Skip to main content
Log in

Coupled flood and sediment transport modelling with adaptive mesh refinement

  • Article
  • Published:
Science China Technological Sciences Aims and scope Submit manuscript

Abstract

Coupled flood and sediment transport modelling in large-scale domains has for long been hindered by the high computational cost. Adaptive mesh refinement is one of the viable ways to solving this problem without degrading the accuracy. This goal can be accomplished through mesh adaptation, e.g., mesh coarsening and refining based on the dynamic regime of the flow and sediment transport along with bed evolution. However, previous studies in this regard have been limited to cases either without involving sediment transport or featuring flow-sediment-bed decoupling and the assumption of sediment transport capacity, which are not generally justified. Here, a coupled hydrodynamic and non-capacity sediment transport model is developed on adaptive non-uniform rectangular mesh. The proposed model is validated against experimental tests and numerical results based on the fixed meshes. It is demonstrated that the proposed model can properly capture shock waves, resolve the wetting/drying transition and reproduce morphological evolution. Compared with models based on the fixed meshes, the proposed model features great advantage in computational efficiency and holds promise for wide applications.

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. Duan J G, Nanda S K. Two-dimensional depth-averaged model simulation of suspended sediment concentration distribution in a groyne field. J Hydrol, 2006, 327: 426–437

    Article  Google Scholar 

  2. Zhang S, Duan J G. 1D finite volume model of unsteady flow over mobile bed. J Hydrol, 2011, 405: 57–68

    Article  Google Scholar 

  3. Denlinger R P, O’Connell D R H. Simulations of cataclysmic outburst floods from Pleistocene Glacial Lake Missoula. Geol Soc Am Bull, 2010, 122: 678–689

    Article  Google Scholar 

  4. Liang Q. A structured but non-uniform Cartesian grid-based model for the shallow water equations. Int J Numer Meth Fl, 2011, 66: 537–554

    Article  MATH  Google Scholar 

  5. Caviedes-Voullième D, García-Navarro P, Murillo J. Influence of mesh structure on 2D full shallow water equations and SCS Curve Number simulation of rainfall/runoff events. J Hydrol, 2012, 448–449: 39–59

    Article  Google Scholar 

  6. Cook A, Merwade V. Effect of topographic data, geometric configuration and modeling approach on flood inundation mapping. J Hydrol, 2009, 377: 131–142

    Article  Google Scholar 

  7. Gallegos H A, Schubert J E, Sanders B F. Two-dimensional, high-resolution modeling of urban dam-break flooding: A case study of Baldwin Hills, California. Adv Water Resour, 2009, 32: 1323–1335

    Article  Google Scholar 

  8. Crowder D, Diplas P. Using two-dimensional hydrodynamic models at scales of ecological importance. J Hydrol, 2000, 230: 172–191

    Article  Google Scholar 

  9. Berger M J, Oliger J. Adaptive mesh refinement for hyperbolic partial differential equations. J Comput Phys, 1984, 53: 484–512

    Article  MathSciNet  MATH  Google Scholar 

  10. George D L. Adaptive finite volume methods with well-balanced Riemann solvers for modeling floods in rugged terrain: Application to the Malpasset dam-break flood (France, 1959). Int J Numer Meth Fl, 2010, 66: 1000–1018

    Article  Google Scholar 

  11. Greaves D M, Borthwick A G L. Hierarchical tree-based finite element mesh generation. Int J Numer Meth Eng, 1999, 45: 447–471

    Article  MATH  Google Scholar 

  12. Chen A S, Evans B, Djordjević S, et al. Multi-layered coarse grid modelling in 2D urban flood simulations. J Hydrol, 2012, 470–471: 1–11

    Google Scholar 

  13. Yiu K F C, Greaves D M, Cruz S, et al. Quadtree grid generation: Information handling, boundary fitting and CFD applications. Comput Fluids, 1996, 25: 759–769

    Article  MATH  Google Scholar 

  14. Benkhaldoun F, Sari S, Seaid M. A flux-limiter method for dam-break flows over erodible sediment beds. Appl Math Model, 2012, 36: 4847–4861

    Article  MathSciNet  MATH  Google Scholar 

  15. Cao Z, Pender G, Wallis S, et al. Computational dam-break hydraulics over erodible sediment bed. J Hydraul Eng ASCE, 2004, 130: 689–703

    Article  Google Scholar 

  16. Soares-Frazão S, Canelas R, Cao Z, et al. Dam-break flows over mobile beds: experiments and benchmark tests for numerical models. J Hydraul Res, 2012, 50: 364–375

    Article  Google Scholar 

  17. Wang J P, Liang Q. Testing a new adaptive grid-based shallow flow model for different types of flood simulations. J Flood Risk Manag, 2011, 4: 96–103

    Article  Google Scholar 

  18. Benkhaldoun F, Sahmim S, Seaïd M. A two-dimensional finite volume morphodynamic model on unstructured triangular grids. Int J Numer Meth Fl, 2010, 63: 1296–1327

    MATH  Google Scholar 

  19. Zhang M, Wu W M. A two dimensional hydrodynamic and sediment transport model for dam break based on finite volume method with quadtree grid. Appl Ocean Res, 2011, 33: 297–308

