J. Allen, Sand waves : a model of origin and internal structure, Sedimentary Geology, vol.26, issue.4, pp.281-328, 1980.

L. Amoudry, T. Hsu, P. L. Liu, and .. , Two-phase model for sand transport in sheet flow regime, Journal of Geophysical Research : Oceans, issue.C3, p.113, 2008.

L. O. Amoudry, Extension of k-w turbulence closure to two-phase sediment transport modelling : Application to oscillatory sheet flows, THESIS (Two-pHase modElling for Sediment dynamIcS), vol.72, pp.110-121, 2014.

B. Andreotti, Les milieux granulaires : entre fluide et solide. Savoirs actuels, Physique. EDP Sciences. chap, vol.1, issue.2, 2011.

B. Andreotti and P. Et-claudin, Selection of dune shapes and velocities part 2 : A two-dimensional modelling, The European Physical Journal B-Condensed Matter and Complex Systems, vol.28, issue.3, pp.341-352, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00009358

B. Andreotti and P. Et-claudin, Comment on "minimal size of a barchan dune, Phys. Rev. E, vol.76, p.63301, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00202425

B. Andreotti, P. Claudin, O. Devauchelle, O. Durán, and A. Fourrière, , 2012.

, Bedforms in a turbulent stream : ripples, chevrons and antidunes, Journal of Fluid Mechanics, vol.690, pp.94-128

B. Andreotti, P. Claudin, and S. Douady, Selection of dune shapes and velocities part 1 : Dynamics of sand, wind and barchans, The European Physical Journal B -Condensed Matter and Complex Systems, vol.28, issue.3, pp.321-339, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00009357

B. Andreotti, P. Claudin, and O. Et-pouliquen, Measurements of the aeolian sand transport saturation length, Geomorphology, vol.123, issue.3, pp.343-348, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00520759

R. A. Bagnold, The physics of blown sand and desert dunes, 1941.

R. A. Bagnold, An approach to the sediment transport problem from general physics. US government printing office, 1966.

S. E. Belcher, D. P. Xu, and J. C. Hunt, The response of a turbulent boundary layer to arbitrarily distributed two-dimensional roughness changes, Quarterly Journal of the Royal Meteorological Society, vol.116, issue.493, pp.611-635, 1990.

H. E. Belrhiti and S. Et-douady, Equilibrium versus disequilibrium of barchan dunes, Geomorphology, vol.125, issue.4, pp.558-568, 2011.

T. B. Benjamin, Shearing flow over a wavy boundary, Journal of Fluid Mechanics, vol.6, issue.2, pp.161-205, 1959.

S. Berne, P. Castaing, E. Le-drezen, and G. Lericolais, Morphology, internal structure, and reversal of asymmetry of large subtidal dunes in the entrance to gironde estuary (france), Journal of Sedimentary Research, vol.63, issue.5, pp.780-793, 1993.

S. Berné, Architecture et dynamique des dunes tidale : exemple de la marge atlantique française, 1991.

J. Boussinesq, Essai sur la théorie des eaux courantes, 1877.

J. Boussinesq, Théorie de l'écoulement tourbillonant et tumultueux des liquides dans les lits rectilignes à grande section (tuyaux de conduite et canaux découverts), quand cet écoulement s' est régularisé en un regime uniforme, c'est-a-dire, moyennement pareil à travers toutes les sections normales du lit, p.122, 1896.

B. Camenen and M. Larson, Phase-lag effects in sheet flow transport, Coastal Engineering, vol.53, issue.5-6, pp.531-542, 2006.

F. Charru, Selection of the ripple length on a granular bed sheared by a liquid flow, Physics of fluids, vol.18, issue.12, p.121508, 2006.

F. Charru, B. Andreotti, and P. Et-claudin, Sand ripples and dunes, Annual Review of Fluid Mechanics, vol.45, pp.469-493, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00778107

F. Charru and E. D. Franklin, Subaqueous barchan dunes in turbulent shear flow. part 2. fluid flow, Journal of Fluid Mechanics, vol.694, pp.131-154, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00920714

F. Charru and E. Hinch, Ripple formation on a particle bed sheared by a viscous liquid. part 1. steady flow, Journal of Fluid Mechanics, vol.550, pp.111-121, 2006.

F. Charru and E. J. Hinch, phase diagram'of interfacial instabilities in a twolayer couette flow and mechanism of the long-wave instability, Journal of Fluid Mechanics, vol.414, pp.195-223, 2000.

