Time-periodic generalised solitary waves with a hydraulic fall

被引:0
|
作者
Shelton, Josh [1 ]
机构
[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, England
基金
英国工程与自然科学研究理事会;
关键词
solitary waves; topographic effects; FLOW;
D O I
10.1017/jfm.2024.749
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In an open channel flow, deviations to the lower topography can induce abrupt changes in the wave height, known as hydraulic jumps. This phenomenon occurs when the flow switches from subcritical to supercritical (or vice versa), ), and is commonly observed in rivers, flumes and weirs. Theoretical insight is typically sought through the study of reduced models such as the forced Korteweg-de Vries equation, in which previous work has predominantly focused on either stationary formulations or the initial transient behaviour caused by perturbations. In a joint theoretical and numerical study of the free-surface Euler equations, Keeler & Blyth (J. J. Fluid Mech., , vol. 993, 2024, A9) have detected a new class of unsteady solutions to this problem. These emerge from an unstable steady solution, and feature large-amplitude time-periodic ripples emitted from a sudden decrease in the water depth forced by topography, known as a hydraulic fall.
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页数:5
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