| A THIRD-ORDER BOUSSINESQ MODEL APPLIED TO NONLINEAR EVOLUTION OF SHALLOW-WATER WAVES |
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| 引用本文： | Zhang Ying long CCM MINDEF,Department of Mech. and Prod. Eng.,National University of Singapore,10 Kent Ridge Crescent,Singapore 119260 Zhu Song ping Department of Mathematics,the University of Wollongong,Wollongong,NSW 2522,Australia. A THIRD-ORDER BOUSSINESQ MODEL APPLIED TO NONLINEAR EVOLUTION OF SHALLOW-WATER WAVES[J]. 水动力学研究与进展(B辑), 2000, 12(2) |
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| 作者姓名： | Zhang Ying long CCM MINDEF Department of Mech. and Prod. Eng. National University of Singapore 10 Kent Ridge Crescent Singapore 119260 Zhu Song ping Department of Mathematics the University of Wollongong Wollongong NSW 2522 Australia |
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| 作者单位： | Zhang Ying long CCM MINDEF，Department of Mech. and Prod. Eng.，National University of Singapore，10 Kent Ridge Crescent，Singapore 119260 Zhu Song ping Department of Mathematics，the University of Wollongong，Wollongong，NSW 2522，Australia |
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| 摘 要： | 1. INTRODUCTIONIncoastalandoceanengineering,thepredictionofwaverun-upwithadesirableaccuracyisoftenofparamountinterest.Previously,thesecond-orderBoussinesqmodel,whichassumesthatnonlinearanddispersiveeffectsarebothweakandofthesameorderofmagnitude,hasbeenextensivelyusedtostudytheevolutionofwavesinshallowwater(Peregrine,1967;MeiandUnliiata,1972etc.).Recently,theconventionalBoussinesqmodelhasalsobeenextendedtomodelwavesoveranintermediateorevenlargedepth,withinthescopeofasecond-ordertheory(wi…
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A THIRD-ORDER BOUSSINESQ MODEL APPLIED TO NONLINEAR EVOLUTION OF SHALLOW-WATER WAVES |
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| Zhang Ying-long,Zhu Song-ping. A THIRD-ORDER BOUSSINESQ MODEL APPLIED TO NONLINEAR EVOLUTION OF SHALLOW-WATER WAVES[J]. Journal of Hydrodynamics, 2000, 12(2) |
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| Authors: | Zhang Ying-long Zhu Song-ping |
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| Abstract: | The conventional Boussinesq model is extended to the third order in dispersion and nonlinearity. The new equations are shown to possess better linear dispersion characteristics. For the evolution of periodic waves over a constant depth, the computed wave envelops are spatially aperiodic and skew. The model is then applied to the study of wave focusing by a topographical lens and the results are compared with Whalin's (1971) experimental data as well as some previous results from the conventional Boussinesq model. Encouragingly, improved agreement with Whalin's experimental data is found. |
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| Keywords: | shallow water waves nonlinearity evolution third order Boussinesq model |
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