112 citations · 393 across the 15 of their papers we have counts for
4 papers · 2 filters
On numerical methods for hyperbolic PDE with curl involutions
Michael Dumbser, Simone Chiocchetti, Ilya Peshkov
In this paper we present three different numerical approaches to account for curl-type involution constraints in hyperbolic partial differential equations for continuum physics. Al…
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure
Maurizio Tavelli, Simone Chiocchetti, Evgeniy Romenski +2
We are concerned with the numerical solution of a unified first order hyperbolic formulation of continuum mechanics that originates from the work of Godunov, Peshkov and Romenski (…
A solver for stiff finite-rate relaxation in Baer-Nunziato two-phase flow models
Simone Chiocchetti, Christoph Müller
In this paper we present a technique for constructing robust solvers for stiff algebraic source terms, such as those typically used for modelling relaxation processes in hyperbolic…
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension
Simone Chiocchetti, Ilya Peshkov, Sergey Gavrilyuk +1
In this work, we introduce two novel reformulations of a recent weakly hyperbolic model for two-phase flow with surface tension. In the model, the tracking of phase boundaries is a…