中文摘要：

构建一个适用于爆轰过程模拟的离散Boltzmann模型.该模型由一个离散Boltzmann方程和一个唯象反应率方程构成;在物理建模上,它等效于一个传统Navier-Stokes模型外加一个关于热动非平衡行为的粗粒化模型.与传统流体模型相比,它能够提供更多的动力学和动理学信息.该模型采用16个离散速度,相比于使用33个离散速度的模型具有更高的运算效率,模型中引入了额外自由度,通过调节额外自由度的数目,可以模拟各种不同比热比的爆轰.采用爆轰问题中的一些经典算例对所建立的模型进行数值验证.结果表明：该模型不仅对传统流体模型所能模拟的爆轰问题有效,而且能够用于一些传统流体模型不能描述的非平衡过程,有利于对爆轰问题的深入研究.

英文摘要：

A discrete Bohzmann model is presented for detonation simulation. It consists of a discrete Bohzmann equation and a phenomenological reaction rate equation. In physical modeling, it is equivalent to a traditional Navier-Stokes model and a coarse grained model for thermodynamic non-equilibrium behavior. Compared with traditional fluid model, it provides more dynamic information and more kinetic information as well. The model adopts 16 discrete velocities, which has high computational efficiency. Additional degrees of freedom are introduced so that it can be used to simulate various detonations with different specific heat ratios. Several classic examples of detonation are simulated to validate the model. It shows that besides detonation dynamics where traditional hydrodynamic model works, it can also be used to study non-equilibrium effects where traditional fluid model does not work.