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Geomorphology

Solitary wave behaviour of sand dunes

Colliding dunes appear to traverse through one another and emerge unscathed.

Abstract

Barchan sand dunes are highly mobile, crescent-shaped dunes that occur in areas where sand is sparse and the wind is unidirectional. Here we show mathematically how two such loose-grained dunes are able to pass through one another while still preserving their shape. The crucial parameters for this solitary-wave behaviour, which is consistent with field observations, are the heights of the two colliding dunes.

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Figure 1
Figure 2: Time series of the solitary-wave behaviour of two barchan sand dunes placed one in front of the other.

References

  1. Bagnold, R. A. The Physics of Blown Sand and Desert Dunes (Methuen, London, 1941).

    Google Scholar 

  2. Finkel, H. J. J. Geol. 67, 614–647 (1959).

    Article  ADS  Google Scholar 

  3. Hesp, P. A. & Hastings, K. Geomorphology 22, 193–204 (1998).

    Article  ADS  Google Scholar 

  4. Sauermann, G., Rognon, P., Poliakov, A. & Herrmann, H. J. Geomorphology 36, 47–62 (2000).

    Article  ADS  Google Scholar 

  5. Wippermann, F. K. & Gross, G. Boundary Layer Meteorol. 36, 319–334 (1986).

    Article  ADS  Google Scholar 

  6. Werner, B. T. J. Geol. 98, 1–17 (1990).

    Article  ADS  Google Scholar 

  7. Sauermann, G., Kroy, K. & Herrmann, H. J. Phys. Rev. E 64, 31305 (2001).

    Article  ADS  CAS  Google Scholar 

  8. Kroy, K., Sauermann, G. & Herrmann, H. J. Phys. Rev. L. 68, 54301 (2002).

    Article  Google Scholar 

  9. Hersen, P. et al. http://arxiv.org/abs/cond-mat/0303115 (2003).

  10. Schwämmle, V. & Herrmann, H. Preprint http://arxiv.org/abs/cond-mat/0304695 (2003).

  11. Lamb, G. L. Elements of Soliton Theory (Wiley, New York, 1980).

    MATH  Google Scholar 

  12. Besler, H. Z. Geomorphol. N.F. 126, 59–74 (2002).

    Google Scholar 

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Correspondence to Veit Schwämmle.

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Schwämmle, V., Herrmann, H. Solitary wave behaviour of sand dunes. Nature 426, 619–620 (2003). https://doi.org/10.1038/426619a

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