F. Charru, H. Mouilleron, and O. Eiff, Erosion and deposition of particles on a bed sheared by a viscous flow, Journal of Fluid Mechanics, vol.519, pp.55-80, 2004.

J. Chauchat and M. Médale, A three-dimensional numerical model for incompressible two-phase flow of a granular bed submitted to a laminar shearing flow, Computer Methods in Applied Mechanics and Engineering, vol.199, issue.9, pp.439-449, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00619372

Z. Cheng, T. Hsu, and J. Et-chauchat, An eulerian two-phase model for steady sheet flow using large-eddy simulation methodology, Advances in Water Resources, vol.111, pp.205-223, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01649881

P. Claudin and B. Andreotti, A scaling law for aeolian dunes on mars, venus, earth, and for subaqueous ripples, Earth and Planetary Science Letters, vol.252, issue.1, pp.30-44, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00115456

S. E. Coleman, J. J. Fedele, and M. H. Et-garc?-a, Closed-conduit bed-form initiation and development, Journal of Hydraulic Engineering, vol.129, issue.12, pp.956-965, 2003.

M. Colombini, Revisiting the linear theory of sand dune formation, Journal of Fluid Mechanics, vol.502, pp.1-16, 2004.

M. Colombini and A. Stocchino, Ripple and dune formation in rivers, Journal of Fluid Mechanics, vol.673, pp.121-131, 2011.

M. Creyssels, P. Dupont, A. O. El-moctar, A. Valance, I. Cantat et al., Saltating particles in a turbulent boundary layer : experiment and theory, Journal of Fluid Mechanics, vol.625, pp.47-74, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00664591

A. Doré, P. Bonneton, V. Marieu, and T. Garlan, Numerical modeling of subaqueous sand dune morphodynamics, Journal of Geophysical Research : Earth Surface, vol.121, issue.3, pp.565-587, 2015.

N. Endo, T. Sunamura, and H. Takimoto, Barchan ripples under unidirectional water flows in the laboratory : formation and planar morphology. Earth Surface Processes and Landforms, vol.30, pp.1675-1682, 2005.

F. Engelund and J. Fredsoe, Sediment ripples and dunes, Annual Review of Fluid Mechanics, vol.14, issue.1, pp.13-37, 1982.

R. Fernandez-luque and R. Van-beek, Erosion and transport of bed-load sediment, Journal of hydraulic research, vol.14, issue.2, pp.127-144, 1976.

Y. Ferret, Morphodynamique de dune sous-marines en contexte de plate-forme mégatidale : approche multi-échelle spatio-temporelle. Theses, 2011.

H. J. Finkel, The barchans of southern peru. The journal of geology, vol.67, pp.614-647, 1959.

B. Flemming, The role of grain size, water depth and flow velocity as scaling factors controlling the size of subaqueous dunes, Marine sandwave dynamics, international workshop, pp.23-24, 2000.

J. E. Florez and E. De-moraes-franklin, The formation and migration of sand ripples in closed conduits : Experiments with turbulent water flows, Experimental Thermal and Fluid Science, vol.71, pp.95-102, 2016.

A. Fourrière, P. Claudin, and B. Andreotti, Bedforms in a turbulent stream.part 2 : Formation of ripples by primary linear instability and of dunes by non-linear pattern coarsening, 2008.

A. Fourrière, P. Claudin, and B. Andreotti, Bedforms in a turbulent stream : formation of ripples by primary linear instability and of dunes by nonlinear pattern coarsening, Journal of Fluid Mechanics, vol.649, pp.287-328, 2010.

E. D. Franklin, Dynamique de dunes isolées dans un écoulement cisaillé, François Mécanique des fluides Toulouse, vol.3, 2008.

E. D. Franklin and F. Charru, Subaqueous barchan dunes in turbulent shear flow. part 1. dune motion, Journal of Fluid Mechanics, vol.675, pp.199-222, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00920714

K. A. Frederick and T. J. Hanratty, Velocity measurements for a turbulent nonseparated flow over solid waves, Experiments in fluids, vol.6, issue.7, pp.477-486, 1988.

J. Fredsøe, On the development of dunes in erodible channels, Journal of Fluid Mechanics, vol.64, issue.1, pp.1-16, 1974.

T. Garlan, A. Cartier, M. Franzetti, P. Le-roy, J. Duarte et al., Complex morphology and organisation of dunes in a giant dunes field, Proc. MARID 2013, pp.113-118, 2013.

