A discrete Boltzmann model (DBM) is developed to investigate the hydrodynamic and
thermodynamic non-equilibrium (TNE) effects … inspection of various non-equilibrium observables. …

… and ignore a variety of thermodynamic nonequilibrium effects included in the Boltzmann
equation. Recently, as a variant of the standard LBM, the discrete Boltzmann model (DBM) …

… in predicting the non-equilibrium flow even in transition flow regime. In addition, the
measurement of non-equilibrium effects is further developed and the non-equilibrium strength D n ∗ …

… , the fundamental information of a specific non-equilibrium state and the non-equilibrium
effects of flow can be extracted. The fundamental characteristic quantities are written as follows: …

… hydrodynamics models consider non-equilibrium effects through nonlinear constitutive
relations. Correspondingly, high-order kinetic models consider non-equilibrium effects via higher-…

… and non-equilibrium aspects of Boltzmann and hydrodynamic equations. Under equilibrium,
the Boltzmann … In non-equilibrium scenario, both Boltzmann and Navier–Stokes equations …

… discrete Boltzmann model (DBM) is proposed for multicomponent mixtures, where compressible,
hydrodynamic, and thermodynamic nonequilibrium effects … the nonequilibrium effects. …

… Compared to standard lattice Boltzmann models, the DBM presents … nonequilibrium effects
that are essential yet long-neglected by traditional fluid dynamics. Apart from nonequilibrium …

… nonequilibrium effects around the shock wave are investigated using a discrete Boltzmann
… Via Chapman–Enskog analysis, the local equilibrium and nonequilibrium velocity distribution …

… Because the relaxation time is a key parameter relative to the nonequilibrium effect. To …
To further demonstrate this conclusion, we conduct a simulation with all nonequilibrium terms …