汇聚激波诱导下可燃界面的不稳定性现象涉及到复杂的多尺度演化和多种物理机制耦合等问题，具有重要的学术价值，对惯性约束核聚变、湍流爆轰以及超新星爆发等前沿问题的发展具有重要价值。本申请提出利用数值方法模拟汇聚激波作用下带燃烧的Richtmyer-Meshkov（RM）不稳定性现象，研究复杂现象中的多种物理机制的耦合。基于项目组自主开发的时/空守恒型CE/SE求解器对带有化学反应的界面不稳定性问题进行模拟，对数值方法进行改进和优化，获得复杂流场的准确描述。项目将从数值方法的改进为出发点，添加单步、基元化学反应模型及湍流模型，完善计算程序对于复杂流场的模拟能力。探索基础物理机制之间的耦合，厘清汇聚、燃烧、失稳等因素之间的相互影响，提出定量的判别准则。从基础机理的相似性角度研究带燃烧的汇聚RM不稳定性问题与ICF和超新星爆发等前沿科学问题之间的联系，提出相似判别准则，探索具有实际指导作用的物理模型。

Reactive flow instability under the impact of convergent shock wave involves complex multi-scale physical mechanisms. This physical problem occurs widely in the inertial confinement fusion (ICF), supersonic combustion and supernova explosions. A numerical study on the reactive Richtmyer-Meshkov (RM) instability under convergent shock wave is proposed. By further developing the in-house conservative element/solution element (CE/SE) numerical code, reactive flow instability will be simulated, and the effects of important physical parameters will be investigated in detail numerically. The inter-relations among the flow instability, combustion and convergent shock are going to be discussed thoroughly, aiming to make a deep understanding of the fundamental mechanisms. The project initiates with the numerical method development. One-step and detailed chemical reactions as well as a turbulent model are going to be added into the present numerical work frame in order to further promote the simulation capacity. It is expected to explore the coupling of basic physical mechanisms, clarify the interactions of the convergence, combustion, and instability mechanisms, and propose a relevant quantitative physical law. A similarity law will be proposed to discover the correlations among the reactive convergent RM instability, the ICF and supernova explosions and to create practical physical model for engineering applications.