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Exploration of Lagrangian Stochastic Models in Simplified Shear Model Flows
Peter R. Kramer and Emilio Castronovo
Rensselaer Polytechnic Institute
kramep@rpi.edu(Abstract received 02/08/2005 for session B)
ABSTRACT
Lagrangian Stochastic Models (LSMs) are being actively developed as computationally tractable schemes to predict and analyze oceanic transport of immersed substances, without full resolution of the oceanic turbulence. In order to better understand the capacity of LSMs to model certain transport features, such as subdiffusion and superdiffusion, we analyze them (including randomized versions) in the context of relatively simple anisotropic shear flow models including a mean flow, low-frequency variability, and a turbulent component. The simplified geometry of our mathematical model flows permits us to study in particular how the modeling of anomalous diffusion through LSMs affects transport predictions through the interaction between the resolved (low-frequency) and unresolved (high-frequency) scales of the flow.
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2005 LAPCOD Meeting, Lerici, Italy, June 13-17, 2005