Department of Mechanical Engineering presents Fluids Seminar “How Symmetric is Symmetric Instability?” Dr. Eric Arobone Stanford University Tuesday, March 17, 2015 12:00 p.m. 3110 Etcheverry Hall ABSTRACT The pure symmetric instability is an instability of oceanic and atmospheric fronts that is independent of the along-front coordinate. Observational evidence suggests that along-front variability in vertical velocity and sea surface temperature anomaly is not negligible. We examine the three-dimensional evolution of frontal shear instabilities from both linear and non-linear perspectives. Linear stability analysis indicates that dominant growth rates are possible when modes are offsymmetric. Additionally, along-front variability results in misalignment of perturbations with respect to isopycnals, yielding strong fluxes across isopycnals. A suite of three-dimensional direct numerical simulations are performed exploring a horizontally homogeneous front with differing horizontal domain sizes. For sufficiently large domains, the front maintains along-front variation and a pure symmetric instability is not observed. Lastly, transition to turbulence is explored using large-scale simulations. Vorticity dynamics and bulk energetics illustrate important features of the transition. Hosted by: Prof. Philip Marcus, 6121 Etcheverry Hall, (510) 642-5942, [email protected]
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