Skip to main content
Log in

Simulation of Sediment-Laden Flow by Depth-Averaged Model Based on Unstructured Collocated Grid

  • Published:
Journal of Hydrodynamics Aims and scope Submit manuscript

Abstract

The 2-D depth-averaged mathematical model for sediment-laden flows has been widely used in river control and other related engineering problems, and now it is usually solved on structured grids. Since the natural river is usually very complicated in plane boundary, and unstructured grids are more attractive in solving the problems with complicated domains, the following questions about solving 2-D depth-averaged model were discussed in this article: (1) a modified Bowyer algorithm was suggested to generate unstructured grids for natural rivers, (2) the Finite Volume Method (FVM) is employed to discretize the governing equations of the 2-D depth-averaged model and an implicit scheme was suggested with unstructured collocated grids, (3) the observed hydrological data of the Chenglingji Reach in the Yangtze River are used for verification of the presented method. It seems that the suggested numerical scheme works very well, and the simulation results of both hydraulic characteristics and river bed deformation are in good agreement with the observed ones.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. XIE Zuo-Tao, ZHANG Xiao-feng TAN Guang-ming et al. Numerical simulation of 2D horizontal cooling water discharge in generalized curvilinear coordinate[J]. Journal of Hydrodynamics, Ser. B, 2006, 18(1): 91–96.

    MATH  Google Scholar 

  2. PAN Cun-hong, DAI Shi-qiang, CHEN Sen-mei. Numerical simulation for 2D shallow water equations by using Godunov-type scheme with unstructured mesh [J]. Journal of Hydrodynamics, Ser.B, 2006, 18(4): 475–480.

    Article  Google Scholar 

  3. ANSTASIOU K., CHAN C.T. Solution of the 2D shallow water equations using the finite volume method on unstructured triangular meshes[J]. Int. J. Numer. Method, 1997, 24(11): 1225–1245.

    Article  Google Scholar 

  4. CHAN C. T., ANSTASIOU K. Solution of incompressible flows with or without a free surface using the finite volume method on unstructured triangular meshes[J]. Int. J. Numer. Method, 1999, 29(1): 35–67.

    Article  Google Scholar 

  5. ZHAO D. H., SHEN H.W., TABIOUSN A G.Q. et al. Finite-volume two-dimensional unsteady-flow model for river basins[J]. Journal of Hydraulic Engineering ASCE, 1994, 120(7): 864–883.

    Article  Google Scholar 

  6. HARTEN A., LAX P. D. and Van LEER B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws[J]. SIAM Rev., 1983, 25(1): 35–61.

    Article  MathSciNet  Google Scholar 

  7. HU K., MINGHAM C. G., CAUSON D. M. A bore-capturing finite volume method for open-channel flows[J]. Int. J. Numer. Method, 1998, 28(8): 1241–1261.

    Article  Google Scholar 

  8. WANG J.W., LIU R.X. A comparative study of finite volume method on unstructured meshes for simulation of 2D shallow water wave problems[J]. Mathematics and Computers in Simulation. 2000, 53(3): 171–184.

    Article  MathSciNet  Google Scholar 

  9. YOON Tae Hoon, ASCE F., KANG Seok-Koo. Finite volume model for two-dimensional shallow water flows on unstructured grid[J]. Journal of Hydraulic Engineering, ASCE, 2004, 130(7): 678–688.

    Article  Google Scholar 

  10. SHI Yong, HU Si-yi, A finite volume method for numerical modeling of 2-D flow and sediment movements on unstructured grids[J]. Advances in Water Science, 2002, 13(4): 409–415(in Chinese).

    Google Scholar 

  11. XU Ming-hai. A modified delaunay mesh generation method for 2-D domain[J]. Journal of the University of Petroleum, 2001, 25(2): 100–105 (in Chinese).

    MathSciNet  Google Scholar 

  12. LIU Shi-he, LUO Qiu-shi, HUANG Wei. Generation of 2-D nonstructural grid by= modified delaunay method[J]. Journal of Wuhan University (Engineering Edition), 2006, 38(6): 1–5(in Chinese).

    Google Scholar 

  13. LI Yi-tian, ZHAO Ming-deng, CAO Zhi-fang. Depth-averaged 2-D mathematical model for rivers[M]. Beijing: Water Resources and Electric Press, 2001, 109 (in Chinese).

    Google Scholar 

  14. ZHANG Rui-jin. River dynamics [M]. Beijing: Water Resources and Electric Press, 1998, 184 (in Chinese).

    Google Scholar 

  15. BAI Wei, E Xue-quan. Implement of SMPLE algorithm based on unstructured collocated meshes[J]. Chinese Journal of Computational Mechanics, 2003, 20(6): 702–710(in Chinese).

    Google Scholar 

  16. CHOW P, CROSS M., PERICLEOUS K. A natural extension of the conventional finite volume method into polygonal unstructured meshes for Cfd applications[J]. App. Math. Modeling, 1996, 20(2): 170–183.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shi-he Liu.

Additional information

Biography: LIU Shi-he (1962),Male, Ph. D., Professor

Rights and permissions

Reprints and permissions

About this article

Cite this article

Liu, Sh., Luo, Qs. & Mei, Jy. Simulation of Sediment-Laden Flow by Depth-Averaged Model Based on Unstructured Collocated Grid. J Hydrodyn 19, 525–532 (2007). https://doi.org/10.1016/S1001-6058(07)60149-8

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1016/S1001-6058(07)60149-8

Key words

Navigation