Two-Dimensional Total Sediment Load Model Equations

Greimann, Blair P.; Lai, Yong G.; Huang, Jianchun

doi:10.1061/(asce)0733-9429(2008)134:8(1142)

Cited by 64 publications

(48 citation statements)

References 21 publications

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“…where t = time; g = gravity acceleration; h = flow depth; z b = bed elevation; = h + z b water surface; u, v = average flow velocity in the x and y directions, respectively; p= sediment porosity; C= volumetric concentration in flow depth; s , w = density of sediment and water respectively; = s -w ; = density of sediment-flow mixture; S fx , S fy = Manning's n based frictional slopes velocity in the x and y directions, respectively; = u/u s = flow-to-sediment velocity ratio determined by the equation proposed by (Greimann et al, 2008); S A , S B are the additional terms related to the velocity ratio .…”

Section: Hydrodynamic Modelmentioning

confidence: 99%

Multiple effects of sediment transport and geomorphic processes within flood events: Modelling and understanding

Guan

Wright

Sleigh

2015

International Journal of Sediment Research

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Flood events can induce considerable sediment transport which in turn influences flow dynamics. This study investigates the multiple effects of sediment transport in floods through modelling a series of hydraulic scenarios, including small-scale experimental cases and a full-scale glacial outburst flood. A non-uniform, layer-based morphodynamic model is presented which is composed of a combination of three modules: a hydrodynamic model governed by the two-dimensional shallow water equations involving sediment effects; a sediment transport model controlling the mass conservation of sediment; and a bed deformation model for updating the bed elevation. The model is solved by a second-order Godunov-type numerical scheme. Through the modelling of the selected sediment-laden flow events, the interactions of flow and sediment transport and geomorphic processes within flood events are elucidated. It is found that the inclusion of sediment transport increases peak flow discharge, water level and water depth in dam-break flows over a flat bed. For a partial dam breach, sediment material has a blockage effect on the flood dynamics. In comparison with the 'sudden collapse' of a dam, a gradual dam breach significantly delays the arrival time of peak flow, and the flow hydrograph is changed similarly. Considerable bed erosion and deposition occur within the rapid outburst flood, which scours the river channel severely. It is noted that the flood propagation is accelerated after the incorporation of sediment transport, and the water level in most areas of the channel is reduced.

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Section: Hydrodynamic Modelmentioning

confidence: 99%

Multiple effects of sediment transport and geomorphic processes within flood events: Modelling and understanding

Guan

Wright

Sleigh

2015

International Journal of Sediment Research

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“…The flow-to-sediment velocity ratio has been widely studied and formulated by previous research (Greimann, et al, 2008. In this paper, Eq.…”

Section: Stm1: Bedload Dominant Sheet Flow Modelmentioning

confidence: 99%

“…In recent decades, Increasing efforts have been taken to numerical modelling of rapid sediment-laden flows and resulting morphological change (Carrivick, et al, 2010, Greimann, et al, 2008, Guan, et al, 2014, Li and Duffy, 2011, Wu, 2004. In general, sediment transport is catalogued into: suspended load and bedload.…”

Section: Introductionmentioning

confidence: 99%

“…Yet, the development of two-phase morphodynamic model are still in the infancy; and the solution time of practical sediment problems for the two-phase flow model is quite expensive even in the not-so-near future (Spasojevic and Holly, 2008). (4) The non-capacity model (Cao, et al, 2007, Capart and Young, 1998, Greimann, et al, 2008, Guan, et al, 2014, Simpson and Castelltort, 2006, Wu, et al, 2012, Wu and Wang, 2008 which is more appropriate and increasingly adopted. Yet, much room is still left to improve these models because of the limited understanding of the complex flow-sediment interactions.…”

Section: Introductionmentioning

confidence: 99%

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Multimode Morphodynamic Model for Sediment-Laden Flows and Geomorphic Impacts

2015

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“…In this paper, the Eqn. by (Greimann et al 2008) is used to estimate the 127 approximate velocity ratio. In terms of high bed shear stress with ≥20 cr , the flow-to-sediment velocity ratio =1 is …”

mentioning

confidence: 99%

2D Process-Based Morphodynamic Model for Flooding by Noncohesive Dyke Breach

2014

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Inundation models based on the Shallow Water Equations (SWE) have been shown to perform well for a 3 wide variety of situations even at the limit of their theoretical applicability and, arguably, somewhat beyond. One of 4 these situations is the catastrophic event of floods induced by dyke breach and consequent dyke erosion. The dyke 5 collapse is often not sudden -as assumed by many flood simulations in which the dyke boundary is treated as a "dam-6 break". The dyke erosion is a gradual and complex process that delays the onset of the flood, affecting the hydrograph 7 of the flow. To simulate correct temporal passage of a flood, it is important to understand the rate at which these dykes 8 collapse. In this paper an overtopping flood event combined with dyke erosion is simulated. The model is built upon the 9 2D Shallow Water Equations together with sediment-flow interactions and incorporates a sediment transport equation. 10The model is solved using a second-order Godunov-type finite volume method that is accurate and robust. For breach 11 formation, the lateral erosion collapse due to slope instabilities has a significant impact and must be considered, in this 12 paper a simple mathematical approach in two dimensions is proposed to evaluate the stability of lateral bed slope.

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Two-Dimensional Total Sediment Load Model Equations

Cited by 64 publications

References 21 publications

Multiple effects of sediment transport and geomorphic processes within flood events: Modelling and understanding

Multiple effects of sediment transport and geomorphic processes within flood events: Modelling and understanding

Multimode Morphodynamic Model for Sediment-Laden Flows and Geomorphic Impacts

2D Process-Based Morphodynamic Model for Flooding by Noncohesive Dyke Breach

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