85 citations · 136 across the 4 of their papers we have counts for
7 papers
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…
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…
A new causal general relativistic formulation for dissipative continuum fluid and solid mechanics and its solution with high-order ADER schemes
Ilya Peshkov, Evgeniy Romenski, Francesco Fambri +1
We present a unified causal general relativistic formulation of dissipative and non-dissipative continuum mechanics. The presented theory is the first general relativistic theory t…
Modeling wavefields in saturated elastic porous media based on thermodynamically compatible system theory for multiphase mixtures
Evgeniy Romenski, Galina Reshetova, Ilya Peshkov +1
A two-phase model and its application to wavefields numerical simulation are discussed in the context of modeling of compressible fluid flows in elastic porous media. The derivatio…
A new continuum model for general relativistic viscous heat-conducting media
Evgeniy Romenski, Ilya Peshkov, Michael Dumbser +1
The lack of formulation of macroscopic equations for irreversible dynamics of viscous heat-conducting media compatible with the causality principle of Einstein's Special Relativity…