.. Numerical-results, 112 4.2 Concentrated leak erosion in turbulent flow, p.114

. Independence and T. Meshing, 115 4.2.1.1 Independence of results from mesh density, p.117

O. Aderibigde and N. Rajaratnam, Erosion of loose beds by submerged circular impinging vertical turbulent jets, Journal of Hydraulic Research, vol.54, issue.1, pp.19-33, 1996.
DOI : 10.1061/(ASCE)0733-9429(1993)119:2(181)

P. M. Allen, J. Arnold, and E. Jakubowski, Design and Testing of a Simple Submerged-Jet Device for Field Determination of Soil Erodibility, Environmental & Engineering Geoscience, vol.III, issue.4, pp.579-584, 1997.
DOI : 10.2113/gseegeosci.III.4.579

P. Angot, A unified ficititious domain model for general embedded boundary conditions, Compte-rendus de l'Académie des sciences de Paris, pp.683-688, 2005.

G. Annandale, How does Water-Soil Interaction lead to Erosion?, Geotechnics of Soil Erosion, 2007.
DOI : 10.1061/40911(230)1

. Ansys, Fluent Theory Guide Release 12, 2009.

R. A. Antonia, J. Kim, and L. W. Browne, Some characteristics of small-scale turbulence in a turbulent duct flow, Journal of Fluid Mechanics, vol.27, issue.-1, pp.369-388, 1991.
DOI : 10.1017/S0022112087000661

R. Ariathurai and K. Arulanandan, Erosion rates of cohesive soils, Journal of the Hydraulics Division, vol.104, issue.2, pp.279-283, 1978.

A. Balabel and W. A. El-askary, On the performance of linear and nonlinear turbulence models in various jet flow applications, European Journal of Mechanics - B/Fluids, vol.30, issue.3, pp.325-340, 2011.
DOI : 10.1016/j.euromechflu.2010.10.006

R. A. Bagnold, The Flow of Cohesionless Grains in Fluids, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.249, issue.964, pp.235-297, 1956.
DOI : 10.1098/rsta.1956.0020

A. S. Barekyan, Discharge of channel forming sediments and elements of sand waves, Soviet Hydrol, Selected Papers (Transactions of AGU n°2, pp.128-130, 1962.

T. J. Barth and D. Jespersen, The design and application of upwind schemes on unstructured meshes, 27th Aerospace Sciences Meeting, 1989.
DOI : 10.2514/6.1989-366

V. Beek, A. Bezuijen, and H. Sellmeijer, Backward erosion piping, Erosion in Geomechanics Applied to Dams and Levees, pp.193-271, 2013.

B. Bell, Turbulent Flow Case Studies, Fluent Inc., Fluent Software Training, 2003.

S. Beltaos and N. Rajaratnam, Impinging circular turbulent jets, J. Hydraulic Div. ASCE, vol.100, issue.HY10, pp.1313-1328, 1974.

R. Beguin, P. Philippe, Y. H. Faure, and C. Guidoux, Contact Erosion between Two Soils, Erosion of Geomaterials, pp.115-154, 2012.
DOI : 10.1002/9781118561737.ch4

N. Benahmed, C. Chevalier, and S. Bonelli, Chapitre 5 -Erosion par écoulement localisé dans un conduit, Erosion des géomatériaux, Traité MIM série Risques Naturels, 2012.

N. Benahmed and S. Bonelli, Investigating concentrated leak erosion behaviour of cohesive soils by performing hole erosion tests, European Journal of Environmental and Civil Engineering, vol.27, issue.334, pp.43-58, 2012.
DOI : 10.1520/GTJ11034J

F. W. Blaisdell, L. A. Clayton, and G. G. Hebaus, Ultimate dimension of local scour, J. Hydraulics Division ASCE, issue.HY3, pp.107327-337, 1981.

E. Bollaert, Transient water pressure in joints and formation of rock scour due to High- Velocity Jet Impact, 2002.

S. Bonelli and O. Brivois, The scaling law in the hole erosion test with a constant pressure drop, International Journal for Numerical and Analytical Methods in Geomechanics, vol.80, issue.2, pp.1573-1595, 2008.
DOI : 10.1002/nag.683
URL : https://hal.archives-ouvertes.fr/hal-00305364

S. Bonelli, O. Brivois, R. Borghi, and N. Benahmed, On the modelling of piping erosion, Comptes Rendus M??canique, vol.334, issue.8-9, pp.555-559, 2006.
DOI : 10.1016/j.crme.2006.07.003

S. Bonelli, F. Golay, and F. Mercier, Chapter 6 -On the modelling of interface erosion, Erosion of Geomaterials, pp.187-222, 2012.

