Linear analysis of the multi-layer model
Linear analysis of the multi-layer model
复制标题
DOI：
10.1016/j.coastaleng.2004.05.004
复制
发表时间：
2004-08-01
影响因子：
4.4
通讯作者：
Liu, PLF
中科院分区：
文献类型：
--
作者：
Lynett, PJ;Liu, PLF
对任意N层的原始运动方程进行分段积分，导出了水波传播的模型方程。在每一层中，确定一个独立的速度剖面。提出并比较了多层模型的深度平均和“扩展”版本。在层的界面处匹配N个独立的速度剖面，得到的“扩展”方程集有2N-1个自由参数，而深度平均方程有N-1个自由参数。进行了线性优化，表明增加层数会导致更好的深水波行为。(C) 2004 Elsevier b.v.版权所有
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. (C) 2004 Elsevier B.V All rights reserved.