A semi-analytical model for form drag of river bedforms

Mark, C.F. van der

doi:10.3990/1.9789036528665

Cited by 11 publications

(33 citation statements)

References 65 publications

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“…We analysed ten roughness models that were found in the literature to predict bed form roughness based on bed form and flow characteristics. These roughness models can be analytical, semi‐analytical or empirical (Van der Mark, ). The analytical models (Yalin, ; Engelund, ) are based directly on the mass and momentum conservation laws.…”

Section: Bed Form Roughness Models In Literaturementioning

confidence: 99%

“…The Engelund (, ) model is calibrated on alluvial flume data and is, therefore, (partly) corrected for the aforementioned effects, as far as they are present in the calibration data. The Van der Mark () model is based on the Yalin model (see also Van der Mark et al ., ) but has additional parameters to account for gradual flow expansion, effects of nearby bed forms, spatial variability in bed form distribution and the fact that the brink point height differs from the average bed form height. The roughness model of Haque and Mahmood () is based on numerical simulations in which bed pressure is integrated along a bed form.…”

Section: Bed Form Roughness Models In Literaturementioning

confidence: 99%

“…However, Noordam et al . () and Van der Mark () considered only laboratory and alluvial flume data. Under field conditions, the uncertainty in the hydraulic roughness models is larger, due to the large variation in natural rivers (Carling et al ., ).…”

Section: Introductionmentioning

confidence: 99%

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Quantification of uncertainty in design water levels due to uncertain bed form roughness in the Dutch river Waal

Warmink

Booij

Klis

et al. 2012

Hydrological Processes

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Hydrodynamic river models are applied to design and evaluate measures for purposes such as safety against flooding. The modelling of river processes involves numerous uncertainties, resulting in uncertain model results. Knowledge of the type and magnitude of these uncertainties is crucial for a meaningful interpretation of the model results. Uncertainty in the hydraulic roughness due to bed forms is one of the main contributors to the uncertainty in the modelled water levels. The aim of this study was to quantify the uncertainty in the bed form roughness under design conditions and quantify the effect on the design water levels in the Dutch river Waal. Five roughness models that predict bed form roughness based on measured bed form and flow characteristics were extrapolated to design conditions. The results show that the 95% confidence interval of the predicted Nikuradse roughness values under design conditions ranges from 0.32 to 1.03 m. This uncertainty was propagated through the two‐dimensional hydrodynamic model, WAQUA, by means of a Monte Carlo simulation for an idealized schematization of the Dutch river Waal. The uncertain bed form roughness results in an uncertainty in the design water levels, with a 95% confidence interval of 0.53 m, which is significant for Dutch river management practice. The uncertainty in the bed form roughness was mainly caused by a lack of knowledge about the physical process of bed form evolution that causes roughness. An improved estimation of bed form roughness can significantly reduce the uncertainty in the design water levels. Copyright © 2012 John Wiley & Sons, Ltd.

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Section: Bed Form Roughness Models In Literaturementioning

confidence: 99%

Section: Bed Form Roughness Models In Literaturementioning

confidence: 99%

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Quantification of uncertainty in design water levels due to uncertain bed form roughness in the Dutch river Waal

Warmink

Booij

Klis

et al. 2012

Hydrological Processes

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“…Hydraulic roughness due to the presence of dunes is directly related to the dune height ∆ and the dune length λ [Yalin, 1964;Van Rijn, 1984;Karim, 1999;Van der Mark, 2009]. Therefore, during time-varying flow, reliable predictions of bed-form regimes (e.g.…”

Section: Introductionmentioning

confidence: 99%

“…This morphological evolution of dunes to upper stage plane bed (D-USPB) is the strongest bedform adjustment during time-varying flows and is associated with a significant change in hydraulic roughness and water levels [Nelson et al, 2011]. In addition to flow and sediment parameters, hydraulic roughness due to the presence of bed forms is directly related to bedform height Δ and length λ [Yalin, 1964;Van Rijn, 1984b;Karim, 1999;Van der Mark, 2009]. Therefore, during time-varying flow, reliable predictions of bedform regimes (e.g., dune regime, dune transitional regime, and USPB) and bedform dimensions are of great importance in determining hydraulic roughness and water levels for flood management purposes [Best, 2005a].…”

Section: Introductionmentioning

confidence: 99%

Morphodynamics of river dunes : suspended sediment transport along mobile dunes and dune development towards upper stage plane bed

Naqshband¹

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Modeling river dune development and dune transition to upper stage plane bed

Naqshband

Duin

Ribberink

et al. 2015

Earth Surf Processes Landf

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Large asymmetric bedforms known as dunes commonly dominate the bed of sand rivers. Due to the turbulence generation over their stoss and lee sides, dunes are of central importance in predicting hydraulic roughness and water levels. During floods in steep alluvial rivers, dunes are observed to grow rapidly as flow strength increases, undergoing an unstable transition regime, after which they are washed out in what is called upper stage plane bed. This transition of dunes to upper stage plane bed is associated with high transport of bed sediment in suspension and large decrease in bedform roughness. In the present study, we aim to improve the prediction of dune development and dune transition to upper stage plane bed by introducing the transport of suspended sediment in an existing dune evolution model. In addition, flume experiments are carried out to investigate dune development under bed load and suspended load dominated transport regimes, and to get insight in the time scales related to the transition of dunes to upper stage plane bed. Simulations with the extended model including the transport of suspended sediment show significant improvement in the prediction of equilibrium dune parameters (e.g. dune height, dune length, dune steepness, dune migration rate, dune lee side slope) both under bed load dominant and suspended load dominant transport regimes. The chosen modeling approach also allows us to model the transition of dunes to upper stage plane bed which was not possible with the original dune evolution model. The extended model predicts change in the dune shapes as was observed in the flume experiments with decreasing dune heights and dune lee slopes. Furthermore, the time scale of dune transition to upper stage plane bed was quite well predicted by the extended model. Copyright © 2015 John Wiley & Sons, Ltd.

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A semi-analytical model for form drag of river bedforms

Cited by 11 publications

References 65 publications

Quantification of uncertainty in design water levels due to uncertain bed form roughness in the Dutch river Waal

Quantification of uncertainty in design water levels due to uncertain bed form roughness in the Dutch river Waal

Morphodynamics of river dunes : suspended sediment transport along mobile dunes and dune development towards upper stage plane bed

Modeling river dune development and dune transition to upper stage plane bed

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