Stability of transverse dunes against perturbations; a theoretical study using dune skeleton model

Details Stability of transverse dunes against perturbations; a theoretical study using dune skeleton model Stability of transverse dunes against perturbations; a theoretical study using dune skeleton model

2012-01-04

arxiv.org/abs/1201.0864v1

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

The dune skeleton model is a reduced model to describe the formation process and dynamics of characteristic types of dunes emerging under unidirectional steady wind. Using this model, we study the effects of random perturbations and lateral field size on the stability of transverse dunes. It was found that i) an increase in the number of 2D-CSs destabilizes the transverse dune to cause deformation of a barchan, ii) the initial random perturbations decay with time by the power function until a certain time; thereafter, the dune shapes change into three phases according to the control parameters, iii) the duration time, until the transverse dune is broken, increases exponentially with increasing control parameters. We show how the transverse dunes are affected by the relevant parameters.

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