A double layer-averaged model for dam-break flows over mobile bed

Li, Ji; Cao, Zhixian; Pender, Gareth; Liu, Qingquan

doi:10.1080/00221686.2013.812047

Cited by 58 publications

(40 citation statements)

References 37 publications

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“…The present work aims to keep the LHS of the equations the same as that of the traditional SWEs, while all the "extra" terms involved in the Reynolds stress and dispersion are put on the RHS for easier modelling. This idea is in principle quite similar to that implemented in the recent work on a double-layer averaged model (Li, Cao, Pender, & Liu, 2013). The numerical scheme for the homogeneous hyperbolic system is explicit and stability is controlled by the Courant number…”

Section: ∂D ∂Xmentioning

confidence: 61%

Modelling roll waves with shallow water equations and turbulent closure

Cao

et al. 2014

Journal of Hydraulic Research

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A physically enhanced model is proposed for roll waves based on the shallow water equations and k − ε turbulence closure along with a modification component. It is tested against measured data on periodic permanent roll waves, and the impact of turbulence is demonstrated to be essential. It is revealed that a regular inlet perturbation may lead to periodic permanent or natural roll waves, when its period is shorter or longer than a critical value inherent to a specified normal flow. While a larger amplitude or shorter period of a regular inlet perturbation is conducive to the formation of periodic permanent roll waves, their period remains the same as that of the perturbation, while their amplitude increases with the perturbation period and is independent of the perturbation amplitude. An irregular inlet perturbation favours the formation of natural roll waves, so does a larger amplitude of the perturbation.

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Section: ∂D ∂Xmentioning

confidence: 61%

Modelling roll waves with shallow water equations and turbulent closure

Cao

et al. 2014

Journal of Hydraulic Research

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“…The governing equations of the model are essentially 2D shallow water equations comprising the mass and momentum conservation equations, respectively, for the clear-water flow layer and the turbidity current layer, and also the mass conservation equations for sediment in the turbidity current layer and bed sediment, respectively. By analogy to a 1D case (Li et al 2013), these are…”

Section: Governing Equationsmentioning

confidence: 99%

“…Given the observations above, the two nonhomogeneous hyperbolic systems constituted by Eqs. (1) and (2) can be solved separately and synchronously (Li et al 2013) using one of a hierarchy of numerical algorithms that can capture shock waves and contact discontinuities properly. The numerical algorithm employed in the present double layer-averaged mobile model is an extension of that in the 2D model originally developed for single-layer clear-water flow over a fixed bed (Liang 2010).…”

Section: Numerical Algorithmmentioning

confidence: 99%

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Whole-Process Modeling of Reservoir Turbidity Currents by a Double Layer-Averaged Model

Cao

Pender

et al. 2015

J. Hydraul. Eng.

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Turbidity current is formed as subaerial open-channel sediment-laden flow plunges into a reservoir. The whole process of reservoir turbidity current, i.e., formation, propagation, and recession, is generally controlled by the water and sediment inputs from upstream and also the reservoir operation scheme specifying the downstream boundary condition. Enhanced understanding of reservoir turbidity current is critical to effective sediment management in alluvial rivers. However, until now there has been a lack of physically based and practically feasible models for resolving the whole process of reservoir turbidity current. This is because the computing cost of three-dimensional modeling is excessively high. Also, single layer-averaged models cannot resolve the formation process characterized by the transition from open-channel sediment-laden flow to subaqueous turbidity current, or the upper clear-water flow as dictated by the operation scheme of the reservoir, which has significant impacts on turbidity current. Here a new two-dimensional double layer-averaged model is proposed to facilitate for the first time whole-process modeling of reservoir turbidity current. The two hyperbolic systems of the governing equations for the two layers are solved separately and synchronously. The model is well balanced because the interlayer interactions are negligible compared with inertia and gravitation, featuring a reasonable balance between the flux gradients and the bed or interface slope source terms and thus applicable to irregular topographies. The model is benchmarked against a spectrum of experimental cases, including turbidity currents attributable to lock-exchange and sustained inflow. It is revealed that an appropriate clear-water outflow is favorable for turbidity current propagation and conducive to improving sediment flushing efficiency. This is significant for optimizing reservoir operation schemes. As applied to turbidity current in the Xiaolangdi Reservoir in the Yellow River, China, the model successfully resolves the whole process from formation to recession. The present work facilitates a viable and promising framework for whole-process modeling of turbidity currents, in support of reservoir sediment management.

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“…On the other hand, a considerable amount of research has recently concerned modeling of fast geomorphic processes, and more complex morphodynamic multi-layer (e.g. Capart and Young, 2002;Li et al, 2013;Savary and Zech, 2007;Swartenbroekx et al, 2010) or multi-phase (e.g. Evangelista et al, 2013a;Garegnani et al, 2011;Greco et al, 2012;Rosatti and Begnudelli, 2013) models have been proposed, which account for the mass and momentum conservation for both water and sediments (Evangelista et al, 2015c).…”

Section: Introductionmentioning

confidence: 99%

A multi-parameter calibration method for the numerical simulation of morphodynamic problems

Evangelista

Giovinco

Kocaman

2017

Journal of Hydrology and Hydromechanics

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Calibration of parameters of mathematical models is still a tough task in several engineering problems. Many of the models adopted for the numerical simulations of real phenomena, in fact, are of empirical derivation. Therefore, they include parameters which have to be calibrated in order to correctly reproduce the physical evidence. Thus, the success of a numerical model application depends on the quality of the performed calibration, which can be of great complexity, especially if the number of parameters is higher than one. Calibration is traditionally performed by engineers and researchers through manual trial-and-error procedures. However, since models themselves are increasingly sophisticated, it seems more proper to look at more advanced calibration procedures. In this work, in particular, an optimization technique for a multi-parameter calibration is applied to a two-phase depth-averaged model, already adopted in previous works to simulate morphodynamic processes, such as, for example, the dike erosion by overtopping.

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A double layer-averaged model for dam-break flows over mobile bed

Cited by 58 publications

References 37 publications

Modelling roll waves with shallow water equations and turbulent closure

Modelling roll waves with shallow water equations and turbulent closure

Whole-Process Modeling of Reservoir Turbidity Currents by a Double Layer-Averaged Model

A multi-parameter calibration method for the numerical simulation of morphodynamic problems

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