TY - JOUR
T1 - Linear analysis of the multi-layer model
AU - Lynett, Patrick J.
AU - Liu, Philip L.F.
N1 - Funding Information:
The research reported here is partially supported by Grants from National Science Foundation (CMS-9528013, CTS-9808542, and CMS-9908392).
PY - 2004/8
Y1 - 2004/8
N2 - A set of model equations for water wave propagation is derived by piecewise integration of the primitive equations of motion through N arbitrary layers. Within each layer, an independent velocity profile is determined. Depth-averaged and "extended" versions of the multi-layer model are presented and compared. With N separate velocity profiles, matched at the interfaces of the layers, the resulting set of "extended" equations have 2N-1 free parameters, while the depth-averaged equations have N-1. A linear optimization is performed, showing that increasing the number of layers leads to better deep-water wave behavior.
AB - A set of model equations for water wave propagation is derived by piecewise integration of the primitive equations of motion through N arbitrary layers. Within each layer, an independent velocity profile is determined. Depth-averaged and "extended" versions of the multi-layer model are presented and compared. With N separate velocity profiles, matched at the interfaces of the layers, the resulting set of "extended" equations have 2N-1 free parameters, while the depth-averaged equations have N-1. A linear optimization is performed, showing that increasing the number of layers leads to better deep-water wave behavior.
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U2 - 10.1016/j.coastaleng.2004.05.004
DO - 10.1016/j.coastaleng.2004.05.004
M3 - Article
AN - SCOPUS:12144258079
SN - 0378-3839
VL - 51
SP - 439
EP - 454
JO - Coastal Engineering
JF - Coastal Engineering
IS - 5-6
ER -