Uncoupled ω-ψ formulation for plane flows in multiply connected domains

Mathematical Models and Methods in Applied Sciences

Volumn 7, Issue 6, 1997, Pages 731-767

  Guermond, J L ^a   Quartapelle, L ^b  

^a CNRS   (France)

^b POLITECNICO DI MILANO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040025542     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/s0218202597000396     Document Type: Article

References (21)

1. H. M. Badr and S. C. R. Dennis, Time-dependent viscous flow past an impulsively started rotating and translating circular cylinder, J. Fluid Mech. 158 (1985) 447-488.
2. H. M. Badr, S. C. R. Dennis and P. J. S. Young, Steady and unsteady flow past a rotating circular cylinder at low Reynolds numbers, Comput. Fluids 17 (1989) 579-609.
3. O. Daube, "An influence matrix technique for the resolution of the 2d Navier-Stokes equations in velocity-vorticity formulation", in Int. Conf. Numerical Methods in Laminar and Turbulent Flows, Stanford, 1992, pp. 1306-1316.
4. G. B. Deng, E. Guilmineau, J. Piquet, P. Queutey and M. Visonneau, Computation of unsteady laminar viscous flow past an airfoil using the CPI method, Internat. J. Numer. Methods Fluids 19 (1994) 765-794.
5. G. De Rham, Variété Differentiables (Hermann, 1973).
6. J. A. George, An automatic one-way dissection algorithm, for irregular finite element problems, SIAM J. Numer. Anal. 17 (1980) 740-751.
7. V. Girault and P.-A. Raviart, Finite Element Methods for Navier-Stokes Equations, Springer Series in Computational Mathematics, Vol. 5 (Springer-Verlag, 1986).
8. R. Glowinski and O. Pironneau, Numerical methods for the first biharmonic equation and for the two-dimensional Stokes problem, SIAM Rev. 12 (1979) 167-212.
9. J.-L. Guermond, S. Huberson and W.-Z. Shen, Simulation of 2D external viscous flows by means of a domain decomposition method, J. Comput. Phys. 108 (1993) 343-352.
10. J.-L. Guermond and L. Quartapelle, Equivalence of u-p and ζ-ψ formulations of the time-dependent Navier-Stokes equations, Internat. J. Numer. Meth. Fluids 18 (1994) 471-487.
11. J.-L. Guermond and L. Quartapelle, Calculations of incompressible viscous flows by an unconditionally stable projection FEM, J. Comput. Phys. 132 (1997) 12-33.
12. J.-L. Lions, Quelques Méthodes de Résolution des Problèmes aux Limites Non Linéaires (Gauthier-Villars, 1969).
13. A. Mizukami, A stream function-vorticity finite element formulation for Navier-Stokes equations in multi-connected domain, Internat. J. Numer. Methods. Engrg. 19 (1983) 1403-1420.
14. I. R. M. Moir, Measurements on a two-dimensional aerofoil with high-lift devices, Agard Advisory Report 303, August 1994.
15. G. A. Osswald, K. N. Ghia and U. Ghia, A direct implicit methodology for the simulation of the rapid pitch-up of an airfoil with and without leading-edge flow control, in Thirteenth International Conference on Numerical Methods in Fluid Dynamics, eds. M. Napolitano and F. Sabetta (Springer-Verlag, 1993), pp. 463-467.
16. L. Quartapelle, Numerical Solution of the Incompressible Navier-Stokes Equations, ISNM, Vol. 113 (Birkhäuser, 1993).
17. S. Rebay, Efficient unstructured mesh generation by means of Delaunay triangulation and Bowyer-Watson algorithm, J. Comput. Phys. 106 (1993) 125-138.
18. W.-Z. Shen and T.-P. Loc, Simulation of 2d external viscous flows by means of a domain decomposition method using an influence matrix technique, Internat. J. Numer. Methods Fluids 20 (1995) 1111-1136.
19. T. Stella and G. Guj, Vorticity-velocity formulation in the computation of flows in multi-connected domains, Internat. J. Numer. Methods. Fluids 9 (1989) 1285-1298.
20. R. Temam, Navier-Stokes Equations, Studies in Mathematics and its Applications (North-Holland, 1977).
21. K. Yosida, Functional Analysis (Springer-Verlag, 1965).