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Motion of a two-dimensional monopolar vortex in a bounded rectangular domain

J.H.G.M. van Geffen, V.V. Meleshko and G.J.F. van Heijst
Physics of Fluids 8, 2393-2399 (1996)

References

  1. H. Villat, Leçons sur la Théorie des Tourbillons (Gauthier-Villars, Paris, 1930).
  2. W. Müller, "Bewegung von Wirbeln in einer idealen Flüssigkeit unter dem Einfluss von ebenen Wänden," Z. Angew. Math. Mech. 10, 227 (1930).
  3. P.G. Saffman, Vortex Dynamics (Cambridge University Press, Cambridge, 1992)
  4. P. Orlandi, "Vortex dipole rebound from a wall," Phys. Fluids A 2, 1429 (1990).
  5. R. Verzicco, J.-B. Flór, G.J.F. van Heijst and P. Orlandi, "Numerical and experimental study of the interaction between a vortex dipole and a circular cylinder," Exp. Fluids 18, 153 (1995).
  6. P.G. Saffman and G.R. Baker, "Vortex interactions," Ann. Rev. Fluid Mech. 11, 95 (1979).
  7. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
  8. K. Terazawa, "On the decay of vortical motion in a viscous fluid," Rep. Aeronaut. Res. Inst. - Tôkyô Imp. Univ. 1, N4 (1922).
  9. A.I. Nekrassow, "On the diffusion of a vortex in a viscous fluid," Trans. Central Aero-Hydrodyn. Inst. N 84, 1 (1931).
  10. J.A. Van de Konijnenberg, Spin-up in non-axisymmetric containers, Ph.D. Thesis, Eindhoven University of Technology, The Netherlands, 1995, Appendix A.
  11. H.J.H. Clercx, "A spectral solver for the Navier-Stokes equations in the velocity-vorticity formulation for flows with non-periodic directions," submitted to J. Comput. Phys. (1996)


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