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All issues Volume 35 / No 2 (March/April 2001) ESAIM: M2AN, 35 2 (2001) 313-330 References
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Issue
ESAIM: M2AN
Volume 35, Number 2, March/April 2001
Page(s) 313 - 330
DOI https://doi.org/10.1051/m2an:2001117
Published online 15 April 2002
  1. C.R. Anderson, Vorticity boundary conditions and boundary vorticity generation for two-dimensional viscous incompressible flows. J. Comp. Phys. 80 (1989) 72-97. [CrossRef] [Google Scholar]
  2. J.B. Bell, P. Colella and H.M. Glaz, A second-order projection method for the incompressible navier-stokes equations. J. Comp. Phys. 85 (1989) 257-283. [Google Scholar]
  3. M. Ben-Artzi, Vorticity dynamics in planar domains. (In preparation). [Google Scholar]
  4. M. Ben-Artzi, Global solutions of two-dimensional navier-stokes and euler equations. Arch. Rat. Mech. Anal. 128 (1994) 329-358. [CrossRef] [Google Scholar]
  5. P. Bjorstad, Fast numerical solution of the biharmonic dirichlet problem on rectangles. SIAM J. Numer. Anal. 20 (1983) 59-71. [CrossRef] [MathSciNet] [Google Scholar]
  6. A.J. Chorin, Numerical solution of the navier-stokes equations. Math. Comp. 22 (1968) 745-762. [Google Scholar]
  7. A.J. Chorin, Vortex sheet approximation of boundary layers. J. Comp. Phys. 27 (1978) 428-442. [CrossRef] [Google Scholar]
  8. A.J. Chorin and J.E. Marsden, A mathematical introduction to fluid mechanics. 2nd edn., Springer-Verlag, New York (1990). [Google Scholar]
  9. E.J. Dean, R. Glowinski and O. Pironneau, Iterative solution of the stream function-vorticity formulation of the stokes problem, application to the numerical simulation of incompressible viscous flow. Comput. Method Appl. Mech. Engrg. 87 (1991) 117-155. [CrossRef] [Google Scholar]
  10. S.C.R. Dennis and L. Quartapelle, Some uses of green's theorem in solving the navier-stokes equations. Internat. J. Numer. Methods Fluids 9 (1989) 871-890. [CrossRef] [MathSciNet] [Google Scholar]
  11. W. E and J.-G. Liu, Essentially compact schemes for unsteady viscous incompressible flows. J. Comp. Phys. 126 (1996) 122-138. [CrossRef] [Google Scholar]
  12. W. E and J.-G. Liu, Vorticity boundary condition and related issues for finite difference scheme. J. Comp. Phys. 124 (1996) 368-382. [CrossRef] [MathSciNet] [Google Scholar]
  13. W. E and J.-G. Liu, Finite difference methods for 3-d viscous incompressible flows in the vorticity-vector potential formulation on nonstaggered grids. J. Comp. Phys. 138 (1997) 57-82. [CrossRef] [Google Scholar]
  14. D. Fishelov, Simulation of three-dimensional turbulent flow in non-cartesian geometry. J. Comp. Phys. 115 (1994) 249-266. [CrossRef] [Google Scholar]
  15. U. Ghia, K.N. Ghia and C.T. Shin, High-re solutions for incompressible flow using the navier-stokes equations and a multigrid method. J. Comp. Phys. 48 (1982) 387-411. [Google Scholar]
  16. R. Glowinski, Personal communication. [Google Scholar]
  17. P.M. Gresho, Incompressible fluid dynamics: some fundamental formulation issues. Ann. Rev. Fluid Mech. 23 (1991) 413-453. [CrossRef] [Google Scholar]
  18. P.M. Gresho and S.T. Chan, On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix, parts I-II. Internat. J. Numer. Methods Fluids 11 (1990) 587-659. [Google Scholar]
  19. K.E. Gustafson and J.A. Sethian (Eds.), Vortex methods and vortex motion. SIAM, Philadelphia (1991). [Google Scholar]
  20. R.R. Hwang and C-C. Yao, A numerical study of vortex shedding from a square cylinder with ground effect. J. Fluids Eng. 119 (1997) 512-518. [CrossRef] [Google Scholar]
  21. K.M. Kelkar and S.V. Patankar, Numerical prediction of vortex sheddind behind a square cylinder. Internat. J. Numer. Methods Fluids 14 (1992) 327-341. [CrossRef] [Google Scholar]
  22. O.A. Ladyzhenskaya, The mathematical theory of viscous incompressible flow. Gordon and Breach, New York (1963). [Google Scholar]
  23. L.D. Landau and E.M. Lifshitz, Fluid mechanics, Chap. II, Sec. 15. Pergamon Press, New York (1959). [Google Scholar]
  24. J. Leray, Etudes de diverses equations integrales non lineaires et des quelques problemes que pose l'hydrodynamique. J. Math. Pures Appl. 12 (1933) 1-82. [Google Scholar]
  25. D.A. Lyn, S. Einav, S. Rodi and J.H. Park, A laser-doppler velocometry study of ensemble-averaged characteristics of the turbulent near wake of a square cylinder. J. Fluid Mech. 304 (1995) 285-319. [CrossRef] [Google Scholar]
  26. S.A. Orszag and M. Israeli, in Numerical simulation of viscous incompressible flows, M. van Dyke, W.A. Vincenti, J.V. Wehausen, Eds., Ann. Rev. Fluid Mech. 6 (1974) 281-318. [CrossRef] [Google Scholar]
  27. T.W. Pan and R. Glowinski, A projection/wave-like equation method for the numerical simulation of incompressible viscous fluid flow modeled by the navier-stokes equations. Comput. Fluid Dynamics 9 (2000). [Google Scholar]
  28. O. Pironneau, Finite element methods for fluids. John Wiley & Sons, New York (1989). [Google Scholar]
  29. L. Quartapelle, Numerical solution of the incompressible Navier-Stokes equations. Birkhauser Verlag, Basel (1993). [Google Scholar]
  30. L. Quartapelle and F. Valz-Gris, Projection conditions on the vorticity in viscous incompressible flows. Internat. J. Numer. Methods Fluids 1 (1981) 129-144. [CrossRef] [MathSciNet] [Google Scholar]
  31. R. Temam, Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires II. Arch. Ration. Mech. Anal. 33 (1969) 377-385. [Google Scholar]
  32. R. Temam, Navier-Stokes Equations. North-Holland, Amsterdam (1979). [Google Scholar]
  33. T.E. Tezduyar, J. Liou, D.K. Ganjoo and M. Behr, Solution techniques for the vorticity-streamfunction formulation of the two-dimensional unsteady incompressible flows. Internat. J. Numer. Methods Fluids 11 (1990) 515-539. [CrossRef] [MathSciNet] [Google Scholar]

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