Two-dimensional scour simulations based on coupled model of shallow water equations and sediment transport on unstructured meshes

Liu, X.; Landry, Blake J.; García, Marcelo H.

doi:10.1016/j.coastaleng.2008.02.012

Cited by 51 publications

(31 citation statements)

References 36 publications

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“…The reflected bore smoothly propagated upstream without exhibiting any oscillatory behavior at t = 15 s after the dam-break, as shown in Figure 6b. Model prediction for the water depth in the channel was further compared with the experimental observations in [36] and the published numerical results of [37] in Figure 7, at t = 3, 5, 7, and 14 s. It is evident that our scheme achieves a very satisfactory agreement with the experimental observations, demonstrating that it could satisfactorily model two-dimensional supercritical flows involving bends and sudden directional changes. demonstrating that it could satisfactorily model two-dimensional supercritical flows involving bends and sudden directional changes.…”

Section: Dam-break Flow In An L-shaped Channelmentioning

confidence: 78%

Section: Slope Term Treatment and Preservation Of C-propertymentioning

confidence: 99%

“…Differences in the slope source and convective flux given by Equation (34) are introduced in Equation (35): (37) which is the primary requirement of a motionless steady flow. Equation (37) shows that the proposed source term treatment preserves the quiescent equilibrium perfectly. Equation (36) may seem similar to Equation (30) in [26], but is based on a different mathematical formulation and slope source flux computation through the interface.…”

Section: Slope Term Treatment and Preservation Of C-propertymentioning

confidence: 99%

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Novel Slope Source Term Treatment for Preservation of Quiescent Steady States in Shallow Water Flows

Rehman

Cho

2016

Water

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This paper proposes a robust method for modeling shallow-water flows and near shore tsunami propagation, applicable for both simple and complex geometries with uneven beds. The novel aspect of the model includes the introduction of a new method for slope source terms treatment to preserve quiescent equilibrium over uneven topographies, applicable to both structured and unstructured mesh systems with equal accuracy. Our model is based on the Godunov-type finite volume numerical approximation. Second-order spatial and temporal accuracy is achieved through high resolution gradient reconstruction and the predictor-corrector method, respectively. The approximate Riemann solver of Harten, Lax, and van Leer with contact wave restoration (HLLC) is used to compute fluxes. Comparisons of the model's results with analytical, experimental, and published numerical solutions show that the proposed method is capable of accurately predicting experimental and real-time tsunami propagation/inundation, and dam-break flows over varying topographies.

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Section: Dam-break Flow In An L-shaped Channelmentioning

confidence: 78%

Section: Slope Term Treatment and Preservation Of C-propertymentioning

confidence: 99%

Section: Slope Term Treatment and Preservation Of C-propertymentioning

confidence: 99%

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Novel Slope Source Term Treatment for Preservation of Quiescent Steady States in Shallow Water Flows

Rehman

Cho

2016

Water

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“…Given that the Roe-averaged states are not uniquely defined [31], different approached are adopted for estimating Roe-averaged states. Most of the numerical models for sediment transport studies [6,13,14,22,23] follow Glaister's approach [32] for computing Roe averages for a coupled shallow-water Exner equations system. However, Hu et al [33] argued that artificially introduced intermediate states, like that of Glaister's, may not be admissible for some cases.…”

Section: Introductionmentioning

confidence: 99%

“…Two approaches are usually employed for the computation of interface fluxes in coupled models, the Roe approximate Riemann solver [5,10,[22][23][24][25][26][27], and the Harten-Lax-van Leer-Contact (HLLC) approximate Riemann solver [7,14]. A predictor-corrector step is adopted for evolving the solution to get second-order temporal accuracy.…”

Section: Introductionmentioning

confidence: 99%

Bed Evolution under Rapidly Varying Flows by a New Method for Wave Speed Estimation

Rehman

Cho

2016

Water

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This paper proposes a sediment-transport model based on coupled Saint-Venant and Exner equations. A finite volume method of Godunov type with predictor-corrector steps is used to solve a set of coupled equations. An efficient combination of approximate Riemann solvers is proposed to compute fluxes associated with sediment-laden flow. In addition, a new method is proposed for computing the water depth and velocity values along the shear wave. This method ensures smooth solutions, even for flows with high discontinuities, and on domains with highly distorted grids. The numerical model is tested for channel aggradation on a sloping bottom, dam-break cases at flume-scale and reach-scale with flat bottom configurations and varying downstream water depths. The proposed model is tested for predicting the position of hydraulic jump, wave front propagation, and for predicting magnitude of bed erosion. The comparison between results based on the proposed scheme and analytical, experimental, and published numerical results shows good agreement. Sensitivity analysis shows that the model is computationally efficient and virtually independent of mesh refinement.

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Sediment mobility and bed armoring in the St Clair River: insights from hydrodynamic modeling

Liu

Parker

Czuba

et al. 2012

Earth Surf Processes Landf

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The lake levels in Lake Michigan‐Huron have recently fallen to near historical lows, as has the elevation difference between Lake Michigan‐Huron compared to Lake Erie. This decline in lake levels has the potential to cause detrimental impacts on the lake ecosystems, together with social and economic impacts on communities in the entire Great Lakes region. Results from past work suggest that morphological changes in the St Clair River, which is the only natural outlet for Lake Michigan‐Huron, could be an appreciable factor in the recent trends of lake level decline. A key research question is whether bed erosion within the river has caused an increase in water conveyance, therefore, contributed to the falling lake level. In this paper, a numerical modeling approach with field data is used to investigate the possibility of sediment movement in the St Clair River and assess the likelihood of morphological change under the current flow regime. A two‐dimensional numerical model was used to study flow structure, bed shear stress, and sediment mobility/armoring over a range of flow discharges. Boundary conditions for the numerical model were provided by detailed field measurements that included high‐resolution bathymetry and three‐dimensional flow velocities. The results indicate that, without considering other effects, under the current range of flow conditions, the shear stresses produced by the river flow are too low to transport most of the coarse bed sediment within the reach and are too low to cause substantial bed erosion or bed scour. However, the detailed maps of the bed show mobile bedforms in the upper St Clair River that are indicative of sediment transport. Relatively high shear stresses near a constriction at the upstream end of the river and at channel bends could cause local scour and deposition. Ship‐induced propeller wake erosion also is a likely cause of sediment movement in the entire reach. Other factors that may promote sediment movement, such as ice cover and dredging in the lower river, require further investigation. Copyright © 2012 John Wiley & Sons, Ltd.

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Two-dimensional scour simulations based on coupled model of shallow water equations and sediment transport on unstructured meshes

Cited by 51 publications

References 36 publications

Novel Slope Source Term Treatment for Preservation of Quiescent Steady States in Shallow Water Flows

Novel Slope Source Term Treatment for Preservation of Quiescent Steady States in Shallow Water Flows

Bed Evolution under Rapidly Varying Flows by a New Method for Wave Speed Estimation

Sediment mobility and bed armoring in the St Clair River: insights from hydrodynamic modeling

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