Experimental validation of two depth-averaged turbulence models

International Journal for Numerical Methods in Fluids

Volumn 60, Issue 2, 2009, Pages 177-202

  Fe, J ^a   Navarrina, F ^a   Puertas, J ^a,b   Vellando, P ^a,b   Ruiz, D ^a  

^a UNIVERSITY OF A CORUÑA   (Spain)

^b Grupo de Ingeniería del Agua y del Medio Ambiente   (Spain)

Author keywords

Depth averaged k ; Finite volume; Friction velocity; Q r; Shallow water; Turbulence model; Wall conditions

Indexed keywords

FINITE VOLUME; FRICTION VELOCITY; Q-R; SHALLOW WATER; WALL CONDITIONS;

FLUID DYNAMICS; FRICTION;

TURBULENCE MODELS;

EID: 67649983277     PISSN: 02712091     EISSN: 10970363     Source Type: Journal    
DOI: 10.1002/fld.1880     Document Type: Article

References (42)

1. Vreugdenhil CB. Numerical Methods for Shallow-water Flow. Kluwer Academic Publishers: Dordrecht, The Netherlands, 1994.
2. Peña E, Fe J, Puertas J, Sánchez-Tembleque F, Cea L. Experimental validation of a sediment transport bidimensional numerical model using PIV and 3D Scanning technologies. Journal of Hydraulic Research 2008; 46(4):489-503. DOI: 10.3826/jhr.2008.2737.
3. Navarrina F, Colominas I, Casteleiro M, Cueto-Felgueroso L, Gómez H, Fe J, Soage A. A numerical model for the transport of salinity in estuaries. International Journal for Numerical Methods in Fluids 2008; 56:507-523.
4. Bonillo J, Puertas J, Fe J, Vellando P. A 2D numerical model for the transport of pollutants. The influence of boundary conditions. 3rd International Symposium on Ecohydraulics, Salt Lake City, UT, 1999.
5. Alcrudo F. A state of the art review on mathematical modelling of flood propagation. Report of the Investigation of Extreme Flood Processes and Uncertainty (IMPACT). Available on the web at: www.samui.co.uk/ impact-project/.
6. Cea L, French JR, Vázquez-Cendón ME. Numerical modelling of tidal flows in complex estuaries including turbulence: an unstructured finite volume solver and experimental validation. International Journal for Numerical Methods in Engineering 2006; 67:1909-1932.
7. Bermúdez A, Dervieux A, Desideri J, Vázquez ME. Upwind schemes for the two dimensional shallow water equations with variable depth using unstructured meshes. Computer Methods in Applied Mechanics and Engineering 1998; 155:49-72.
8. Vázquez-Cendón ME. Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry. Journal of Computational Physics 1999; 148:497-526.
9. Alcrudo F, García-Navarro P. A high resolution Godunov type scheme in finite volumes for the 2D shallow-water equations. International Journal for Numerical Methods in Fluids 1993; 16:489-505.
10. Mingham CG, Causon DM. High-resolution finite-volume method for shallow water flows. Journal of Hydraulic Engineering 1998; 124(6):604-614.
11. Chippada S, Dawson CN, Martínez ML, Wheeler MF. A Godunov-type finite volume method for the system of shallow water equations. Computer Methods in Applied Mechanics and Engineering 1998; 151:105-129.
12. Brufau P, García-Navarro P. Two-dimensional dam break flow simulation. International Journal for Numerical Methods in Fluids 2000; 33:35-57.
13. Fe J, Cueto-Felgueroso L, Navarrina F, Puertas J. Numerical viscosity reduction in the resolution of the shallow water equations with turbulent term. International Journal for Numerical Methods in Fluids. DOI: 10.1002/fld.1759.
14. Anastasiou A, Chan CT. Solution of the shallow water equations using the finite volume method on unstructured triangular meshes. International Journal for Numerical Methods in Fluids 1997; 24:1225-1245.
15. Rastogi A, Rodi W. Predictions of heat and mass transfer in open channels. Journal of the Hydraulics Division. Proceedings of the American Society of Civil Engineers 1978; 104(HY3):397-418.
16. Launder BE, Spalding DB. The numerical computation of turbulent flows. Computer Methods in Applied Mechanics and Engineering 1974; 3:269-289.
