Surface wave propagation over slowly varying media oftopography and non-uniform three-dime

Surface wave propagation over slowly varying media oftopography and non-uniform three-dimensional currents

佚名

【期刊名称】《自然科学进展（英文版）》 【年(卷),期】2000(010)005

【摘要】The influence of ambient current fields on the mild-slope approximation is reassessed using theHamiltonian variational principle. Considering the slowly modulated non-uniform currents which may possess both verti-cal and horizontal variations, the extended mild-slope equation for surface waves propagating over slowly varying topogra-phy is derived. It is found that for large current velocities comparable to the wave celerity and the group velocity, the ex-tended mild-slope equation is valid. For the validity of the geometric optics-approximation, additional conditions con-cerning current fields should be satisfied.

【总页数】6页(387-392)

【关键词】Hamiltonian variational principle;mild-slope equation;slowly varying

non-uniform

three-dimensional

currents;geometric-optics

approximation 【作者】佚名

【作者单位】State Key Laboratory of Estuarine & Coastal Research, East