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

Volumn 114, Issue 3, 2009, Pages

  Narteau, C ^a   Zhang, D ^a   Rozier, O ^a   Claudin, P ^b  

^a CNRS   (France)

^b PSL RESEARCH UNIVERSITY   (France)

Author keywords

[No Author keywords available]

Indexed keywords

BEDFORM; COMPUTER SIMULATION; DEPOSITION; DUNE; EROSION RATE; NUMERICAL MODEL; SEDIMENT TRANSPORT; STOCHASTICITY; THREE-DIMENSIONAL MODELING; BOTTOM STRESS; EROSION; FEEDBACK MECHANISM; SHEAR STRESS; TOPOGRAPHY;

EID: 77954338221     PISSN: 21699003     EISSN: 21699011     Source Type: Journal    
DOI: 10.1029/2008JF001127     Document Type: Article

References (57)

1. Anderson, R. S., and P. K. Haff (1988), Simulation of eolian saltation, Science, 241, 820-823.
2. Andreotti, B. (2004), A two-species model of aeolian sand transport, J. Fluid Mech., 510, 47-70. (Pubitemid 38964462)
3. Andreotti, B., and P. Claudin (2007), Comment on "Minimal size of a barchan dune," Phys. Rev. E, 76, 063301.1-063302.5, doi:10.1103/ Phys RevE.76.063301.
4. Andreotti, B., P. Claudin, and S. Douady (2002), Selection of dune shapes and velocities: Part 2: A two-dimensional modelling, Eur. Phys. J. B, 28, 341-352. (Pubitemid 135695410)
5. Baas, A., and J. Nield (2007), Modelling vegetated dune landscapes, Geophys. Res. Lett., 34, L06405, doi:10.1029/2006GL029152.
6. Bagnold, R. A. (1941), The Physics of Blown Sand and Desert Dunes, Methuen, London.
7. Bagnold, R. A. (1956), Flow of cohesionless grains in fluids, Philos. Trans. R. Soc. London Ser. A, 249, 235-297.
8. Bak, P., C. Tang, and K. Wiesenfield (1988), Self-organised criticality, Phys. Rev. A, 38, 364-374.
9. Breed, C., and T. Grow (1979), Morphology and distribution of dunes in sand seas observed by remote sensing, in A. Study of Global Sand Seas, edited by E. McKee, U.S. Geol. Surv. Prof. Pap, 1052, pp. 252-302.
10. Bristow, C. S., S. D. Bailey, and N. Lancaster (2000), The sedimentary structure of linear sand dunes, Nature, 406, 56-59.
11. Bristow, C. S., G. Duller, and N. Lancaster (2007), Age and dynamics of linear dunes in the Namib desert, Geology, 35, 555-558.
12. Charm, F. (2006), Selection of the ripple length on a granular bed, Phys. Fluids, 18, 121-508.
13. Chopard, B., and M. Droz (1998), Cellular Automata Modeling of Physical Systems, Cambridge Univ. Press, Cambridge, U. K.
14. Claudin, P., and B. Andreotti (2006), A scaling law for aeolian dunes on Mars, Venus, Earth, and for subaqueous ripples, Earth Plan. Sci. Lett., 252, 30-44. (Pubitemid 44742717)
15. d'Humières, D., P. Lallemand, and U. Frisch (1986), Lattice gas models for 3-D hydrodynamics, Europhys. Lett., 2, 291-297.
16. Durán, O., and H. Herrmann (2006), Vegetation against dune mobility, Phys. Rev. Lett., 97, 188001.1-181001.4.
17. Durán, O., V. Schwämmle, and H. Herrmann (2005), Breeding and solitary wave behavior of dunes, Phys. Rev. E, 72, 021308.1-021308.5.
18. Elbelrhiti, H., P. Claudin, and B. Andreotti (2005), Field evidence for surface-wave-induced instability of sand dunes, Nature, 437, 720-723. (Pubitemid 41486538)
19. Elbelrhiti, H., B. Andreotti, and P. Claudin (2008), Barchan dune corridors: Field characterization and investigation of control parameters, J. Geophys. Res., 113, F02S15, doi: 10.1029/2007JF000767.
20. Engelund, F. (1970), Instability of erodible beds, J. Fluid Meek, 42, 225-244.
21. Engelund, F., and J. Fredsoe (1982), Sediment ripples and dunes, Ann. Rev. Fluid Mech, 14, 13-31.
22. Ewing, R., G. Kocurek, and L. Lake (2006), Pattern analysis of dune-field parameters, Earth Surf. Processes Landforms, 31, 1176-1191, doi:10.1002/esp.1312.
23. Fredsue, J. (1974), On the development of dunes in erodible channels, J. Fluid Mech, 64, 1-16.
24. Frisch, U., B. Hasslacher, and Y. Pomeau (1986), Lattice-gas automata for the Navier-Stokes equation, Phys. Rev. Lett., 56, 1505-1508.
25. Hardy, J., O. de Pazzis, and Y. Pomeau (1976), Molecular dynamics of a classical lattice gas: Transport properties and time correlation functions, Phys. Rev. A, 13, 1949-1961.
26. Hersen, P. (2004), On the crescentic shape of barchan dunes, Eur. Phvs. J. B, 37, 507-514.
27. Hersen, P., K. H. Andersen, H. Elbelrhiti, B. Andreotti, P. Claudin, and S. Douady (2004), Corridors of barchan dunes: Stability and size selection, Phys. Rev. E, 69, 011304.1-011304.12.
