Time dependent hydraulic falls and trapped waves over submerged obstructions

Page, Charlotte and Parau, Emilian (2014) Time dependent hydraulic falls and trapped waves over submerged obstructions. Physics of Fluids, 26 (12). ISSN 1070-6631

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Abstract

We consider the classical problem of a free surface flowing past one or more disturbances in a channel. The fluid is assumed to be inviscid and incompressible, and the flow, irrotational. Both the effects of gravity and surface tension are considered. The stability of critical flow steady solutions, which have subcritical flow upstream of the disturbance and supercritical flow downstream, is investigated. We compute the initial steady solution using boundary integral equation techniques based on Cauchy integral formula and advance the solution forward in time using a mixed Euler-Lagrange method along with Adams-Bashforth-Moulton scheme. Both gravity and gravity-capillary critical flow solutions are found to be stable. The stability of solutions with a train of waves trapped between two disturbances is also investigated in the pure gravity and gravity-capillary cases.

Item Type: Article
Additional Information: © 2014 AIP Publishing LLC
Uncontrolled Keywords: free surface flows,hydraulic falls,gravity-capillary waves
Faculty \ School: Faculty of Science > School of Computing Sciences
Faculty of Science
Faculty of Science > School of Mathematics
Depositing User: Pure Connector
Date Deposited: 02 Jan 2015 11:56
Last Modified: 05 Sep 2020 23:37
URI: https://ueaeprints.uea.ac.uk/id/eprint/51285
DOI: 10.1063/1.4904034

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