标题： 扩展自相似性适用于Burgers方程的原因 显示英文标题

标题： Extended Self Similarity works for the Burgers equation and why

摘要： 扩展自相似性（ESS），一种显著扩展纳维-斯托克斯湍流中结构函数尺度范围的程序，从而允许更准确地确定间歇性指数，但从未被完全解释。 我们表明，ESS适用于高雷诺数下的巴格纳尔斯湍流，并给出了在红外和紫外端数值观察到的改进尺度的理论解释，总共获得约四分之三的十年跨度：从标准结构函数表示到ESS表示时，尺度的次主导贡献有所减少。 我们推测，对于三维不可压缩湍流也存在类似情况，并提出了捕捉尺度次主导贡献的方法。 显示英文摘要

摘要： Extended Self-Similarity (ESS), a procedure that remarkably extends the range of scaling for structure functions in Navier--Stokes turbulence and thus allows improved determination of intermittency exponents, has never been fully explained. We show that ESS applies to Burgers turbulence at high Reynolds numbers and we give the theoretical explanation of the numerically observed improved scaling at both the infrared and ultraviolet end, in total a gain of about three quarters of a decade: there is a reduction of subdominant contributions to scaling when going from the standard structure function representation to the ESS representation. We conjecture that a similar situation holds for three-dimensional incompressible turbulence and suggest ways of capturing subdominant contributions to scaling.