2021/07/30 by Eiichi Sasaki, Sasaki, Eiichi, Genta KAWAHARA +3
Engineering · Environmental Science · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Plant Water Relations and Carbon Dynamics
paper · pdf · doi:10.48550/arxiv.2107.14407
openalex publication_date 2021/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In order to obtain insights into dynamics of developed plane Couette turbulence, this paper considers bifurcation structure of unstable periodic orbits (UPOs) in the large-eddy-simulation (LES) system with the Smagorinsky-type eddy viscosity model. Treating the Smagorinsky constant as a bifurcation parameter, we detect the bifurcation points connecting two known UPOs which were separately discovered in the Navier--Stokes system [G. Kawahara and S. Kida, J. Fluid Mech., 449, 291--300 (2001)]. At the moderately high Reynolds number, the LES UPO of the present study possesses the spanwise vortices which seem to be caused by the streak instability and appear in the central region of the channel. We note that to our knowledge a spanwise vortex has not been reported through the UPO analysis of wall flows. The stretched spanwise vortices of the LES UPO enhance transfer of the streamwise turbulent momentum as in developed near-wall turbulence.