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Two-Dimensional Bed Variation Models Under Non-equilibrium Conditions in Turbulent Streams

  • Research Article - Civil Engineering
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Abstract

In this paper, a depth-averaged two-dimensional non-equilibrium coupled model has been proposed to determine water surface profiles and bed profiles in alluvial channels and rivers. In this coupled model, a hydrodynamic component was applied to the two-dimensional shallow-water equations to determine hydraulic data. By employing precalculated data, morphodynamic component could determine bed deformation in erodible layer. Moreover, in order to simulate the nature of sediment transport mechanisms more realistic, two turbulence models were used for examining the turbulence parameters. In order to achieve the successful representation of the domain by the meshes, the finite volume method was used to discretize the governing equations in explicit conditions. Furthermore, the unstructured triangular mesh system was developed to solve governing equations by total variation diminishing scheme. In the final step, due to the lack of experimental data to examine the numerical results of proposed model, Flow3D software was employed. The suggested model satisfactorily predicted water surface profiles and bed profiles simulated with Flow3D software.

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References

  1. Wu, W., Vieira, D.A., Wang, S.S.Y.: One-dimensional numerical model for non-uniform sediment transport under unsteady flows in channel networks. J. Hydraul. Eng. ASCE 130(9), 914 (2004). doi:10.1061/(ASCE)0733-9429(2004)

  2. Tayfur, G.; Singh, P.: Kinematic wave model of bed profiles in alluvial channels. Water Resour. Res. W06414, 1–13 (2006)

    Google Scholar 

  3. Tayfur, G.; Singh, P.: Kinematic wave model for transient bed profiles in alluvial channels under nonequilibrium conditions. Water Resour. Res. W12412, 1–11 (2007)

    Google Scholar 

  4. Seo, I.W.; Jun, I.; Choi, H.S.: One-dimensional finite element model for suspended sediment transport analysis. World City Water Forum 24, 3107–3112 (2009)

    Google Scholar 

  5. Kaya, B.; Gharehbaghi, A.: Modelling of sediment transport with finite volume method under unsteady conditions. J. Fac. Eng. Archit. Gazi Univ. 27, 827–836 (2012)

    Google Scholar 

  6. Kaya, B.; Gharehbaghi, A.: Implicit solutions of advection diffusion equation by various numerical methods. Aust. J. Basic Appl. Sci. 8, 381–391 (2014)

    Google Scholar 

  7. Acharya, A.: experimental study and numerical simulation of flow and sediment transport around a series of spur dikes. Ph.D., The University of Arizona (2011)

  8. Afshar, H.; Hoseini, S.H.: Experimental and 3-D numerical simulation of flow over a rectangular broad-crested weir. Int. J. Eng. Adv. Technol. 2(6) (2013). ISSN: 2249-8958

  9. Vasquez, J.A.; Walsh, B.W.: CFD simulation of local scour in complex piers under tidal flow. In: 33rd IAHR Congress: Water Engineering for a Sustainable Environment (2009)

  10. Abdelaziz, S.; Bui, M.D.; Rutschmann, P.: Numerical investigation of flow and sediment transport around a circular bridge pier. In: 34th IAHR World Congress-Balance and Uncertainty 26 June–1 July 2011. Brisbane, Australia (2011)

  11. Vasquez, J.; Hurtig, K.; Hughes, B.: Computational fluid dynamics (CFD) modeling of run-of-river intakes. In: Hydrovision 2013 Conference Proceedings. Denver, CO (2013)

  12. Farsirotou, E.D.; Soulis, J.V.; Dermissis, V.D.: A numerical method for 2-d bed morphology calculations. Int. J. Comput. Fluid Dyn. 16, 187–200 (2002)

    Article  MATH  Google Scholar 

  13. Liu, X.; Landry, B.J.; García, M.H.: Two-dimensional scour simulations based on coupled model of shallow water equations and sediment transport on unstructured meshes. Coast. Eng. 55, 800–810 (2008)

    Article  Google Scholar 

  14. Diaz, M.J.Castro; Fernández-Nieto, E.D.; Ferreiro, A.M.; Parés, C.: Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes. Comput. Methods Appl. Mech. Eng. 198, 2520–2538 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  15. Kuang, C.P.; hang, Y.; Gu, J.; Pan, Y.; Huang, J.: A two-dimensional morphological model based on a next generation circulation solver I: formulation and validation. Coast. Eng. 59, 1–13 (2011)

    Article  Google Scholar 

  16. Cea, L.; Vázquez-Cendón, M.E.: Unstructured finite volume discretisation of bed friction and convective flux in solute transport models linked to the shallow water equations. J. Comput. Phys. 231, 3317–3339 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  17. Meyer-Peter, E.; Müller, R.: Formulas for bed load transport. Proceedings 2nd Meeting International Association of Hydraulic Research. Stockholm, pp. 39–64 (1948)

  18. Wu, W.; Vieira, D.A.; Wang, S.S.Y.: One-dimensional numerical model for non-uniform sediment transport under unsteady flows in channel networks. J. Hydraul. Eng. ASCE 130, 914–923 (2004)

    Article  Google Scholar 

  19. Chien, N.: The present status of research on sediment transport. Trans. ASCE 121, 833–68 (1956)

    Google Scholar 

  20. Yang, C.T.: Sediment Transport Theory and Practice. McGrawHill, New York (1996)

    Google Scholar 

  21. Costa, J.J.; Oliveira, L.A.; Blay, D.: Test of several versions for the k–e type turbulence modelling of internal mixed convection flows. Int. J. Heat Mass Transf. 42, 4391–4409 (1999)

    Article  MATH  Google Scholar 

  22. Wu, W.; Wang, P.; Chiba, N.: Comparison of five depth-averaged 2-D turbulence models for river flows. Arch. Hydro-Eng. Environ. Mech. 51(2), 183–200 (2004)

    Google Scholar 

  23. Jia, Y.; Wang, S.S.Y.: Two-dimensional Hydrodynamic and Sediment, Version 2, Technical Report No. NCCHE-TR-2001-1. The University of Mississippi, Oxford, Mississippi USA (2001)

  24. Versteeg, H.K.; Malalasekera, W.: An Introduction to Computational Fluid Dynamics the Finite Volume Method, 2nd edn. Longman Scientific and Technical, New York (2007)

    Google Scholar 

  25. Darwish, M.S.; Moukalled, F.: TVD schemes for unstructured grids. Int. J. Heat Mass Transf. 46, 599–611 (2003)

    Article  MATH  Google Scholar 

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Correspondence to Amin Gharehbaghi.

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Gharehbaghi, A., Kaya, B. & Saadatnejadgharahassanlou, H. Two-Dimensional Bed Variation Models Under Non-equilibrium Conditions in Turbulent Streams. Arab J Sci Eng 42, 999–1011 (2017). https://doi.org/10.1007/s13369-016-2258-4

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  • DOI: https://doi.org/10.1007/s13369-016-2258-4

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