activity
20132024
most citedHigh order ADER schemes for a unified first order hyperbolic formulation of continuum mechanics: viscous heat-conducting fluids and elastic solids

178 citations · 789 across the 23 of their papers we have counts for

collaborators

23 papers

math.NA2024★ 1 cited

A unified SHTC multiphase model of continuum mechanics

Davide Ferrari, Ilya Peshkov, Evgeniy Romenski +1

In this paper, we present a unified nonequilibrium model of continuum mechanics for compressible multiphase flows. The model, which is formulated within the framework of Symmetric…

physics.flu-dyn2023

Nonequilibrium model for compressible two-phase two-pressure flows with surface tension

Ilya Peshkov, Evgeniy Romenski, Michal Pavelka

In continuum thermodynamics, models of two-phase mixtures typically obey the condition of pressure equilibrium across interfaces between the phases. We propose a new non-equilibriu…

math.NA2023★ 37 cited

On thermodynamically compatible finite volume schemes for continuum mechanics

Saray Busto, Michael Dumbser, Ilya Peshkov +1

In this paper we present a new family of semi-discrete and fully-discrete finite volume schemes for overdetermined, hyperbolic and thermodynamically compatible PDE systems. In the…

gr-qc2022★ 3 cited

First-order hyperbolic formulation of the pure tetrad teleparallel gravity theory

Ilya Peshkov, Héctor Olivares, Evgeniy Romenski

This paper presents a derivation of a first-order reduction and 3+1 decomposition of the teleparallel equivalent of general relativity (TEGR) in the pure-tetrad formulation (no spi…

math.AP2022★ 24 cited

Exact and numerical solutions of the Riemann problem for a conservative model of compressible two-phase flows

Ferdinand Thein, Evgeniy Romenski, Michael Dumbser

In this work we study the solution of the Riemann problem for the barotropic version of the conservative symmetric hyperbolic and thermodynamically compatible (SHTC) two-phase flow…

physics.flu-dyn2022

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…