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.

翻译：本文旨在研究在描述含沉积物的浅水方程的Exner模型中，当在其中一个边界施加波列时，不同类型边界条件的影响。数值求解器采用二阶有限体积格式，基于隐式-显式（IMEX）方法进行半隐式时间离散，相较于显式格式具有更优的稳定性。我们展示了计算域右边界处虚假反射波的影响，提出了两种修正方案，并揭示了如何通过适当的无反射边界条件来减弱此类虚假效应。