AI 中文总结
研究曲率效应下湍流火焰速度变化，通过构建三维周期性剪切流并引入马克斯坦曲率扩散率，发现能增加有效火焰速度，给出曲率平滑下单调减速反例，揭示局部曲率平滑增强大规模前沿传播的多维机制。
AI 中文摘要
曲率效应预计会使火焰前沿褶皱平滑，从而降低湍流火焰速度。我们构建了一个光滑的三维周期性剪切流，通过引入马克斯坦曲率扩散率，反而增加了水平集G方程预测的有效火焰速度。这是该模型中曲率平滑下单调减速的首个反例，与二维剪切流的严格单调性结果形成对比。该例子揭示了一种真正的多维机制，即局部曲率平滑可增强而非抑制大规模前沿传播。
英文摘要
Curvature effects are expected to smooth flame-front wrinkles and thereby reduce turbulent flame speed. We construct a smooth three-dimensional periodic shear flow for which introducing Markstein curvature diffusivity instead increases the effective flame speed predicted by the level-set G-equation. This gives the first counterexample, within this model, to monotone slowdown under curvature smoothing and contrasts with the rigorous monotonicity result for two-dimensional shear flows. The example reveals a genuinely multidimensional mechanism in which local curvature smoothing can enhance, rather than suppress, large-scale front propagation.
Comments14 pages, 1 figure
