多相反应过程是工程物理中非常重要的研究对象，它的发生发展是一个复杂的流体动力学过程，探索这些过程多尺度结构的形成机理、实现其科学定量描述与定向调控已成为工程物理发展的瓶颈。本项目拟研究多相反应流的高精度数值方法，主要内容有：（1）研究混合单元的物理量的构造. 基于化学反应区反应物与产物的状态量与反应进程量的关系，构造混合物状态的物理量，包括混合物声速、温度、压力与能量等;（2）研究有限体积格式中的界面流通量.根据混合单元的物理量，求解多相流的黎曼问题，研究高效、稳定的迭代方法，构造单元界面的高精度数值通量;（3）研究高阶数值方法. 基于重构的单元物理量，利用加权的本性无震荡重构技术,构造一种高分辨率适用于多相反应流的高阶格式;（4）实际问题的数值模拟. 将研究成果应用于钝感炸药等问题的数值模拟，特别是JWL类状态方程的爆轰问题，为实际工程问题的设计提供可靠的支撑。

Multiphase reactive process is an important part in engineering physics, its production,development and propagation are complex procedure, because it involves material combination and complex of the equation of states, it is much difficult in numerical simulation, to explore its mechanics of multiscale structure and develop numerical simulation has become an urgent task. This project is devoted to study this problem, which concerns the following problems: 1.To construct the physical variables of the mixed cell. It is based on the equilibrium principle of thermal dynamic to get the physical variables such as sound speed, pressure tempurature and energy. 2.To construct accurate numerical flux of finite volume. This need to construct efficient solver by the new variables, especially the physical variables of mixing cells by efficient iteration,and thus get the fluxes on the boundary. 3.To study the high order numerical reconstruction. It will base on the cell variables to get high order interpolation with the essential non oscillating technics,which can be suitable to the numerical simulation of reactive flow.4.To study its application in detonation problem of the achievement in this project, typcially those problems contain complex equation of states, such as JWL and so on，and provide some useful support for practical engineering design.