Internal Mechanical Shock Wave: an Explanation of the Ocean Shock Current

WU Feng; ZHONG Wanxie

doi:10.21656/1000-0887.400138

Volume 40 Issue 8

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WU Feng, ZHONG Wanxie. Internal Mechanical Shock Wave: an Explanation of the Ocean Shock Current[J]. Applied Mathematics and Mechanics, 2019, 40(8): 823-839. doi: 10.21656/1000-0887.400138

Citation:

WU Feng, ZHONG Wanxie. Internal Mechanical Shock Wave: an Explanation of the Ocean Shock Current[J]. Applied Mathematics and Mechanics, 2019, 40(8): 823-839. doi: 10.21656/1000-0887.400138

Citation:

WU Feng, ZHONG Wanxie. Internal Mechanical Shock Wave: an Explanation of the Ocean Shock Current[J]. Applied Mathematics and Mechanics, 2019, 40(8): 823-839. doi: 10.21656/1000-0887.400138

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Internal Mechanical Shock Wave: an Explanation of the Ocean Shock Current

doi: 10.21656/1000-0887.400138

Department of Engineering Mechanics, Dalian University of Technology, Dalian, Liaoning 116023, P.R.China

Funds: The National Natural Science Foundation of China(51609034;11472076)

Received Date: 2019-04-16
Publish Date: 2019-08-01

Abstract

Abstract

With the Lagrangian coordinate and the Hamiltonian principle, the 2D displacement internal wave equation was derived. Based on the 2D displacement internal wave equation, the 2D internal mechanical shock wave in the 2-layer shallow water system was analyzed numerically and analytically. In terms of the numerical examples, it is found that the internal mechanical shock wave have 4 characteristics, i.e., high velocity, short duration, narrow space range and shock change of water surface, which means the ocean shock current is essentially an internal mechanical shock wave. The internal mechanical shock wave also provides an explanation for the ocean cliffs.
- internal mechanical shock wave,
- ocean shock current,
- ocean cliff,
- Lagrangian coordinate,
- Hamiltonian principle

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References(17)

References

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