Xu, AG (reprint author), Inst Appl Phys & Computat Math, Natl Key Lab Computat Phys, POB 8009-26, Beijing 100088, Peoples R China.
; Li Ying-Jun] China Univ Min & Technol, State Key Lab GeoMech & Deep Underground Engn, Beijing 100083, Peoples R China
; [Xu Ai-Guo
; Zhang Guang-Cai] Inst Appl Phys & Computat Math, Natl Key Lab Computat Phys, Beijing 100088, Peoples R China
; [Xu Ai-Guo] Peking Univ, Coll Engn, Ctr Appl Phys & Technol, MOE Key Ctr High Energy Dens Phys Simulat, Beijing 100871, Peoples R China
; [Xu Ai-Guo
; Zhang Guang-Cai] Beijing Inst Technol, State Key Lab Explos Sci & Technol, Beijing 100081, Peoples R China
; [Zhang Guang-Cai] Chinese Acad Sci, Inst Theoret Phys, State Key Lab Theoret Phys, Beijing 100190, Peoples R China
A novel polar coordinate lattice Boltzmann kinetic model for detonation phenomena is presented and applied to investigate typical implosion and explosion processes. In this model, the change of discrete distribution function due to local chemical reaction is dynamically coupled into the modified lattice Boltzmann equation which could recover the Navier Stokes equations, including contribution of chemical reaction, via the Chapman-Enskog expansion. For the numerical investigations, the main focuses are the none quilibrium behaviors in these processes. The system at the disc center is always in its thermodynamic equilibrium in the highly symmetric case. The internal kinetic energies in different degrees of freedom around the detonation front do not coincide. The dependence of the reaction rate on the pressure, influences of the shock strength and reaction rate on the departure amplitude of the system from its local thermodynamic equilibrium are probed.