Data obtained in recent direct numerical simulations (Lee et al.) of statistically one-dimensional and planar, lean complex-chemistry hydrogen-air flames characterized by three different Karlovitz numbers $Ka$ ranging from 3 to 33 are further analyzed in order to explore local characteristics and structure of (i) extreme points characterized by the peak (over the computational domain) Fuel Consumption Rate (FCR) or Heat Release Rate (HRR) and (ii) leading points that are also characterized by a high FCR or HRR, but advance furthest into unburned reactants. Results show that, on the one hand, common characteristics of flame perturbations (curvature, strain and stretch rates, displacement speed) fluctuate significantly in the extreme or leading, FCR or HRR points and are different in different flames. Moreover, other two-point local quantities such as the local gradients of combustion progress variables or species (e.g., the radical H) mass fractions are different in different flames. Therefore, a common simple configuration of a perturbed laminar flame cannot be used as a catchall model of the entire local structure of zones surrounding the discussed points at various $Ka$. On the other hand, single-point local characteristics (temperature, species mass fractions, rates of their production) of the FCR extreme points are comparable in all three turbulent flames and in the critically strained planar laminar flame. In particular, the FCRs in the extreme points fluctuate weakly and are approximately equal to each other and to the peak FCR in the critically strained laminar flame. The latter finding implies that (i) the maximum FCR evaluated in the critically strained laminar flame could be used to characterize, in a first approximation, the local FCR in the extreme or leading points in turbulent flames, thus, supporting the leading point concept, and (ii) almost the same extreme FCR can be reached in substantially different local burning structures.

在最近的直接数值模拟（Lee 等人）中获得的数据是由三个不同的卡洛维茨数表征的一维和平面、贫复杂化学氢-空气火焰的统计数据 $钾\mathrm{一种}$进一步分析从 3 到 33 的局部特征和结构，以探索（i）以峰值（在计算域上）燃料消耗率 (FCR) 或放热率 (HRR) 为特征的极值点和 (ii) 领先点也具有高 FCR 或 HRR，但最远进入未燃烧的反应物。结果表明，一方面，火焰扰动的共同特征（曲率、应变和拉伸率、位移速度）在极端或领先、FCR或HRR点波动显着，并且在不同的火焰中是不同的。此外，其他两点局部量，例如燃烧进程变量或物种（例如自由基 H）质量分数的局部梯度，在不同的火焰中是不同的。所以，$钾\mathrm{一种}$. 另一方面，FCR 极值点的单点局部特征（温度、物种质量分数、它们的产生速率）在所有三种湍流火焰和临界应变平面层流火焰中都具有可比性。特别是，极值点的 FCR 波动很小，并且彼此近似相等，并且近似等于临界应变层流火焰中的峰值 FCR。后一个发现意味着 (i) 在临界应变层流火焰中评估的最大 FCR 可用于在一级近似中表征湍流火焰中极端或领先点的局部 FCR，从而支持领先点概念， (ii) 在完全不同的局部燃烧结构中可以达到几乎相同的极端 FCR。