A numerical study of submarine–landslide–generated waves and run–up
A numerical study of submarine–landslide–generated waves and run–up
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DOI：
10.1098/rspa.2002.0973
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发表时间：
2002-12
期刊：
影响因子：
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通讯作者：
P. Lynett;P. Liu
中科院分区：
文献类型：
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作者：
P. Lynett;P. Liu
本文建立了一个描述海底滑坡水波产生和传播的数学模型。该模型由深度积分的连续性方程和动量方程组成，其中地面运动是强迫函数。这些方程包括完全非线性，但弱频散，效果。该模型能够描述波浪从相对较深的水域向浅水区的传播。还提出了海底小位移或蠕动地面运动产生的波浪的简化模型。针对一般的完全非线性模型，提出了一种数值算法。与边界积分方程法模型进行了比较，并根据潜艇质量的特征边长确定了深度积分模型的深水极限。讨论了波浪生成区域和海岸线运动中的非线性和频散的重要性。
A mathematical model is derived to describe the generation and propagation of water waves by a submarine landslide. The model consists of a depth–integrated continuity equation and momentum equations, in which the ground movement is the forcing function. These equations include full nonlinear, but weak frequency–dispersion, effects. The model is capable of describing wave propagation from relatively deep water to shallow water. Simplified models for waves generated by small seafloor displacement or creeping ground movement are also presented. A numerical algorithm is developed for the general fully nonlinear model. Comparisons are made with a boundary integral equation method model, and a deep–water limit for the depth–integrated model is determined in terms of a characteristic side length of the submarine mass. The importance of nonlinearity and frequency dispersion in the wave–generation region and on the shoreline movement is discussed.