A Numerical Model for Extended Boussinesq Equations in Generalized Curvilinear Coordinates and its Application to Solitary Wave Propagation in Curved Channel

Abstract

一般曲線座標系に変換された拡張型ブジネスク方程式に対する数値モデルを開発し, 曲水路での孤立波の伝播解析に適用した.最初に, 水路幅および入射波高が, 孤立波の透過・反射特性に及ぼす影響について検討し, その特徴を明らかにした.次に, 水路屈曲部における越波に関する検討項目の1つとして, 外周壁面上での最大遡上高を算出し, その値がShiら(1998)の提案した無次元パラメータにより良く整理できることを示した。

A numerical model is developed for extended Boussinesq equations expressed in generalized curvilinear coordinate system. The model is applied to the study of solitary wave propagation through curved channels. The effects of channel width and incident wave height on the transmission and reflection properties are studied to understand the general features of solitary wave propagation. The maximum wave run-up at the outer vertical wall of channel is also investigated in order to estimate the possibility of wave overtopping at channel bends. Our numerical results show that the maximum run-up depends on one single dimensionless parameter proposed by Shi et al.(1998).