Quasi-steady monopole and tripole attractors for relaxing vortices

Physics of Fluids

Volumn 9, Issue 8, 1997, Pages 2329-2338

  Rossi, Louis F ^a   Lingevitch, Joseph F ^b   Bernoff, Andrew J ^c  

^a University of Massachusetts Lowell   (United States)

^b NAVAL RESEARCH LABORATORY   (United States)

^c Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; COMPUTER SIMULATION; DIFFUSION; MIXING; NAVIER STOKES EQUATIONS; PERTURBATION TECHNIQUES; RELAXATION PROCESSES; REYNOLDS NUMBER; SHEAR FLOW;

GAUSSIAN MONOPOLE; LAMB MONOPOLE; VORTICITY;

VORTEX FLOW;

FLOW; NAVIER-STOKES EQUATIONS; REYNOLDS NUMBER; VORTEX;

EID: 0031202330     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.869353     Document Type: Article

References (21)

1. X. Carton and B. Legras, "The life-cycle of tripoles in two-dimensional incompressible folws." J. Fluid Mech. 267, 53 (1994).
2. S. Gama and U. Frisch, "Simulations of two-dimensional turbance on the connection machine," Appl. Sci. Res. 51, 105 (1993).
3. J. C. Mcwilliams, "The emergence of isolated conherent vortices in turbulent folw," J. Fluid Mech. 146, 21 (1984).
4. P. B. Rhines and W. R. Young, "How rapdly is a passive scalar mixed within closed streamlines," J. Fluid Mech. 133, 133 (1983).
5. A. J. Bernoff and J. F. Lingevith, "Rapid relaxation of an axisymmetric vortex," Phys. Fluids 6, 3717 (1994).
6. J. B. Flor, W. S. S. Govers, G. J. F. Van Heijst, and R. Van Sluis, "Formation of a tripolar vortex in a stratefied fluid," Appl. Sci Res. 51, 405 (1993).
7. M. Ikeda, "Instability and splitting of mesoscale rings using a two-layer quasi-geostrophic model on an f-plane," J. Phys. Ocean. 11, 987 (1981).
8. G. Y. Morel and J. X. Carton, "Multipolar vortices in two-dimensional incompressible flows," J. Fluid Mech. 267, 23 (1994).
9. L. M. Polvani and X. J. Carton, "The tripole: A new coherent vortex structure of incompressible two-dimensional flows," Geophys. Astrophys. Fluid Dynamics 51, 87 (1990).
10. M. Swenson, "Instability of equivalent-barotropic riders," J. Phys. Ocean. 17, 492 (1987).
11. M. V. Melander. J. C. McWilliams, and N. J. Zabusky, "Axisyrnmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation," J. Fluid Mech. 178, 137 (1987).
12. T. Y. Hou, J. Lowengrub, and M. J. Shelley, "Exact desingularization and local regriding for vortex methods," in Lectures in Applied Mathematics: Vortex Methods and Vortex Dynamics, edited by C. Greengard (American Mathematical Society, New York, 1991), pp. 341-362.
13. T. S. Lundgren, "Strained sprial vortex model for turbulenl fine structure," Phys. Fluids 25, 2193 (1982).
14. L. F. Rossi, "Merging computational elements in Lagrangian simulations," SIAM J. Sci Comp. 18-4, 1 (1997).
15. G. K. Batchelor, An Introduction to Fluid Dynamics (Cambridge University Press, New York. 1967).
16. L. Ting and R. Klein, Viscous Vortical Flows. Vol. 374 of Lecture Notes in Physics (Springer-Verlag. New York, 1991).
17. L. F. Rossi, "Resurrecting core spreading methods: A new scheme that is both deterministic and convergent," SIAM J. Sci. Comp, 17-2, 370 (1996).
18. L. F. Rossi, "Vortex computations of wall jet flows," in The 1st Annual Forum on Vortex Methods for Engineering Applications, pp. 127-147 (1995).
19. 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).
20. S. Kida, "Motion of an elliptic vortex in a uniform shear flow." J. Phys. Soc. Jpn. 50, 3517 (1981).
21. D. W. Moore and P. G. Saffman, "Structure of a line vortex in an imposed strain," in Aircraft Wake Turbulence. edited by J. H. Olsen, A. Goldburg. and M. Rogers (Plenum, New York, 1971), pp. 339-354.