A note on the decay of vorticity in shallow flow calculations

Physics of Fluids

Volumn 16, Issue 7, 2004, Pages 2469-2475

  Brocchini, M ^a   Colombini, M ^a  

^a UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

NONLINEAR EQUATIONS; TRANSPORT PROPERTIES; VISCOUS FLOW;

ENSTROPHY; FLOW DEPTH; SHALLOW WATER EQUATIONS; TRANSPORT EQUATIONS;

FLUID DYNAMICS;

DECAY; FLUID DYNAMICS; MATHEMATICAL ANALYSIS; VORTICITY;

EID: 3242723061     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1756551     Document Type: Article

References (19)

1. A. Provenzale, "Transport by coherent barotropic vortices," Annu. Rev. Fluid Mech. 31, 55 (1999).
2. C. Schär and R. B. Smith, "Shallow-water flow past isolated topography. Part I. Vorticity production and wake formation," J. Atmos. Sci. 50, 1373 (1993).
3. A. B. Kennedy, Q. Chen, J. T. Kirby, and R. A. Dalrymple, "Boussinesq modeling of wave transformation, breaking and runup. I: ID," J. Waterw., Port, Coastal, Ocean Eng. 126, 39 (2000).
4. D. H. Peregrine, "Surf zone currents," Theor. Comput, Fluid Dyn. 10, 295 (1998).
5. L. Soldini, A. Piattella, M. Brocchini, A. Mancinelli, and R. Bernetti, "Macrovortices-induced horizontal mixing in compound channels," Ocean Dynamics (in press).
6. L. J. Pratt, "On inertial flow over topography. Part 1. Semigeostrophic adjustment to an obstacle," J. Fluid Mech. 131, 195 (1983).
7. E. F. Toro, Shock-Capturing Methods for Free-Surface Shallow Flows (Wiley, New York, 2001).
8. R. Rotunno and P. K. Smolarkiewicz, "Vorticity generation in the shallow-water equations as applied to hydraulic jumps," J. Atmos. Sci. 52, 320 (1995).
9. K. Shiono and D. W. Knight, "Turbulent open-channel flows with variable depth across the channel," J. Fluid Mech. 222, 617 (1991).
10. A. G. L. Borthwick and R. W. Barber, "River and reservoir flow modelling using the transformed shallow water equations," Int. J. Numer. Methods Fluids 14, 1193 (1992).
11. J. G. Zhou and P. K. Stansby, "2D shallow water flow model for the hydraulic jump," Int. J. Numer. Methods Fluids 29, 375 (1999).
12. M. Lesieur, Turbulence in Fluids (Kluwer Academic, Dordrecht, 1990).
13. O. Bühler and T. E. Jacobson, "Wave-driven currents and vortex dynamics on barred beaches," J. Fluid Mech. 449, 313 (2001).
14. K. Nadaoka and H. Yagi, "Shallow-water turbulence modeling and horizontal large-eddy computation of river flow," J. Hydraul. Eng. 124, 493 (1998).
15. A. Babiano, C. Basdevant, B. Lagras, and R. Sadourny, "Vorticity and passive-scalar dynamics in two-dimensional turbulence," J. Fluid Mech. 197, 241 (1987).
16. C. Basdevant, B. Legras, R. Sadourny, and M. Bèland, "A study of barotropic model flows: intermittency, waves and predictability," J. Atmos. Sci. 38, 2305 (1981).
17. M. F. M. Yossef and G. J. Klaassen, "Reproduction of groynes-induced river bed morphology using LES in a 2-D morphological model," Proceedings on River Flow 2002 (Swets & Zeitlinger, Lisse, The Netherlands, 2002), p. 1099.
18. A. A. Khan and P. M. Steffler, "Physically based hydraulic jump model for depth-averaged computations," J. Hydraul. Eng. 122, 540 (1996).
19. V. H. Chu, J. H. Wu, and R. E. Khayat, "Stability of transverse shear flows in shallow open channels," J. Hydraul. Eng. 117, 1370