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Mathematical Modelling of Non-Linear Transient Long Waves by using Finite Element Method in an Irregular Shaped Harbour
Mathematical and Computer Modelling of Dynamical Systems ( IF 1.8 ) Pub Date : 2021-09-07 , DOI: 10.1080/13873954.2021.1973510
Sukhwinder Kaur 1 , Prashant Kumar 1 , Rajni 2
Affiliation  

ABSTRACT

Extreme waves significantly affect the coastal structures, activities, and population. Therefore, investigation of extreme wave impact on coastal regions is essential. In this study, a mathematical model is presented to analyse the impact of transient long waves on coastal structures. The mathematical model is constructed based on the Boussinesq equation (BE) with variable water depth including dispersion properties. The numerical solution of BE is constructed by using FEM. The present numerical model is validated through the existing study of Lepelletier (1981) and convergence analysis is also conducted to determine the convergence rate. The present FEM model is implemented on realistic Paradip port, Odisha, India to determine the wave amplitude at various record stations. In addition, the impact of incident waves with angular variation is analysed in the Paradip port. The causes and countermeasures have been proposed based on the simulation results to improve the resonance in the port.



中文翻译:

不规则形状港口非线性瞬态长波的有限元数学建模

摘要

极端波浪显着影响沿海结构、活动和人口。因此,研究极端海浪对沿海地区的影响至关重要。在这项研究中,提出了一个数学模型来分析瞬态长波对沿海结构的影响。数学模型是基于 Boussinesq 方程 (BE) 构建的,具有可变水深,包括分散特性。BE 的数值解是通过使用 FEM 构建的。目前的数值模型通过 Lepelletier (1981) 的现有研究得到验证,并且还进行了收敛分析以确定收敛速度。目前的 FEM 模型在印度奥里萨邦的现实帕拉迪普港实施,以确定各个记录站的波幅。此外,在 Paradip 端口中分析了具有角度变化的入射波的影响。并根据仿真结果提出了改善端口谐振的原因和对策。

更新日期:2021-09-07
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