Symmetry analysis and invariant solutions of the multipoint infinite systems describing turbulence

22nd Fluid Mechanics Conference

物理学;力学

Waclawczyk, M.^1 ; Oberlack, M.^2

Institute of Geophysics, Faculty of Physics, University of Warsaw, Pasteura 7, Warsaw

02-093, Poland^1

Department of Mechanical Engineering, TU Darmstadt, Otto-Berndt Str. 2, Darmstadt

64287, Germany^2

关键词: Functional equation;    Infinite system;    Invariant solutions;    Lie symmetries;    Symmetry analysis;    Turbulence statistics;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/760/1/012038/pdf
DOI  :  10.1088/1742-6596/760/1/012038

学科分类：力学，机械学

来源: IOP

【 摘 要 】

The present work concerns multipoint description of turbulence in terms of the probability density functions (pdf's) and the characteristic Hopf functional. Lie symmetries of infinite systems of equations for the pdf's and the Hopf functional equation are discussed. Based on symmetries, invariant solutions for turbulence statistics are calculated.