ZHONG Wan-xie, WU Feng, SUN Yan. Shallow Water Mechanical Shock Wave[J]. Applied Mathematics and Mechanics, 2017, 38(8): 845-852. doi: 10.21656/1000-0887.380078
Citation: ZHONG Wan-xie, WU Feng, SUN Yan. Shallow Water Mechanical Shock Wave[J]. Applied Mathematics and Mechanics, 2017, 38(8): 845-852. doi: 10.21656/1000-0887.380078

Shallow Water Mechanical Shock Wave

doi: 10.21656/1000-0887.380078
Funds:  The National Natural Science Foundation of China(11472076;51609034);China Postdoctoral Science Foundation(2016M590219)
  • Received Date: 2017-04-05
  • Rev Recd Date: 2017-06-13
  • Publish Date: 2017-08-15
  • 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.
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