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AN EXTENDED MODELING OF TIDE-WAVE MOTION
作者姓名:Zhang Qing hua  Xu Hao  Qu Yuan yuan First Institute of Oceanography  State Oceanic Administration  Qingdao  China Key Laboratory of Marine Science and Numerical Modeling  State Oceanic Administration  Qingdao  China
作者单位:Zhang Qing hua,Xu Hao,Qu Yuan yuan First Institute of Oceanography,State Oceanic Administration,Qingdao 266061,China Key Laboratory of Marine Science and Numerical Modeling,State Oceanic Administration,Qingdao 266061,China
基金项目:theNationalNaturalScienceFoundationofChina(No:4 973 61 90 )andtheMajorStateBasicesearchDevelopmentProgramofChina (No:G1 9990 4 3 80 0 )
摘    要:1 . INTRODUCTIONTostudythemotionofthetide waves,theshallowwaterequations ,i.e .theverticalintergra tionofthecontinuityequationandmomentumequa tion ,isconsideredasthegoverningequations.Byaboveequationstwoequationsrelatedtothehorizon talfluxofthetide currentsa…


AN EXTENDED MODELING OF TIDE-WAVE MOTION
Zhang Qing hua,Xu Hao,Qu Yuan yuan First Institute of Oceanography,State Oceanic Administration,Qingdao ,China Key Laboratory of Marine Science and Numerical Modeling,State Oceanic Administration,Qingdao ,China.AN EXTENDED MODELING OF TIDE-WAVE MOTION[J].Journal of Hydrodynamics,2001(3).
Authors:Zhang Qing hua  Xu Hao  Qu Yuan yuan First Institute of Oceanography  State Oceanic Administration  Qingdao  China Key Laboratory of Marine Science and Numerical Modeling  State Oceanic Administration  Qingdao  China
Affiliation:Zhang Qing hua,Xu Hao,Qu Yuan yuan First Institute of Oceanography,State Oceanic Administration,Qingdao 266061,China Key Laboratory of Marine Science and Numerical Modeling,State Oceanic Administration,Qingdao 266061,China
Abstract:By vertical boundary conditions, a spectral expansion of horizontal tide wave velocity is done in vertical direction in terms of a complete basis functions selected properly, hence a relation between tide levels and spectral components is found theoretically under condition of ignoring the horizontal friction stress and nonlinear effect. And a relation between bottom friction of tide current, which satisfies the viscous condition on sea bottom, and tide levels is determined. The relation is different from the relation of the traditional parameterizing of bottom friction. Moreover integration of the continuity equation and momentum equations is carried out in the vertical direction using zero flux condition on solid boundaries and inputting condition on open boundaries, and then a boundary value problem of elliptic form on the tide levels is constructed.
Keywords:tide  waves  basis function  spectral expansion  bottom friction
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