    Article  Google Scholar 

  20. Huang W, Cao Z, Yue Z, et al. Coupled modelling of flood due to natural landslide dam breach. Proc Inst Civil Eng-Water Manag, 2012, 165: 525–542

    Article  Google Scholar 

  21. Zhang R, Xie J. Sedimentation research in China: Systematic selections. Beijing: China Water and Power Press, 1993

    Google Scholar 

  22. Cao Z, Yue Z, Pender G. Landslide dam failure and flood hydraulics. Part II: coupled mathematical modelling. Nat Hazards, 2011, 59: 1021–1045

    Article  Google Scholar 

  23. Meyer-Peter E, Müller R. Formulas for Bed-Load Transport, in: IAHR 2nd meeting, IAHR Stockholm, 1948, 39–64

    Google Scholar 

  24. Benkhaldoun F, Elmahi I, Seaïd M. Well-balanced finite volume schemes for pollutant transport by shallow water equations on unstructured meshes. J Comput Phys, 2007, 226: 180–203

    Article  MathSciNet  MATH  Google Scholar 

  25. Hirsch C. Numerical Computation of Internal and External Flows (Vol. 1): Fundamentals of Numerical Discretization. London: John Wiley & Sons, 1990

    Google Scholar 

  26. Toro E. Shock-capturing methods for free-surface shallow flows. London: John Wiley, 2001

    MATH  Google Scholar 

  27. Liang Q, Marche F. Numerical resolution of well-balanced shallow water equations with complex source terms. Adv Water Resour, 2009, 32: 873–884

    Article  Google Scholar 

  28. Berthon C. A stable gradient reconstruction for the MUSCL schemes applied to systems of conservation laws. Flow Turbul Combust, 2006, 76: 343–351

    Article  MATH  Google Scholar 

  29. Venutelli M. Stability and accuracy of weighted four-point implicit finite difference schemes for open channel flow. J Hydraul Eng ASCE, 2002, 128: 281–288

    Article  Google Scholar 

  30. Cao Z, Meng J, Pender G, et al. Flow resistance and momentum flux in compound open channels. J Hydraul Eng ASCE, 2006, 132: 1272–1282

    Article  Google Scholar 

  31. Bellos C V, Soulis V, Sakkas J G. Experimental investigation of two-dimensional dam-break induced flows. J Hydraul Res, 1992, 30: 47–63

    Article  Google Scholar 

  32. Cao Z, Yue Z, Pender G. Landslide dam failure and flood hydraulics. Part I: Experimental investigation. Nat Hazards, 2011b, 59: 1003–1019

    Article  Google Scholar 

  33. Wu W, Marsooli R, He Z. Depth-averaged two-dimensional model of unsteady flow and sediment transport due to noncohesive embankment break/breaching. J Hydraul Eng, 2012, 138: 503–516

    Article  Google Scholar 

  34. Herget J. Reconstruction of Pleistocene ice-dammed lake outburst floods in the Altai Mountains, Siberia. Geol Soc Am Special Papers, 2005, 386: 1–2

    Google Scholar 

  35. Carling P. Morphology, sedimentology and palaeohydraulic significance of large gravel dunes, Altai Mountains, Siberia. Sedimentology, 1996, 43: 647–664

    Article  Google Scholar 

  36. Carling P, Villanueva I, Herget J, et al. Unsteady 1D and 2D hydraulic models with ice dam break for Quaternary megaflood, Altai Mountains, southern Siberia. Global Planet Change, 2010, 70: 24–34

    Article  Google Scholar 

  37. Walder J, Costa J. Outburst floods from glacier-dammed lakes: The effect of mode of lake drainage on flood magnitude. Earth Surf Proc Land, 1996, 21: 701–723

    Article  Google Scholar 

  38. Lamb M P, Fonstad M A. Rapid formation of a modern bedrock canyon by a single flood event. Nat Geosci, 2010, 3: 477–481

    Article  Google Scholar 

  39. Liao C B, Wu M S, Liang S J. Numerical simulation of a dam break for an actual river terrain environment. Hydrol Process, 2007, 21: 447–460

    Article  Google Scholar 

  40. Zhou J G, Causon D M, Mingham C G, et al. Numerical prediction of dam-break flows in general geometries with complex bed topography. J Hydraul Eng ASCE, 2004, 130: 332–340

    Article  Google Scholar 

  41. Ji C N, Ante M, Eldad A, et al. Numerical investigation of particle saltation in the bed-load regime. Sci China Tech Sc, 2014, 58: 1500–1511

    Article  Google Scholar 

  42. Zhang L, Zhong D Y, Wu B S. Particle inertia effect on sediment dispersion in turbulent open-channel flows. Sci China Tech Sc, 2014, 58: 1977–1987

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to ZhiXian Cao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Huang, W., Cao, Z., Pender, G. et al. Coupled flood and sediment transport modelling with adaptive mesh refinement. Sci. China Technol. Sci. 58, 1425–1438 (2015). https://doi.org/10.1007/s11431-015-5880-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11431-015-5880-6

Keywords

Navigation