84 citations · 357 across the 41 of their papers we have counts for
10 papers · 1 filter
Approaches to conservative Smoothed Particle Hydrodynamics with entropy
Michal Pavelka, Vaclav Klika, Ondrej Kincl
Smoothed particle hydrodynamics (SPH) is typically used for barotropic fluids, where the pressure depends only on the local mass density. Here, we show how to incorporate the entro…
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…
Unified description of fluids and solids in Smoothed Particle Hydrodynamics
Ondřej Kincl, Ilya Peshkov, Michal Pavelka +1
Smoothed Particle Hydrodynamics (SPH) methods are advantageous in simulations of fluids in domains with free boundary. Special SPH methods have also been developed to simulate soli…
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…
On the determination of vortex ring vorticity using Lagrangian particles
O. Outrata, M. Pavelka, J. Hron +3
Particles are a widespread tool for obtaining information from fluid flows. When Eulerian data are unavailable, they may be employed to estimate flow fields or to identify coherent…
Statistical mechanics of Landau damping
Michal Pavelka, Vaclav Klika, Miroslav Grmela
Landau damping is the tendency of solutions to the Vlasov equation towards spatially homogeneous distribution functions. The distribution functions however approach the spatially h…
Non-convex dissipation potentials in multiscale non-equilibrium thermodynamics
Adam Janečka, Michal Pavelka
Reformulating constitutive relation in terms of gradient dynamics (being derivative of a dissipation potential) brings additional information on stability, metastability and instab…
Gradient dynamics and entropy production maximization
Adam Janečka, Michal Pavelka
Gradient dynamics describes irreversible evolution by means of a dissipation potential, which leads to several advantageous features like Maxwell--Onsager relations, distinguishing…
Braun-Le Chatelier principle in dissipative thermodynamics
Michal Pavelka, Miroslav Grmela
Braun-Le Chatelier principle is a fundamental result of equilibrium thermodynamics, showing how stable equilibrium states shift when external conditions are varied. The principle f…
Extra mass flux in fluid mechanics
Peter Ván, Michal Pavelka, Miroslav Grmela
The conditions of existence of extra mass flux in single component dissipative non-relativistic fluids are clarified. By considering Galilean invariance we show that if total mass…