Linear analysis of the multi-layer model
نویسندگان
چکیده
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 deepwater wave behavior. D 2004 Elsevier B.V. All rights reserved.
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