A discrete Boltzmann method (DBM) is proposed for simulating unsteady detonation with nonequilibrium effects. The chemical reaction is naturally coupled with the fluid flow via the reaction term. The chemical reaction is expressed by a two-step reaction scheme. Both the discrete equilibrium distribution function and the chemical term in the velocity space are transformed from the kinetic space with a matrix inversion method. The DBM could recover the reactive Navier-Stokes equations in the hydrodynamic limit, while it has the capability of measuring detailed thermodynamic non-equilibrium effects. Moreover, this model is employed to study the dynamic process of the unsteady non-equilibrium detonation. The reaction zone, transverse shock wave, leading shock front, Mach stem, and triple point are clearly captured by using non-equilibrium manifestations. In addition, the non-equilibrium effect is stronger for larger chemical heat release. It displays periodic oscillations as the time goes on. Its oscillation amplitude decreases with decreasing chemical heat release, and approaches zero when the chemical heat is small enough. The transverse wave and cellular pattern exist for large chemical heat, but disappear for small chemical heat release.

International Seminar on Fire and Explosion Hazards (9; 2019; Saint Petersburg, Russia). Proceedings of the Ninth International Seminar on Fire and Explosion Hazards [Электронный ресурс]: 21-26 April 2019, Saint Petersburg, Russia. Vol. 1 / Peter the Great St. Petersburg Polytechnic University, Autonomous Non-Profit Organization "Fire and Explosion Safety", Gefest Holding Ltd ; [edited by A. Snegirev [et al.]. — Электрон. текстовые дан. (1 файл : 118 Мб). — Saint Petersburg, 2019. — Загл. с титул. экрана. — Свободный доступ из сети Интернет (чтение, печать, копирование). — Adobe Acrobat Reader 7.0. — <URL:http://elib.spbstu.ru/dl/2/k19-45.pdf>. — <URL:http://doi.org/10.18720/SPBPU/2/k19-45>.