112 citations · 393 across the 15 of their papers we have counts for
15 papers
An efficient implicit scheme for the multimaterial Euler equations in Lagrangian coordinates
Simone Chiocchetti, Giovanni Russo
Stratified fluids composed of a sequence of alternate layers show interesting macroscopic properties, which may be quite different from those of the individual constituent fluids.…
Discontinuous Galerkin schemes for hyperbolic systems in non-conservative variables: quasi-conservative formulation with subcell finite volume corrections
Elena Gaburro, Walter Boscheri, Simone Chiocchetti +1
We present a novel quasi-conservative arbitrary high order accurate ADER discontinuous Galerkin (DG) method allowing to efficiently use a non-conservative form of the considered pa…
Numerical Simulation of Phase Transition with the Hyperbolic Godunov-Peshkov-Romenski Model
Pascal Mossier, Steven Jöns, Simone Chiocchetti +2
In this paper, a thermodynamically consistent solution of the interfacial Riemann problem for the first-order hyperbolic continuum model of Godunov, Peshkov and Romenski (GPR model…
High order well-balanced Arbitrary-Lagrangian-Eulerian ADER discontinuous Galerkin schemes on general polygonal moving meshes
Elena Gaburro
In this work, we present a novel family of high order accurate numerical schemes for the solution of hyperbolic partial differential equations (PDEs) which combines several geometr…
High-order Arbitrary-Lagrangian-Eulerian schemes on crazy moving Voronoi meshes
Elena Gaburro, Simone Chiocchetti
Hyperbolic partial differential equations (PDEs) cover a wide range of interesting phenomena, from human and hearth-sciences up to astrophysics: this unavoidably requires the treat…
An exactly curl-free staggered semi-implicit finite volume scheme for a first order hyperbolic model of viscous flow with surface tension
Simone Chiocchetti, Micheal Dumbser
In this paper, we present a semi-implicit numerical solver for a first order hyperbolic formulation of two-phase flow with surface tension and viscosity. The numerical method addre…