%0 Journal Article
%T A MILD-SLOPE EQUATION AND ITS WAVE ACTION CONSERVATION FOR WAVE-CURRENT INTERACTIONS
波-流相互作用的缓坡方程及其波作用量守恒
%A Huang Hu
%A
黄虎
%J 力学学报
%D 2005
%I
%X When surface waves propagate from the open sea to the coastal waters, the ubiquitous wavecurrent interactions are affected strongly by bottom topography. Using Hamiltonian variational principle for water waves, a mild-slope equation for wave-current interactions over arbitrary depth in the near shore region is developed, including the second-order effects arising from a general changes of waves, currents and depths, reducing to some typical mild-slope type equations and leading to a generalized eikonal equation. It is shown that the wave action conservation holds for the mild-slope equation.
%K wave-current interactions
%K mild-slope equation
%K second-order effects
%K wave action conservation
%K the eikonal equation
波-流相互作用
%K 缓坡方程
%K 二阶效应
%K 波作用量守恒
%K 程函方程
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=5D344E2AD54D14F8&jid=4100DA4A1A3BA1B0CE5AD99AE1DFB420&aid=E53D666FDD6B757A&yid=2DD7160C83D0ACED&vid=42425781F0B1C26E&iid=94C357A881DFC066&sid=821800203AD09E7B&eid=250DF325A002B9CC&journal_id=0459-1879&journal_name=力学学报&referenced_num=0&reference_num=23