Turbulence in the highly restricted dynamics of a closure at second order: comparison with DNS

1st Multiflow Summer Workshop

Constantinou, N.C.^1 ; Lozano-Durán, A.^2 ; Nikolaidis, M.-A.^1 ; Farrell, B.F.^3 ; Ioannou, P.J.^1 ; Jiménez, J.^2

University of Athens, Department of Physics, Panepistimiopolis, Zografos, 15784 Athens, Greece^1

School of Aeronautics, Universidad Politecnica de Madrid, Madrid 28040, Spain^2

Department of Earth and Planetary Sciences, Harvard University, Cambridge, MA 02138, United States^3

关键词: Reduced complexity modeling;    Second orders;    State dynamics;    Statistical mean;    Structural stabilities;    Structure and dynamics;    Theoretical methods;    Turbulent state;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/506/1/012004/pdf
DOI  :  10.1088/1742-6596/506/1/012004

来源: IOP

【 摘 要 】

S3T (Stochastic Structural Stability Theory) employs a closure at second order to obtain the dynamics of the statistical mean turbulent state. When S3T is implemented as a coupled set of equations for the streamwise mean and perturbation states, nonlinearity in the dynamics is restricted to interaction between the mean and perturbations. The S3T statistical mean state dynamics can be approximately implemented by similarly restricting the dynamics used in a direct numerical simulation (DNS) of the full Navier-Stokes equations (referred to as the NS system). Although this restricted nonlinear system (referred to as the RNL system) is greatly simplified in its dynamics in comparison to the associated NS, it nevertheless self-sustains a turbulent state in wall-bounded shear flow with structures and dynamics comparable to those observed in turbulence. Moreover, RNL turbulence can be analysed effectively using theoretical methods developed to study the closely related S3T system. In order to better understand RNL turbulence and its relation to NS turbulence, an extensive comparison is made of diagnostics of structure and dynamics in these systems. Although quantitative differences are found, the results show that turbulence in the RNL system closely parallels that in NS and suggest that the S3T/RNL system provides a promising reduced complexity model for studying turbulence in wall-bounded shear flows.