Three-dimensional large eddy simulation of breaking waves

Coastal Engineering Journal

Volumn 41, Issue 3-4, 1999, Pages 281-301

  Watanabe, Yasunori ^a   Saeki, Hiroshi ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

Large eddy simulation; Large scale eddy; Three dimensional velocity field; Turbulence; Wave breaking

Indexed keywords

BOUNDARY LAYERS; BREAKWATERS; COMPUTER SIMULATION; FLOW OF FLUIDS; JETS; TURBULENCE; VELOCITY MEASUREMENT;

LARGE EDDY SIMULATION (LES); THREE DIMENSIONAL VELOCITY FIELDS; WAVE BREAKING;

WATER WAVES;

EID: 0001115570     PISSN: 21664250     EISSN: 17936292     Source Type: Journal    
DOI: 10.1142/s0578563499000176     Document Type: Article

References (33)

1. Andreassen, Ø. and Wasberg, C. E. (1994). Gravity wave breaking in two and three dimensions 1. Model description and comparison of two-dimensional evolution, J. Geophys. Res. 99(D4): 8095-8108.
2. Andreassen, Ø., Hvidsten, P. Ø., Fritts, D. C. and Arendt, S. (1998). Vorticity dynamics in a breaking internal gravity wave. Part 1. Initial instability evolution, J. Fluid Mech. 367: 27-46.
3. Battjes, J. A. (1988). Surf-zone Dynamics, Annu. Rev. Fluid Mech. 20: 257-293.
4. Brooks, A. N. and Hughes, T. J. R. (1982). Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Srokes equations, Comput. Meth. Appl. Mech. Eng. 32: 199-259.
5. Chan, R. O. C. and Street, R. L. (1970). A Computer study of finite Amplitude water waves, J. Comp. Phys. 6: 68-94.
6. Fritts, D. C., Garten, J. F. and Andressen, Ø. (1996). Wave breaking and transition to turbulence in stratified shear flows, J. Atmospheric Sciences 53, 8, pp. 1057-1085.
7. Hirt, C. W. and Nichols, B. D. (1981). Volume of fluid method for the dynamics of free boundaries, J. Comp. Phys. 39: 201-225.
8. Iversen, H. W. (1952). Waves and breakers in shoaling water, Proc. 3rd Conf. Coastal Eng., pp. 1-12.
9. Kawasaki, K. and Iwata, K. (1998). Numerical analysis of wave breaking due to submerged breakwater in three-dimensional wave field, Proc. Int. Conf. Coastal Eng. 1: 853-866.
10. LeMéhauté, B. (1962). On non-saturated breakers and wave run-up, Proc. 8th Int. Conf. Coastal Eng, pp. 77-92.
11. Lin, P. and Liu, P. L.-F. (1998). A numerical study of breaking waves in the surf zone, J. Fluid Mech. 359: 239-264.
12. Lin, P. and Liu, P. L.-F. (1998). Turbulence transport, vorticity dynamics, and solute mixing under plunging breaking waves in surf zone, J. Geophys. Res. 103(C8): 15,677-15,694.
13. Nadaoka, K., Hino, M. and Koyano, Y. (1989). Structure of the turbulent flow field under breaking waves in the surf zone, J. Fluid Mech. 204: 359-387.
14. Park, J. C. and Miyata, H. (1994). Numerical simulation of the non-linear free-surface flow caused by breaking waves, FED 181, Free-Surface Turbulence, ASME, pp. 155-168.
15. Piomelli, U. (1989). Application of renormarization group theory to the large eddy simulation of transitional boundary layers, Instab. Transition 2: 480-496.
16. Pregrine, D. H. (1983). Breaking waves on beaches, Ann. Rev. Fluid Mech. 15: 149-178.
17. Robert, R. and Barton, J. M. (1990). Non-linear Reynolds stress models and the renormalization group, Phys. Fluids A2, 8, pp. 1473-1476.
18. Sakai, T., Mizutani, T., Tanaka, H. and Tada, Y. (1986). Vortex formation in plunging breaker, Proc. 20th Int. Conf. Coastal Eng., pp. 711-723.
19. Svendsen, I. A. and Madsen, P. A. (1984). A turbulent bore on a beach, J. Fluid Mech. 148: 73-96.
20. Takewaki, H., Nishiguchi, A. and Yabe, T. (1985). Cubic inter pseudo-particle method (CIP) for solving hyperbolic-type equations, J. Comp. Phys. 61: 261-268.
21. Takewaki, H. and Yabe, T. (1987). The Cubic-interpolated pseudo particle (CIP) method: Application to non-linear and multi-dimensional hyperbolic equations, J. Comp. Phys. 70: 355-372.
22. Takikawa K., Yamada, F. and Matsumoto, K. (1997). Internal characteristics and numerical analysis of plunging breaker on a slope, Coastal Eng. 31: 143-161.
23. Yabe, T. and Aoki, T. (1991). A universal solver for hyperbolic equations by cubic-polynomial interpolation I. one-dimensional solver, Comp. Phys. Comm. 66: 219-232.
24. Yabe, T., Ishikawa, T., Wang, P. Y. and Aoki, T. (1991). A universal solver for hyperbolic equations by cubic-polynomial interpolation I. two-and three-dimensional solvers, Comp. Phys. Comm. 66: 233-242.
25. Yabe, T. and Wang, P. Y. (1991). Unified numerical procedure for compressible and incompressible fluid, J. Phys. Soc. Japan 60, 7, pp. 2105-2108.
26. Yakhot, V. and Orszag, S. A. (1986). Renormalization group analysis of turbulence (I. Basic theory), J. Sci. Comp. 1: 3-51.
27. Yakhot, V., Orszag, S. A., Thangam, S., Gatski, T. B. and Speziale, C. G. (1992). Development of turbulence models for shear flows by a double expansion technique, Phys. Fluids A4, 7, pp. 1510-1520.
28. Yoshizawa, A. (1993). Derivation of a model Reynolds-stress transport equation using the renormalization of the eddy-viscosity-type representation, Phys. Fluids A5, 3, pp. 707-715.
29. Yoshizawa, A. (1993). Bridging between eddy-viscosity-type and second-order turbulence models through a two-scale theory, Phys. Rev. E, pp. 273-281.
30. Watanabe, Y. and Saeki, H. (1996). Numerical analysis of breaking waves, Hydraulic Engineering Software IV, Computational Mechanics Publication, pp. 385-394.
31. Watanabe, Y. and Mori, N. (1997). Three-dimensional characteristics of velocity field and effects of undertow in a surf zone, Proc. 7th Int. Offshore Polar Eng. Conf. 3: 247-253.
32. Watanabe, Y., Mori, N. and Saeki, H. (1998). Fluid motion in a surf Zone, Proc. Int. Conf. Hydro-Science Eng. (CD-ROM).
33. Watanabe, Y., Hayakawa, T., Orihashi, T. and Saeki, H. (1998). Fluid motion with wave overtopping behind a breakwater, Proc. Techno-Ocean 98: 481-484 (in Japanese).