Chapter 27. Numerical analysis of a corrector results in short term sand transport problem

Abstract

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.