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

… Such an extended lattice Boltzmann kinetic model or discrete Boltzmann model (DBM)
should follow more strictly some necessary kinetic moment relations of the discrete equilibrium …

… for constructing discrete Boltzmann model for non-equilibrium flows based on the Shakhov
model is … In addition, the measurement of non-equilibrium effects is further developed and the …

… , 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-…

… 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
model… Via Chapman–Enskog analysis, the local equilibrium and nonequilibrium velocity …

… The physical gradients are smoothed and the nonequilibrium area … , because the
nonequilibrium effects attenuate and widen the … relative to the nonequilibrium effect. To investigate …

… nonequilibrium effects can be obtained and quantified handily in the evolution of the discrete
Boltzmann … Several well-known benchmarks are adopted to validate the model, including …