Articles | Volume 11, issue 4
https://doi.org/10.5194/esurf-11-803-2023
https://doi.org/10.5194/esurf-11-803-2023
Research article
 | 
15 Aug 2023
Research article |  | 15 Aug 2023

The probabilistic nature of dune collisions in 2D

Paul A. Jarvis, Clement Narteau, Olivier Rozier, and Nathalie M. Vriend

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Cited articles

Allen, J. R. L.: The avalanching of granular solids on dune and similar slopes, J. Geol., 78, 326–351, 1970. a, b
Andreotti, B. and Claudin, P.: Aeolian and subaqueous bedforms in shear flows, Philos. Trans. Roy. Soc. A, 371, 20120364, https://doi.org/10.1098/rsta.2012.0364, 2013. a, b
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Andreotti, B., Claudin, P., and Douady, S.: Selection of dune shapes and velocities Part 2: A two-dimensional modelling, Eur. Phys. J. B, 28, 341–352, 2002b. a
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Short summary
Sand dune migration velocity is inversely proportional to dune size. Consequently, smaller, faster dunes can collide with larger, slower downstream dunes. Such collisions can result in either coalescence or ejection, whereby the dunes exchange mass but remain separate. Our numerical simulations show that the outcome depends probabilistically on the dune size ratio, which we describe through an empirical function. Our numerical predictions compare favourably against experimental observations.