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Title:A MULTI-LAYER APPROACH TO BOUSSINESQ-TYPE MODELING
DOI No:10.1142/9789812701916_0005
Source:COASTAL ENGINEERING 2004 (pp 82-93)
Author(s):P. LYNETT
Department of Civil and Ocean Engineering, Texas A&M University, College Station, TX 77845-3136, USA

P. L.-F. LIU
School of Civil and Environmental Engineering, Cornell University, Ithaca, NY 14850, USA

H.-H. HWUNG
Hydraulics and Ocean Engineering Department, National Cheng Kung University, Taiwan, R.O.C.

Abstract:A set of model equations for water wave propagation is derived by piecewise integration of the primitive equations of motion through N arbitrary layers. With N separate velocity profiles, matched at the interfaces of the layers, the resulting set of "extended" equations have 2N-1 free parameters. The values of these parameters is chosen based on an optimization with known analytical properties of water waves. The optimized model equations show good linear wave characteristics into deep water, with accuracy increasing with number of layers. A numerical algorithm for solving the model equations is developed and tested against one- and two-horizontal dimension cases. Agreement with laboratory data is excellent.
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