An oceanic mixed layer model capable of simulating cyclic states
Garwood, Roland W. Jr.
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A new one-dimensional bulk model of the mixed layer of the upper ocean is presented . An entrainment hypothesis dependent upon the relative distribution of turbulent energy between horizontal and vertical components is offered as a plausible mechanism for governing both entrainment and layer retreat. This model has two properties not previously demonstrated: (i) The fraction of wind-generated turbulent kinetic energy partitioned to potential energy increase by means of mixed layer deepening is dependent upon layer stability, H*=h/L, as measured by the ratio of mixed layer depth h to Obukhov length L. This results in a modulation of the mean entrainment rate by the diurnal heating and cooling cycle. (ii) Viscous dissipation is enhanced for increased values of Ro−1= hf/u*, where f is the Coriolis parameter and u*. the friction velocity for the water. This enables a cyclical steady state to occur over an annual period by limiting maximum layer depth. A nondimensional framework used to present the general solution also suggests a basis for model comparison and data analysis.
Reprinted from Journal of Physical Oceanography, Vol.7, No.3, May 1977.The article of record as published may be found at http://journals.ametsoc.org/doi/abs/10.1175/1520-0485%281977%29007%3C0455%3AAOMLMC%3E2.0.CO%3B2