Interaction of two unequal corotating vortices

Physics of Fluids

Volumn 17, Issue 8, 2005, Pages 1-17

  Trieling, R R ^a   Velasco Fuentes, O U ^b   van Heijst, G J F ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b CENTRO DE INVESTIGACIÓN CIENTÍFICA Y DE EDUCACIÓN SUPERIOR DE ENSENADA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; FLOW INTERACTIONS; INCOMPRESSIBLE FLOW; REYNOLDS NUMBER;

GAUSSIAN VORTICES; UNEQUAL COROTATING VORTICES;

VORTEX FLOW;

VORTEX;

EID: 24144485962     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1993887     Document Type: Article

References (31)

1. D. W. Waugh, "The efficiency of symmetric vortex merger," Phys. Fluids 4, 1745 (1992). PFADEB 0899-8213 10.1063/1.858395
2. D. G. Dritschel and D. W. Waugh, "Quantification of the inelastic interaction of unequal vortices in two-dimensional vortex dynamics," Phys. Fluids 4, 1737 (1992). PFADEB 0899-8213 10.1063/ 1.85839
3. I. Yasuda and G. R. Flierl, "Two-dimensional asymmetric vortex merger: Contour dynamics experiment," J. Oceanogr. 51, 145 (1995). JOOCE7 0916-8370
4. T. B. Mitchell and C. F. Driscoll, "Electron vortex orbits and merger," Phys. Fluids 8, 1828 (1996). PHFLE6 1070-6631 10.1063/ 1.6965
5. J. Jimenez, H. K. Moffatt, and C. Vasco, "The structure of the vortices in freely decaying two-dimensional turbulence," J. Fluid Mech. 313, 209 (1996). JFLSA7 0022-1120
6. G. F. Carnevale, J. C. McWilliams, Y. Pomeau, J. B. Weiss, and W. R. Young, "Evolution of vortex statistics in two-dimensional turbulence," Phys. Rev. Lett. 66, 2735 (1991). PRLTAO 0031-9007 10.1103/PhysRevLett
7. R. Benzi, M. Colella, M. Briscolini and P. Santangelo, "A simple point vortex model for two-dimensional decaying turbulence," Phys. Fluids 4 1036 (1992). PFADEB 0899-8213 10.1063/1.85825
8. M. V. Melander, N. J. Zabusky, and J. C. McWilliams, "Asymmetric vortex merger in two dimensions: Which vortex is 'victorious'?," Phys. Fluids 30, 2610 (1987). PFLDAS 0031-9171 10.1063/1.866103
9. H. B. Yao, N. J. Zabusky, and D. G. Dritschel, "High gradient phenomena in two-dimensional vortex interactions," Phys. Fluids 7, 539 (1995). PHFLE6 100-6631 10.1063/1.868650
10. U. Ehrenstein and M. Rossi, "Equilibria of corotating nonuniform vortices," Phys. Fluids 11, 3416 (1999). PHFLE6 1070-6631 10.1063/ 1.870200
11. P. Meunier, U. Ehrenstein, T. Leweke, and M. Rossi, "A merging criterion for two-dimensional co-rotating vortices," Phys. Fluids 14, 2757 (2002). PHFLE6 1070-6631 10.1063/1.89683
12. O. U. Velasco Fuentes, "Chaotic advection by two interacting finite-area vortices," Phys. Fluids 13, 901 (2001). PHFLE6 1070-6631 10.1063/1.52626
13. M. V. Melander, J. C. McWilliams, and N. J. Zabusky, "Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation," J. Fluid Mech. 178, 137 (1987). JFLSA7 0022-1120
14. N. J. Zabusky, M. H. Hughes, and K. V. Roberts, "Contour dynamics for the Euler equations in two dimensions," J. Comput. Phys. 30, 96 (1979). JCTPAH 0021-9991 10.1016/0021-9991(79)90089-5
15. D. G. Dritschel, "Contour dynamics and contour surgery: Numerical algorithms for extended, high-resolution modelling of vortex dynamics in two-dimensional, inviscid, incompressible flows," Comput. Phys. Rep. 10, 77 (1989). CPHREF 0167-7977 10.1016/0167-79(89)90004-X
16. D. G. Dritschel and M. H. P. Ambaum, "A contour-advective semi-Lagrangian numerical algorithm for simulating fine-scale conservative dynamical fields," Q. J. R. Meteorol. Soc. 123, 1097 (1997). QJRMAM 0035-9009 10.1256/smsqj.54014
17. B. Legras and D. G. Dritschel, "A comparison of the contour surgery and pseudo-spectral methods," J. Comput. Phys. 104, 287 (1993). JCTPAH 0021-9991
18. M. V. Melander, N. J. Zabusky, and J. C. McWilliams, "Symmetric vortex merger in two dimensions: Causes and conditions," J. Fluid Mech. 195, 303 (1988). JFLSA7 0022-1120
19. O. U. Velasco Fuentes, "Vortex filamentation: Its onset and its role on axisymmetrization and merger," Dyn. Atmos. Oceans 40, 23 (2005). DAOCDC 0377-0265
20. S. Kida, "Motion of an elliptic vortex in a uniform shear flow," J. Phys. Soc. Jpn. 50, 3517 (1981). JUPSAU 0031-9015
21. B. Legras and D. G. Dritschel, "Vortex stripping and the generation of high vorticity gradients in two-dimensional flows," Appl. Sci. Res. 51, 445 (1993). ASRHAU 0003-6994 10.1007/BF01082574
22. A. Mariotti, B. Legras, and D. G. Dritschel, "Vortex stripping and the erosion of coherent structures in two-dimensional flows," Phys. Fluids 6, 3954 (1994). PHFLE 1070-31 10.103/1.88385
23. D. G. Dritschel, "Vortex properties of two-dimensional turbulence," Phys. Fluids 5, 984 (1993). PFADEB 0899-8213 10.1063/ 1.88643
24. D. G. Dritschel, "Strain-induced vortex stripping," in Mathematical Aspects of Vortex Dynamics, edited by R. E. Caflisch (SIAM, New York, 1989), pp. 107-119.
25. J. Weiss, "The dynamics of enstrophy transfer in two-dimensional hydrodynamics," Physica 48, 273 (1991). PDNPDT 0167-2789 10.1016/ 0167-2789(91)90088-Q
26. J. C. McWilliams, "The emergence of isolated coherent vortices in turbulent flow," J. Fluid Mech. 146, 21 (1984). JFLSA7 0022-1120
27. E. J. Hopfinger and G. J. F. van Heijst, "Vortices in rotating fluids," Annu. Rev. Fluid Mech. 25, 241 (1993). ARVFA3 0066-4189 10.1146/annurev.fluid.25.1.241
28. R. W. Griffiths and E. J. Hopfinger, "Coalescing of geostrophic vortices," J. Fluid Mech. 178, 73 (1987). JFLSA7 0022-1120
29. G. F. Carnevale, P. Cavazza, P. Orlandi, and R. Purini, "An explanation for anomalous vortex merger in rotating-tank experiments," Phys. Fluids 3, 1411 (1991). PFADEB 0899-8213 10.1063/1.858019
30. R. J. M. Bastiaans, "Cross-correlation PIV: Theory, implementation and accuracy," Technical Report, Eindhoven University of Technology (2000).
31. R. R. Trieling, A. H. Linssen, and G. J. F. van Heijst, "Monopolar vortices in an irrotational annular shear flow," J. Fluid Mech. 360, 273 (1998). JFLSA7 0022-1120 10.1017/S0022112098008593