Browse > Article

Shoaling Characteristics of Boussinesq Models with Varying Nonlinearity  

Park, Seung-Min (Department of Civil Engineering, Kyungsung University)
Yoon, Jong-Tae (Department of Civil Engineering, Kyungsung University)
Publication Information
Journal of Korean Society of Coastal and Ocean Engineers / v.20, no.1, 2008 , pp. 121-127 More about this Journal
Abstract
Numerical experiments with weakly nonlinear MIKE21 BW module and fully nonlinear FUNWAVE model are performed to identify the nonlinear characteristics of Boussinesq models with varying nonlinearity. Generation of waves with varying amplitudes, nonlinear shoaling and wave propagation over submerged bar experiments showed the importance of nonlinear model in shallow water where nonlinearity becomes prominent. Fully nonlinear model showed the nonsymmetrical wave form more clearly and gave larger shoaling coefficients than those of weakly nonlinear model.
Keywords
weakly nonlinear; fully nonlinear; Boussinesq model; shoaling; wave propagation;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Abbott, M.B., Petersen, H.M. and Skovgaard, O., 1978. On the numerical modelling of short waves in shallow water. J Hydr Res., 16, pp.173-204   DOI   ScienceOn
2 Nwogu, O., 1993. An alternative form of the Boussinesq equations for nearshore wave propagation, J. Waterway, Port, Coastal and Ocean Engrg., 119(6), pp.618-638   DOI   ScienceOn
3 Peregrine, D.H., 1967. Long wave on a beach, J. Fluid Mech., 27, pp.815-827   DOI
4 Wei, G. and Kirby, J.T., 1995. Time-dependent numerical code for extended Boussinesq equations, J. Waterway, Port, Coastal and Ocean Engrg., 121(5), pp.251-261   DOI   ScienceOn
5 Wei, G., Kirby, J.T., Grilli, S.T. and Subramanya, R., 1995. A fully nonlinear Boussinesq model for surface waves. Part I: Highly nonlinear unsteady waves, J. Fluid Mech., 294, pp.71-92   DOI   ScienceOn
6 Madsen P.A. and Sorensen, O.R., 1992. A new form of the Bussinesq equations with improved linear dispersion characteristics, Part 2: A slowly- varying bathymetry. Coastal Eng., 18. pp.183-204   DOI   ScienceOn
7 Freilich, M.H. and Guza, R.T., 1984. Nonlinear effects on shoaling surface gravity waves, Proc. Roy. Soc. London, A311, pp.1-41
8 Elgar, S. and Guza, R.T., 1985. Shoaling gravity waves : Comparisons between field observations, Linear thoery and a nonlinear model, J. Fluid Mech., 158, pp.47-70   DOI   ScienceOn
9 Shuto, N., 1974. Nonlinear long waves in a channel of variable section, Coastal Engineering in Japan, JSCE. 17, pp.1-12   DOI
10 Madsen, P.A., Murray, R. and Sorensen, O.R., 1991. A new form of Boussinesq equations with improved linear dispersion characteristics, Coast. Engrg., 15(4), pp.371-388   DOI   ScienceOn
11 Beiji, S. and Battjes, J.A., 1993. Experimental investigation of wave propagation over a bar, Coastal Engineering, 19, pp.151-162   DOI   ScienceOn