Abstract

A review of investigations dealing with mathematical and numerical modeling of shock wave and detonation processes in gas suspensions of fine-grained inert or reacting particles is presented. The basic models of mechanics of continuous media that describe dilute and dense gas suspensions are mentioned and analyzed. Models with internal pressure in the particle phase, including those with the description of particle collision dynamics within the framework of molecular-kinetic approaches, are identified. Problems of interphase interaction and equations of state are discussed. Various issues of the qualitative analysis of the characteristic properties of models and theoretical analysis of shock wave structures (conditions on shock waves, classification of shock waves and combined discontinuities) are outlined. Numerical algorithms most widely used for simulations of shock wave processes are mentioned. Some results of numerical studies of the processes of detonation initiation and propagation, interaction of shock waves with clouds and layers of particles, and dispersion of the layers are noted.

中文翻译：

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稀和浓气体悬浮液中的动态过程建模（综述）

摘要

综述了对细粒惰性或反应粒子的气体悬浮液中冲击波和爆震过程的数学和数值建模的研究。提到并分析了描述稀稠气体悬浮液的连续介质力学基本模型。确定了粒子相中具有内部压力的模型，包括在分子动力学方法框架内描述粒子碰撞动力学的模型。讨论了相间相互作用和状态方程的问题。概述了模型特性的定性分析和冲击波结构的理论分析（冲击波条件、冲击波分类和组合不连续性）的各种问题。提到了最广泛用于模拟冲击波过程的数值算法。记录了对爆炸引发和传播、冲击波与云和粒子层的相互作用以及层的扩散过程的数值研究的一些结果。