  A one-dimensional discrete Boltzmann model for detonation simulation is
presented. Instead of numerical solving Navier-Stokes equations, this model
obtains the information of flow field through numerical solving specially
discretized Boltzmann equation. Several classical benchmarks including Sod
shock wave tube, Colella explosion problem, and one-dimensional
self-sustainable stable detonation are simulated to validate the new model.
Based on the new model, the influence of negative temperature coefficient of
reaction rate on detonation is further investigated. It is found that an
abnormal detonation with two wave heads periodically appears under negative
temperature coefficient condition. The causes of the abnormal detonation are
analyzed. One typical cycle of the periodic abnormal detonation and its
development process are discussed.
