Efficient numerical scheme based on the method of lines for the shallow water equations  

作　　者：Mohamed M.Mousa 

机构地区：[1]Department of Basic Science,Faculty of Engineering at Benha,Benha University,Benha 13512,Egypt [2]Department of Mathematics,College of Sciences and Human Studies at Howtat Sudair,Majmaah University,11952,Saudi Arabia

出　　处：《Journal of Ocean Engineering and Science》2018年第4期303-309,共7页海洋工程与科学（英文）

基　　金：supported by PSRC(A Project Funded by the Basic Science Research Center of Majmaah University,KSA)and Project No.60/38.

摘　　要：In this paper,a nonlinear shallow-water model of tsunami wave propagation at different points along a coastline of an ocean has been numerically simulated using method of lines.The simulation is carried out for various coastal slopes and the ocean depths.The effects of the coast slope and sea depth on the tsunami wave run-up height and velocity are illustrated.The accuracy of the mathematical model is verified by solving a classical test problem with known analytic solution.The computed run-up height and velocity show satisfactory agreement with the tsunami wave physics.

关 键 词：Shallow-water equation Tsunami wave Run-up height Method of lines. 

分 类 号：P73[天文地球—海洋科学]