85 citations · 214 across the 15 of their papers we have counts for
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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…
A well-balanced discontinuous Galerkin method for the first--order Z4 formulation of the Einstein--Euler system
Michael Dumbser, Olindo Zanotti, Elena Gaburro +1
In this paper we develop a new well-balanced discontinuous Galerkin (DG) finite element scheme with subcell finite volume (FV) limiter for the numerical solution of the Einstein--E…
An implicit-explicit solver for a two-fluid single-temperature model
Mária Lukáčová-Medvid'ová, Ilya Peshkov, Andrea Thomann
We present an implicit-explicit finite volume scheme for two-fluid single-temperature flow in all Mach number regimes which is based on a symmetric hyperbolic thermodynamically com…
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…