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Numerical Investigation of Natural Rough-Bed Flow

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Numerical Computations: Theory and Algorithms (NUMTA 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11974))

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Abstract

The turbulent flow in natural rough-bed watercourses is a rather complex phenomenon, still poorly investigated. The majority of the existing works on this subject is of experimental nature, while the numerical ones are mostly related to artificially and regularly-roughened beds. In the present work a numerical investigation is carried out, in which the fully turbulent flow in an open channel is simulated, where the channel bottom is constituted by natural-pebble layers. In the numerical simulations, the Large Eddy Simulation (LES) approach is used, in conjunction with the Wall-Adapting Local Eddy viscosity (WALE) Sub-Grid Scale (SGS) closure model at Reynolds number 46,500 and Froude number 0.186. The Finite-Volume discretized governing equations are solved numerically by means of the InterFOAM solver, embedded in the OpenFOAM C++ digital library. In order to take into account the free-surface dynamics, the Volume of Fluid (VoF) method has been used. The results of the simulations are compared with those obtained in a companion experiment, mainly in terms of turbulence statistics of different order, obtaining a rather good agreement.

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References

  1. Giménez-Curto, L.A., Lera, M.A.C.: Oscillating turbulent flow over very rough surfaces. J. Geophys. Res. Oceans 101, 20745–20758 (1996)

    Article  Google Scholar 

  2. Dittrich, A., Koll, K.: Velocity field and resistance of flow over rough surface with large and small relative submergence. Int. J. Sedim. Res. 12, 21–33 (1997)

    Google Scholar 

  3. Nikora, V., Goring, D., McEwan, I., Griffiths, G.: Spatially averaged open-channel flow over rough bed. ASCE J. Hydraul. Eng. 127, 123–133 (2001)

    Article  Google Scholar 

  4. Nikora, V., McEwan, I., McLean, S., Coleman, S., Pokrajac, D., Walters, R.: Double averaging concept for rough-bed open-channel and overland flows: theoretical background. ASCE J. Hydraul. Eng. 133, 873–883 (2007)

    Article  Google Scholar 

  5. Manes, C., Pokrajac, D., McEwan, I.: Double-averaged open-channel flows with small relative submergence. ASCE J. Hydraul. Eng. 133, 896–904 (2007)

    Article  Google Scholar 

  6. Aberle, J., Koll, K., Dittrich, A.: Form induced stresses over rough gravel-beds. Acta Geophys. 56, 584–600 (2008)

    Article  Google Scholar 

  7. Dey, S., Das, R.: Gravel-bed hydrodynamics: double-averaging approach. ASCE J. Hydraul. Eng. 138, 707–725 (2012)

    Article  Google Scholar 

  8. Ferraro, D., Servidio, S., Carbone, V., Dey, S., Gaudio, R.: Turbulence laws in natural bed flows. J. Fluid Mech. 798, 540–571 (2016)

    Article  MathSciNet  Google Scholar 

  9. Coscarella, F., Servidio, S., Ferraro, D., Carbone, V., Gaudio, R.: Turbulent energy dissipation rate in a tilting flume with a highly rough bed. Phys. Fluids 29, 085101 (2017)

    Article  Google Scholar 

  10. Cameron, S., Nikora, V., Stewart, M.: Very-large-scale motions in rough-bed open-channel flow. J. Fluid Mech. 814, 416–429 (2018)

    Article  MathSciNet  Google Scholar 

  11. Padhi, E., Penna, N., Dey, S., Gaudio, R.: Hydrodynamics of water-worked and screeded gravel beds: a comparative study. Phys. Fluids 30, 085105 (2018)

    Article  Google Scholar 

  12. Padhi, E., Penna, N., Dey, S., Gaudio, R.: Spatially averaged dissipation rate in flows over water-worked and screeded gravel beds. Phys. Fluids 30, 125106 (2018)

    Article  Google Scholar 

  13. Stoesser, T., Nikora, V.I.: Flow structure over square bars at intermediate submergence: large eddy simulation study of bar spacing effect. Acta Geophys. 56, 876–893 (2008)

    Article  Google Scholar 

  14. Bomminayuni, S., Stoesser, T.: Turbulence statistics in an open-channel flow over rough bed. ASCE J. Hydraul. Eng. 137, 1347–1358 (2008)

    Article  Google Scholar 

  15. Fang, H., Han, X., He, G., Dey, S.: Influence of permeable beds on hydraulically macro-rough flow. J. Fluid Mech. 847, 552–590 (2018)

    Article  MathSciNet  Google Scholar 

  16. Omidyeganeh, M., Piomelli, U.: Large-eddy simulation of three-dimensional dunes in a steady, unidirectional flow. Part 1. Turbulence statistics. J. Fluid Mech. 721, 454–483 (2013)

