Mathematical modeling of tsunami wave propagation at mid ocean and its amplification and run-up on shore  

作　　者：Archana C.Varsoliwala Twinkle R.Singh 

机构地区：[1]Applied Mathematics and Humanities Department,Sardar Vallabhbhai National Institute of Technology,Surat 395007,Gujarat,India

出　　处：《Journal of Ocean Engineering and Science》2021年第4期367-375,共9页海洋工程与科学（英文）

摘　　要：The paper deals with the study of the mathematical model of tsunami wave propagation along a coast-line of an ocean.The model is based on shallow-water assumption which is represented by a system of non-linear partial differential equations.In this study,we employ the Elzaki Adomian Decomposition Method(EADM)to successfully obtain the solution for the proposed model for different coastal slopes and ocean depths.How tsunami wave velocity and run-up height are affected by the coast slope and sea depth are demonstrated.The Adomian Decomposition Method together with Elzaki transform allows for solutions,without the need of any linearization or perturbation,in the form of rapidly converging series.The obtained numerical results for tsunami wave height and velocity are very close match to the real physical phenomenon of tsunami.

关 键 词：Tsunami wave propagation Run-up height Shallow water equations Elzaki Adomian Decomposition Method Convergence analysis 

分 类 号：P73[天文地球—海洋科学]