A new form of higher order Boussinesq equations

Ocean Engineering

Volumn 27, Issue 5, 2000, Pages 557-575

  Zou, Z L ^a  

^a DALIAN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Boussinesq; Dispersion; Nonlinear; Water wave

Indexed keywords

DIFFERENTIATION (CALCULUS); DISPERSION (WAVES); EQUATIONS OF MOTION; POLYNOMIALS; TRANSFER FUNCTIONS; VELOCITY;

BOUSSINESQ EQUATIONS; DEPTH AVERAGED VELOCITY VECTOR; LINEAR DISPERSION; QUADRATIC TRANSFER FUNCTIONS; SHOALING PROPERTY;

WATER WAVES;

DISPERSION; MATHEMATICAL MODELING; WATER WAVE;

EID: 0344500859     PISSN: 00298018     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0029-8018(99)00007-4     Document Type: Article

References (13)

1. Boussinesq, J., 1872. Theory of wave and swells propagated in long horizontal rectangular canal and imparting to the liquid contained in this canal. Journal de Mathematiques pures et appliquees 17 (2), 55-108.
2. Gobbi, M.F., Kirby, J.T., 1996. A fourth order Boussinesq-type model, Proc. 25 Intl. Conf. Coastal Engrng., Orlando. 1116-1129.
3. Madsen, P.A., Murray, R., Sorensen, O.R., 1991. A new form of the Boussinesq equations with improved linear dispersion characteristics. Coast. Eng. 15, 371-388.
4. Madsen, P.A., Soresen, O.R., 1992. A new form of Boussinesq equations with improved linear dispersion characteristics. Part 2. A slowly-varying bathymetry. Coast. Eng. 18, 183-204.
5. Madsen, P.A., Sorensen, O.R., 1993. Bound waves and triad interactions in shallow water. Ocean Eng. 20 (4), 359-388.
6. Madsen, P. A., et al, 1996. Boussinesq type equations with high accuracy in dispersion and nonlinearity, Proc. 25 Intl. Conf. Coastal Engrng., Orlando. 95-108.
7. Mei, C.C., 1983. The applied dynamics of ocean surface wave. John Wiley. New York, N. Y.
8. Nwogu, O., 1993. Alternative form of Boussinesq equations for nearshore wave propagation. J. Waterw. Port Coastal Ocean Eng. ASCE 119 (6), 618-638.
9. Peregrine D, H., 1967. Long waves on a beach. J. Fluid Mech. 27, 815-827.
10. Schaffer, H.A., Madsen, P.A., 1995. Further enhancements of Boussineq-type equations. Coast. Eng. 26, 1-14.
11. Wei, G., Kirby, J.T., Grill, S.T., Subramanya, 1995. A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves. J. Fluid Mech. 294, 71-92.
12. Witting, J.M., 1984. A unified model for the evolution of nonlinear water waves. J Comput Phys 56, 203-236.
13. Zou, Z.L., 1999. Higher order Boussinesq equations. Ocean Engineering 26, 767-792.