The analytic solution of the Shallow-Water Equations with partially open sluice-gates: The dam-break problem

Cozzolino, Luca; Cimorelli, Luigi; Covelli, Carmine; Morte, Renata Della; Pianese, Domenico

doi:10.1016/j.advwatres.2015.03.010

Cited by 43 publications

(24 citation statements)

References 37 publications

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“…Unless the water is shallow enough to flow unimpeded below the barrier, these fluxes cannot be found using the Riemann solver (11)-there is a leaky barrier obstructing the flow and so the shallow water Equation 3are no longer valid. There are two steps for solving a similar problem involving a sluice gate [72]. First, find the mass flux q through the hydraulic structure using a well-understood steady-state discharge equation.…”

Section: Leaky Barriers As Internal Boundary Conditionsmentioning

confidence: 99%

Modelling the Impact of Leaky Barriers with a 1D Godunov-Type Scheme for the Shallow Water Equations

Leakey

Hewett

Glenis

et al. 2020

Water

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There is increasing interest in distributing small-scale interventions across the landscape as an alternative means of reducing flood risk. One such intervention, the leaky barrier, is introduced in channels to slow down high flows and encourage temporary storage on the floodplain. While these barriers have been implemented widely, there is still resistance to their use at the scales required to impact significantly on flood risk, at least partially due to an evidence gap. In particular, there is no standard method for representing leaky barriers in hydraulic models. This study sets out a methodology for developing mathematical models which capture the hydraulics of leaky barriers accurately, allowing key questions about their combined behaviour in catchments to be answered. A 1D Godunov-type scheme is set up and leaky barriers incorporated with internal boundary conditions. This model is tested against benchmarks from the literature and new steady-state data, and then run predictively on transient cases. The method will help to answer key questions about the optimal leakiness of small-scale interventions, the limits to their usefulness, and how combinations of barriers may or may not cause synchronisation problems when the effect of multiple barriers is aggregated.

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Section: Leaky Barriers As Internal Boundary Conditionsmentioning

confidence: 99%

Modelling the Impact of Leaky Barriers with a 1D Godunov-Type Scheme for the Shallow Water Equations

Leakey

Hewett

Glenis

et al. 2020

Water

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“…The flow through the sluice gate can be categorized into free-surface and submerged flow, as shown in Figure 1a,b, respectively. For free-surface flow (Figure 1a), the flow is open to the atmosphere at the downstream side of the gate, and the discharge through the gate can be calculated via an Energy-Momentum (E-M) formula [35]…”

Section: Gate Modelmentioning

confidence: 99%

“…In the flux term coupling approach, the gate is idealized as and aligned with a cell interface [35], as shown in Figure 2. Mass and momentum fluxes are considered at both sides of the gate when calculating the fluxes across the cell edge (i.e., gate).…”

Section: Flux Term Coupling Approachmentioning

confidence: 99%

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Simulation of Hydraulic Structures in 2D High-Resolution Urban Flood Modeling

Cui

Liang

Wang

et al. 2019

Water

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Urban flooding as a result of inadequate drainage capacity, failure of flood defenses, etc. is usually featured with highly transient hydrodynamics. Reliable and efficient prediction and forecasting of these urban flash floods is still a great technical challenge. Meanwhile, in urban environments, the flooding hydrodynamics and process may be influenced by flow regulation and flood protection hydraulic infrastructure systems, such as sluice gates, which should be effectively taken into account in an urban flood model. However, direct simulation of hydraulic structures is not a current practice in 2D urban flood modeling. This work aims to develop a robust numerical approach to directly simulate the effects of gate structures in a 2D high-resolution urban flood model. A new modeling component is developed and fully coupled to a finite volume Godunov-type shock-capturing shallow water model, to directly simulate the highly transient flood waves through hydraulic structures. Different coupling approaches, i.e., flux term coupling and source term coupling, are implemented and compared. A numerical experiment conducted for an analytical dam-break test indicates that the flux term coupling approach may lead to more accurate results, with the calculated RMSE against water level 28%–38% less than that produced by the source term coupling approach. The flux term coupling approach is therefore adopted to improve the current urban flood model, and it is further tested by reproducing the laboratory experiments of flood routing in a flume with partially open sluice gates, conducted in the hydraulic laboratory at the Zhejiang Institute of Hydraulics and Estuary, China. The numerical results are compared favorably with experimental measurements, with a maximum RMSE of 0.0851 for all the individual tests. The satisfactory results demonstrate that the flood model implemented with the flux coupling approach is able to accurately simulate the flow through hydraulic structures, with enhanced predictive capability for urban flood modeling.

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“…A new theory of hysteresis in open-channel flows is proposed in this paper, which includes the previous one and extends it to the case in which a downstream subcritical flow affects the flow through the obstacle. Besides the practical interest (e.g., in the design of energy dissipators and stilling basins), the importance of identifying the conditions so that this dual behavior can establish, also stems from the possibility of using the results of the present work to check the ability of numerical models in correctly predicting the flow in the presence of an obstacle (e.g., Catella and Bechi 2006;Jaafar and Merkley 2010;Viero et al 2013a;Cozzolino et al 2015).…”

Section: Introductionmentioning

confidence: 99%

Extended Theory of Hydraulic Hysteresis in Open-Channel Flow

Viero

Defina

2017

J. Hydraul. Eng.

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The occurrence of hysteresis in a supercritical, open-channel flow approaching an obstacle has been recognized and investigated both experimentally and theoretically over the last few decades. However, the available theory and experimental investigations in the literature do not include the case when subcritical flow, controlled from downstream, can establish across the obstacle. The present work fills this gap by proposing a new theory that includes this occurrence and shows that two different steady flow states can establish for the same obstacle geometry and flow conditions-one with supercritical to subcritical transition far downstream from the obstacle, and the other with supercritical to subcritical transition far upstream from the obstacle. The proposed, more general theory includes the existing theory as a special case. Finally, two specific examples are illustrated and discussed, i.e., the case of flow over a raised bed hump, and the case of flow through a channel contraction.

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The analytic solution of the Shallow-Water Equations with partially open sluice-gates: The dam-break problem

Cited by 43 publications

References 37 publications

Modelling the Impact of Leaky Barriers with a 1D Godunov-Type Scheme for the Shallow Water Equations

Modelling the Impact of Leaky Barriers with a 1D Godunov-Type Scheme for the Shallow Water Equations

Simulation of Hydraulic Structures in 2D High-Resolution Urban Flood Modeling

Extended Theory of Hydraulic Hysteresis in Open-Channel Flow

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