We herein present a novel methodology to construct very high order well-balanced schemes
for the computation of the Euler equations with gravitational source term, with application to …

Abstract Large-Eddy Simulations (LES) are used to investigate the governing processes
involved in mass and momentum transfer between the flow in the main channel and …

Powerful numerical methods have to consider the presence of source terms of different
nature, that intensely compete among them and may lead to strong spatiotemporal …

This paper focuses on the design and analysis of very high-order finite volume methods for
the computation of simplified meso-and micro-scale atmospheric flows. In a dry atmosphere …

Turbulent shallow flows are characterized by the presence of horizontal large-scale vortices,
caused by local variations of the velocity field. Apart from these 2D large vortices, small …

In Gerhard et al.(2015a) a new class of adaptive Discontinuous Galerkin schemes has been
introduced for shallow water equations, including the particular necessary properties, such …

In this work, an arbitrary order augmented WENO-ADER scheme for the resolution of the 2D
Shallow Water Equations (SWE) with geometric source term is presented and its application …

In this work, numerical solvers based on extensions of the Roe and HLL schemes are
adapted to deal with test cases involving extreme collapsing conditions in elastic vessels. To …

Steady shallow flows past an open channel lateral cavity can induce the excitation of an
eigenmode of a gravity standing wave inside the cavity, called seiche, which may be …

Shallow-type mathematical models are built in the context of free surface flows over the main
hypothesis that the flow layer depth is smaller than a relevant horizontal length scale. There …