基于CSP理论修正的准稳态假设

论文在处理刚性问题的计算奇异摄动方法的理论基础上，提出了一种封闭简化燃烧化学反应机理方程的新模型－－修正的准稳态假设。通过一个简单的算例，比较了论文中方法和传统准稳态假设方法对计算的影响，并分析了其特点。

Modified QSSA Based on CSP Theory

In this paper the basic theory of computational si ng ular perturbation (CSP) is briefly reviewed and new math ematical model, modifie d QSSA (quasi steady state assumption), to calculate the concentrations of the quasi steady state species in reduced chemical mechanisms. The modified QSSA reflects the concept of CSP reaction mode. It assumes that t he reaction rates of quasi steady state species are dominated by the fast reac tion modes and the time scales of fast modes are much smaller than those of slow modes and the reaction rates of QSS species decay to numbers determined by the slow reaction modes while QSSA assumes they decay to zero. A very simple initial problem consisting of five species and three elementary reactions were calculat ed with QSSA, modified QSSA and detailed chemistry respectively. The computation al results show that the modified QSSA is more accurate than QSSA. Compared with QSSA, the computation amount of modified QSSA is larger and how to applied it t o practical problems efficiently should be further studied.