应用数学和力学2017，Vol.38Issue(8)：845-852,8.DOI:10.21656/1000-0887.380078
浅水机械激波
Shallow Water Mechanical Shock Wave
摘要
Abstract
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 coordinate,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Key words
shallow water wave/shock wave/displacement method/multiplicative perturbation/action分类
数理科学引用本文复制引用
钟万勰,吴锋,孙雁..浅水机械激波[J].应用数学和力学,2017,38(8):845-852,8.基金项目
The National Natural Science Foundation of China (11472076 （）
51609034) （）
China Postdoctoral Science Foundation(2016M590219)国家自然科学基金(11472076 （2016M590219）
51609034) （）
中国博士后科学基金(2016M590219) （2016M590219）
