Three-dimensionally perturbed vortex tubes in a rotating flow

Journal of Fluid Mechanics

Volumn 341, Issue , 1997, Pages 127-163

  Carnevale, G F ^a   Briscolini, M ^b   Kloosterziel, R C ^c   Vallis, G K ^d  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b STSS Technical Center Europe   (Italy)

^c UNIVERSITY OF HAWAII   (United States)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL ANALYSIS; PERTURBATION TECHNIQUES; UNSTEADY FLOW; VORTEX FLOW;

ROSSBY NUMBER; VORTEX BREAKDOWN;

ROTATIONAL FLOW;

MODELLING-MATHEMATICAL; ROTATING FLOW; VORTEX FLOW;

EID: 0031171390     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112097005430     Document Type: Article

References (45)

1. BARDINA, J., FERZIGER, J. H. & ROGALLO, R. S. 1985 Effect of rotation on isotropic turbulence: computation and modelling. J. Fluid Mech. 154, 321-336.
2. BARTELLO, P., METAIS, O. & LESIEUR. M. 1994 Coherent structures in rotating three-dimensional turbulence. J. Fluid Mech. 273, 1-29.
3. BATCHELOR, G. K. 1967 An Introduction to Fluid Dynamics. Cambridge University Press.
4. BRISCOLINI, M. & SANTANGELO, P. 1992 Numerical simulations of three-dimensional homogeneous isotropic flows. In Proc. Conf. on Parallel Computing: Problems, Methods and Applications (ed. P. Messina & A. Murli). Elsevier.
5. CAMBON, C., BENOIT, J. P., SHAO, L. & JACQUIN, L. 1994 Stability analysis and large eddy simulation of rotating turbulence with organized eddies. J. Fluid Mech. 278, 175-200.
6. CAMBON, C. & JACQUIN, L. 1989 Spectral approach to non-isotropic turbulence subjected to rotation. J. Fluid Mech. 202, 295-317.
7. CAMBON, C., JACQUIN, L. & LUBRANO, J. L. 1992 Toward a new Reynolds stress model for rotating turbulent flows. Phys. Fluids A 4, 812-824.
8. CARNEVALE, G. F., CAVAZZA, P., ORLANDI, P. & PURINI, R. 1991 An explanation for anomalous vortex merger in rotating tank experiments. Phys. Fluids A 3, 1411-1415.
9. CARNEVALE G. F. & KLOOSTERZIEL R. C. 1994, Emergence and evolution of triangular vortices. J. Fluid Mech. 259, 305-331.
10. CARNEVALE, G. F., KLOOSTERZIEL, R. C. & HEIJST, G. J. F. VAN 1991 Propagation of barotropic vortices over topography in a rotating tank. J. Fluid Mech. 233, 119-139.
11. CARNEVALE, G. F., MCWILLIAMS, J. C., POMEAU, Y., WEISS, J. B. & YOUNG, W. R. 1991 Evolution of vortex statistics in two-dimensional turbulence. Phys. Rev. Lett. 66, 2735-2737.
12. CARNEVALE, G. F., MCWILLIAMS, J. C., POMEAU, Y., WEISS, J. B., & YOUNG, W. R. 1992 Rates, pathways, and end states of nonlinear evolution in decaying two-dimensional turbulence: scaling theory versus selective decay. Phys. Fluids A 4, 314-316.
13. CARNEVALE, G. F. & SHEPHERD, T. G. 1990 On the interpretation of Andrew's theorem. Geophys. Astrophys. Fluid Dyn. 51, 1-17.
14. CARNEVALE, G. F. & VALLIS, G. K. 1990 Pseudo-advective relaxation to stable states of inviscid two-dimensional fluids. J. Fluid Mech. 213, 549-571.
15. CARTON, X. & LEGRAS, B. 1994 The life-cycle of tripoles in two-dimensional incompressible flow. J. Fluid Mech. 267, 53-82.
16. CHANDRASEKHAR, S. 1961 Hydrodynamic and Hydromagnetic Stability. Oxford University Press.
17. CHOLLET, J. P. & LESIEUR, M. 1981 Parameterization of small scales of three-dimensional isotropic turbulence utilizing spectral closure. J. Atmos. Sci. 38, 2747-2757.
18. DRITSCHEL, D. G. 1988 Nonlinear stability bounds for inviscid, two-dimensional, parallel or circular flows with monotonic vorticity, and the analogous three-dimensional quasi-geostrophic flows. J. Fluid Mech. 191, 575-581.
