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REFLECTION AND TRANSMISSION OF AN INTERNAL SOLITARY WAVE OVER A STEP IN STRATIFIED FLUID
Author(s): WEI Gangyouyunxingmiaoguopingqinxueming(schoolofnavalarchitecture, OCEAN Andcivilengineering, SHANGHAI Jiaotonguniversity, SHANGHAI 200030, CHINA) (facultyofscience, INSTITUTE Ofmeteorology, PLA Universityofscienceandengineering, NANJING 211101, china)
Pages: 45-
53
Year: 2007
Issue:
1
Journal: Acta Mechanica Sinica
Keyword: 分层流体; 内孤立波; 潜水台阶; 反射; 透射;
Abstract: 基于匹配渐近展开和格林函数的方法,研究了两层流体系统中内孤立波在台阶地形上透射、反射及其分裂的演化特征.通过保角变换和求解奇异Fredholm积分方程,获得了反映地形效应对Boussinesq方程影响的约化边界条件,藉此建立了KdV演化方程的“初值”问题,根据散射反演理论获得了反射波和透射波的解析表达式.分忻结果表明:上下流体层的厚度比、密度比以及台阶高度对于反射和透射波振幅及其分裂具有显著的影响.尤其当上层流体厚度小于下层厚度时,由于存在临界点,在其附近反射波的幅值随台阶高度的演化由单调增变为单调减,透射波的幅值由单调减变为单调增;上台阶的反射波与入射波反相,其最大幅值可达到入射波的数倍;此外,下台阶反射波也可发展为单支孤立波,它区别于单层流体中反射波仅为衰减的振荡波列.
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