Applicability of WEPP Sediment Transport Equation to Steep Slopes

2008 ◽  
Vol 51 (5) ◽  
pp. 1675-1681 ◽  
Author(s):  
G. H. Zhang ◽  
B. Y. Liu ◽  
X. C. Zhang
Keyword(s):  
Sediment Transport ◽  
Transport Equation ◽  
Sediment Transport Equation ◽  
Steep Slopes

Sediment transport equation assessment for selected rivers in Malaysia

2005 ◽  
Vol 3 (3) ◽  
pp. 203-208 ◽  
Author(s):  
Chang Chun Kiat ◽  
Aminuddin Ab. Ghani ◽  
Nor Azazi Zakaria ◽  
Zorkeflee Abu Hasan ◽  
Rozi Abdullah
Keyword(s):  
Sediment Transport ◽  
Transport Equation ◽  
Sediment Transport Equation

scholarly journals Robustness Analysis of Model Parameters for Sediment Transport Equation Development

2019 ◽  
Vol 12 ◽  
pp. 1-17
Author(s):  
Nadiatul Adilah Ahmad Abdul Ghani ◽  
Junaidah Ariffin ◽  
Duratul Ain Tholibon
Keyword(s):  
Sediment Transport ◽  
Transport Equation ◽  
Polynomial Regression ◽  
Robustness Analysis ◽  
Shear Velocity ◽  
Model Parameters ◽  
Evolutionary Polynomial Regression ◽  
Sediment Transport Equation ◽  
Sediment Data ◽  
Influential Parameters

Robustness analysis of model parameters for sediment transport equation development is carried out using 256 hydraulics and sediment data from twelve Malaysian rivers. The model parameters used in the analyses include parameters in equations by Ackers-White, Brownlie, Engelund-Hansen, Graf, Molinas-Wu, Karim-Kennedy, Yang, Ariffin and Sinnakaudan. Seven parameters in five parameter classes were initially tested. Robustness of the model parameters was measured on the statistical relations through Evolutionary Polynomial Regression (EPR) technique and further examined using the discrepancy ratio of the predicted versus the measured values. Results from analyses suggest  (ratio of shear velocity to flow velocity) and  (ratio of hydraulic radius to mean sediment diameter) to be the most significant and influential parameters for the development of sediment transport equation.

scholarly journals A simple non-equilibrium bedload transport equation for the formation of dune in a shallowwater flow over an erodible bed

2018 ◽  
Vol 40 ◽  
pp. 05021
Author(s):  
Pablo Cañada-Pereira ◽  
Patricio Bohorquez
Keyword(s):  
Sediment Transport ◽  
Transport Equation ◽  
Neutral Curve ◽  
Bedload Transport ◽  
Entrainment Rate ◽  
Flow Equations ◽  
Averaged Equations ◽  
Saint Venant Equations ◽  
Sediment Transport Equation ◽  
Non Equilibrium

In this work, we consider the long-standing problem of capturing dune formation in an erodible-bed channel at subcritical speed by using a reduced order model of depth-averaged equations. The pioneering study by Reynolds [1] showed that the standard Saint-Venant-Exner equations are unconditionally stable at subcritical Froude number. Hence, the use of depthaveraged flow equations, which are commonly used by the hydraulic community, prevents the formation of bedforms as dunes. Recently, Cañada-Pereira & Bohorquez [2] have proposed a simple sediment transport formulation able to capture the formation of dune when coupled with the Saint-Venant equations. We replace the standard Exner equation with a non-equilibrium sediment transport equation that includes the following necessary ingredients: first, a phase shift in the particle entrainment rate; second, a particle diffusivity and an eddy viscosity. Subsequently, we solve the linear stability problem of an erodiblebed channel and show that the neutral curve properly captures the bed instability both in subcritical regime (i.e. dune) and supercritical flow (i.e. antidune and roll wave). Finally, we corroborate the capabilities of the model by means of non-linear numerical simulations which reproduce the growth of dune and antidune in agreement with experiments.