J. Briaud, F. C. Ting, H. C. Chen, Y. Cao, S. W. Han et al., Erosion Function Apparatus for Scour Rate Predictions, Journal of Geotechnical and Geoenvironmental Engineering, vol.127, issue.2, pp.105-113, 2001.
DOI : 10.1061/(ASCE)1090-0241(2001)127:2(105)

J. Briaud, H. C. Chen, A. V. Govindasamy, and R. Storesund, Levee Erosion by Overtopping in New Orleans during the Katrina Hurricane, Journal of Geotechnical and Geoenvironmental Engineering, vol.134, issue.5, pp.618-632, 2008.
DOI : 10.1061/(ASCE)1090-0241(2008)134:5(618)

O. Brivois, Contribution à la modélisation de l'érosion de fortes pentes par un écoulement turbulent diphasique, Thèse de doctorat, 2005.

J. M. Buffington and D. R. Montgomery, A systematic analysis of eight decades of incipient motion studies, with special reference to gravel-bedded rivers, Water Resources Research, vol.69, issue.7, pp.1993-2029, 1997.
DOI : 10.1029/96WR03190

Z. Cao, Explicit Formulation of the Shields Diagram for Incipient Motion of Sediment, Journal of Hydraulic Engineering, vol.132, issue.10, 2006.
DOI : 10.1061/(ASCE)0733-9429(2006)132:10(1097)

T. Cebeci and P. Bradshaw, Momentum transfers in boundary layers hemisphere, Pub. Corp, p.391, 1977.

D. S. Chang and L. M. Zhang, Simulation of the erosion process of landslide dams due to overtopping considering variations in soil erodibility along depth, Natural Hazards and Earth System Science, vol.10, issue.4
DOI : 10.5194/nhess-10-933-2010

J. Chauchat and M. Médale, A three-dimensional numerical model for incompressible twophase flow of a granular bed submitted to a laminar shearing flow, Comput. Method. Appl. M, vol.199, pp.9-12439, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00619372

H. C. Chen and V. C. Patel, Near-wall turbulence models for complex flows including separation, AIAA Journal, vol.26, issue.6, pp.641-648, 1988.
DOI : 10.2514/3.9948

A. J. Chorin, Numerical solution of the Navier-Stokes equations, Mathematics of Computation, vol.22, issue.104, pp.745-765, 1968.
DOI : 10.1090/S0025-5718-1968-0242392-2

P. Claudin and B. Andreotti, A scaling law for aeolian dunes on Mars, Venus, Earth; and for subaqueous ripples, Earth and Planetary Science Letters, pp.30-44, 2006.

J. W. Cleaver and B. Yates, Mechanism of detachment of colloidal particles from a flat substrate in a turbulent flow, Journal of Colloid and Interface Science, vol.44, issue.3, pp.464-474, 1973.
DOI : 10.1016/0021-9797(73)90323-8

T. Craft, L. Graham, and B. Launder, Impinging jet studies for turbulence model assessment???II. An examination of the performance of four turbulence models, International Journal of Heat and Mass Transfer, vol.36, issue.10, p.36, 1993.
DOI : 10.1016/S0017-9310(05)80205-4

R. N. Croad, Physics of erosion of cohesive soils, 1981.

W. Dade, A. Nowell, and P. Jumars, Predicting erosion resistance of muds, Marine Geology, vol.105, issue.1-4, pp.285-297, 1992.
DOI : 10.1016/0025-3227(92)90194-M

R. Debar, A method in two-d eulerian hydrodynamics, 1974.

S. Dey and B. Westrich, Hydraulics of Submerged Jet Subject to Change in Cohesive Bed Geometry, Journal of Hydraulic Engineering, vol.129, issue.1, 2003.
DOI : 10.1061/(ASCE)0733-9429(2003)129:1(44)

J. Donea, S. Guiliani, and J. P. Halleux, An arbitrary lagrangian-eulerian finite element method for transient dynamic fluid-structure interactions, Computer Methods in Applied Mechanics and Engineering, vol.33, issue.1-3, pp.689-723, 1982.
DOI : 10.1016/0045-7825(82)90128-1

D. Boys and P. , Le Rhône et les Rivières à Lit Affouillable, Annales des Ponts et Chaussées, Série, vol.5, issue.18, pp.141-195, 1879.

