Study of long-wave breaking

Tian Ji-wei; Li Hong-yan; Hu Dun-xin; Zhang Fa-gao; Hou Yi-jun

doi:10.1007/BF02850512

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Study of long-wave breaking

Updated：2023-05-16

- Study of long-wave breaking
- Journal of Oceanology and Limnology Vol. 12, Issue 2, Pages: 136-143(1994)
- Affiliations：
  
  Institute of Oceanology
- Author bio：
- Funds：
- DOI：10.1007/BF02850512
  CLC：
- Published：1994
- Accepted：
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Ji-wei, T., Hong-yan, L., Dun-xin, H. et al. Study of long-wave breaking., Chin. J. Ocean. Limnol. 12, 136–143 (1994). https://doi.org/10.1007/BF02850512
DOI：

Ji-wei, T., Hong-yan, L., Dun-xin, H. et al. Study of long-wave breaking., Chin. J. Ocean. Limnol. 12, 136–143 (1994). https://doi.org/10.1007/BF02850512 DOI：

摘要

Abstract

This paper reports study on the mechanism of long-wave breaking in a one-dimensional open channel

without bottom friction

or with linear bottom friction. In general

the wave breaking phenomenon is related to the notion of “blow-up of solution” and can be studied by using the blow-up theory of partial differential equations (PDE). A pair of Riemann invariants are introduced to transform the governing equations into ordinary differential equations (ODE) along the characteristic directions of the governing equations. From the properties of the solutions of the ODE

the time and location of wave breaking are estimated and the criterion of long-wave breaking for the case with linear bottom friction is obtained.

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references

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