Application of Asymptotic Methods to Premixed Laminar Flameswith Full Chemical Kinetics

超级计算机的出现使我们更接近三维反应流的有效数值模型。然而，我们还没有做到这一点，特别是在那些化学动力学复杂、网格大小要求很高的现实情况下。只计算了简化的流动(特别是那些将动力学还原为一个反应的流动)。Williams提出的渐近方法的独到之处在于，他考虑了那些特殊的火焰流动，在这些流动中，代表方程中的某些项可以被消去或线性化，从而得到闭合形式的解。这些解决方案有两个目的：a.它们提供了对化学常数恰好在所需范围内的流动的物理洞察用于渐近表示。B.它们为更一般的数值程序提供了可靠的检验，这些程序最终将被未来更大的计算机用于更复杂的情况：通过在数值程序中输入与渐近解所考虑的相同的性质，结果应该是相同的。这种形式的校核在目前的大型流体力学数值程序中是必不可少的。

The advent of super computers has brought us closer to effective numerical models of three-dimensional reacting flows. However, we are not there yet, especially in those realistic situations where the chemical kinetics are complex, and the grid size requirements are many. Only simplified flows (especially those reducing kinetics to one reaction) have been calculated. The originality of the asymptotic method developed by Williams is that he considers those special flame flows where some terms in the representative equations can be eliminated or linearized, thus lending themselves to closed form solutions. These solutions serve two purposes: a. They give a physical insight into those flows where the chemical constants happen to be in the range required for asymptotic representation. b. They give a reliable check for the more general numerical programs which will be eventually used for more complicated cases by the larger computers of the future: by entering the same properties in the numerical program as were considered for the asymptotic solution, the results should be identical. This form of check has proved to be essential in current large fluid dynamics numerical programs.