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We describe a mathematical approach based on homogenization theory toward representing the effects of mesoscale coherent structures, waves, and turbulence on large-scale transport in the ocean. We are developing a systematic parameterization strategy by building up deterministic and random subgrid-scale flow models in an increasing hierarchy of complexity, coupling the results from numerical simulations of cell problems with asymptotic analysis with respect to key nondimensional physical parameters such as Pecl\'{e}t and Strouhal numbers. |
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