Vortex Rings Impinging on Walls: Axisyrnmetric and Three-Dimensional Simulations

Journal of Fluid Mechanics

Volumn 256, Issue , 1993, Pages 615-646

  Orlandi, Paolo ^a   Verzicco, Roberto ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY LAYER MODELS; TURBULENCE; VORTEX FLOW; VORTEX RINGS;

EID: 0027497453     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112093002903     Document Type: Article

References (37)

1. ARAKAWA, A. 1966 Computational design for long term numerical integration of the equations of fluid motion: Two-dimensional incompressible flow. Part I. J. Comp. Phys. 1, 119–143.
2. ASHURST, W. T., KERSTEIN, A. R., KERR, R. M. & GIBSON, C. H. 1987 Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence. Phys. Fluids 30, 2343–2353.
3. BERNAL, L. P., HIRSA, A., KWON, J. T. & WILLMARTH W. W. 1989 On the interaction of vortex rings and pairs with a free surface for varying amounts of surface active agent. Phys. Fluids A1, 2001–2004.
4. BRILEY, W. R. & MCDONALD, H. 1975 Solution of three-dimensional compressible Navier-Stokes equations by an implicit technique. Proc. Fourth Intl. Conf on Numerical Methods in Fluid Dynamics. Lecture Notes in Physics, vol 35, p. 105. Springer.
5. CERRA, A. W. & SMITH, C. R. 1983 Experimental observations of vortex ring interaction adjacent to a surface. Report FM-4 Department of Mechanical Engineering and Mechanics Lehigh University, Bethlehem.
6. CHU, C.C. & FALCO, R. E. 1988 Vortex ring/viscous wall layer interaction model of the turbulence production process near walls. Exp. Fluids 6, 305–325.
7. DAHM, W. J. A., SHEIL, C. M. & TRYGGVASON, G. 1989 Dynamics of vortex interaction with a density interface. J. Fluid Mech. 205, 1–43.
8. HARLOW, F. H. & WELCH, J. E. 1965 Numerical calculation of time-dependent viscous incompressible flow of fluid with free surface. Phys. Fluids 8, 2182–2189.
9. HARVEY, J. K. & PERRY, F. J. 1971 Flowfield produced by trailing vortices in the vicinity of the ground. AlAA J. 9, 1659–1661.
10. HUSSAIN, F. & MELANDER, M. V. 1991 Understanding turbulence via vortex dynamics. In Studies in Turbulence, pp. 157–178. Springer.
11. JIMENEZ, J. 1992 Kinematic alignment effects in turbulent flows. Phys. Fluids A 4, 652–654.
12. JIMENEZ, J. & MOIN, P. 1991 The minimal flow unit in near wall turbulence. J. Fluid Mech. 225, 213–241.
13. KAMBE, T. & MINOTA, T. 1983 Acoustic wave radiated by head-on collision of two vortex rings. Proc. R. Soc. Lond. A 386, 277–308.
14. KNIO, O. M. & GHONIEM, O. M. 1990 Numerical study of three-dimensional vortex method. J. Comp. Phys. 86, 75–106.
15. LAMB, H. 1932 Hydrodynamics. Cambridge University Press.
16. 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.
17. ORLANDI, P. 1989a Numerical simulation of vortices motion in presence of solid boundaries. Proc. 8th GAMM on Numerical Methods in Fluid Mechanics (ed. P. Wesseling), pp. 436–441. Vieweg.
18. ORLANDI, P. 1989b A numerical method for direct simulation of turbulence in complex geometries. Center for Turbulence Research, Annual Research Briefs 1989, pp. 215–222.
19. ORLANDI, P. 1990 Vortex dipole rebound from a wall. Phys. Fluids A 2, 1429–1436.
20. ORLANDI, P. & HEIJST, G.J.F. VAN 1992 Numerical simulation of tripolar vortices in 2D flow. Fluid Dyn. Res. 9, 179–206.
21. ORLANDI, P. & VERZICCO, R. 1993a Identification of zones in a free evolving vortex ring. Appl. Sci. Res, (to appear); also Proc. IUTAM Symp. on Eddy Structure Identification in Free Turbulent Shear Flows, Poitiers.
22. ORLANDI, P. & VERZICCO, R. 1993b Free vortex rings, analogies and differences between vorticity and a passive scalar. Proc. NATO Adv. Res. Group (Grenoble 1992).
23. ORLANSKI, I. 1976 A simple boundary condition for unbounded hyperbolic flows. J. Comp. Phys. 21, 251–269.
24. PERIDIER, V.J. & WALKER, J. D. A. 1989 Vortex-induced boundary-layer separation. Report FM-13 Department of Mechanical Engineering and Mechanics Lehigh University, Bethlehem.
25. RAI, M. M. & MOIN, P. 1991 Direct simulations of turbulent flow using finite-difference schemes. J. Comp. Phys. 96, 15–53.
26. ROBINSON, S. K. 1991 Coherent motions in the turbulent boundary layer. Ann. Rev. Fluid Mech. 23, 601–639.
27. SAFFMAN, P. G. 1970 The velocity of viscous vortex rings. Stud. Appl. Math. 49, 371–379.
28. SAFFMAN, P. G. 1979 The approach of a vortex pair to a plane surface. J. Fluid Mech. 92, 497–503.
29. SHARIFF, K., LEONARD, A. & FERZIGER, J. H. 1989 Dynamics of a class of vortex rings. NASA TM 102257.
30. STANAWAY, S. 1988 A numerical study of viscous vortex rings using a spectral method. PhD Thesis, Aeronautics and Astronautics Dept., Stanford University. Also NASA TM 101041.
31. STANAWAY, S. SHARIFF, K. & HUSSAIN, F. 1988 Head-on collision of viscous vortex rings. Proc. CTR Summer School 1988.
32. SULLIVAN, J. P., WIDNALL, S. E. & SHAOUL, E. 1973 Study of vortex rings using a laser Doppler velocimeter. AlAA J. 11, 1384–1389.
33. VERZICCO, R. & ORLANDI, P. 1992 A finite difference scheme for direct simulation in cylindrical coordinates Presented at the ICOSAHOM 92, Montpelier; also J. Comp. Phys. (Submitted.)
34. VERZICCO, R., ORLANDI, P. & SHARIFF, K. R. 1992 A numerical simulation of three-dimensional vortex rings instabilities. J. Fluid Mech. (To be submitted).
35. WALKER, J. D. A., SMITH, C. R., CERRA, A. W. & DOLIGASKI, J. L. 1987 The impact of a vortex ring on a wall. J. Fluid Mech. 181, 99–140 (referred to herein as WSCD).
36. WIDNALL, S. E. & SULLIVAN, J. P. 1973 On the stability of vortex rings. Proc. R. Soc. Lond. A 332, 335–353.
37. WOODS, L. C. 1954 A note on the numerical solution of fourth order differential equations. Aero. Q. 5, 176–184.