The analytic description of hydraulic jump in the linear theory of the shear shallow-water flows

被引:4
|
作者
Semenko, Evgeny V. [1 ,2 ]
机构
[1] Novosibirsk State Tech Univ, Dept Engn Math, Novosibirsk, Russia
[2] Novosibirsk State Pedag Univ, Dept Math, Novosibirsk, Russia
关键词
REFLECTION; REFRACTION; WAVES; MODEL;
D O I
10.1063/1.5072772
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This article is devoted to the analytic description of the hydraulic jump in frames of the linear theory of the shear shallow-water flows. Linearization on the piecewise-constant solution is used, and the solution of linear problem is constructed using the Fourier transform, such as in the classical shock wave theory. It allows the solution to be analyzed analytically, in particular, to predict the absence or presence of the hydraulic jump toe oscillations (in terms of shock wave theory-to separate the cases of stability and neutral stability). The simplified example of flows is analyzed, and the formulas for the mentioned separation are obtained.
引用
收藏
页数:12
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