二维任意缓变深度水域上行波的解析解  

Analytic Solutions of the 2-D Progressive Water Waves on the Mild Varied Bottom

作　　者：邹光远[1] 

机构地区：[1]北京大学力学与工程科学系,北京100871

出　　处：《水动力学研究与进展（A辑）》1999年第4期475-483,共9页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金资助项目 !批准号 195 72 0 0 2

摘　　要：本文在线性水波的范围内,利用Fourier变换和留数定理,对二维问题,给出了在缓变底部上行波的解析解。由于本文保留了深度导数的一阶项,因而不要求底部变化十分平缓。在其适用范围内,不需要作长波假定,且适用于各种不同地形。而从这一解析表达式出发,可以有效地建立变水深波的开路边条件,从而可以突破目前各类开路边条件原则上只适用于人为边界处及其外部区域为等水深或近于等水深的限制。In this papet, the analytic solutions of 2 D progressive water waves moving along the mildly varying bottom are derived by using the Fourier transformation. The long wave assumption is not necessary for the analytic solutions. The restriction of the mild slope can be released since the first order slope terms in the bottom boundary condition are retained. The derived analytic solutions can be used to design the open boundary conditions of water wave problems which need not to set the artificial boundary in constant or near constant depth domain.

关 键 词：缓变深度 水波 FOURIER变换 解析解 

分 类 号：O353.2[理学—流体力学]