| STUDY OF LONG-WAVE BREAKING |
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| 作者姓名： | 田纪伟 李鸿雁 胡敦欣 张发高 侯一筠 |
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| 作者单位： | Institute of Oceanology，Chinese Academy of Sciences，Qingdao 266071 |
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| 基金项目： | Contribution No.2288 from the lnstitute of Oceanology,Chinese Academy of Sciences. |
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| 摘 要： | This paper reports study on the mechanism of long-wave breaking in a one-dimensional open chan-nel,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 par-tial differential equations(PDE).A pair of Riemann invariants are introduced to transform the governingequations into ordinary differential equations(ODE)along the characteristic directions of the governingequations.From the properties of the solutions of the ODE,the time and location of wave breakingare estimated and the criterion of long-wave breaking for the case with linear bottom friction is obtained.
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| 收稿时间： | 12 June 1993 |
Study of long-wave breaking |
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| Tian Ji-wei,Li Hong-yan,Hu Dun-xin,Zhang Fa-gao,Hou Yi-jun.STUDY OF LONG-WAVE BREAKING[J].Chinese Journal of Oceanology and Limnology,1994,12(2):136-143. |
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| Authors: | Tian Ji-wei Li Hong-yan Hu Dun-xin Zhang Fa-gao Hou Yi-jun |
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| Institution: | (1) Institute of Oceanology, Chinese Academy of Sciences, 266071 Qingdao |
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| Abstract: | This paper reports study on the mechanism of long-wave breaking in a one-dimensional open chan nel, 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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| Keywords: | long-wave breaking linear bottom friction Riemann invariants |
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