Three-dimensional kinetic energy spectrum analysis of homogenous turbulence using Shake-The-Box LPT

Abstract

The kinetic energy spectrum of incompressible turbulence has been studied extensively using both DNS and experimental approaches. However, generating three-dimensional information of the turbulent energy spectra near the dissipation range is challenging. The aim of this contribution is to present an approach to obtain this information using Lagrangian Particle Tracking. The basis of the presented procedure is a measurement of fluid particle trajectories in homogenous turbulence at Reλ=370 in a van Karman flow between two counter rotating propellers1,2. The algorithm used for this purpose is Shake-The-Box (STB), with which it is possible to resolve even densely seeded flows and thus to obtain velocity and acceleration information simultaneously at small and large scales. The scattered particle trajectory data has been interpolated via the data assimilation scheme FlowFit to recover the continuous flow field using 3D-B-Splines and Navier-Stokes constraints.