Numerical simulations of the interaction of internal waves with a shelf break

Physics of Fluids

Volumn 18, Issue 7, 2006, Pages

  Venayagamoorthy, S K ^a   Fringer, O B ^a  

^a STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; COMPUTER SIMULATION; FLOW INTERACTIONS; MASS TRANSFER; SURFACE TOPOGRAPHY;

DIAPYCNAL MIXING; ENERGY FLUX; INTERNAL WAVES; SHELF BREAK;

GRAVITY WAVES;

AERODYNAMICS; COMPUTER SIMULATION; FLOW INTERACTIONS; GRAVITY WAVES; MASS TRANSFER; SURFACE TOPOGRAPHY;

EID: 33746664379     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2221863     Document Type: Article

References (34)

1. W. Munk and C. Wunsch, "Abyssal recipes II: Energetics of tidal and wind mixing," Deep-Sea Res. DESRAY0146-6291 45, 1977 (1998).
2. J. R. Ledwell, A. J. Watson, and C. S. Law, "Mixing of a tracer in the pycnocline," J. Geophys. Res. JGREA20148-0227 10321, 499 (1998).
3. K. L. Polzin, J. M. Toole, J. R. Ledwell, and R. W. Schmitt, "Spatial variability of turbulent mixing in the abyssal ocean," Science SCIEAS0036-807510.1126/science.276.5309.93 76, 93 (1997).
4. E. Kunze and J. M. Toole, "Tidally driven vorticity, diurnal shear, and turbulence atop fieberling seamount," J. Phys. Oceanogr. JPYOBT1520-0485 27, 2663 (1997).
5. L. A. Ostrovsky and Y. A. Stepanyants, "Do internal solitons exist in the ocean?" Rev. Geophys. REGEEP8755-1209 27, 293 (1989).
6. J. R. Apel, J. R. Holbrock, A. K. Liu, and J. J. Tsai, "The Sulu Sea internal soliton experiment," J. Phys. Oceanogr. JPYOBT1520-048510.1175/1520-0485(1985)015<1625:TSSISE>2.0.CO;2 15, 1625 (1985).
7. H. Sandstrom and N. S. Oakey, "Dissipation in internal tides and solitary waves," J. Phys. Oceanogr. JPYOBT1520-048510.1175/ 1520-0485(1995)025<0604:DIITAS>2.0.CO;2 25, 104 (1995).
8. J. M. Klymak and J. N. Moum, "Internal solitary waves of elevation advancing on a shoaling shelf," Geophys. Res. Lett. GPRLAJ0094-8276 30, 2045 (2003).
9. P. Hosegood, J. Bonnin, and H. van Haren, "Solibore-induced sediment resuspension in the Faeroe-Shetland Channel," Geophys. Res. Lett. GPRLAJ0094-8276 31, L09301 (2004).
10. A. Scotti and J. Pineda, "Observations of very large and steep internal waves of elevation near the Massachusetts coast," Geophys. Res. Lett. GPRLAJ0094-827610.1029/2004GL021052 31, L22307 (2004).
11. G. S. Carter, M. C. Gregg, and R.-C. Lien, "Internal waves, solitary waves, and mixing on the Monterey Bay shelf," Cont. Shelf Res. CSHRDZ0278-4343 25, 1499 (2005).
12. V. Vlasenko and K. Hutter, "Numerical experiments on the breaking of solitary internal waves over a slope-shelf topography," J. Phys. Oceanogr. JPYOBT1520-048510.1175/ 1520-0485(2002)032<1779:NEOTBO>2.0.CO;2 32, 1779 (2002).
13. S. A. Thorpe, "On the reflection of a strain of finite-amplitude internal waves from a uniform slope," J. Fluid Mech. JFLSA70022-112010.1017/S0022112087001228 178, 279 (1987).
14. T. Dauxois and W. R. Young, "Near-critical reflection of internal waves," J. Fluid Mech. JFLSA70022-112010.1017/S0022112099005108 390, 271 (1999).
15. O. M. Phillips, The Dynamics of the Upper Ocean (Cambridge University Press, Cambridge, 1977).
