  The aim of this work is to study the effect of imposing different types of
boundary conditions in the Exner model describing shallow water equations with
sedimentation, when a train of waves is imposed at one of the boundaries. The
numerical solver is a second order finite-volume scheme, with semi-implicit
time discretization based on Implicit-Explicit (IMEX) schemes, which guarantee
  better stability properties than explicit ones. We show the effect of
spurious reflected waves at the right edge of the computational domain, propose
two remedies, and show how such spurious effects can be reduced by suitable
non-reflecting boundary conditions.
