Finite-Element Model for Modified Boussinesq Equations. II: Applications to Nonlinear Harbor Oscillations
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VIEW THE ORIGINAL ARTICLEPublication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 130, Issue 1
Abstract
The finite-element model for modified Boussinesq equations developed in Part I of this paper is used to study harbor resonance problems. The internal wavemaker technique is implemented on an unstructured finite-element mesh, and a sponge layer is used as an open boundary condition. Both linear and nonlinear harbor oscillations in rectangular and circular basins are examined, and experimental measurements and analytical solutions are used to validate the model. Finally, the wavelet transform is employed to analyze transient features of the nonlinear resonance problem.
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References
Bowers, E. C.(1977). “Harbor resonance due to set-down beneath wave groups.” J. Fluid Mech., 79, 71–92.
Chen, H. S., and Mei, C. C. (1974). “Oscillations and wave forces in an offshore harbor.” Rep. No. 190, Dept. of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Mass.
Ippen, A. T., and Goda, Y. (1963). “Wave induced oscillations in harbor: The solution for a rectangular harbor connected to the open-sea.” Rep. No. 59, Dept. of Civil Engineering, Massachusetts Institute of Technology, Cambridge, Mass.
Jeong, W. M. (1999). “Field study and finite element analysis of harbor oscillations.” PhD thesis, Seoul National Univ., Seoul, Korea.
Lee, J. J.(1971). “Wave-induced oscillations in harbors of arbitrary geometry.” J. Fluid Mech., 45, 375–394.
Lepelletier, T. G. (1980). “Tsunamis—Harbor oscillations induced by nonlinear transient long waves.” W. M. Keck Laboratory Rep. No. KH-R-41, California Institute of Technology, Pasadena, Calif.
Lepelletier, T. G., and Raichlen, F.(1987). “Harbor oscillations induced by nonlinear transient long waves.” J. Waterw., Port, Coastal, Ocean Eng., 113(4), 381–400.
Li, Y. S., Liu, S.-X., Yu, Y.-X., and Lai, G.-Z.(1999). “Numerical modeling of Boussinesq equations by finite element method.” Coastal Eng., 37, 97–122.
Lillycrop, L. S., Briggs, M. J., Harkins, G. S., Boc, S. J., and Okihiro, M. S. (1993). “Barbers Point Harbor, Oahu, Hawaii, monitoring study.” Technical Rep. CERC-93-18, U.S. Army Engineers Waterways Experiment Station, Vicksburg, Miss.
Mei, C. C., and Agnon, Y.(1989). “Long-period oscillations in a harbour induced by incident short waves.” J. Fluid Mech., 208, 595–608.
Nwogu, O.(1993). “Alternative form of Boussinesq equations for nearshore wave propagation.” J. Waterw., Port, Coastal, Ocean Eng., 119(6), 618–638.
Panchang, V. G., Chen, W., Xu, B., Schlenker, K., Demirbilek, Z., and Okihiro, M.(2000). “Exterior bathymetric effects in elliptic harbor wave models.” J. Waterw., Port, Coastal, Ocean Eng., 126(2), 71–78.
Rogers, S. R., and Mei, C. C.(1978). “Nonlinear resonant excitation of a long and narrow bay.” J. Fluid Mech., 88, 161–180.
Tsay, T. K., and Liu, P. L.-F.(1983). “A finite element model for wave refraction and reflection.” Appl. Ocean. Res., 5(1), 30–37.
Walkley, M., and Berzins, M.(2002). “A finite element method for the two-dimensional extended Boussinesq equations.” Int. J. Numer. Methods Fluids, 39, 865–885.
Wei, G., and Kirby, J. T.(1995). “Time-dependent numerical code for extended Boussinesq equations.” J. Waterw., Port, Coastal, Ocean Eng., 121(5), 251–261.
Wei, G., Kirby, J. T., and Sinha, A.(1999). “Generation of waves in Boussinesq models using a source function method.” Coastal Eng., 36, 271–299.
Woo, S.-B., and Liu, P. L.-F.(2004). “Finite-element model for modified Boussinesq equations. I: Model development.” J. Waterw., Port, Coastal, Ocean Eng., 130(1), 1–16.
Wu, J.-K., and Liu, P. L.-F.(1990). “Harbor excitations by incident wave groups.” J. Fluid Mech., 217, 595–613.
Xu, B., Panchang, V., and Demirbilek, Z.(1996). “Exterior reflections in elliptic harbor wave models.” J. Waterw., Port, Coastal, Ocean Eng., 122(3), 118–126.
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 130 • Issue 1 • January 2004
Pages: 17 - 28
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: Nov 27, 2002
Accepted: Jun 9, 2003
Published online: Dec 15, 2003
Published in print: Jan 2004
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