I. S. Dunn, Tractive resistance of cohesive channels, Proc. Am. Soc. Civil Engrs, pp.1-24, 1959.

H. A. Einstein, The Bed-Load function for sediment transportation in open channel flows, Departement of Agriculture, Soil Conservation Service, 1950.

F. Engelund and E. Hansen, A monograph on sediment transport in alluvial streams, Teknisk Forlag, p.65, 1967.

R. Emmerling, The instantaneous of the wall pressure under a turbulent boundary layer flow, Max-Planck-Institut fur Stromungsforschung, Rep, issue.9, 1973.

R. Fell and J. Fry, International erosion and dams and their foundations, 2007.

R. Fell, G. Hanson, G. Herrier, D. Marot, and T. Wahl, Relationship between the Erosion Properties of Soils and Other Parameters, Erosion in Geomechanics Applied to Dams and Levees, pp.343-382, 2013.
DOI : 10.1002/9781118577165.ch5
URL : https://hal.archives-ouvertes.fr/hal-01007538

M. Foster, R. Fell, and M. S. , The statistics of embankment dam failures and accidents, Canadian Geotechnical Journal, vol.37, issue.5, pp.1000-1024, 2000.
DOI : 10.1139/t00-030

J. Fry, Chapitre 1 -Introduction à l'érosion interne dans les barrages et les digues, Erosion des géomatériaux, Traité MIM série Risques Naturels, vol.36, 2012.

J. Gargani, Contribution ?? l'??tude de la vitesse critique d'??rosion des sols coh??sifs, Comptes Rendus Geoscience, vol.336, issue.6, pp.561-566, 2004.
DOI : 10.1016/j.crte.2003.11.021

L. F. Geers, K. Hanjalic, and M. J. Tummers, Wall imprint of turbulent structures and heat transfer in multiple impinging jet arrays, Journal of Fluid Mechanics, vol.546, issue.-1, pp.255-284, 2006.
DOI : 10.1017/S002211200500710X

H. J. Gibbs, A study of erosion and tractive force characteristics in relation to soil mechanics properties, Soils Engineering Rep. No. EM-643, 1962.

H. Görtler, Über eine dreidimensionale Instabilität laminarer Grenzschichten an konkaven Wändern, Nachr. Wiss. Ges. Göttingen, Math. Phys. Klasse, Neue Folge, vol.2, issue.1, 1941.

M. Hadziabdic and K. Hanjalic, Vortical structures and heat transfer in a round impinging jet, J. Fluid Mech, vol.596, pp.221-260, 2008.

R. Haehnel and W. Dade, Physics of particle entrainment under the influence of an impinging jet, 2008.

G. J. Hanson, Development of a jet index to characterize erosion resistance of soils in earthen spillways, Transactions of the ASAE, pp.2015-2020, 1991.

G. J. Hanson and K. R. Cook, Apparatus, Test Procedures and Analytical Methods to Measure Soil Erodibility In Situ, Engineering in Agriculture ASAE, vol.20, issue.4, pp.455-462, 2004.

G. J. Hanson and K. M. Robinson, The influence of soil moisture and compaction on spillway erosion, Transactions of the ASAE, pp.1349-1352, 1993.

G. J. Hanson, K. M. Robinson, and D. M. Temple, Pressure and Stress Distributions Due to a Submerged Impinging Jet, Res. Hydr. Engr. USDA, 1990.

G. J. Hanson and A. Simon, Erodibility of cohesive streambeds in the loess area of the Midwestern USA, Hydrological processes, pp.23-38, 2001.

P. Hénensal, Recherches qui pourraient être entreprises en génie civil dans le domaine de l'érosion et de l'érodabilité hydrique des sols, 1983.

G. Hoffmans, The influence of turbulence on soil erosion, 2012.

A. J. Hogg, H. E. Huppert, and W. B. Dade, Erosion by planar turbulent wall jets, Jounal of Fluid Mechanics, pp.317-340, 1997.

