  The kinetic modeling and simulation of reactive flows, especially for those
with detonation, are further investigated. From the theoretical side, a new set
of hydrodynamic equations are deduced, where the viscous stress tensor and heat
flux are replaced by two non-equilibrium quantities that have been defined in
our previous work. The two non-equilibrium quantities are referred to as
NonOrganized Momentum Flux (NOMF) and Non-Organized Energy Flux (NOEF),
respectively, here. The numerical results of viscous stress (heat flux) have a
good agreement with those of NOMF (NOEF) near equilibrium state. Around sharp
interfaces, the values of NOMF (NOEF) deviate reasonably from those of viscous
stress (heat flux). Based on this hydrodynamic model, the relations between the
two non-equilibrium quantities and entropy productions are established. Based
on the discrete Boltzmann model, four kinds of detonation phenomena with
different reaction rates, including Negative Temperature Coefficient (NTC)
regime, are simulated and investigated. The differences of the four kinds of
detonations are studied from three aspects: hydrodynamic quantities,
non-equilibrium quantities and entropy productions.
