摘要
To account for effects of nonlinearty on the wave-propagationcharacteristics, by using Green's second i-dentity a nonlinear consistent equation for water wavespropagating over arbitrary depths is derived by introducing a function as approximation to the exactvelocity protential function for the nonlinear governing equations, which can be simplified to tehlinear uniform mild-slope equation given by Zhang and Edge recently. In shallow water the equationreduces to a nonlinear equation of Boussinesq-type. In deep water the nonlinear dispersion relationfor Stokes expansion is found.
To account for effects of nonlinearty on the wave-propagationcharacteristics, by using Green's second i-dentity a nonlinear consistent equation for water wavespropagating over arbitrary depths is derived by introducing a function as approximation to the exactvelocity protential function for the nonlinear governing equations, which can be simplified to tehlinear uniform mild-slope equation given by Zhang and Edge recently. In shallow water the equationreduces to a nonlinear equation of Boussinesq-type. In deep water the nonlinear dispersion relationfor Stokes expansion is found.
基金
ProjectsupportedbytheNationalNaturalScienceFoundationofChina(GrantNo:10272072)theOpenFoundationoftheStateKeyLaboratoryofEstuarineandCoastalResearch(SKLEC) theOpenFoundationoftheStateKeyLaboratoryofNonlinearMechanics (LNM) andShanghaiKeySubjectProgram
