The motion of a vortex near two circular cylinders

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 460, Issue 2044, 2004, Pages 939-954

  Johnson, E R ^a   McDonald, N Robb ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Geophysical fluid dynamics; Hamiltonian dynamics; Vortex dynamics

Indexed keywords

ARTICLE; COLLISIONALLY ACTIVATED DISSOCIATION; DEFORMITY; FLUID FLOW; MATHEMATICAL ANALYSIS; MOLECULAR DYNAMICS; MOLECULAR MODEL; PHASE SEPARATION; ROTATION; TECHNIQUE; VORTEX MOTION;

EID: 1642525852     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2003.1193     Document Type: Article

References (18)

1. Deem, G. S. & Zabusky, N. J. 1978 Vortex waves: stationary 'V states', interactions, recurrence and breaking. Phys. Rev. Lett. 40, 859-862.
2. Dewar, W. K. 2002 Baroclinic eddy interaction with isolated topography. J. Phys. Oceanogr. 32, 2789-2805.
3. Dritschel, D. G. 1988 Contour surgery: a topological reconnection scheme for extended integrations using contour dynamics. J. Computat. Phys. 77, 240-266.
4. Fratantoni, D., Johns, W. E. & Townsend, T. 1995 Rings of the north Brazil current: their structure and behavior inferred from observations and a numerical simulations. J. Geophys. Res. 100, 10 633-10 654.
5. Henrici, P. 1986 Applied and computational complex analysis, vol. 3. Wiley-Interscience.
6. Johnson, E. R. 1989 Scattering of shelf waves by islands. J. Phys. Oceanogr. 19, 1311-1316.
7. Johnson, E. R. & Clarke, S. R. 1998 The evolution of inviscid vortical boundary layers. In Numerical methods for fluid dynamics (ed. M. J. Baines & K. W. Morton), vol. 7, pp. 83-97. Oxford University Press.
8. Johnson, E. R. & McDonald, N. R. 2004 Vortices near barriers with multiple gaps. (In preparation.)
9. McDonald, N. R. 1999 The motion of geophysical vortices. Phil. Trans. R. Soc. Lond. 357, 3427-3444.
10. Milne-Thompson, L. M. 1955 Theoretical hydrodynamics. Macmillan.
11. Morse, P. M. & Feshbach, H. 1953 Methods of theoretical physics, part II. McGraw-Hill.
12. Richardson, P. L. & Tychensky, A. 1998 Meddy trajectories in the Canary Basin measured during the semaphore experiment, 1993-1995. J. Geophys. Res. 103, 25 029-25 045.
13. Routh, E. J. 1881 Some applications of conjugate functions. Proc. Lond. Math. Soc. 12, 73-89.
14. Saffman, P. G. 1992 Vortex dynamics. Cambridge University Press.
15. Simmons, H. L. & Nof, D. 2000 Islands as eddy splitters. J. Mar. Res. 58, 919-956.
16. Stern, M. 1999 Scattering of an eddy advected by a current toward a topographic obstacle. J. Fluid Mech. 402, 211-223.
17. Whittaker, E. T. & Watson, G. N. 1927 A course of modern analysis. Cambridge University Press.
18. Zabusky, N. J., Hughes, M. H. & Roberts, K. V. 1979 Contour dynamics for the Euler equations in two dimensions. J. Computat. Phys. 30, 96-106.