Experimental study of the generation, damping, and reflexion of a solitary wave

Renouard, Dominique P.; Santos, F.J.Seabra; Temperville, André M.

doi:10.1016/0377-0265(85)90008-9

Cited by 45 publications

(23 citation statements)

References 13 publications

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“…In the vicinity of the dam, linear superposition of the incoming and reflected wave leads to increased wave heights (USACE, 1949;PIANC, 1986). While propagating along a channel, the height of the surge gradually decreases because of energy dissipation at the boundaries (Renouard et al, 1985) and, in case of nonzero channel flow, also due to additional friction caused by the mean flow (Godin, 1985;Godin, 1991). Combining all these processes, the wave height at any given location is the result of its initial amplitude, channel geometry, attenuation, and superposition either with reflected parts of the wave or with other surges.…”

Section: Generation and Properties Of Ship-lock-induced Surgesmentioning

confidence: 99%

Ship‐lock–induced Surges in an Impounded River and Their Impact on Subdaily Flow Velocity Variation

Maeck

Lorke

2013

River Research & Apps

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The majority of large rivers are fragmented by dams, and navigation is often supported by the installation of ship locks. Despite their ubiquitous existence, the effect of ship locks on river basin hydrodynamics is rarely considered in an environmental context. Ship-lock operation induces single-wave crests or troughs called surges, which propagate along the basin and are subject to reflection at the up-and downstream impoundments. We used pressure sensors and acoustic Doppler current profiler measurements to investigate the effects of up-and downstream ship locking on the water level and the current velocity dynamics in a 12.9-km-long basin of the impounded river Saar (Germany).Ship lifting at the lower dam and the associated water export from the basin results in a negative surge propagating upstream, whereas a descending ship-lock operation at the upper dam of the basin creates a positive surge propagating downstream. Both types of waves are subject to positive reflection at the opposing dams. Frequent lock operations lead to a complex pattern of multiple superimposing surges. The resulting water level fluctuations are comparable in magnitude with those associated with discharge variations due to hydropower peaking but occur at much shorter timescales. Associated with the water surface displacement during wave passage is a corresponding increase or decrease of the longitudinal current velocity. The magnitude of wave-induced velocity fluctuations can exceed mean flow velocities by a factor of three and, depending on wave type and direction, can result in a reversal of the main flow direction of the river. Because of their longevity of several hours and superposition effects, ship-lock-induced surges govern 66.3% and 45.4% of the subdaily variations in flow velocity and water level, respectively. This article concludes with a discussion of the potential effects of lock-induced flow dynamics in impoundments on oxygen dynamics and methane ebullition.

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Section: Generation and Properties Of Ship-lock-induced Surgesmentioning

confidence: 99%

Ship‐lock–induced Surges in an Impounded River and Their Impact on Subdaily Flow Velocity Variation

Maeck

Lorke

2013

River Research & Apps

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“…e.g. [29], that experimentally observed solitary waves reflected from a vertical wall exhibit a permanent loss of amplitude, but this could be due to a large extent to dissipative effects present in any experiment in real channels with real fluids. It is worth note that analogous numerical simulations of the Euler equations, cf.…”

Section: Beforementioning

confidence: 99%

Numerical solution of Boussinesq systems of the Bona–Smith family

Antonopoulos

Dougalis

Mitsotakis

2010

Applied Numerical Mathematics

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In this paper we consider the one-parameter family of Bona-Smith systems, which belongs to the class of Boussinesq systems modelling two-way propagation of long waves of small amplitude on the surface of water in a channel. We study numerically three initial-boundary-value problems for these systems, corresponding, respectively, to homogeneous Dirichlet, reflection, and periodic boundary conditions posed at the endpoints of a finite spatial interval. We approximate these problems using the standard Galerkin-finite element method for the spatial discretization and a fourth-order, explicit Runge-Kutta scheme for the time stepping, and analyze the convergence of the fully discrete schemes. We use these numerical methods as exploratory tools in a series of numerical experiments aimed at illuminating interactions of solitary-wave solutions of the Bona-Smith systems, such as head-on and overtaking collisions, and interactions of solitary waves with the boundaries.

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“…This fact was confirmed in numerous experimental works [4] (solitons were, as a rule, created by wave-producers of a special form) and theoretical investigations (see, e.g., [5]). As for the solitary waves formed on the surface of a fluid under the action of winds, they can be regarded as one of the stages of the development of wind waves in their well-known evolution from capillary to trochoidal waves.…”

Section: Introductionmentioning

confidence: 59%

Investigation of wind-induced solitary waves in a circular aerohydrochannel

Mochulin

Shelkovnikov

2006

Phys Oceanogr

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The mechanisms of initiation and interaction of wind-induced solitary waves in a circular aerohydrochannel are experimentally investigated. We study the influence of flotation (floating mass) and surface-active substances on the time of formation of a soliton and its parameters. It is shown that the increase in the concentration of surface-active substances and the amount of flotation leads to an increase in the time of initiation wind-induced solitary wave. It is shown that, in the case of small difference between the amplitudes of the interacting solitons, they behave as particles. In the case where the difference between the amplitudes is significant, the larger soliton passes through the smaller, which leads to the formation of a single soliton as a result of multiple interaction between the original solitons.

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Experimental study of the generation, damping, and reflexion of a solitary wave

Cited by 45 publications

References 13 publications

Ship‐lock–induced Surges in an Impounded River and Their Impact on Subdaily Flow Velocity Variation

Ship‐lock–induced Surges in an Impounded River and Their Impact on Subdaily Flow Velocity Variation

Numerical solution of Boussinesq systems of the Bona–Smith family

Investigation of wind-induced solitary waves in a circular aerohydrochannel

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