Modeling High Frequency Modes for Accurate Low-Dimensional Galerkin Models

Imran Akhtar, Jeff Borggaard, Traian Illescu, Calvin Ribbens
2009 39th AIAA Fluid Dynamics Conference   unpublished
Dynamical systems ideas have recently gained increased momentum in the study of turbulent flows. The reason is that dynamical systems could be used to describe low dimensional structures, such as the coherent structures in the turbulent boundary layer, which play an important role in the dynamics of the flow. In this study, we perform threedimensional simulations of a turbulent flow past a circular cylinder at Re=1000. We record 1000 snapshots of the velocity field data for more than a dozen
more » ... ore than a dozen vortex shedding cycles. We compute the POD modes and project the Navier-Stokes equations onto these modes. In order to model higher frequency modes, we propose an LES-type approach and include an additional term in the reduced-order model for closure.
doi:10.2514/6.2009-4202 fatcat:sqhuetkrcjgrpat2ujihy4tz3m