计算奇异摄动法在燃烧反应系统简化中的应用

The Application of Computational Singular Perturbation in Reduced Combustion Reaction Systems

采用计算奇异摄动法构造典型燃烧反应系统的简化化学动力模型,基于燃烧反应控制方程寻找理想基向量,借助所得理想基向量实现快慢反应模态间的解耦,并给出参与性指数、原子团指针和重要性指数等关键参数,进而构造快模态状态方程和简化化学动力模型.典型CO CH4 Air混合燃烧反应系统的计算结果表明,由计算奇异摄动法得到的简化燃烧反应系统是原燃烧反应系统很好的近似.

A reduced chemical kinetics model for typical combustion reaction systems is derived by means of the Computational Singular Perturbation(CSP)method.The combustion reaction governing equations are employed to construct ideal basis vectors,with them the coupling between the fast mode and the slow mode is decoupled properly.Several significant parameters are defined,such as the participation index,the radical pointer,and the importance index.Then the state equations of the fast modes and the reduced chemical kinetics model are obtained.A typical mixed combustion reaction system of CO-CH_4-Air is calculated,and the results show that the reduced combustion reaction system obtained by CSP method approximates the original system well.