M. Hollick, Towards a Routine Test for the Assessment of the Critical Tractive Forces of Cohesive Soils, Transactions of the ASAE, vol.19, issue.6, pp.1076-1081, 1976.
DOI : 10.13031/2013.36179

D. G. Holmes and S. D. Connell, Solution of the 2D Navier-Stokes equations on unstructured adaptive grids, 9th Computational Fluid Dynamics Conference, 1989.
DOI : 10.2514/6.1989-1932

E. J. Hopfinger, A. Kurniawan, W. H. Graf, and U. Lemmin, Sediment erosion by G??rtler vortices: the scour-hole problem, Journal of Fluid Mechanics, vol.520, pp.327-342, 2004.
DOI : 10.1017/S0022112004001636

B. Indraratna, T. Muttuvel, and H. Khabbaz, Modelling the erosion rate of chemically stabilized soil incorporating tensile force ??? deformation characteristics, Canadian Geotechnical Journal, vol.46, issue.1, pp.57-68, 2009.
DOI : 10.1139/T08-103

J. E. Jaramillo, C. D. Pérez-segarra, I. Rodriguez, and A. Olivia, Numerical Study of Plane and Round Impinging Jets Using RANS Models, Numerical Heat Transfer, pp.213-237, 2008.

B. Kader, Temperature and concentration profiles in fully turbulent boundary layers, International Journal of Heat and Mass Transfer, vol.24, issue.9, pp.1541-1544, 1981.
DOI : 10.1016/0017-9310(81)90220-9

J. Kim, P. Moin, and R. Moser, Turbulence statistics in fully developed channel flow at low Reynolds number, Journal of Fluid Mechanics, vol.65, issue.-1, pp.133-166, 1987.
DOI : 10.1017/S0022112074001479

H. Kobus, P. Liester, and B. Westrich, FLOW FIELD AND SCOURING EFFECTS OF STEADY AND PULSATING JETS IMPINGING ON A MOVABLE BED, Journal of Hydraulic Research, vol.17, issue.3, pp.17175-192, 1979.
DOI : 10.1017/S0022112066001551

D. Lachouette, F. Golay, and S. Bonelli, One-dimensional modelling of piping flow erosion, Comptes Rendus de Mécanique, pp.731-736, 2008.

E. J. Langendoen, A. Simon, and C. V. Alonso, Modelling channel instabilities and mitigation strategies in Eastern Nebraska, Proc. of the 2000 Joint Conference on Water Resources Engineering and Water Resource Planning and ManagementCD?ROM), 2000.

G. Lefebvre, K. Rohan, and S. Douville, Erosivity of natural intact structured clay: Evaluation, Canadian Geotechnical Journal, vol.22, issue.4, pp.508-517, 1985.
DOI : 10.1139/t85-071

M. K. Looney and J. J. Walsh, Mean-flow and turbulent characteristics of free and impinging jet flows, Journal of Fluid Mechanics, vol.15, issue.-1, pp.397-429, 1984.
DOI : 10.1017/S0022112077002493

D. Marot and A. Benamar, Suffusion, Transport and Filtration of Fine Particles in Granular Soil, Erosion of Geomaterials, pp.39-80, 2012.
DOI : 10.1002/9781118561737.ch2
URL : https://hal.archives-ouvertes.fr/hal-01007547

K. A. Mazurek, N. Rajaratnam, and D. C. Sego, Scour of Cohesive Soil by Submerged Circular Turbulent Impinging Jets, Journal of Hydraulic Engineering, vol.127, issue.7, pp.598-606, 2001.
DOI : 10.1061/(ASCE)0733-9429(2001)127:7(598)

K. A. Mazurek and T. Hossain, Scour by jets in cohesionless and cohesive soils, Canadian Journal of Civil Engineering, vol.34, issue.6, pp.744-751, 2007.
DOI : 10.1139/l07-005

F. Mercier, F. Golay, S. Bonelli, F. Anselmet, R. Borghi et al., Numerical modelling of the erosion of a cohesive soil by a turbulent impinging jet, pp.soumis-a
URL : https://hal.archives-ouvertes.fr/hal-00978682

F. Mercier, S. Bonelli, P. Pinettes, F. Golay, F. Anselmet et al., Comparison of CFD simulations with experimental Jet Erosion Tests results, pp.soumis-b
URL : https://hal.archives-ouvertes.fr/hal-01038057

F. Mercier, S. Bonelli, F. Golay, F. Anselmet, P. Philippe et al., Numerical modelling of concentrated leak erosion during Hole Erosion Tests, Acta Geotechnica, vol.12, issue.3, pp.soumis-c
DOI : 10.1007/s11440-014-0349-5
URL : https://hal.archives-ouvertes.fr/hal-01294943

E. Meyer-peter and R. Müller, Formulas for bed-load transport, Proceedings of the Second Meeting of IAHR, pp.39-64, 1948.

