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：这项工作的目的是研究在Exner模型中规定不同种类的边界条件的效果,这些边界条件描述浅水方程式与沉积,当波浪列车在边界之一时。数字求解器是第二顺序的定量计划,其半隐含时间分解基于隐含(IMEX)计划,保证比显性(IMEX)计划更稳定。我们在计算域的右边缘显示了虚假反射波的影响,提出了两种补救措施,并表明如何通过适当的非反射边界条件来减少这种虚假影响。</s>