84 citations · 357 across the 41 of their papers we have counts for
7 papers · 1 filter
Multiscale heat transport with inertia and thermal vortices
Michal Pavelka, Liliana Restuccia, David Jou
In this paper, we present a Hamiltonian and thermodynamic theory of heat transport on various levels of description. Transport of heat is formulated within kinetic theory of polari…
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…
A multiscale thermodynamic generalization of Maxwell-Stefan diffusion equations and of the dusty gas model
Petr Vágner, Michal Pavelka, Jürgen Fuhrmann +1
Despite the fact that the theory of mixtures has been part of non-equilibrium thermodynamics and engineering for a long time, it is far from complete. While it is well formulated a…
On the role of geometry in statistical mechanics and thermodynamics II: Thermodynamic perspective
Ogul Esen, Miroslav Grmela, Michal Pavelka
The General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC) provides structure of mesoscopic multiscale dynamics that guarantees emergence of equilibrium st…
On the role of geometry in statistical mechanics and thermodynamics I: Geometric perspective
Ogul Esen, Miroslav Grmela, Michal Pavelka
This paper contains a fully geometric formulation of the General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC). Although GENERIC, which is the sum of Hami…
Globally time-reversible fluid simulations with smoothed particle hydrodynamics
Ondrej Kincl, Michal Pavelka
This paper describes an energy-preserving and globally time-reversible code for weakly compressible smoothed particle hydrodynamics (SPH). We do not add any additional dynamics to…
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…