A high-order finite volume solver on locally refined cartesian meshes—Benchmark session

Abstract

This paper provides numerical results of a finite volume solver based on high-order schemes for Cartesian Meshes. This solver is dedicated to the computation of complex flows in marine and ocean engineering. It aims at solving complex hydrodynamic flows that cannot be yet propelery solved such as breaking waves, fluid-structure interactions, turbulent flows, etc. Since high-order schemes are highly recommended for under-resolved simulations, a WENO5 reconstruction is combined with a 4th order Runge–Kutta scheme for time integration.