A multiphysics strategy for free surface flows

Abstract

This work is the first step towards a multiphysics strategy for free-surface flows simulation. In particular, we present a strategy to couple one and two-dimensional hydrostatic free surface flow models. We aim to reduce the computational cost required by a full 2D model. After introducing the two models along with suitable a priori error estimates, we discuss the choice of convenient matching conditions stemming from the results obtained in Formaggia et al. [2001]. The numerical results in the last section confirm the soundness of our analysis.