scholarly journals Modèle numérique de clapage

2007 ◽  
pp. 965-988
Author(s):  
Isabelle Farout-Fréson ◽  
Emmanuel Lefrançois ◽  
Gouri Dhatt ◽  
Philippe Sergent
Keyword(s):  
Sediment Transport ◽  
Incompressible Fluid ◽  
Transport Equation ◽  
Settling Velocity ◽  
Dredged Material ◽  
Dredged Materials ◽  
Proposed Model ◽  
Sediment Transport Equation ◽  
Good Agreement

We are interested here in the mixture composed of incompressible fluid and a certain mass of fluidised solid. The proposed model is based on the averaged form of the hydrodynamic biphasic equations, associated with a sediment transport equation with a specific numerical settling velocity sf w adapted for the dumped dredged material case. Both models (hydrodynamics and transport) are coupled considering the variation of density with a forward scheme. Calibrated on the convective descent on three experimental campaigns in canal of dumping of dredged materials, the model gives a very good agreement of convective descent with almost twenty experiments for materials 100% sand, 100% silt or mixture sand/silt without or with a horizontally ambient current (Villaret et al., 1997; Boutin 1999).

Finite volume scheme for numerical simulation of the sediment transport model

2019 ◽  
Vol 33 (24) ◽  
pp. 1950283
Author(s):  
Kamel Mohamed ◽  
Aly Seadawy
Keyword(s):  
Sediment Transport ◽  
Transport Equation ◽  
Finite Volume ◽  
Transport Model ◽  
Two Dimensions ◽  
Special Treatment ◽  
Finite Volume Scheme ◽  
Volume Scheme ◽  
Sediment Transport Model ◽  
Sediment Transport Equation

In this paper, we propose and apply a modified Rusanov scheme for numerical solution of the sediment transport model in one and two dimensions. This model consists of two parts, the first part is modeled by shallow water equations and the second part is described by the bed-load transport equation. The scheme consists of a predictor stage scheme including a local parameter of control. It is responsible for the numerical diffusion. To control this parameter, we use a strategy depending on limiter theory. In the corrector stage, we used special treatment of the bed to get a well-balanced discretization between the flux gradient and source term. Some numerical results are presented for the sediment transport equation in two forms called A-formulation and C-formulation. These results show that the finite volume scheme is accurate and robust for solving the sediment transport equation in one and two dimensions.

Solving the erosion transport equation on three dimensional catchments

2020 ◽  
Author(s):  
Michal Kuraz ◽  
Petr Mayer
Keyword(s):  
Wave Equation ◽  
Sediment Transport ◽  
Transport Equation ◽  
Three Dimensional ◽  
Least Square Method ◽  
Least Square ◽  
Kinematic Wave ◽  
Diffusion Term ◽  
Kinematic Wave Equation ◽  
Sediment Transport Equation

<p>Modeling the kinematic wave equation and sediment transport equation enables a deterministic approach for predicting surface runoff and resulting sediment transport. Both the kinematic wave equation and the sediment transport equation are first order differential equations. Moreover the kinematic wave equation is a quasilinear problem. In many engineering applications this set of equations is solved on one-dimensional representative cross-sections. However, a proper selection of representative cross-section(s) is  cumbersome. On the other hand integrating this set of equations on real catchment topography  yields difficulties for standard variational methods such as continous Galerkin method. These difficulties are two-fold (1) the nonlinearity of the kinematic wave, and (2) the absence of diffusion term, which acts as a stabilization term for convection-diffusion equation. In a theory, the Peclet number of numerical stability reaches infinity. </p><p>In this contribution we will focus on a stable numerical approximation of this convection-only problem using least square method. With this method we are able to reliably solve both the kinematic wave equation and the sediment transport equation on computational  domains representing real catchment topography. Several examples representing real-world scenarios will be given.</p>

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