Numerical modeling of nonlinear resonance of semi-enclosed water bodies: Description and experimental validation

Coastal Engineering

Volumn 55, Issue 1, 2008, Pages 21-34

  Losada, Inigo J ^a   Gonzalez Ondina, Jose M ^a   Diaz Hernandez, Gabriel ^a   Gonzalez, Ernesto M ^a  

^a UNIVERSITY OF CANTABRIA   (Spain)

Author keywords

Bays; Boussinesq equations; Resonance; Water waves; Wave propagation

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; MESH GENERATION; RESONANCE; WATER WAVES;

BOUSSINESQ EQUATION; SEMI-ENCLOSED WATER BODIES;

COASTAL ZONES;

COASTAL ZONES; COMPUTER SIMULATION; FINITE ELEMENT METHOD; MESH GENERATION; RESONANCE; WATER WAVES;

BATHYMETRY; BOUSSINESQ EQUATION; FINITE ELEMENT METHOD; NUMERICAL MODEL; RESONANCE; SEMIENCLOSED SEA; WATER WAVE; WAVE PROPAGATION;

EID: 36249014290     PISSN: 03783839     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.coastaleng.2007.06.002     Document Type: Article

References (22)

1. Antunes Do Carmo J.S., Seabra Santos F.J., and Barthelemy E. Surface waves propagation in shallow water: a finite element model. International Journal for Numerical Methods in Fluids 16 6 (1993) 447-459
2. Codina A. Stabilized finite element method for generalized stationary incompressible flows. Computer Methods in Applied Mechanics and Engineering 190 (2001) 2681-2706
3. Engelman M.S., Sani R.L., and Gresho P.M. The implementation of normal and/or tangential boundary conditions in finite element codes for incompressible fluid flow. International Journal for Numerical Methods in Fluids 2 (1982) 225-238
4. Hughes T.J.R. Multiscale phenomena, Green's function, the Dirichlet-to-Neumann formulation, subgrid scale models bubbles and the origins of stabilized formulations. Computer Methods in Applied Mechanics and Engineering 127 (1995) 387-401
5. Katapodes N.D., and Wu C.-T. Computational of finite-amplitude dispersive waves. Journal of Waterway, Port, Coastal and Ocean Engineering, ASCE 113 (1987) 327-346
6. Kennedy A.B., Chen Q., Kirby J.T., and Dalrymple R.A. Boussinesq Modeling of Wave Transformation, Breaking, and Runup. I: 1D. Journal of Waterway, Port, Coastal and Ocean Engineering, ASCE 126 (2000) 39-47
7. Liu P.L.-F. Model equations for wave propagations from deep to shallow water. In: Liu P.L.-F. (Ed). Advances in Coastal and Ocean Engineering vol. 1 (1994) 125-157
8. Liu P.-F.L., and Losada I.J. Wave Propagation Modeling in Coastal Engineering. Journal of Hydraulic Research, IAHR 40 3 (2002) 229-240 IAHR, Vol. 40, No. 3: 229--240
9. Madsen P.A., and Sorensen O.R. A new form of the Boussinesq equations with improved Linear Dispersion Characteristics Part 2. A Slowly-Varying Bathymetry. Coastal Engineering 18 (1992) 183-204
10. Nwogu O. Alternative form of Boussinesq equations for nearshore wave propagation. Journal of Waterways, Port, Coastal, Ocean Engineering, ASCE 119 (1993) 618-638
11. Peregrine D.H. Long waves on a beach. Journal of Fluid Mechanics 27 (1967) 815-827
12. Pinder G.F., and Gray W.G. Finite Element Simulation in Surface and Subsurface Hydrology (1977), Academic Press, N.York 295
13. Rogers S.R., and Mei C.C. Nonlinear resonant excitation of a long and narrow bay. Journal of Fluid Mechanics 88 (1978) 161-180
14. Shapiro R. Smoothing, filtering, and boundary effects. Reviews of Geophysics and Space Physics 8 (1970) 359-387
15. Smagorinsky J. General circulation experiments with the primitive equations. I. The basic experiment. Monthly Weather Review 91 (1963) 99-165
16. Sorensen O.R., Schäffer H.A., and Sørensen L.S. Boussinesq-type modelling using an unstructured finite element technique. Coastal Engineering 50 (2004) 181-198
17. Walkley M., and Berzins M. A finite element method for the one-dimensional extended Boussinesq equations. International Journal of Numerical Methods in Fluids 29 (1999) 143-157
18. Walkley M., and Berzins M. A finite element method for the two-dimensional extended Boussinesq equations. International Journal for Numerical Methods in Fluids 39 (2002) 865-885
19. Wei G., Kirby J.T., Grilli S.T., and Subramanya R. A fully nonlinear Boussinesq model for surface waves. Part 1. Highly nonlinear unsteady waves. Journal of Fluid Mechanics 294 (1995) 71-92
20. Wei G., Kirby J.T., and Sinha A. Generation of waves in Boussinesq models using a source function method. Coastal Engineering 36 (1999) 271-299
21. Woo S.-B., and Liu P.L.-F. Finite-Element Model for Modified Boussinesq Equations. I: Model Development. Journal of Waterway, Port, Coastal and Ocean Engineering, ASCE 130 1 (2004) 1-16
22. Woo S.-B., and Liu P.L.-F. Finite-Element Model for Modified Boussinesq Equations.II: Applications to Nonlinear Harbor Oscillations. Journal of Waterway, Port, Coastal and Ocean Engineering, ASCE 130 1 (2004) 17-28