In this paper, a new analytical premixed flamelet pdf model based on a surrogate reaction source term, is verified with a planar laminar flame and validated using explicitly filtered direct numerical simulation (DNS) data of statistically planar turbulent premixed flames with single-step irreversible Arrhenius chemistry at two different Karlovitz numbers. It is shown that the modeled filtered reaction source term ${\bar{\omega }}_m$ is in excellent agreement with the one using the Arrhenius source term ${\bar{\omega }}_A$ for the planar laminar flame over a wide range of filter widths. The model performs also very well on the filtered turbulent DNS data provided that a flame normalized isosurface area ${\mathrm{\Xi }}_{iso}(c_{iso})$ is incorporated. Interestingly, the model performance improves with increasing filter widths. This makes it an ideal candidate for high-pressure premixed combustion where usually the filter widths ${\mathrm{\Delta }}_{LES}$ are much larger than the flame’s thermal reaction zone thickness ${\delta }_{th}$.

在本文中，基于代理层反应源项的新分析型预混小火焰pdf模型，用平面层流火焰进行了验证，并使用具有单步不可逆Arrhenius的统计平面湍流预混火焰的显式过滤直接数值模拟（DNS）数据进行了验证两个不同的卡洛维兹数的化学。结果表明，建模后的过滤反应源项${\stackrel{〜}{\omega }}_{米}$ 与使用Arrhenius来源术语的人非常一致 ${\stackrel{〜}{\omega }}_{\mathrm{一种}}$适用于各种过滤器宽度的平面层流火焰。该模型在过滤后的湍流DNS数据上的表现也非常好，只要火焰归一化等表面积${\mathrm{\Xi }}_{\mathrm{一世}sØ}（C_{\mathrm{一世}sØ}）$成立。有趣的是，模型性能随滤波器宽度的增加而提高。这使其成为高压预混燃烧的理想选择，在这种情况下，通常过滤器的宽度${\mathrm{\Delta }}_{\mathrm{大号}Ë\mathrm{小号}}$ 比火焰的热反应区厚度大得多 ${\delta }_{ŤH}$。