化学反应流模拟的并行无网格方法

Parallel Gridless Method for Numerical Simulation of Reactive Flows

为进一步扩大无网格方法在复杂化学反应流场模拟中的计算规模，基于 MPI（Message Passing Interface）并行环境，发展了耦合有限速率反应模型的并行无网格算法，其流体动力学采用包含反应源项的二维轴对称 Euler方程建模，对流通量采用多组分 HLLC（Harten-Lax-van Leer-contact）格式计算，时间项运用4阶 Runge-Kutta 法显式推进。分别采用2~8个进程对激波诱导燃烧流场以及高速运动弹丸诱导斜爆轰流场进行了数值模拟，其结果同实验以及网格方法获得的结果吻合较好，并且具有较理想的并行效率，验证了其在复杂化学反应流大规模计算中应用的正确性和有效性。

To enlarge the computation scale of numerical simulation of complex reactive flows,the parallel gridless method coupled with finite rate chemical model,was studied based on Message Passing Interface.The fluid dynamics process was described by Euler equation with chemical source in 2-D axisymmetric coordinate,and the numerical method was based on least-square gridless method.The inviscid flux was calculated by multi-component HLLC （Harten-Lax-van Leer-Contact）scheme,and the multistage Runge-Kutta algorithm was used to advance the equations in time.The flows of shock-induced combustion and the supersonic proj ectile-induced oblique detonation were simulated using 2-8 processes respectively.The results show well agreement with the shadowgraph and other numerical results,and the parallel efficiency is accredited.It’s effective to employ this parallel gridless method in the simulation of supersonic reactive flows in engineering applications.