Second-order finite volume mood method for the shallow water with dry/wet interface

Abstract

The shallow water system is a fundamental work-piece for tsunami or flooding simulations. One of the major difficulties is the correct location of the dry/wet interface to evaluate accurate approximations of the velocity and kinetic energy. On the other hand, the MOOD method has been recently proposed to provide more efficient schemes in the framework of the Euler system. We propose to compare two second-order methods, namely the MUSCL and the MOOD techniques, and draw comparisons on accuracy shock capturing and dry/wet interface.