Transition from deep to shallow water layer: Formation of vortex dipoles

European Journal of Mechanics, B/Fluids

Volumn 24, Issue 1, 2005, Pages 19-32

  Sous, Damien ^a   Bonneton, Natalie ^b   Sommeria, Joel ^c  

^a University Bordeaux I2M UMR CNRS 5295   (France)

^b OBSERVATOIRE DE BORDEAUX   (France)

^c LEGI   (France)

Author keywords

Experiment; Quasi two dimensional turbulence; Shallow water; Vortex dipole

Indexed keywords

COASTAL ZONES; CONFINED FLOW; MATHEMATICAL MODELS; REYNOLDS NUMBER; SURFACE CHEMISTRY; TURBULENCE;

QUASI-TWO-DIMENSIONAL TURBULENCE; SHALLOW WATER; VERTICAL EXPANSION; VORTEX DIPOLE;

VORTEX FLOW;

EID: 7044249870     PISSN: 09977546     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechflu.2004.06.002     Document Type: Article

References (25)

1. Uijttewaal W.S.J., Booij R. Effects of shallowness on the development of free-surface mixing layers. Phys. Fluids. 12:(2):2000;394-402.
2. Lin J.C., Orzogen M., Rockwell D. Space-time development of the onset of a shallow-water vortex. J. Fluid Mech. 485:2003;33-66.
3. Jirka G.H. Large scale flow structures and mixing processes in shallow flows. J. Hydraulic Res. 39:(6):2001;567-573.
4. Smith J.A., Largier J.L. Observations of nearshore circulations: rip currents. J. Geophys. Res. 100:1995;10967-10975.
5. Drønen N., Karunarathna H., Fredsøe J., Mutlu Sumer B., Deigaard R. An experimental study of rip channel flow. Coast. Eng. 45:2002;223-238.
6. Dracos T., Giger M., Jirka G.H. Plane turbulent jets in a bounded fluid layer. J. Fluid Mech. 241:1992;587-614.
7. Chen D., Jirka G.H. Experimental study of plane turbulent wakes in a shallow water layer. Fluid Dynamics Res. 41:1995;11-41.
8. Booij R., Tukker J. Integral model of shallow mixing layers. J. Hydraulic Res. 39:(2):2001;169-179.
9. Uijttewaal W.S.J., Weitbrecht V., Graf von Carmer C.F., Jirka G.H. Experiments on Shallow Flows Turbulence. Proc. 2001 International Symposium on Environmental Hydraulics. 2001.
10. Dolzhanskii F.V., Krymov V.A., Manin D.Yu. An advanced experimental investigation of quasi-two-dimensionnal shear flows. J. Fluid Mech. 241:1992;705-722.
11. Satijn M.P., Cense A.W., Verzicco R., Clercx H.J.H., van Heijst G.J.F. Three-dimensional structure and decay properties of vortices in shallow fluid layers. Phys. Fluids. 13:2001;1932-1945.
12. Hopfinger E.J., van Heijst G.J.F. Vortices in rotating fluids. Ann. Rev. Fluid Mech. 25:1993;241-289.
13. Velasco Fuentes O.U., van Heijst G.J.F. Experimental study of dipolar vortices on a topographic β-plane. J. Fluid Mech. 259:1994;79-106.
14. Zavala Sansòn L., van Heijst G.J.F., Backx N.A. Ekman decay of a dipolar vortex in a rotating fluid. Phys. Fluids. 13:2001;440-451.
15. Flor J.B., van Heijst G.J.F. An experimental study of dipolar vortex structures in a stratified fluid. J. Fluid Mech. 279:1994;101-133.
16. Voropayev S.I., Afanasyev Ya.D., Filippov I.A. Horizontal jets and vortex dipoles in a stratified fluid. J. Fluid Mech. 227:1991;543-566.
17. Lamb H. Hydrodynamics. 6th edition: 1932;Dover.
18. Meleshko V.V., van Heijst G.J.F. On Chaplygin's investigations of two-dimensional vortex structures in an inviscid fluid. J. Fluid Mech. 272:1994;157-182.
19. Nguyen Duc J.M., Sommeria J. Experimental characterization of steady two-dimensional vortex couples. J. Fluid Mech. 192:1988;175-192.
20. Couder Y., Basdevant C. Experimental and numerical study of vortex couples in two-dimensional flows. J. Fluid Mech. 173:1986;225-251.
21. Schlichting H. Boundary Layer Theory. 1979;Mc Graw-Hill, New York.
22. Batchelor G.K. An Introduction to Fluid Dynamics. First Cambridge Mathematical Library edition :2000.
23. Joyce G., Montgomery D.C. Statistical mechanics of negative temperature states. Phys. Fluids. 13:1973;1139-1145.
24. Pasmanter R.A. On long lived vortices in 2-D viscous flows, most probables states of inviscid 2-D flows and a soliton equation. Phys. Fluids. 6:1994;1236-1241.
25. D. Sous, Dynamique tourbillonnaire en milieu peu profond, PhD thesis, Université Bordeaux 1, 2003.