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Nonlinear Dispersion Relation in Wave Transformation 被引量:6

Nonlinear Dispersion Relation in Wave Transformation
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摘要 A nonlinear dispersion relation is presented to model the nonlinear dispersion of waves over the whole range of possible water depths. It reduces the phase speed over prediction of both Hedges′ modified relation and Kirby and Dalrymple′s modified relation in the region of 1< kh <1 5 for small wave steepness and maintains the monotonicity in phase speed variation for large wave steepness. And it has a simple form. By use of the new nonlinear dispersion relation along with the mild slope equation taking into account weak nonlinearity, a mathematical model of wave transformation is developed and applied to laboratory data. The results show that the model with the new dispersion relation can predict wave transformation over complicated bathymetry satisfactorily. A nonlinear dispersion relation is presented to model the nonlinear dispersion of waves over the whole range of possible water depths. It reduces the phase speed over prediction of both Hedges′ modified relation and Kirby and Dalrymple′s modified relation in the region of 1< kh <1 5 for small wave steepness and maintains the monotonicity in phase speed variation for large wave steepness. And it has a simple form. By use of the new nonlinear dispersion relation along with the mild slope equation taking into account weak nonlinearity, a mathematical model of wave transformation is developed and applied to laboratory data. The results show that the model with the new dispersion relation can predict wave transformation over complicated bathymetry satisfactorily.
出处 《海洋工程:英文版》 2003年第1期117-122,共6页 China Ocean Engineering
基金 ThisworkwasfinanciallysupportedbytheNaturalScienceFoundationofChina (GrantNo .4 0 0 760 2 6and 4 0 0 760 2 8)
关键词 nonlinear dispersion relation wave transformation mild slope equation numerical simulation nonlinear dispersion relation wave transformation mild slope equation numerical simulation
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