Evolving dunes under flow reversals: from an initial heap toward an
inverted dune
Abstract
Sand dunes are ubiquitous in nature, and are found in abundance on Earth
and other planetary environments. One of the most common types are
crescent-shaped dunes known as barchans, whose mid-line could be assumed
to behave as 2D dunes. In this work, we (i) compare the morphology of
the mid-line of 3D barchans with 2D dunes; and (ii) track the evolution
of 3D barchan and 2D dunes under bi-modal changes in the flow direction.
We performed experiments in a 2D flume on 2D dunes and Euler-Lagrange
simulations of 3D bedforms. The reversal experiments start with an
initial heap deforming into a steady-state dune, which is then perturbed
by reversing the flow, resulting in an inverted dune. We show that
during the reversal the grains on the lee side immediately climb back
onto the dune while its internal part and toe remain static, forming a
new lee face on the previous stoss slope of varying angle. We determine
that (i) the characteristic time for the development of 2D dunes scales
identically with that for 3D barchans, (ii) that the time for dune
reversal is twice the time necessary to develop an initial heap to
steady-state, and (iii) that a considerable part of grains remain static
during the entire process. Our findings reveal the mechanisms for dune
reversal, and highlight that numerical computations of 2D barchans,
which are more feasible in geophysical scales, predict realistic
outcomes for the relevant time-scales.