresho, P. M.; Lee, R. L.; Griffiths, D. F.

The cause and cure (?) of the spurious pressures generated by certain FEM solutions of the incompressible Navier-Stokes equations. I. (English) Zbl 0461.76021

Int. J. Numer. Methods Fluids 1, 17-43 (1981).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0461.76021

Cited in 2 Reviews
Cited in 56 Documents

MSC:

76D05 Navier-Stokes equations for incompressible viscous fluids
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

Keywords:

spurious pressures; penalty methods; pressure filters
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References:

[1] Taylor, Computers and Fluids 1 pp 73– (1973)
[2] and , ’Navier-Stokes equations using mixed interpolation,’ in Int. Symp. on Finite Element Method in Flow Problems. Proceedings, Swansea, Wales (1974).
[3] and , ’Primitive variables versus stream function finite element solutions of the Navier-Stokes equations,’ in Finite Elements in Fluids, Volume 3, Wiley, Chichester, (1978), pp. 73-89.
[4] ’Finite elements for incompressible flow,’ M.Sc. Dissertation, Dept. Math., University of Reading, UK (1978).
[5] Argyris, Comp. Methods Appl. Mech. and Eng. 4 pp 219– (1974)
[6] Nagtegaal, Comp. Methods Appl. Mech. and Eng. 4 pp 153– (1974)
[7] ’Bilinear finite elements for incompressible flow,’ M.Sc. Dissertation, Dept. Math., University of Dundee, Scotland (1977).
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[9] Hughes, J. Comp. Phys. 30 pp 1– (1979)
[10] Lee, Int. J. num. Meth. Engng. 14 pp 1785– (1979)
[11] ’Numerical solution of steady state Navier-Stokes equations,’ in Numerical Methods in Fluid Dynamics (Ed. ), Agard Lecture Series No. 48, AGARD-LS-48 (1972).
[12] and , ’BAAL: A code for calculating three-dimensional fluid flows at all speeds with an Eulerian-Lagrangian computing mesh,’ Los Alamos Scientific Laboratory Report LA-6342 (1976).
[13] Chorin, Math. of Comp 23 pp 341– (1969)
[14] and , ’On the spurious pressures generated by certain GFEM solutions of the incompressible Navier-Stokes equations,’ Third Int. Conf. on Finite Elements in Flow Problems, Proceedings, Banff, Alberta, Canada (1980). · Zbl 0446.76034
[15] ’Westinghouse Electric Corporation, Pittsburgh,’ PA, private communication (1979).
[16] Bercovier, J. Comp. Phys. 30 pp 181– (1979)
[17] and , ’On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions,’ in Recent Advances in Numerical Methods in Fluids, Pineridge Press, Swansea, U.K., (1980).
[18] Malkus, Comp. Methods Appl. Mech. and Eng. 15 pp 63– (1978)
[19] , and , in preparation.
[20] Fortin, RAIRO 11 pp 341– (1977)
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