Amplitude equation and long-range interactions in underwater sand ripples in one dimension

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 4, 2008, Pages

  Schnipper, Teis ^a   Mertens, Keith ^b   Ellegaard, Clive ^c   Bohr, Tomas ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

^b Veterinary Dentistry and Oral Surgery   (United States)

^c UNIVERSITY OF COPENHAGEN   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

AMPLITUDE MODULATION; ELECTRON TRAPS; OFFSHORE OIL WELL PRODUCTION; SAND;

AMPLITUDE EQUATIONS; EXPERIMENTAL OBSERVATIONS; GLOBAL SYMMETRIES; HEIGHT PROFILES; LONG-RANGE; LONG-RANGE INTERACTIONS; NARROW CHANNELS; ONE DIMENSIONS; OSCILLATORY FLOWS; SAND RIPPLES; SECONDARY INSTABILITIES; UNDERWATER SAND RIPPLES; WATER MOTIONS;

EQUATIONS OF MOTION;

EID: 54549114525     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.047301     Document Type: Article

References (21)

1. H. Ayrton, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.1910.0076 84, 285 (1910).
2. R. A. Bagnold, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 187, 1 (1946).
3. M. Cross and P. C. Hohenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.65.851 65, 851 (1993).
4. A. Stegner and J. E. Wesfreid, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.R3487 60, R3487 (1999).
5. M. A. Scherer, F. Melo, and M. Marder, Phys. Fluids PHFLE6 1070-6631 10.1063/1.869902 11, 58 (1999).
6. G. Rousseaux, A. Stegner, and J. E. Wesfreid, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.031307 69, 031307 (2004).
7. J. L. Hansen, M. van Hecke, C. Ellegaard, K. H. Andersen, T. Bohr, A. Haaning, and T. Sams, Nature (London) NATUAS 0028-0836 10.1038/35066631 410, 324 (2001);
8. J. L. Hansen, M. van Hecke, C. Ellegaard, K. H. Andersen, T. Bohr, A. Haaning, and T. Sams, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87. 204301 87, 204301 (2001).
9. P. Blondeaux, J. Fluid Mech. JFLSA7 0022-1120 10.1017/S0022112090000908 218, 1 (1990).
10. K. H. Andersen, Phys. Fluids PHFLE6 1070-6631 10.1063/1.1332390 13, 58 (2001).
11. J. Fredsøe and R. Deigaard, Mechanics of Coastal Sediment Transport (World Scientific, Singapore, 1992).
12. P. Nielsen, J. Geophys. Res. JGREA2 0148-0227 10.1029/JC086iC07p06467 86, 6467 (1981).
13. K. H. Andersen, M.-L. Chabanol, and M. van Hecke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.066308 63, 066308 (2001).
14. K. H. Andersen, M. Abel, J. Krug, C. Ellegaard, L. R. Søndergaard, and J. Udesen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.234302 88, 234302 (2002).
15. J. Krug, Complex Syst. CPSYEN 0891-2513 4, 353 (2001).
16. P. Politi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.281 58, 281 (1998);
17. P. Politi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.036133 73, 036133 (2006).
18. Z. Csahók, C. Misbah, F. Rioual, and A. Valance, Eur. Phys. J. E EPJSFH 1292-8941 10.1007/s101890070043 3, 71 (2000).
19. G. Rousseaux, H. Caps, and J.-E. Wesfried, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/e2004-00055-x 13, 213 (2004).
20. L. Prigozhin, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.729 60, 729 (1999).
21. F. Bundgaard, C. Ellegaard, K. Scheibye-Knudsen, T. Bohr, and T. Sams, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.066207 70, 066207 (2004).