Some specific features of chaotization and transport in pulsating barotropic flow over a topographic point vortex near boundary

Regular and Chaotic Dynamics

Volumn 9, Issue 4, 2004, Pages 439-450

  Koshel, K V ^a   Stepanov, D V ^a  

^a IL ICHEV PACIFIC OCEANOLOGICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33947710378     PISSN: 15603547     EISSN: 14684845     Source Type: Journal    
DOI: 10.1070/RD2004v009n04ABEH000289     Document Type: Article

References (13)

1. N. E. Kochin. I. A. Kibel, N. V. Rose. Theoretical Hydromechanics, Part 1. Moscow: Fizmatgiz. 1963.
2. J. M. Ottino. The Kinematics of Mixing: Stretching, Chaos and Transport. New-York: Cambridge University Press. 1989 (Reprinted 1997). P. 364.
3. H. Aref Stirring by Chaotic Advection. J. Fluid Mech. 1984. V. 143. P. 1-21.
4. A. V. Borisov, I. S. Mamaev, M. A. Sokolovskiy (Eds.). Fundamental and applied problems in the theory of vortices. Moscow-Izhevsk: Institute of Computer Science. 2003. P. 704.
5. A. E. Gledzer. Passive Pollutant Entrainment and Release by Ocean Eddy Structures. Izv. Akad. Nauk, Fiz. Atmos. Okeana. 1999. V. 35. No6. P. 838-845.
6. H. Aref. Chaotic Advection of Fluid Particles. Phil. Trans. Roy. Soc. London. 1990. V. 333. No1631. P. 273-288.
7. Yu. G. Izrailsky, V. F. Kozlov, K. V. Koshel. Some specific features of chaotization of the pulsating barotropic flow over elliptic and axisymmetric sea-mounts. Phys. Fluids. 2004. V. 16. No8. P. 3173-3190.
8. V. F. Kozlov, K. V. Koshel. Some features of chaos development in an oscillatory barotropic flow over an axisymmetric submerged obstacle. Izv. Akad. Nauk, Fiz. Atmos. Okeana. 2001. V. 37. No3. P. 378-389.
9. V. F. Kozlov, K. V. Koshel, D. V. Stepanov. About influence of boundary on the chaotic advection in barotropic quasi-geostrophic models. Far Eastern Mathematical Journal. 2001. V. 2. No2. P. 89-98.
10. V. Rom-Kedar, A. Leonard, S. Wiggins. An analytical study of transport, mixing and chaos in an unsteady vortical flow. J. Fluid Mech. 1990. V. 214. P. 347-394.
11. J. Stoer, R. Bulirsch. Introduction to numerical analysis. Second edition. New-York: Springer-Verlag. 1976. P. 672.
12. V. F. Kozlov, K. V. Koshel. A model of chaotic transport in the barotropic background flow. Izv. Akad. Nauk, Fiz. Atmos. Okeana. 2000. V. 36. No1. P. 119-128.
13. F. Sotiropoulos, Y. Ventikos, T. C. Lackey. Chaotic advection in three-dimensional stationary vortex-breakdown bubbles: Sil'nikov's chaos and the devil's staircase. J. Fluid Mech. 2001. V. 444. P. 257-297.