85 citations · 85 across the 2 of their papers we have counts for
4 papers
High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves
Caterina Bassi, Saray Busto, Michael Dumbser
In this paper, we propose a unified and high order accurate fully-discrete one-step ADER Discontinuous Galerkin method for the simulation of linear seismic waves in the sea bottom…
A hyperbolic reformulation of the Serre-Green-Naghdi model for general bottom topographies
Caterina Bassi, Luca Bonaventura, Saray Busto Ulloa +1
We present a novel hyperbolic reformulation of the Serre-Green-Naghdi (SGN) model for the description of dispersive water waves. Contrarily to the classical Boussinesq-type models,…
High order ADER schemes for continuum mechanics
Saray Busto, Simone Chiocchetti, Michael Dumbser +2
In this paper we first review the development of high order ADER finite volume and ADER discontinuous Galerkin schemes on fixed and moving meshes, since their introduction in 1999…
Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems
Saray Busto, Maurizio Tavelli, Walter Boscheri +1
We propose a new family of high order staggered semi-implicit discontinuous Galerkin (DG) methods for the simulation of natural convection problems. Assuming small temperature fluc…