28. Hunt, J. C R., S. Leibovich, and K. J. Richards (1988), Turbulent wind flow over smooth hills, Q. J. R. Meteorol. Soc., 114, 1435-1470.
29. Jackson, P. S., and J. C. R. Hunt (1975), Turbulent wind flow over a low hill, Q. J. R. Meteorol Soc., 101, 929-955.
30. Kennedy, J. (1963), The mechanics of dunes and antidunes in erodible bed channels, J. Fluid Mech, 16, 521-544.
31. Kocurek, G., and R. Ewing (2005), Aeolian dune field self-organization: Implications for the formation of simple versus complex dune-field patterns, Geomorphology, 72, 10-94.
32. Kocurek, G., K. Havholm, M. Deynoux, and R. Blakey (1991), Amalgamated accumulations resulting from climatic and eustatic changes, Akchar Erg, Mauritania, Sedimentology, 38, 751-772.
33. Kroy, K., G. Sauermann, and H. J. Herrmann (2002a), Minimal model for sand dunes, Phys. Rev. Lett., 88, 054301.1-054301.4.
34. Kroy, K., G. Sauermann, and H. J. Herrmann (2002b), Minimal model for aeolian sand dunes, Phys. Rev. E, 66, 031302.1-031302.18.
35. Lancaster, N. (1995), Geomorphology of Desert Dunes, Routledge, New York.
36. McKee, E. (1979), Introduction to a study of global sand seas, in A Study of Global Sand Seas, edited by E. McKee, U.S. Geol. Surv. Prof. Pap., 1052, pp. 3-19.
37. Meyer-Peter, E., and R. Müller (1948), Formulas for bed load transport, in Proceedings of the 2nd Meeting of the International Association for Hydraulic Structures Research, pp. 39-64, Inter. Assoc. for Hydraul. Res., Delft, Netherlands.
38. Momiji, H., and A. Warren (2000), Relations of sand trapping efficiency and migration speed of transverse dunes to wind velocity, Earth Surf Processes Landforms, 25, 1069-1084.
39. Narteau, C, J.-L. Le Mouël, J. Poirier, E. Sepúlveda, and M. G. Shnirman (2001), On a small scale roughness of the core-mantle boundary, Phys. Earth Planet. Int., 191, 49-61.
40. Nishimori, H., and N. Ouchi (1993), Computational models for sand ripple and sand dune formation, Int. J. Mod. Phys. B, 7, 2025-2034.
41. Nishimori, H., M. Yamasaki, and K. H. Andersen (1999), A simple model for the various pattern dynamics of dunes, Int. J. Mod. Phys. B, 12, 257-272.
42. Parker, G. (1975), Sediment inertia as cause of river antidunes, J. Hydraul. Div., 101, 211-221.
43. Parteli, E., and H. Herrmann (2007), Dune formation on the present Mars, Phys. Rev. E, 76, 041307.1-041307.16.
44. Parteli, E., O. Durán, and H. Herrmann (2007a), Reply to "Comment on "minimal size of a barchan dune"," Phys. Rev. E, 76, 063302.1-063302.5, doi: 10.1103/PhysRevE.76.063302.
45. Parteli, E. J. R, O. Durán, and H. J. Herrmann (2007b), Minimal size of a barchan dune, Phys. Rev. E, 75, 011301.1-011301.10.
46. Rasmussen, K. R., J. D. Iversen, and P. Rautaheimo (1996), Saltation and wind flow interaction in a variable slope wind tunnel, Geomorphology, 17, 19-28. (Pubitemid 27055242)
47. Reynolds, A. (1965), Waves on the erodible bed of an open channel, J. Fluid Mech, 22, 113-133.
48. Richards, K. (1980), The formation of ripples and dunes on an erodible bed, J. Fluid Mech, 99, 567-618.
49. Rothman, D. H., and S. Zaleski (2004), Lattice-Gas Cellular Automata: Simple Models of Complex Hydrodynamics, Cambridge Univ. Press, Cambridge, U. K.
50. Sauermann, G., K. Kroy, and H. J. Herrmann (2001), Continuum saltation model for sand dunes, Phys. Rev. E, 6403, 031305.1-031305.10.
51. Sykes, R. I. (1980), An asymptotic theory of incompressible turbulent boundary layer flow over a small hump, J. Fluid Mech., 101, 647-670. (Pubitemid 11466301)
52. Taylor, P., P. Mason, and E. Bradley (1987), Boundary-layer flow over low hills, Boundary Layer Meteorol., 39, 107-132.
53. Ungar, J. E., and P. K. Haff (1987), Steady state saltation in air, Sedimentology, 34, 289-299.
54. Werner, B. T. (1995), Eolian dunes: Computer simulations and attractor interpretation, Geology, 23, 1107-1110.
55. Werner, B. T., and G. Kocurek (1997), Bed-from dynamics: Does the tail wag the dog?, Geology, 25, 771-774. (Pubitemid 127548443)
56. Wiggs, G. F. S. (2001), Desert dune processes and dynamics, Prog, in Phys. Geogr, 25, 53-19.
57. Wolfram, S. (1986), Theory and Application of Cellular Automata, World Sci., Singapore.