W. L. Moore and F. D. Masch, Experiments on the scour resistance of cohesive sediments, Journal of Geophysical Research, vol.20, issue.4, pp.1437-1446, 1962.
DOI : 10.1029/JZ067i004p01437

S. V. Narumanchi, V. Hassani, and D. Bharathan, Modelling Single-Phase and Boiling Liquid Jet Impingement Cooling in Power Electronics, 2005.

M. A. Nearing, A Probabilistic Model Of Soil Detachment By Shallow Turbulent Flow, Transactions of the ASAE, vol.34, issue.1
DOI : 10.13031/2013.31627

O. 'donoghue, T. Trajkovic, B. Piggins, and J. , Sand bed response to submerged water jet, Proc. 11th International Offshore and Polar Engineering Conference, 2001.

S. Osher and J. Sethian, Fronts propagating with curvature dependent speed: algorithm for tracking material interface, Journal of Computational Physics, vol.39, pp.201-225, 1981.

M. Ouriemi, P. Aussillous, and E. Guazzelli, Sediment dynamics. Part 1. Bed-load transport by laminar shearing flows, Journal of Fluid Mechanics, vol.33, pp.295-319, 2009.
DOI : 10.1007/BF02120313
URL : https://hal.archives-ouvertes.fr/hal-01432009

R. E. Paaswell, Causes and mechanisms of cohesive soil erosion: state of art, Special report 135, Highway Research Board, National Research Council, pp.52-74, 1973.

E. Papamichos and I. Vardoulakis, Sand erosion with a porosity diffusion law, Computers and Geotechnics, pp.47-58, 2005.

E. Partheniades, Erosion and Deposition of Cohesive Soils, Journal of Hydraulic Division, vol.91, pp.105-139, 1965.

S. V. Patankar and D. B. Spalding, A calculation procedure for heat, mass ant momentum transfers in three-dimensional parabolic flows, Int. J. Heat Mass Transfer, vol.15, 1972.

C. S. Peskin, The immersed boundary method, Acta numerica, pp.1-39, 1977.

D. J. Phares, G. T. Smedley, and R. C. Flagan, The wall shear stress produced by the normal impingement of a jet on a flat surface, Journal of Fluid Mechanics, vol.418, pp.351-375, 2000.
DOI : 10.1017/S002211200000121X

P. Philippe, R. Beguin, and Y. H. Faure, Contact Erosion, Erosion in Geomechanics Applied to Dams and Levees, pp.101-192, 2013.
DOI : 10.1002/9781118577165.ch2
URL : https://hal.archives-ouvertes.fr/hal-00838002

P. Pinettes, J. Courivaud, J. Fry, F. Mercier, and S. Bonelli, First introduction of Greg Hanson's « Jet Erosion Test, Europe: return on experience after 2 years of testing, USSD annual meeting, 2011.

S. B. Pope, Turbulent Flows, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00338511

M. Poreh, Y. G. Tsuei, and J. E. Cermak, Investigation of a Turbulent Radial Wall Jet, Journal of Applied Mechanics, vol.34, issue.2
DOI : 10.1115/1.3607705

N. Rajaratnam, Erosion by submerged circular jets, Journal of Hydraulic Division, vol.108, issue.HY2, pp.262-267, 1982.

A. J. Raudkivi, Loose Boundary hydraulics, 1998.

P. Regazzoni and D. Marot, Investigation of interface erosion rate by Jet Erosion Test and statistical analysis, European Journal of Environmental and Civil Engineering, vol.15, issue.1, pp.1167-1185, 2011.
DOI : 10.1061/(ASCE)1090-0241(2004)130:4(373)
URL : https://hal.archives-ouvertes.fr/hal-01006999

P. Regazzoni, D. Marot, T. Wahl, G. J. Hanson, and J. Courivaud, Soils erodibility: a comparison between the Jet Erosion Test and the Hole Erosion Test, Proc. Inaugural International Mechanics Institute (EM08), Conference (A.S.C.E.), 2008.
URL : https://hal.archives-ouvertes.fr/hal-01008922

D. Rickenmann and A. Recking, Evaluation of flow resistance in gravel-bed rivers through a large field dataset, Water Resources Research, vol.47, pp.1-23, 2011.

