Time-periodic inertial range dynamics

Abstract

We present an unstable periodic orbit in large eddy simulation of an incompressible fluid in a periodic box subject to a constant body force. The width of the inertial range of spatial scales, on which this simulation models high-Reynolds-number turbulence, is about three quarters of a decade, and a significant $-5/3$ scaling range is observed. We identify events of intense energy transfer across spatial scales and relate them to vortical dynamics.

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Cited by in corpus (7)

• Capturing Turbulent Dynamics and Statistics in Experiments with Unstable Periodic Orbits
• Sensitivity of long periodic orbits of chaotic systems
• Multi-scale invariant solutions in plane Couette flow: a reduced-order model approach
• Minimal model of quasi-cyclic behaviour in turbulence driven by Taylor--Green forcing
• Adjoint-based variational method for constructing periodic orbits of high-dimensional chaotic systems
• Multi-scale steady solution for Rayleigh-Bénard convection
• Bifurcation structure of unstable periodic orbits in plane Couette flow with the Smagorinsky model