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Title: A depth-averaged non-cohesive sediment transport model with improved discretization of flux and source terms

Abstract

Here, this paper presents novel flux and source term treatments within a Godunov-type finite volume framework for predicting the depth-averaged shallow water flow and sediment transport with enhanced the accuracy and stability. The suspended load ratio is introduced to differentiate between the advection of the suspended load and the advection of water. A modified Harten, Lax and van Leer Riemann solver with the contact wave restored (HLLC) is derived for the flux calculation based on the new wave pattern involving the suspended load ratio. The source term calculation is enhanced by means of a novel splitting-point implicit discretization. The slope effect is introduced by modifying the critical shear stress, with two treatments being discussed. The numerical scheme is tested in five examples that comprise both fixed and movable beds. The model predictions show good agreement with measurement, except for cases where local three-dimensional effects dominate.

Authors:
 [1];  [2];  [3];  [4];  [1]
  1. Technische Univ. Berlin (Germany)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Energy Geosciences Division
  3. Univ. of Cambridge, Cambridge (United Kingdom)
  4. Technische Univ. Berlin (Germany); Xi’an Univ. of Technology, Xi’an (China)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); China Scholarship Council; Technische Univ. Berlin
OSTI Identifier:
1580381
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Journal of Hydrology
Additional Journal Information:
Journal Volume: 570; Journal Issue: C; Journal ID: ISSN 0022-1694
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES

Citation Formats

Zhao, Jiaheng, Özgen-Xian, Ilhan, Liang, Dongfang, Wang, Tian, and Hinkelmann, Reinhard. A depth-averaged non-cohesive sediment transport model with improved discretization of flux and source terms. United States: N. p., 2019. Web. doi:10.1016/j.jhydrol.2018.12.059.
Zhao, Jiaheng, Özgen-Xian, Ilhan, Liang, Dongfang, Wang, Tian, & Hinkelmann, Reinhard. A depth-averaged non-cohesive sediment transport model with improved discretization of flux and source terms. United States. https://doi.org/10.1016/j.jhydrol.2018.12.059
Zhao, Jiaheng, Özgen-Xian, Ilhan, Liang, Dongfang, Wang, Tian, and Hinkelmann, Reinhard. Mon . "A depth-averaged non-cohesive sediment transport model with improved discretization of flux and source terms". United States. https://doi.org/10.1016/j.jhydrol.2018.12.059. https://www.osti.gov/servlets/purl/1580381.
@article{osti_1580381,
title = {A depth-averaged non-cohesive sediment transport model with improved discretization of flux and source terms},
author = {Zhao, Jiaheng and Özgen-Xian, Ilhan and Liang, Dongfang and Wang, Tian and Hinkelmann, Reinhard},
abstractNote = {Here, this paper presents novel flux and source term treatments within a Godunov-type finite volume framework for predicting the depth-averaged shallow water flow and sediment transport with enhanced the accuracy and stability. The suspended load ratio is introduced to differentiate between the advection of the suspended load and the advection of water. A modified Harten, Lax and van Leer Riemann solver with the contact wave restored (HLLC) is derived for the flux calculation based on the new wave pattern involving the suspended load ratio. The source term calculation is enhanced by means of a novel splitting-point implicit discretization. The slope effect is introduced by modifying the critical shear stress, with two treatments being discussed. The numerical scheme is tested in five examples that comprise both fixed and movable beds. The model predictions show good agreement with measurement, except for cases where local three-dimensional effects dominate.},
doi = {10.1016/j.jhydrol.2018.12.059},
journal = {Journal of Hydrology},
number = C,
volume = 570,
place = {United States},
year = {2019},
month = {1}
}

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Cited by: 4 works
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Works referenced in this record:

Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems
journal, November 1995


Bed-Load Sediment Transport on Steep Longitudinal Slopes
journal, December 1997


Process parameterization and temporal scaling in surface runoff and erosion modelling
journal, May 2004

  • Kandel, D. D.; Western, A. W.; Grayson, R. B.
  • Hydrological Processes, Vol. 18, Issue 8
  • DOI: 10.1002/hyp.1421

Concepts of mathematical modeling of sediment yield
journal, June 1974


An Exner-based coupled model for two-dimensional transient flow over erodible bed
journal, November 2010


A New Coupled Model for Simulating Shallow Flow Driven Morphological Change
conference, January 2011

  • Liang, Q. H.; Li, Jiachun; Fu, Song
  • AIP Conference Proceedings
  • DOI: 10.1063/1.3651908

HLLC scheme with novel wave-speed estimators appropriate for two-dimensional shallow-water flow on erodible bed
journal, March 2010

  • Soares-Frazão, Sandra; Zech, Yves
  • International Journal for Numerical Methods in Fluids, Vol. 66, Issue 8
  • DOI: 10.1002/fld.2300

Weak solutions for partial differential equations with source terms: Application to the shallow water equations
journal, June 2010


