On the generation of vorticity at a free surface

Journal of Fluid Mechanics

Volumn 382, Issue , 1999, Pages 351-366

  Lundgren, Thomas ^a   Koumoutsakos, Petros ^b,c  

^a University of Minnesota   (United States)

^b ETH ZURICH   (Switzerland)

^c STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BOUNDARY CONDITIONS; INTEGRAL EQUATIONS; NUMERICAL METHODS; SHEAR STRESS; SURFACES; VISCOUS FLOW;

BOUNDARY INTEGRAL EQUATION; VISCOUS FREE SURFACE; VORTICITY FLUX;

VORTEX FLOW;

EID: 0032649208     PISSN: 00221120     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0022112098003978     Document Type: Article

References (23)

1. BERNAL, L. P. & KWON, J. T. 1989 Vortex ring dynamics at a free surface. Phys. Fluids A 1, 449-451.
2. DABIRI, D. & GHARIB, M. 1997 Experimental investigation of the vorticity generation within a spilling water wave. J. Fluid Mech. 330, 113-139.
3. DUNCAN, J. H., PHILOMIN, V., BEHRES, M. & KIMMEL, J. 1994 The formation of spilling breaking water waves. Phys. Fluids 6, 2558-2560.
4. FRIEDMAN, A. 1966 Partial Differential Equations of Parabolic Type. Prentice-Hall.
5. GHARIB, M. 1994 Some aspects of near-surface vortices. Appl. Mech. Rev. 47, S157-S162.
6. GREENGUARD, L. & STRAIN, J. 1990 A fast algorithm for the evaluation of heat potentials. Commun. Pure Appl. Maths 43, 949-963.
7. KINNEY, R. B. & CIELAK, Z. M. 1977 Analysis of unsteady viscous flow past an airfoil: Part I. Theoretical development. AIAA J. 15, 52-61.
8. KINNEY, R. B. & PAOLINO, M. A. 1974 Flow transient near the leading edge of a flat plate moving through a viscous fluid. Trans. ASME J. Appl. Mech. 41, 919-924.
9. KOUMOUTSAKOS, P. & LEONARD, A. 1995 High-resolution simulations of the flow around an impulsively started cylinder using vortex methods. J. Fluid Mech. 296, 1-38.
10. KOUMOUTSAKOS, P., LEONARD, A. & PEPIN, F. 1994 Boundary conditions for viscous vortex methods. J. Comput. Phys. 113, 52-61.
11. LAMB, H. 1932 Hydrodynamics. Cambridge University Press.
12. LIGHTHILL, M. J. 1963 In Boundary Layer Theory (ed. J. Rosenhead), pp. 54-61. Oxford University Press.
13. LIN, J. C. & ROCKWELL, D. 1995 Evolution of a quasi-steady breaking wave. J. Fluid Mech. 302, 29-44.
14. LONGUET-HIGGINS, M. S. 1992 Capillary rollers and bores. J. Fluid Mech. 240, 659-679.
15. LUGT, H. J. 1987 Local flow properties at a viscous free surface. Phys. Fluids 30, 3647-3652.
16. LUNDGREN, T. S. 1989 In Mathematical Aspects of Vortex Dynamics (ed. R. E. Caflisch), pp. 68-79. SIAM, Philadelphia.
17. LUNDGREN, T. S. & MANSOUR, N. N. 1988 Oscillations of drops in zero gravity with weak viscous effects. J. Fluid Mech. 194, 479-510.
18. LUNDGREN, T. S. & MANSOUR, N. N. 1991 Vortex ring bubbles. J. Fluid Mech. 224, 177-196.
19. PEDLEY, T. J. 1967 The stability of rotating flows with a cylindrical free surface. J. Fluid Mech. 30, 127-147.
20. PRAGER, W. 1928 Die Druckverteilung an Körpern in ebener Potentialströmung. Phys. Zeit. 29, 865-869.
21. ROOD, E. P. 1994 Interpreting vortex interactions with a free surface. Trans. ASME J. Fluids Engng 116, 91-94.
22. TRUESDELL, C. 1953 The Kinematics of Vorticity. Indiana University Press.
23. WU, J.-Z. 1995 A theory of three-dimensional interfacial vorticity dynamics. Phys. Fluids 7, 2375-2395.