This paper is devoted to numerical simulations of sand transport problems submitted to the tide near the seabed. We characterized at first a corrector result from two-scale convergence. We aim also to do numerical simulation for short term dynamical of dunes presented in Faye et al. (2011) and Thiam et al. (2018). We consider a two-scale numerical approach based on finite element method. The stability of the scheme is established and finally, we present some numerical results.
Digital Object Identifier: 10.16929/sbs/2018.100-05-04