浅水机械激波  

Shallow Water Mechanical Shock Wave

作　　者：钟万勰[1] 吴锋[1] 孙雁[2] 

机构地区：[1]工业装备结构分析国家重点实验室(大连理工大学),辽宁大连116023 [2]上海交通大学船舶海洋与建筑工程学院,上海200240

出　　处：《应用数学和力学》2017年第8期845-852,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11472076;51609034);中国博士后科学基金(2016M590219)~~

摘　　要：采用位移法和Lagrange坐标探索水跃问题.通过分析表明,在水平位移与竖向坐标无关的基本假定下,因垂直运动动能的存在,水跃不会是强间断,而是一个在间断面附近抖动的连续解,强间断是该连续解的极限.The hydraulic jump problem was studied by means of the displacement method and the Lagrangian coordinates. The discussion and the numerical example show that, under the fundamental assumption that the horizontal displacement is independent of the vertical coordi- nate, the hydraulic jump is not a type of strong discontinuous solution because of the kinetic energy of the vertical motion, but a continuous solution which fluctuates near the discontinuity. The strong discontinuity can be seen as the limit of the continuous solution.

关 键 词：浅水波 激波 位移法 乘法摄动 作用量 

分 类 号：O352[理学—流体力学]