Global expressions for high-order structure functions in Burgers turbulence

作     者：Jin-Han Xie 谢金翰

作者机构：Department of Mechanics and Engineering Science at College of Engineering and State Key Laboratory for Turbulence and Complex SystemsPeking UniversityBeijing 100871China 

出 版 物：《Acta Mechanica Sinica》 (力学学报（英文版）)

年 卷 期：2022年第38卷第5期

页      面：20-26,I0001页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.92052102) 

主　　题：Structure function Burgers turbulence Turbulence theory 

摘      要：Since the famous work by Kolmogorov on incompressible turbulence,the structure-function theory has been a key foundation of modern turbulence *** to the simplicity of Burgers turbulence,structure functions are calculated to arbitrary orders,which provides numerous implications for other compressible turbulent *** present the derivation of exact forcing-scale resolving expressions for high-order structure functions of the burgers *** with the previous theories,where the structure functions are calculated in the inertial range based on the statistics of shocks,our expressions link high-order structure functions in different orders without extra information on the flow structure and are valid beyond the inertial range,therefore they are easily checked by numerical simulations.