Analytical and numerical studies for Seiches in a closed basin with bottom friction  

作　　者：I.Magdalena H.Q.Rif'atin A.Mauditra A.Matin 

机构地区：[1]Faculty of Mathematics and Natural Sciences,Bandung Institute of Technology,Bandung 40132,Indonesia [2]Center for Coastal and Marine Develoment,Bandung Institute of Technology,Bandung 40132,Indonesia

出　　处：《Theoretical & Applied Mechanics Letters》2020年第6期429-437,共9页力学快报（英文版）

基　　金：supported by the ITB Research Grant。

摘　　要：A standing wave oscillation in a closed basin,known as a seiche,could cause destruction when its period matches the period of another wave generated by external forces such as wind,quakes,or abrupt changes in atmospheric pressure.It is due to the resonance phenomena that allow waves to have higher amplitude and greater energy,resulting in damages around the area.One condition that might restrict the resonance from occurring is when the bottom friction is present.Therefore,a modified mathematical model based on the shallow water equations will be used in this paper to investigate resonance phenomena in closed basins and to analyze the effects of bottom friction on the phenomena.The study will be conducted for several closed basin shapes.The model will be solved analytically and numerically in order to determine the natural resonant period of the basin,which is the period that can generate a resonance.The computational scheme proposed to solve the model is developed using the staggered grid finite volume method.The numerical scheme will be validated by comparing its results with the analytical solutions.As a result of the comparison,a rather excellent compatibility between the two results is achieved.Furthermore,the impacts that the friction coefficient has on the resonance phenomena are evaluated.It is observed that in the prevention of resonances,the bottom friction provides the best performance in the rectangular type while functioning the least efficient in the triangular basin.In addition,non-linearity effect as one of other factors that provide wave restriction is also considered and studied to compare its effect with the bottom friction effect on preventing resonance.

关 键 词：Wave resonance Closed basin Bottom friction Natural resonant period Shallow water equations 

分 类 号：O353.2[理学—流体力学]