激波诱导燃烧流场模拟的无网格算法  

MESHLESS METHOD FOR NUMERICAL SIMULATION OF SHOCK-INDUCED COMBUSTION

作　　者：吴伟[1] 许厚谦[1] 

机构地区：[1]南京理工大学能源与动力工程学院,南京210094

出　　处：《力学与实践》2013年第6期19-23,共5页Mechanics in Engineering

摘　　要：发展了基于无网格方法的激波诱导燃烧流场数值模拟算法.该算法采用二维多组分Euler方程,在点云离散的基础上采用曲面逼近计算空间导数,引入多组分HLLC(Harten--Lax--van Leer--contact)格式计算无黏通量,运用四阶Runge--Kutta法进行时间显式推进,化学动力学采用有限速率反应模型.对不同预混气体中的激波诱导燃烧流场进行了数值模拟,结果同相关文献吻合较好,验证了算法的正确性.A completely new meshless method for the numerical simulation of the shock-induced combustion is developed in this paper. The two-dimensional Euler equations are employed. The spatial derivatives are approximated by using a local least-squares curve fitting based on clouds. The inviscid flux is calculated by a multi-component HLLC scheme. The four-stage Runge-Kutta algorithm is used to advance the integration in time. The chemical kinetics is modeled using a finite rate reaction model. The flow fields of the shock-induced combustion in different mixtures are simulated for validation. The results agree well with the numerical results of mesh-based methods, which indicates that the method is reliable in the numerical simulation of flow fields of shock-induced combustion.

关 键 词：无网格 多组分HLLC(Harten-Lax-van-Leer-contact)格式 有限速率模型 激波诱导燃烧 

分 类 号：O351.2[理学—流体力学]