<正> The influence of ambient current fields on the mild-slope approximation is reassessed using the Hamiltonian variational principle. Considering the slowly modulated non-uniform currents which may possess both vertical and horizontal variations, the extended mild-slope equation for surface waves propagating over slowly varying topography is derived. It is found that for large current velocities comparable to the wave celerity and the group velocity?the extended mild-slope equation is valid. For the validi...
【英文摘要】
The influence of ambient current fields on the mild-slope approximation is reassessed using the Hamiltonian variational principle. Considering the slowly modulated non-uniform currents which may possess both vertical and horizontal variations, the extended mild-slope equation for surface waves propagating over slowly varying topography is derived. It is found that for large current velocities comparable to the wave celerity and the group velocity?the extended mild-slope equation is valid. For the validity o...
【基金】
Project supported by the National Science Foundation for Distinguished Youth Scholars, China, (Grant No.49825161) and Shanhai Postadoctoral scientific Research foundation.
【分类号】
P333
【正文快照】
The development of aeeurate wave theories 15 of vital importanee to eoastal or oeean engineeringpraetiee .The wave field 15 deeply affeeted by the alnbient eurrents .Many engineering problems,suehas sediment transport,ship navigation and loads on sea stru