Large-Eddy Simulation of Longitudinal Stationary Vortices

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Date
1994-07-01
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AIP Publishing
Abstract

The response of longitudinal stationary vortices when subjected to random perturbations is investigated using temporal large-eddy simulation. Simulations are obtained for high Reynolds numbers and at a low subsonic Mach number. The subgrid-scale stress tensor is modeled using the dynamic eddy-viscosity model. The generation of large-scale structures due to centrifugal instability and their subsequent breakdown to turbulence is studied. The following events are observed. Initially, ring-shaped structures appear around the vortex core. These structures are counter-rotating vortices similar to the donut-shaped structures observed in a Taylor-Couette flow between rotating cylinders. These structures subsequently interact with the vortex core resulting in a rapid decay of the vortex. The turbulent kinetic energy increases rapidly until saturation, and then a period of slow decay prevails. During the period of maximum turbulent kinetic energy, the normalized mean circulation profile exhibits a logarithmic region, in agreement with the universal inner profile of Hoffman and Joubert [J. Fluid Mech. 16, 395 (1963)].

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Keywords
Turbulent trailing vortex, Model, Flow, Computation, Swirl
Citation
Sreedhar, M.; Ragab, S., "large-eddy simulation of longitudinal stationary vortices," Phys. Fluids 6, 2501 (1994); http://dx.doi.org/10.1063/1.868436