On a Mathematical model for traveling sand dune

Our aim in this paper is to introduce and study a mathematical model for the description of traveling sand dunes. We use surface flow process of sand under the effect of wind and gravity. We model this phenomenon by a nonlinear diffusion- transport equation coupling the effect of transportation of sand due to the wind and the avalanches due to the gravity and the repose angle. The avalanche flow is governed by the evolution surface model and we use a nonlocal term to handle the transport of sand face to the wind. (C) 2021 Elsevier Ltd. All rights reserved.

Automated summary

The aim of this paper is to introduce and study a mathematical model for traveling sand dunes, which describes the surface flow process of sand under the influence of wind and gravity. The model is based on a nonlinear diffusion-transport equation that couples the transportation of sand by wind with avalanches due to gravity and the repose angle. The avalanche flow is governed by the surface evolution model, with a nonlocal term used to handle sand transport in the direction of the wind.