37 citations · 72 across the 4 of their papers we have counts for
6 papers · 1 filter
Comparison of the Symmetric Hyperbolic Thermodynamically Compatible framework with Hamiltonian mechanics of binary mixtures
Martin Sykora, Michal Pavelka, Ilya Peshkov +3
How to properly describe continuum thermodynamics of binary mixtures where each constituent has its own momentum? The Symmetric Hyperbolic Thermodynamically Consistent (SHTC) frame…
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 structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics
Walter Boscheri, Michael Dumbser, Matteo Ioriatti +2
We propose a new pressure-based structure-preserving (SP) and quasi asymptotic preserving (AP) staggered semi-implicit finite volume scheme for the unified first order hyperbolic f…
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…
Continuum mechanics with torsion
Ilya Peshkov, Evgeniy Romenski, Michael Dumbser
This paper is an attempt to introduce methods and concepts of the Riemann-Cartan geometry largely used in such physical theories as general relativity, gauge theories, solid dynami…
Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity
Ilya Peshkov, Walter Boscheri, Raphaël Loubère +2
The aim of this paper is to compare a hyperelastic with a hypoelastic model describing the Eulerian dynamics of solids in the context of non-linear elastoplastic deformations. Spec…