This contribution presents a comprehensive overview of lattice Boltzmann models for non-
ideal fluids, covering both theoretical concepts at both kinetic and macroscopic levels and …

GENERIC is an abstract equation collecting the mathematical structure guaranteeing
agreement of its solutions with results of certain basic experimental observations …

Thermodynamics is continuously spreading in the engineering practice, which is especially
true for non-equilibrium models in continuum problems. Although there are concepts and …

Continuum mechanics can be formulated in the Lagrangian frame (addressing motion of
individual continuum particles) or in the Eulerian frame (addressing evolution of fields in an …

Applying simultaneously the methodology of non-equilibrium thermodynamics with internal
variables (NET-IV) and the framework of General Equation for the Non-Equilibrium …

Geometrical and algebraic aspects of the Hamiltonian realizations of the Euler's fluid and the
Vlasov's plasma are investigated. A purely geometric pathway (involving complete lifts and …

Multiscale thermodynamics is a theory of the relations among the levels of investigation of
complex systems. It includes the classical equilibrium thermodynamics as a special case …

ABSTRACT The General Equation for Non-Equilibrium Reversible–Irreversible Coupling
(GENERIC) provides the structure of mesoscopic multiscale dynamics that guarantees the …

A multiscale theory of interacting continuum mechanics and thermodynamics of mixtures of
fluids, electrodynamics, polarization, and magnetization is proposed. The mechanical …

Reduction of a mesoscopic dynamical theory to equilibrium thermodynamics brings to the
latter theory the fundamental thermodynamic relation (ie entropy as a function of the …