Current effects on nonlinear interactions of shallow-water waves

Journal of Waterway, Port, Coastal and Ocean Engineering

Volumn 125, Issue 4, 1999, Pages 176-186

  Chen, Qin ^a   Madsen, Per A ^b   Basco, David R ^c  

^a UNIVERSITY OF DELAWARE   (United States)

^b TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^c Old Dominion University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; DISPERSION (WAVES); HARMONIC GENERATION; MATHEMATICAL MODELS; NUMERICAL METHODS; OCEAN CURRENTS; WATER WAVES;

BEAT LENGTH; BOUSSINESQ MODEL; CURRENT EFFECTS; EVOLUTION EQUATIONS; NONLINEAR INTERACTIONS; RATIO OF THE ENERGY; SHALLOW WATER; URSELL NUMBER;

SURFACE WATERS;

NONLINEARITY; SHALLOW WATER; WAVE-CURRENT INTERACTION;

EID: 0032845755     PISSN: 0733950X     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-950X(1999)125:4(176)     Document Type: Article

References (23)

1. Armstrong. J. A., Bloembergen, N., Ducuing, J., and Pershan, P. S. (1962). "Interaction between light waves in a nonlinear dielectric." Physical Rev., B, 127, 1918-1939.
2. Baddour, R. E., and Song, S. W. (1990). "Interaction of higher-order water waves with uniform currents." Oc. Engrg., 17(6), 551-568.
3. Banijamali, B. (1997). "A study of enhanced Boussinesq equations and their numerical modeling," PhD thesis, Aalborg University and International Research Center for Computational Hydrodynamics (ICCH), Danish Hydraulic Institute, Denmark.
4. Boczar-Karakiewicz, B. (1972). "Transformation of wave profile in shallow water - A Fourier analysis." Arch. Hydrptechnik, 19, 197-210.
5. Bretherton, F. P. (1964). "Resonant interactions between waves: The case of discrete oscillation." J. Fluid Mech., 20, 457-480.
6. Bryant, P. J. (1973). "Periodic waves in shallow water." J. Fluid Mech., 59, 625-644.
7. Buhr-Hansen, J., and Svendsen, I. A. (1974). "Laboratory generation of waves of constant form." Proc., 14th Int. Conf. Coast. Engrg., ASCE. 320-338.
8. Chapalain, G., Cointe, R., and Temperville, A. (1992). "Observed and modelled resonantly interacting progressive water waves." Coast. Engrg., 16, 267-301.
9. Chen, Q., (1997). "The study of wave-blocking and current effects on nonlinear interactions of shallow-water waves using advanced Boussinesq models," PhD thesis, Old Dominion University, Virginia, and International Research Centre for Computational Hydrodynamics (ICCH), Danish Hydraulic Institute, Denmark.
10. Chen, Q., Madsen, P. A., Schäffer, H. A., and Basco, D. R. (1998). "Wave-current interaction based on an enhanced Boussinesq approach." Coast. Engrg., 33, 11-39.
11. Dingemans, M. W. (1997). Water wave propagation over uneven bottoms. Part 2 - Non-linear wave propagation. World Scientific, River Edge, N.J., 806-814.
12. Freilich, M. H., and Guza, R. T. (1984). "Nonlinear effects on shoaling surface gravity waves." Philosophical Trans. Royal Soc., London, A331, 1-41.
13. Goda, Y. (1967). Traveling secondary wave crests in wave channels. Technical Report, Vol. 13, Port and Harbor Research Institute, Japan, 32-38.
14. Hasselmann, K. (1962). "On the non-linear energy transfer in a gravitywave spectrum - General theory." J. Fluid Mech., 12(1), 481-500.
15. Larsen, J., and Dancy, H. (1983). "Open boundaries in short-wave simulations - A new approach." Coast. Engrg., 7(3), 285-297.
16. Luth, H. R., Klopman, G., and Kitou, N. (1994). "Project 13G: Kinematics of waves breaking partially on an offshore bar: LDV measurements for wave with and without a net offshore current." Delft Hydraulics, Rep. H 1573.
17. Madsen, P. A., Banijamali, B., Schäffer, H. A., and Soørensen, O. R. (1996). "Higher order Boussinesq type equations with improved dispersion and nonlinearity." Proc., 25th Int. Conf. Coast. Engrg., ASCE, 95-108.
18. Madsen, P. A., and Schäffer, H. A. (1998). "Higher order Boussinesqtype equations: Derivation and analysis." Philosophical Trans. Royal Soc., London, 356, 3123-3184.
19. Madsen, P. A., and Soørensen, O. R. (1993). "Bound waves and triad interactions in shallow water." Oc. Engrg., 20, 359-388.
20. Mei, C.-C., and Ünlüata, U. (1972). "Harmonic generation in shallow water waves." Waves on beaches, R. E. Meyer, ed., Academic, New York, 181-202.
21. Phillips, O. M. (1960). "On the dynamics of unsteady gravity waves of finite amplitude. Part 1." J. Fluid Mech., 9, 193-217.
22. Wei, G., Kirby, J. T., Grilli, S. T., and Subramanya, R. (1995). "A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves." J. Fluid Mech., 294, 71-92.
23. Yoon, S. B., and Liu, P. L.-F. (1989). "Interaction of currents and weakly nonlinear water waves in shallow water." J. Fluid Mech., 205, 397-419.