One-dimensional explicit finite-volume model for sediment transport

A 1D finite-volume model has been established to simulate the nonequilibrium transport of nonuniform sediment with transient flows, such as dam-break flow and overtopping flow, over movable beds. The effects of sediment transport and bed change on the flow are considered in the flow continuity and momentum equations. An explicit algorithm is adopted to solve the governing equations. The model has been tested preliminarily in several experimental cases, including an experiment on wedge development due to sediment overloading under transcritical flow conditions, an experiment on dam surface erosion due to overtopping flow, and two experiments on dam-break flow over movable beds. The model performs quite well in the cases of wedge development and overtopping flow, but significantly under-predicts the bed erosion due to dam-break flow. A modification has thus been made by considering the effects of sediment concentration on sediment settling and entrainment in the case of dam-break flow over movable beds. The present model has been compared with the traditional movable-bed “clear-water” model that ignores the effects of sediment on the flow. It has been found that the present model provides more reasonable predictions, and the “clear-water” model has larger errors when sediment transport is stronger and may even fail in the case of dam-break flow.

[1]  Jan S. Ribberink,et al.  Multi-fraction techniques for sediment transport and morphological modelling in sand-gravel rivers , 2002 .

[2]  Subhash C. Jain,et al.  Open-Channel Flow , 2000 .

[3]  P. Lax,et al.  On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws , 1983 .

[4]  Pilar García-Navarro,et al.  1‐D Open‐Channel Flow Simulation Using TVD‐McCormack Scheme , 1992 .

[5]  E. Toro Shock-Capturing Methods for Free-Surface Shallow Flows , 2001 .

[6]  Chris Paola,et al.  Laboratory Experiments on Downstream Fining of Gravel , 1992 .

[7]  Weiming Wu,et al.  One-dimensional numerical model for nonuniform sediment transport under unsteady flows in channel networks , 2004 .

[8]  Weiming Wu,et al.  Depth-Averaged Two-Dimensional Numerical Modeling of Unsteady Flow and Nonuniform Sediment Transport in Open Channels , 2004 .

[9]  E. Toro,et al.  Restoration of the contact surface in the HLL-Riemann solver , 1994 .

[10]  Gareth Pender,et al.  Computational Dam-Break Hydraulics over Erodible Sediment Bed , 2004 .

[11]  Hervé Capart,et al.  Riemann wave description of erosional dam-break flows , 2002, Journal of Fluid Mechanics.

[12]  Weiming Wu,et al.  One-Dimensional Modeling of Dam-Break Flow over Movable Beds , 2007 .

[13]  C. Paola,et al.  Numerical simulation of aggradation and downstream fining , 1996 .

[14]  M. Hanif Chaudhry,et al.  Explicit Methods for 2‐D Transient Free Surface Flows , 1990 .

[15]  Chaiyuth,et al.  FLOW PATTERNS AND DAMAGE OF DIKE OVERTOPPING , 2003 .

[16]  Sam S. Y. Wang,et al.  Upwind Conservative Scheme for the Saint Venant Equations , 2004 .

[17]  P. Roe Approximate Riemann Solvers, Parameter Vectors, and Difference Schemes , 1997 .

[18]  E. Toro Riemann Solvers and Numerical Methods for Fluid Dynamics , 1997 .

[19]  Zhixian Cao,et al.  EQUILIBRIUM NEAR-BED CONCENTRATION OF SUSPENDED SEDIMENT , 1999 .

[20]  M. Hanif Chaudhry,et al.  Depth-averaged open-channel flow model , 1995 .

[21]  I. Bohachevsky,et al.  Finite difference method for numerical computation of discontinuous solutions of the equations of fluid dynamics , 1959 .

[22]  C. P. Skeels,et al.  TVD SCHEMES FOR OPEN CHANNEL FLOW , 1998 .

[23]  J. S. Wang,et al.  FINITE-DIFFERENCE TVD SCHEME FOR COMPUTATION OF DAM-BREAK PROBLEMS , 2000 .

[24]  J. F. Richardson,et al.  Sedimentation and fluidisation: Part I , 1997 .

[25]  L. Rijn Sediment Transport, Part II: Suspended Load Transport , 1984 .

[26]  Yafei Jia,et al.  Nonuniform sediment transport in alluvial rivers , 2000 .

[27]  Jianjun Zhou,et al.  One-Dimensional Mathematical Model for Suspended Sediment by Lateral Integration , 1998 .

[28]  Vedrana Kutija,et al.  Modelling of supercritical flow conditions revisited; NewC Scheme , 2002 .

[30]  S. Osher,et al.  Upwind difference schemes for hyperbolic systems of conservation laws , 1982 .

[31]  Hervé Capart,et al.  Formation of a jump by the dam-break wave over a granular bed , 1998, Journal of Fluid Mechanics.

[32]  Aronne Armanini,et al.  A one-dimensional model for the transport of a sediment mixture in non-equilibrium conditions , 1988 .