A 2D weakly-coupled and efficient numerical model for transient shallow flow and movable bed
journal, September 2014


Computational Dam-Break Hydraulics over Erodible Sediment Bed
journal, July 2004


Coupled model of surface water flow, sediment transport and morphological evolution
journal, December 2006


A depth-averaged 2D shallow water model for breaking and non-breaking long waves affected by rigid vegetation
journal, November 2012


One-dimensional explicit finite-volume model for sediment transport
journal, January 2008


A Coupled Morphodynamic Model for Applications Involving Wetting and Drying
journal, June 2011


Two-dimensional scour simulations based on coupled model of shallow water equations and sediment transport on unstructured meshes
journal, October 2008


Depth-Averaged Two-Dimensional Model of Unsteady Flow and Sediment Transport due to Noncohesive Embankment Break/Breaching
journal, June 2012


2D Process-Based Morphodynamic Model for Flooding by Noncohesive Dyke Breach
journal, July 2014


Multimode Morphodynamic Model for Sediment-Laden Flows and Geomorphic Impacts
journal, June 2015


Two-Dimensional Total Sediment Load Model Equations
journal, August 2008


Modelling dam-break flows over mobile beds using a 2D coupled approach
journal, February 2010


Comparison of depth-averaged concentration and bed load flux sediment transport models of dam-break flow
journal, October 2017

  • Zhao, Jia-heng; Özgen, Ilhan; Liang, Dong-fang
  • Water Science and Engineering, Vol. 10, Issue 4
  • DOI: 10.1016/j.wse.2017.12.006

Restoration of the contact surface in the HLL-Riemann solver
journal, July 1994

  • Toro, E. F.; Spruce, M.; Speares, W.
  • Shock Waves, Vol. 4, Issue 1
  • DOI: 10.1007/BF01414629

A well-balanced positivity preserving “second-order” scheme for shallow water flows on unstructured meshes
journal, June 2005

  • Audusse, Emmanuel; Bristeau, Marie-Odile
  • Journal of Computational Physics, Vol. 206, Issue 1
  • DOI: 10.1016/j.jcp.2004.12.016

Upwind methods for hyperbolic conservation laws with source terms
journal, November 1994


Finite-volume method for the calculation of compressible chemically reacting flows
journal, September 1988

  • Bussing, Thomas R. A.; Murman, Earll M.
  • AIAA Journal, Vol. 26, Issue 9
  • DOI: 10.2514/3.10013

Sediment Transport Formula for Steep Channels
journal, March 1984


Sediment Transport, Part I: Bed Load Transport
journal, October 1984


One-Dimensional Modeling of Dam-Break Flow over Movable Beds
journal, January 2007


A one-dimensional model for the transport of a sediment mixture in non-equilibrium conditions
journal, May 1988


Analysis of Bed‐Load Motion at High Shear Stress
journal, January 1987


Adaptive quadtree simulation of shallow flows with wet–dry fronts over complex topography
journal, February 2009


Numerical resolution of well-balanced shallow water equations with complex source terms
journal, June 2009


A robust well-balanced model on unstructured grids for shallow water flows with wetting and drying over complex topography
journal, April 2013

  • Hou, Jingming; Simons, Franz; Mahgoub, Mohamed
  • Computer Methods in Applied Mechanics and Engineering, Vol. 257
  • DOI: 10.1016/j.cma.2013.01.015

Experimental and numerical assessment of the shallow water model for two-dimensional dam-break type problems
journal, November 1995


A robust well-balanced finite volume model for shallow water flows with wetting and drying over irregular terrain
journal, July 2011


A 2D well-balanced shallow flow model for unstructured grids with novel slope source term treatment
journal, February 2013


Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
journal, July 1979


Flood Simulation Using a Well-Balanced Shallow Flow Model
journal, September 2010


Monoslope and multislope MUSCL methods for unstructured meshes
journal, May 2010


MUSCL schemes for the shallow water sensitivity equations with passive scalar transport
journal, April 2012


Improved multislope MUSCL reconstruction on unstructured grids for shallow water equations
journal, March 2018

  • Zhao, J.; Özgen, I.; Liang, D.
  • International Journal for Numerical Methods in Fluids, Vol. 87, Issue 8
  • DOI: 10.1002/fld.4499

Experiments of dam-break wave over a triangular bottom sill
journal, December 2007


Riemann wave description of erosional dam-break flows
journal, June 2002


Numerical modelling of dam failure due to flow overtopping
journal, February 2001

  • Tingsanchali, Tawatchai; Chinnarasri, Chaiyuth
  • Hydrological Sciences Journal, Vol. 46, Issue 1
  • DOI: 10.1080/02626660109492804

Dam-break flow on mobile bed in abruptly widening channel: experimental data
journal, June 2011


Three-Dimensional Numerical Modeling of Dam-Break Flows with Sediment Transport over Movable Beds
journal, January 2015


Dam-break flows over mobile beds: experiments and benchmark tests for numerical models
journal, June 2012