W. D. Grant and O. S. Madsen, Movable bed roughness in unsteady oscillatory flow, Journal of Geophysical Research : Oceans, vol.87, issue.C1, pp.469-481, 1982.

C. Groh, I. Rehberg, and C. Kruelle, How attractive is a barchan dune, New Journal of Physics, 2009.

C. Groh, A. Wierschem, N. Aksel, I. Rehberg, and C. A. Kruelle, Barchan dunes in two dimensions : Experimental tests for minimal models, Phys. Rev. E, vol.78, p.21304, 2008.

M. Hamdan, A. Refaat, and M. A. Wahed, Morphologic characteristics and migration rate assessment of barchan dunes in the southeastern western desert of egypt, Geomorphology, vol.257, pp.57-74, 2016.

H. J. Herrmann, Evolution and shapes of dunes, Comptes Rendus Physique, vol.3, issue.2, pp.197-206, 2002.

P. Hersen, Flow effects on the morphology and dynamics of aeolian and subaqueous barchan dunes, Journal of Geophysical Research : Earth Surface, issue.F4, p.110, 2005.

P. Hersen, S. Douady, and B. Andreotti, Relevant length scale of barchan dunes, Phys. Rev. Lett, vol.89, p.264301, 2002.

T. Hsu and D. M. Hanes, Effects of wave shape on sheet flow sediment transport, Journal of Geophysical Research : Oceans, issue.C5, p.109, 2004.

J. C. Hunt, S. Leibovich, and K. J. Richards, Turbulent shear flows over low hills, Quarterly Journal of the Royal Meteorological Society, vol.114, issue.484, pp.1435-1470, 1988.

J. Bouchaud, M. E. Cates, J. Prakash, and S. F. Edwards, A model for the dynamics of sandpile surfaces, J. Phys. I France, vol.4, issue.10, pp.1383-1410, 1994.
URL : https://hal.archives-ouvertes.fr/jpa-00247000

P. S. Jackson and J. C. Hunt, Turbulent wind flow over a low hill, Quart. J. R. Met. Soc, vol.101, pp.929-955, 1975.

J. F. Kennedy, The mechanics of dunes and antidunes in erodible-bed channels, Journal of Fluid mechanics, vol.16, issue.4, pp.521-544, 1963.

J. F. Kennedy, The formation of sediment ripples in closed rectangular conduits and in the desert, Journal of Geophysical Research, vol.69, issue.8, pp.1517-1524, 1964.

N. H. Kenyon and B. Cooper, Sand banks, sand transport and offshore wind farms. Rapport technique, 1 Marine Geology group, the Nation Institute of Oceanography, 2005.

A. Kidanemariam and M. Uhlmann, Direct numerical simulation of pattern formation in subaqueous sediment, Journal of Fluid Mechanics, vol.750, p.2, 2014.

K. Kroy, S. Fischer, and B. Obermayer, The shape of barchan dunes, Journal of Physics : Condensed Matter, vol.17, issue.14, p.1229, 2005.

K. Kroy, G. Sauermann, and H. J. Herrmann, Minimal model for aeolian sand dunes, Phys. Rev. E, vol.66, p.31302, 2002.

K. Kroy, G. Sauermann, and H. J. Herrmann, Minimal model for sand dunes, Phys. Rev. Lett, vol.88, p.54301, 2002.

E. Lajeunesse, L. Malverti, and F. Charru, Bed load transport in turbulent flow at the grain scale : Experiments and modeling, Journal of Geophysical Research : Earth Surface, issue.F4, p.115, 2003.

V. Langlois, Instabilité d'un lit granulaire cisaillé par un écoulement fluide, 2005.

L. Bot and S. , Morphodynamique de dunes sous-marines sous influence des marées et des tempêtes : processus hydro-sédimentaires et enregistrement : exemple du Pas-de-Calais, Hervé et Trentesaux, Alain Sciences de la vie et de la Terre Lille, vol.1, 2001.

J. T. Long and R. P. Sharp, barchan-dune movement in imperial valley, california. GSA Bulletin, vol.75, issue.2, p.149, 1964.

F. Marcaurelio, P. Le-roy, C. Delacourt, T. Garlan, R. Cancouët et al., Giant dune morphologies and dynamics in a deep continental shelf environment : Example of the banc du four (western brittany, france), Marine Geology, vol.346, pp.17-30, 2013.

