Axisymmetric gravity currents at high Reynolds number: On the quality of shallow-water modeling of experimental observations

Physics of Fluids

Volumn 19, Issue 3, 2007, Pages

  Ungarish, Marius ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; WAVE PROPAGATION;

BOUSSINESQ SYSTEM; GRAVITY CURRENTS; INVISCID APPROXIMATION; SHALLOW-WATER MODEL;

GRAVITY WAVES;

COMPUTER SIMULATION; GRAVITY WAVES; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; REYNOLDS NUMBER; WAVE PROPAGATION;

EID: 34047223571     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2714990     Document Type: Article

References (14)

1. J. Rottman and J. Simpson, "Gravity currents produced by instantaneous release of a heavy fluid in a rectangular channel," J. Fluid Mech. JFLSA70022-112010.1017/S0022112083002979 135, 95 (1983).
2. J. B. Klemp, R. Rotunno, and W. C. Skamarock, "On the dynamics of gravity currents in a channel," J. Fluid Mech. JFLSA70022-112010.1017/S0022112094001527 269, 169 (1994).
3. M. Ungarish and T. Zemach, "On the slumping of high Reynolds number gravity currents in two-dimensional and axisymmetric configurations," Eur. J. Mech. B/Fluids EJBFEV0997-754610.1016/ j.euromechflu.2004.05.006 24, 71 (2005).
4. M. D. Patterson, J. E. Simpson, S. B. Dalziel, and G. J. F. van Heijst, "Vortical motion in the head of an axisymmetric gravity current," Phys. Fluids PHFLE61070-663110.1063/1.2174717 18, 046601 (2006).
5. M. A. Hallworth, H. E. Huppert, and M. Ungarish, "Axisymmetric gravity currents in a rotating system: Experimental and numerical investigations," J. Fluid Mech. JFLSA70022-1120 447, 1 (2001).
6. H. E. Huppert and J. E. Simpson, "The slumping of gravity currents," J. Fluid Mech. JFLSA70022-112010.1017/S0022112080000894 99, 785 (1980).
7. T. B. Benjamin, "Gravity currents and related phenomena," J. Fluid Mech. JFLSA70022-112010.1017/S0022112068000133 31, 209 (1968).
8. R. T. Bonnecaze, H. E. Huppert, and J. R. Lister, "Particle-driven gravity currents," J. Fluid Mech. JFLSA70022-112010.1017/ S002211209300148X 250, 339 (1993).
9. M. Ungarish and H. E. Huppert, "On gravity currents propagating at the base of a stratified ambient: Effects of geometrical constraints and rotation," J. Fluid Mech. JFLSA70022-112010.1017/S0022112004000965 521, 69 (2004).
10. H. E. Huppert, "The propagation of two-dimensional and axisymmetric viscous gravity currents over a rigid horizontal surface," J. Fluid Mech. JFLSA70022-112010.1017/S0022112082001797 121, 43 (1982).
11. N. Didden and T. Maxworthy, "The viscous spreading of plane and axisymmetric gravity currents," J. Fluid Mech. JFLSA70022-112010.1017/S0022112082001785 121, 27 (1982).
12. R. E. Grundy and J. Rottman, "The approach to self-similarity of the solutions of the shallow-water equations representing gravity current releases," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112085001975 156, 39 (1985).
13. M. A. Hallworth, H. E. Huppert, and M. Ungarish, "On inwardly propagating axisymmetric gravity currents," J. Fluid Mech. JFLSA70022-112010.1017/S0022112003006086 494, 255 (2003).
14. M. Ungarish, A shallow model for high-Reynolds gravity currents for a wide range of density differences and fractional depths, J. Fluid Mech. JFLSA70022-1120 579, 373-382 (2007).