Linear analysis of the multi-layer model

✍ Scribed by Patrick J. Lynett; Philip L.-F. Liu

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 975 KB
• Volume: 51
• Category: Article
• ISSN: 0378-3839
• DOI: 10.1016/j.coastaleng.2004.05.004

✦ Synopsis

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 À 1 free parameters, while the depth-averaged equations have N À 1. A linear optimization is performed, showing that increasing the number of layers leads to better deepwater wave behavior.