17. McGuirk JJ, Rodi W. A depth-averaged mathematical model for the near field of side discharges into open-channel flow. Journal of Fluid Mechanics 1978; 86(part 4):761-781.
18. Rodi W, Pavlovic N, Srivatsa SK. Prediction of flow and pollutant spreading in rivers. Transport Models for Inland and Coastal Waters. Academic Press: New York, 1981; 63-111.
19. Falconer RA, Guiyi L. Modelling tidal flows in an island's wake using a two-equation turbulence model. Proceedings of the Institution of Civil Engineers. Water, Maritime and Energy 1992; 96(1):43-53. DOI: 10.1680/iwtme.1992.18497.
20. Rameshwaran P, Shiono K. Predictions of velocity and boundary shear stress in compound meandering channel. River Flow 2002; 1:223-231.
21. Minh B, Wenka T, Rodi W. Numerical modelling of bed deformation in laboratory channels. Journal of Hydraulic Engineering 2004; 130(9):894-904.
22. Chaudhry MH. Open Channel Flow. Prentice-Hall: Englewood Cliffs, NJ, 1993.
23. Harten A, Lax P, Van Leer B. On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. SIAM Review 1983; 25:35-61.
24. Brufau P, Vázquez-Cendón ME, García-Navarro P. A numerical model for the flooding and drying of irregular domains. International Journal for Numerical Methods in Fluids 2002; 39:247-275.
25. Burguete J, García-Navarro P, Murillo J. Friction term discretization and limitation to preserve stability and conservation in the 1D shallow-water model: application to unsteady irrigation and river flow. International Journal for Numerical Methods in Fluids 2007; DOI: 10.1002/fld.1727.
26. Rodi W. Turbulence Models and their Application in Hydraulics. A State-of-the-art Review, IAHR Monograph (3rd edn). Balkema: Rotterdam, 1993.
27. Nezu I, Nakagawa H. Turbulence in Open-channel Flows. IAHR Monograph. Balkema: Rotterdam, 1993.
28. Fischer H, List E, Koh R, Imberger J, Brooks N. Mixing in Inland and Coastal Waters. Academic Press: New York, 1979; 105-112.
29. Fe J. Aplicación del método de volúmenes finitos a la resolución numérica de las ecuaciones de aguas someras con incorporación de los esfuerzos debidos a la turbulencia. Ph.D. Dissertation (in Spanish), University of A Coruña, 2005. Available on the web at: http://www.tesisenred.net/.
30. Finnie JI, Jeppson RW. Solving turbulent flows using finite elements. Journal of Hydraulic Engineering 1991; 117(11):1513-1530.
31. Wilcox D. Turbulence Modelling for CFD. DCW Industries, Inc.: La Cañada, CA, 2002.
32. Versteeg H, Malalasekera W. An Introduction to Computational Fluid Dynamics. The Finite Volume Method. Addison-Wesley Longman: Harlow, 1995.
33. Spalding DB. A single formula for the law of the wall, Transactions of the ASME Series A. Journal of Applied Mechanics 1961; 28(3):444-458.
34. Tucker PG. Prediction of turbulent oscillatory flows in complex systems. International Journal for Numerical Methods in Fluids 2000; 33:869-895.
35. Goncalves E, Houdeville R. Turbulence model and numerical scheme assessment for buffet computations. International Journal for Numerical Methods in Fluids 2004; 46:1127-1152.
36. Brigham Young University. User's guide to RMA2 version 4.3, Salt Lake City, U.S.A., 1996.
37. Leschziner M, Rodi W. Calculations of strongly curved open channel flow. Journal of the Hydraulics Division. Proceedings of the American Society of Civil Engineers 1979; 105(HY10):1297-1314.
38. Codina R, Soto O. Finite element implementation of two-equation and algebraic stress turbulence models for steady incompressible flows. International Journal for Numerical Methods in Fluids 1999; 30:309-333.
39. Ferziger J, Peric M. Computational Methods for Fluid Dynamics. Springer: Berlin, 1996.
40. Ruiz D. Ensayos experimentales y simulación numérica de problemas de dinámica de fluidos. Technical Report, University of La Coruña, 2006 (in Spanish).
41. Chow VT. Open-channel Hydraulics. McGraw-Hill: New York, 1959.
42. Thangam S. Analysis of two equation turbulence models for recirculating flows. NASA Contractor Report 187607, ICASE Report No. 91-61, 1991.