Wu Wei-xiong. Finite Element Analysis for the Unsteady Nearshore Circulation Due to Wave-Current Interaction(Ⅰ)──Nnmerical Model[J]. Applied Mathematics and Mechanics, 1994, 15(8): 713-718.
 Citation: Wu Wei-xiong. Finite Element Analysis for the Unsteady Nearshore Circulation Due to Wave-Current Interaction(Ⅰ)──Nnmerical Model[J]. Applied Mathematics and Mechanics, 1994, 15(8): 713-718.

# Finite Element Analysis for the Unsteady Nearshore Circulation Due to Wave-Current Interaction(Ⅰ)──Nnmerical Model

• Publish Date: 1994-08-15
• In this paper, a numerical model for predicting the unsteady nearshore circulation due to wave-current interaction was proposed. In addition to the traditional continuity, momentum and energy equations, the dispersion and refraction relations were included in the governing equations. Moreover, the effects of lateral shears, wind, radiation and bottom stresses were analysed in the governing equations. Therefore, we expect that this model may more completely and exactly reflect the law of wave-current interaction.In part(Ⅱ) we will adopt the.selective lumping two-step explicit finite element method to solve the model, and some examples will be presented.
•  [1] Birkemeir,W.A.and R.A.Dalrymple,Nearshore water circulation induced by wind and waves,Proc.of the Symposium on Modeling Technique,ASCE(1975). [2] Noda,E.K.,C.T.Sonu,V.C.Rupert and J.I.Collins.Nearshore circulations under sea breeze conditions and wave-current interactions in the surf zone,Tetra Tech.Report TC-149-4,February(1974). [3] Kawahara,Mutsuto,Kazuo Kashiyama and Yasuro Iriye,Finite element analysis of coastal process,Finite Element Flow Analysis,Tokyo University Press(1982). [4] Longuet-Higgins,M.S.and R.M Stewart,Radiation stress and mass transport in gravity waves with application to surf beats,Journal of Fluid Mechanics,13(1962),481-504. [5] Connor,J.J.and C.A.Brebbia,Finite Element Techniquesfor Fluid Flow,Butterworth and Co.(Publishers) Ltd.(1976)

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