    Article  MathSciNet  Google Scholar 

  17. Omidyeganeh, M., Piomelli, U.: Large-eddy simulation of three-dimensional dunes in a steady, unidirectional flow. Part 2. Flow structures. J. Fluid Mech. 734, 509–534 (2013)

    Article  Google Scholar 

  18. Hardy, R.J., Lane, S.N., Ferguson, R.I., Parsons, D.R.: Emergence of coherent flow structures over a gravel surface: a numerical experiment. Water Resour. Res. 43, Article no. W03422 (2007)

    Google Scholar 

  19. Hardy, R.J., Best, J.L., Lane S.N., Carbonneau, P.E.: Coherent flow structures in a depth-limited flow over a gravel surface: the role of near-bed turbulence and influence of Reynolds number. J. Geophys. Res. Earth Surf. 114, Article no. F011003 (2009)

    Google Scholar 

  20. Stoesser, T.: Physically-realistic roughness closure scheme to simulate turbulent channel flow over rough beds within the framework of LES. ASCE J. Hydraul. Eng. 136, 812–819 (2010)

    Article  Google Scholar 

  21. Nicoud, F., Ducros, F.: Subgrid-scale stress modelling based on the square of the velocity-gradient tensor. Flow Turbul. Combust. 62, 183–200 (1999)

    Article  Google Scholar 

  22. Goring, D.G., Nikora, V.I.: Despiking acoustic Doppler velocimeter data. ASCE J. Hydraul. Eng. 128, 117–126 (2002)

    Article  Google Scholar 

  23. Issa, R.I.: Solution of the implicitly discretized fluid flow equations by operator splitting. J. Comput. Phys. 62, 40–65 (1986)

    Article  MathSciNet  Google Scholar 

  24. Hirt, C.W., Nichols, B.D.: Volume of fluid (VoF) method for the dynamics of free boundaries. J. Comput. Phys. 39, 201–225 (1981)

    Article  Google Scholar 

  25. Calomino, F., et al.: Experimental and numerical study of free-surface flows in a corrugated pipe. Water 10, 638 (2018)

    Article  Google Scholar 

  26. Alfonsi, G., Lauria, A., Primavera, L.: Proper orthogonal flow modes in the viscous-fluid wave diffraction case. J. Flow Vis. Image Process. 24, 227–241 (2013)

    Article  Google Scholar 

  27. Alfonsi, G., Lauria, A., Primavera, L.: The field of flow structures generated by a wave of viscous fluid around vertical circular cylinder piercing the free surface. Procedia Eng. 116, 103–110 (2015)

    Article  Google Scholar 

  28. Alfonsi, G., Lauria, A., Primavera, L.: Recent results from analysis of flow structures and energy modes induced by viscous wave around a surface-piercing cylinder. Math. Probl. Eng. 2017, Article no. 5875948 (2017)

    Google Scholar 

  29. Alfonsi, G., Lauria, A., Primavera, L.: On evaluation of wave forces and runups on cylindrical obstacles. J. Flow Vis. Image Process. 20, 269–291 (2013)

    Article  Google Scholar 

  30. Frisch, U.: Turbulence. Cambridge University Press, Cambridge (1995)

    Book  Google Scholar 

  31. Alfonsi, G., Ferraro, D., Lauria, A., Gaudio, R.: Large-eddy simulation of turbulent natural-bed flow. Phys. Fluids 31(8), 085105 (2019)

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Civil Engineering, University of Calabria, Via Bucci 42b, 87036, Rende, Cosenza, Italy

    Giancarlo Alfonsi, Domenico Ferraro, Agostino Lauria & Roberto Gaudio

Authors
  1. Giancarlo Alfonsi
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  2. Domenico Ferraro
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  3. Agostino Lauria
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  4. Roberto Gaudio
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Corresponding author

Correspondence to Agostino Lauria .

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Editors and Affiliations

  1. University of Calabria, Rende, Italy

    Yaroslav D. Sergeyev

  2. University of Calabria, Rende, Italy

    Dmitri E. Kvasov

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Alfonsi, G., Ferraro, D., Lauria, A., Gaudio, R. (2020). Numerical Investigation of Natural Rough-Bed Flow. In: Sergeyev, Y., Kvasov, D. (eds) Numerical Computations: Theory and Algorithms. NUMTA 2019. Lecture Notes in Computer Science(), vol 11974. Springer, Cham. https://doi.org/10.1007/978-3-030-40616-5_21

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  • DOI: https://doi.org/10.1007/978-3-030-40616-5_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-40615-8

  • Online ISBN: 978-3-030-40616-5

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