112 citations · 393 across the 15 of their papers we have counts for
6 papers · 1 filter
Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme
Ilya Peshkov, Michael Dumbser, Walter Boscheri +3
We discuss the applicability of a unified hyperbolic model for continuum fluid and solid mechanics to modeling non-Newtonian flows and in particular to modeling the stress-driven s…
A unified first order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones
Alice-Agnes Gabriel, Duo Li, Simone Chiocchetti +4
Earthquake fault zones are more complex, both geometrically and rheologically, than an idealised infinitely thin plane embedded in linear elastic material. To incorporate nonlinear…
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…