  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 dependency of the morphodynamics of
transverse dunes on the initial random perturbations and the lateral field
size. It was found that i) an increase of the lateral field size 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 amount of
sand and sand diffusion coefficient, iii) the duration time, until the
transverse dune is broken, increases exponentially with increasing the amount
of sand and sand diffusion coefficient. Moreover, under the condition without
the sand supply from windward ground, the destabilization of transverse dune in
this model qualitatively corresponds to the subaqueous dunes in water tank
experiments.