16. D. N. Slinn and J. J. Riley, "Turbulent dynamics of a critically reflecting internal gravity wave," Theor. Comput. Fluid Dyn. TCFDEP0935-496410.1007/s001620050094 11, 281 (1998).
17. A. Javam, J. Imberger, and S. W. Armfield, "Numerical study of internal wave reflection from sloping boundaries," J. Fluid Mech. JFLSA70022-112010.1017/S0022112099005996 396, 183 (1999).
18. D. Cacchione and C. Wunsch, "Experimental study of internal waves over a slope," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112074000164 66, 223 (1974).
19. G. N. Ivey and R. I. Nokes, "Vertical mixing due to the breaking of critical internal waves on sloping boundaries," J. Fluid Mech. JFLSA70022-112010.1017/S0022112089001849 204, 479 (1989).
20. G. N. Ivey, K. B. Winters, and I. P. D. De Silva, "Turbulent mixing in a sloping benthic boundary layer energized by internal waves," J. Fluid Mech. JFLSA70022-112010.1017/S0022112000008788 418, 59 (2000).
21. S. Legg and A. Adcroft, "Internal wave breaking at concave and convex continental slopes," J. Phys. Oceanogr JPYOBT1520-0485 33, 2224 (2003).
22. T. P. Stanton and L. A. Ostrovsky, "Observations of highly nonlinear internal solitons over the continental shelf," Geophys. Res. Lett. GPRLAJ0094-827610.1029/98GL01772 25, 2695 (1998).
23. P. D. Craig, "Internal wave dynamics over coastal topography," Ph.D thesis, University of Western Australia, 1985.
24. O. B. Fringer and R. L. Street, "The dynamics of breaking progressive interfacial waves," J. Fluid Mech. JFLSA70022-112010.1017/S0022112003006189 494, 319 (2003).
25. Y. Zang, R. L. Street, and J. R. Koseff, "A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinates," J. Comput. Phys. JCTPAH0021-999110.1006/jcph.1994.1146 114, 18 (1994).
26. Y. Zang and R. L. Street, "Numerical simulation of coastal upwelling and interfacial instability of a rotating stratified fluid," J. Fluid Mech. JFLSA70022-112010.1017/S0022112095004538 305, 47 (1995).
27. E. A. Zedler and R. L. Street, "Large-eddy simulation of sediment transport: Currents over ripples," J. Hydraul. Eng. JHEND80733-942910.1061/(ASCE)0733-9429(2001)127:6(444) 127, 444 (2001).
28. A. Cui and R. L. Street, "Large-eddy simulation of turbulent rotating convective flow development," J. Fluid Mech. JFLSA70022-1120 447, 53 (2001).
29. A. Cui and R. L. Street, "Large-eddy simulation of coastal upwelling flow," Environ. Fluid Mech. 4, 197 (2004).
30. P. K. Kundu, Fluid Mechanics (Academic, London, 1990).
31. E. T. Petruncio, L. K. Rosenfeld, and J. D. Paduan, "Observations of the internal tide in Monterey Canyon," J. Phys. Oceanogr. JPYOBT1520-0485 28, 1873 (1998).
32. K. B. Winters, P. N. Lombard, J. J. Riley, and E. A. D'Asaro, "Available potential energy and mixing in density-stratified flows," J. Fluid Mech. JFLSA70022-1120 289, 115 (1995).
33. S. K. Venayagamoorthy and O. B. Fringer, "Nonhydrostatic and nonlinear contributions to the energy flux budget in nonlinear internal waves," Geophys. Res. Lett. GPRLAJ0094-8276 32, L15603 (2005).
34. O. B. Fringer, "Numerical simulations of breaking interfacial waves," PhD thesis, Stanford University (2001).