The treatment of discontinuities in computing the nonlinear energy transfer for finite-depth gravity wave spectra

Journal of Atmospheric and Oceanic Technology

Volumn 20, Issue 1, 2003, Pages 206-216

  Gorman, Richard M ^a  

^a NATIONAL INSTITUTE OF WATER AND ATMOSPHERIC RESEARCH   (New Zealand)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; ENERGY TRANSFER; SURFACE WAVES; WIND;

SHALLOW WATER;

WATER WAVES;

ENERGY FLUX; GRAVITY WAVE; NUMERICAL MODEL; SHALLOW WATER; WAVE SPECTRUM; WAVE-WAVE INTERACTION; WIND WAVE;

EID: 0141677789     PISSN: 07390572     EISSN: None     Source Type: Journal    
DOI: 10.1175/1520-0426(2003)020<0206:TTODIC>2.0.CO;2     Document Type: Article

References (22)

1. Booij, N., R. C. Ris, and L. H. Holthuijsen, 1999: A third-generation wave model for coastal regions. 1. Model description and validation. J. Geophys. Res., 104, 7649-7666.
2. Gorman, R. M., and C. G. Neilson, 1999: Modelling shallow water wave generation and transformation in an intertidal estuary. Coastal Eng., 36, 197-217.
3. Hashimoto, N., H. Tsuruya, and Y. Nakagawa, 1998: Numerical computations of the nonlinear energy transfer of gravity-wave spectra in finite water depths. Coastal Eng. J. (Japan), 40, 23-40.
4. Hasselmann, K., 1962: On the non-linear energy transfer in a gravity-wave spectrum. Part 1. General theory. J. Fluid Mech., 12, 481-500.
5. Hasselmann, K., 1963: On the non-linear energy transfer in a gravity-wave spectrum. Part 2. Conservation theorems: Wave-particle analogy; irreversibility. J. Fluid Mech., 13, 273-281.
6. Hasselmann, K., and Coauthors, 1973: Measurements of wind-wave growth and swell decay during the Joint North Sea Wave Project (JONSWAP). Dtsch. Hydrogr. Z. 8 (12; Suppl. A), 1-95.
7. Hasselmann, S., and K. Hasselmann, 1985: Computations and parameterizations of the nonlinear energy transfer in a gravity wave spectrum. Part I: A new method for efficient computations of the exact nonlinear transfer integral. J. Phys. Oceanogr., 15, 1369-1377.
8. Hasselmann, S., K. Hasselmann, J. H. Allender, and T. P. Barnett, 1985: Computations and parameterizations of the nonlinear energy transfer in a gravity wave spectrum. Part II: Parameterizations of the nonlinear energy transfer for application in wave models. J. Phys. Oceanogr., 15, 1378-1391.
9. Hasselmann, S., and Coauthors, 1988: The WAM Model-A third generation ocean wave prediction model. J. Phys. Oceanogr., 18, 1775-1810.
10. Herterich, K., and K. Hasselmann, 1980: A similarity relation for the nonlinear energy transfer in a finite-depth gravity-wave spectrum. J. Fluid Mech., 97, 215-224.
11. Holthuijsen, L. H., N. Booij, and R. C. Ris, 1993: A spectral wave model for the coastal zone. Proc. Second Int. Symp. on Ocean Wave Measurement and Analysis, New Orleans, LA. ASCE. 630-641.
12. Komatsu, K., and A. Masuda, 1996: A new scheme of nonlinear energy transfer among wind waves: RIAM method-Algorithm and performance. J. Oceanogr., 52, 509-537.
13. Longuet-Higgins, M. S., 1976: On the nonlinear transfer of energy in the peak of a gravity-wave spectrum: A simplified model. Proc. Roy. Soc. London, A347, 311-328.
14. Masuda, A., 1980: Nonlinear energy transfer between wind waves. J. Phys. Oceanogr., 10, 2082-2092.
15. Mitsuyasu, H., F. Tasai, T. Suhara, S. Mizuno, M. Okhuso, T. Honda, and K. Rikiishi, 1975: Observations of the directional spectrum of ocean waves using a cloverleaf buoy. J. Phys. Oceanogr., 5, 750-760.
16. Resio, D. T., and W. Perrie, 1991: A numerical study of nonlinear energy fluxes due to wave-wave interactions. Part I. Methodology and basic results. J. Fluid Mech., 223, 603-629.
17. Resio, D. T., J. H. Pihl, B. A. Tracy, and C. L. Vincent, 2001: Nonlinear energy fluxes and the finite depth equilibrium range in wave spectra. J. Geophys. Res., 106, 6985-7000.
18. Ris, R. C., L. H. Holthuijsen, and N. Booij, 1999: A third-generation wave model for coastal regions. 2. Verification. J. Geophys. Res., 104, 7667-7681.
19. Snyder, R. L., W. C. Thacker, K. Hasselmann, S. Hasselmann, and G. Barzel, 1993: Implementation of an efficient scheme for calculating nonlinear transfer from wave-wave interactions. J. Geophys. Res., 98, 14 507-14 525.
20. Thacker, W. C., 1982: Some computational problems of oceanography. Finite Elements in Water Resources: Proceedings of the 4th International Conference, Hannover, Germany. June 1982. Springer-Verlag, 6.49-6.58.
21. Webb, D. J., 1978: Nonlinear transfer between sea waves. Deep-Sea Res., 25, 279-298.
22. Zakharov, V., 1999: Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid. Eur. J. Mech. B/Fluids, 18, 327-344.