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15 mins
Unstable periodic motion in large eddy simulation of homogeneous, isotropic turbulence
Lennaert van Veen, Yasuda Tatsuya, Susumu Goto, Genta Kawahara
Session: Instability and Transition 4
Session starts: Wednesday 26 August, 13:30
Presentation starts: 15:00
Room: Room A

Lennaert van Veen (University of Ontario Institute of Technology)
Yasuda Tatsuya (Osaka Univeristy)
Susumu Goto (University of Osaka, Japan)
Genta Kawahara (Osaka University)

We study unstable, time-periodic solutions in Large Eddy Simulation (LES) of Homogeneous, Isotropic Turbulence (HIT). The turbulence is forced at large spatial scales by an external body force which induces four vortex columns in a rectangular domain with periodic boundary conditions. The dissipation range dynamics is represented by the Smagorinsky model. Both the kinematic viscosity and the Smagorinsky constant are used as a homotopy parameters connecting steady, laminar flow to turbulent inertial range dynamics. We find several families of periodic solutions, some bifurcating from the steady flow and some filtered from more turbulent dynamics, and attempt to track these solutions to the limit of fully developed turbulence.