K. M. Robinson, S. J. Bennett, G. J. Hanson, and K. C. Kadavy, The influence of weathering on headcut erosion, ASAE Paper No. 002066, 2000.

H. Rouse, An analysis of sediment transportation in the light of fluid turbulence, 1939.

H. Schlichting, Boundary Layer theory, 1960.
DOI : 10.1007/978-3-662-52919-5

A. R. Sharif and J. F. Atkinson, Model for Surface Erosion of Cohesive Soils, Journal of Hydraulic Engineering, vol.138, issue.7, pp.581-590, 2012.
DOI : 10.1061/(ASCE)HY.1943-7900.0000551

A. Shields, Anwendung der aenlichkeitsmechanik und der turbulenzforschung auf die geschiebebewegung, Mitteilungen der Preussischen Versuchsanstalt fur Wasserbau und Schiffbau, 1936.

T. Shih, W. W. Liou, A. Shabbir, Z. Yang, and J. Zhu, A New k-epsilon Eddy-Viscosity Model for High Reynolds Number Turbulent Flows -Model Development and Validation, Computers Fluids, pp.227-238, 1995.

A. Simon and R. E. Thomas, Processes and forms of an unstable alluvial system with resistant, cohesive streambeds, Earth Surface Processes and Landforms, vol.35, issue.7, pp.699-718, 2002.
DOI : 10.1002/esp.347

E. T. Smerdon and R. P. Beasley, Critical tractive forces in cohesive soils, Agric. Eng, pp.26-29, 1961.

O. R. Stein and D. D. Nett, Impinging jet calibration of excess shear sediment detachment parameters, Transactions of the ASAE, pp.1573-1580, 1997.

F. Ternat, P. Boyer, F. Anselmet, and M. Amielh, Erosion threshold of saturated natural cohesive sediments: Modeling and experiments, Water Resources Research, vol.23, issue.8, p.11434, 2008.
DOI : 10.1029/2007WR006537
URL : https://hal.archives-ouvertes.fr/hal-00319728

D. J. Tritton, Physical Fluid Dynamics -2nd edition, 1988.

I. Vardoulakis, M. Stavropoulou, and P. Papanastasiou, Hydromechanical aspects of sand production problem, Transport in Porous Media, pp.225-244, 1996.

D. X. Viegas and A. R. Borges, An erosion technique for the measurement of the shear stress field on a flat plate, Journal of Physics E: Scientific Instruments, vol.19, issue.8, pp.625-63, 1986.
DOI : 10.1088/0022-3735/19/8/008

T. L. Wahl, P. Regazzoni, and Z. Erdogan, Determining Erosion Indices of Cohesive Soils with the Hole Erosion Test and Jet Erosion Test, Dam Safety Office Report DSO-08-05

. Dept, of the Interior, Bureau of Reclamation, 2008.

C. F. Wan and R. Fell, Investigation of internal erosion and piping of soils in embankment dams by the slot erosion test and the hole erosion test, UNICIV Report, vol.412, pp.3-18, 2002.

C. F. Wan and R. Fell, Laboratory Tests on the Rate of Piping Erosion of Soils in Embankment Dams, Journal of Geotechnical Testing Journal, vol.27, issue.3, pp.295-303, 2004.

J. C. Winterwerp and W. G. Van-kesteren, Introduction to the Physics of Cohesive Sediment in the Marine Environment, Developments in Sedimentology Series no. 56. xiii + 466 pp, 2004.

P. R. Wilcock and J. C. Crowe, Surface-based Transport Model for Mixed-Size Sediment, Journal of Hydraulic Engineering, vol.129, issue.2, pp.120-128, 2003.
DOI : 10.1061/(ASCE)0733-9429(2003)129:2(120)

D. C. Wilcox, Turbulence Modelling for CFD, DCW Industries, California, 1998.

M. Wolfshtein, The velocity and temperature distribution in one-dimensional flow with turbulence augmentation and pressure gradient, International Journal of Heat and Mass Transfer, vol.12, issue.3, pp.301-318, 1969.
DOI : 10.1016/0017-9310(69)90012-X

M. Yalin, Mechanics of sediment transport, 1977.