S. R. Mclean, The stability of ripples and dunes, Earth-Science Reviews, issue.1-4, p.131, 1990.

E. Meyer-peter and R. Müller, Formula for the bedload transport, Proceedings of the 3rd Meeting of the International Association of Hydraulic Research, 1948.

C. Narteau, D. Zhang, O. Rozier, and P. Et-claudin, Setting the length and time scales of a cellular automaton dune model from the analysis of superimposed bed forms, Journal of Geophysical Research : Earth Surface, issue.F3, p.114, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00408634

J. Nikuradse, Law of flow in rough pipes. Technical memorandum 1292, National Advisory Committee for Aeronautics, 1933.

T. Pähtz, E. J. Parteli, J. F. Kok, and H. J. Herrmann, Analytical model for flux saturation in sediment transport, Phys. Rev. E, vol.89, p.52213, 2014.

E. J. Parteli, O. Durán, M. C. Bourke, H. Tsoar, T. Pöschel et al., Origins of barchan dune asymmetry : Insights from numerical simulations, Aeolian Research, vol.12, pp.121-133, 2014.

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

L. Prandtl, Turbulenz und ihre entstehung, J. Aeronaut. Res. Inst, p.65, 1930.

J. Ribberink, Bed-load transport for steady flows and unsteady oscillatory flows, Coastal engineering, issue.34, pp.59-82, 1998.

K. J. Richards, The formation of ripples and dunes on an erodible bed, Journal of Fluid Mechanics, vol.99, issue.3, pp.597-618, 1980.

G. Sauermann, J. Andrade, L. Maia, U. Costa, A. Araújo et al., Wind velocity and sand transport on a barchan dune, Geomorphology, vol.54, issue.3-4, pp.245-255, 2003.

G. Sauermann, P. Rognon, A. Poliakov, and H. Herrmann, The shape of the barchan dunes of southern morocco, 2000.

V. Schatz and H. J. Herrmann, Flow separation in the lee side of transverse dunes : A numerical investigation, Geomorphology, vol.81, issue.1-2, pp.207-216, 2006.

H. Schlichting and K. Et-gersten, Boundary-layer theory, 2016.

R. Soulsby, Dynamics of marine sands : a manual for practical applications, 1997.

R. Soulsby and R. Whitehouse, Threshold of sediment motion in coastal environments, Pacific Coasts and Ports' 97 : Proceedings of the 13th Australasian Coastal and Ocean Engineering Conference and the 6th Australasian Port and Harbour Conference, vol.1, p.145, 1997.

R. L. Soulsby and J. S. Et-damgaard, Bedload sediment transport in coastal waters, Coastal Engineering, vol.52, issue.8, pp.673-689, 2005.

B. M. Sumer and M. Bakioglu, On the formation of ripples on an erodible bed, Journal of Fluid Mechanics, vol.144, pp.177-190, 1984.

M. Uhlmann, An immersed boundary method with direct forcing for the simulation of particulate flows, Journal of Computational Physics, vol.209, issue.2, pp.448-476, 2005.

J. H. Van-den-berg, Aspects of sediment-and morphodynamics of subtidal deposits of the oosterschelde (netherlands), 1986.

L. Van-rijn, Computation of bed-load concentration and bed-load transport, pp.487-488, 1981.

L. C. Van-rijn, Equivalent roughness of alluvial bed, Journal of the Hydraulics Division, vol.108, issue.10, pp.1215-1218, 1982.

L. C. Van-rijn, Principles of sediment transport in rivers, estuaries and coastal seas, Aqua publications Amsterdam, vol.1006, 1993.

B. R. White and H. Et-mounla, An experimental study of froude number effect on wind-tunnel saltation, éditeurs : Aeolian Grain Transport, vol.1, pp.145-157, 1991.

R. J. Whitehouse, J. S. Damgaard, and D. N. Et-langhorne, Sandwaves and seabed engineering ; the application to submarine cables, Proceedings of the Marine Sandwave Dynamics, pp.227-234, 2000.

P. L. Wiberg and J. D. Smith, Model for calculating bed load transport of sediment, Journal of Hydraulic Engineering, vol.115, issue.1, pp.101-123, 1989.

K. Wilson, Friction of wave-induced sheet flow, Coastal Engineering, vol.12, issue.4, pp.371-379, 1989.

D. Zhang, Un automate cellulaire de l'espace réel pour l'étude des populations de dunes, 2011.

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