19. FLIERL, G. R., STERN, M. E. & WHITEHEAD, J. A. 1983 The physical significance of modons: laboratory experiments and general integral constraints. Dyn. Atmos. Oceans 7, 233-263.
20. GRANT, H. L., STEWART, R. W. & MOILLIET A. 1962 Turbulence spectra from a tidal channel. J. Fluid Mech. 12, 241-263.
21. GREENSPAN, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
22. HEIJST, G. J. F. VAN, KLOOSTERZIEL, R. C. & WILLIAMS, C. W. M. 1991 Laboratory experiments on the tripolar vortex in a rotating fluid. J. Fluid Mech. 225, 301-331.
23. HOPFINGER, E. J., BROWAND, F. K. & GAGNE, Y. 1982 Turbulence and waves in a rotating tank. J. Fluid Mech. 125, 505-534.
24. JACQUIN, L., LEUCHTER, O., CAMBON, C. & MATHIEU, J. 1990 Homogeneous turbulence in the presence of rotation. J. Fluid Mech. 220, 1-52.
25. KELVIN, LORD 1880 Vibrations of a columnar vortex. Phil. Mag. 10, 155-168.
26. KLOOSTERZIEL, R. C. & HEIJST, G. J. F. 1991 An experimental study of unstable barotropic vortices in a rotating fluid. J. Fluid Mech. 223, 1-24.
27. KRAICHNAN, R. H. 1976 Eddy viscosity in two and three dimensions. J. Atmos. Sci. 33, 1521-1536.
28. LESIEUR, M. & ROGALLO, R. 1989 Large-eddy simulation of passive scalar diffusion in isotropic turbulence. Phys. Fluids A 1, 718-722.
29. LESIEUR, M., YANASE, S. & METAIS, O. 1991 Stabilizing and destabilizing effects of a solid-body rotation on quasi-2-dimensional shear layers. Phys. Fluids A 3, 403-407.
30. LESLIE, D. C. 1973 Developments in the Theory of Turbulence. Clarendon Press.
31. LIGHTHILL, M. J. 1978 Waves in Fluids. Cambridge University Press.
32. LUNDGREN, T. S. & ASHURST, W. T. 1989 Area-varying waves on curved vortex tubes with application to vortex breakdown. J. Fluid Mech. 200, 283-307.
33. MAHALOV, A. & ZHOU, Y. 1996 Analytical and phenomenological studies of rotating turbulence. Phys. Fluids 8, 2138-2152.
34. MATTHAEUS, W. H., STRIBLING, W. T., MARTINEZ, D., OUGHTON, S. & MONTGOMERY, D. 1991 Selective decay and coherent vortices in two-dimensional incompressible turbulence. Phys. Rev. Lett. 66, 2731-2734.
35. MCWILLIAMS, J. C., WEISS, J. B. & YAVNEH, I. 1994 Anisotropy and coherent vortex structures in planetary turbulence. Science 264, 410-413.
36. MELANDER, M. V. & HUSSAIN, F. 1989 Cross-linking of two antiparallel vortex tubes. Phys. Fluids A, 1, 633-636.
37. MELANDER, M. V., MCWILLIAMS, J. C. & ZABUSKY, N. J. 1987 Axisymmetrization and vorticity-gradient intensification of an isolated two-dimensional vortex through filamentation. J. Fluid Mech. 178, 137-159.
38. MELANDER, M. V., ZABUSKY, N. J. & MCWILLIAMS, J. C. 1988 Symmetric vortex merger in two dimensions: causes and conditions. J. Fluid Mech. 195, 303-340.
39. MIYAZAKI, T. & FUKOMOTO, Y. 1991 Axisymmetric waves on a vertical vortex in a stratified fluid. Phys. Fluids A 3, 606-616.
40. PATTERSON, G. S. & ORSZAG, S. A. 1971. Spectral calculations of isotropic turbulence, efficient removal of aliasing interactions. Phys. Fluids 14, 2538-2541.
41. RAYLEIGH, LORD 1916. On the dynamics of revolving fluids. Proc. R. Soc. Lond. A 93, 148-154.
42. SAFFMAN, P. G. 1992 Vortex Dynamics. Cambridge University Press.
43. SMYTH, W. D. & PELTIER, W. R. 1994 Three-dimensionalization of barotropic vortices on the f-plane. J. Fluid Mech. 265, 25-64.
44. VALLIS, G. K., SHUTTS, G. J. & GRAY, M. E. B. 1996 Balanced mesoscale motion and stratified turbulence forced by convection. Submitted to Q. J. R. Met. Soc.
45. VINCENT, A. & MENEGUZZI, M. 1991 The spatial structure and statistical properties of homogeneous turbulence. J. Fluid Mech. 225, 1-20.