One-Dimensional, Ocean Surface Layer Modeling: A Problem and a Solution

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Comparative Analysis of Four Second-Moment Turbulence Closure Models for the Oceanic Mixed Layer (2001, background): “There is however an ongoing discussion whether or not the proportionality factor used in (19) should be a constant or depending on stratification (see Mellor 2001).”
Vertical mixing schemes in the coastal ocean: Comparison of the level 2.5 Mellor‐Yamada scheme with an enhanced version of the K profile parameterization (2004, background): “Several authors have modified it or developed other second-order closure schemes which formulate the relationship between Richardson number and mixing such that turbulence can persist at a higher value [Kantha and Clayson, 1994; Burchard and Baumert, 1995; Mellor, 2001; Canuto et al., 2001].”
Wave Breaking and Ocean Surface Layer Thermal Response (2004, background): “Whereas the need to suppress kinetic energy in onedimensional models, certainly on climate time scales, is a robust finding in Mellor (2001), this paper may be a good excuse to expunge the Richardson number dissipation parameterization in the same paper lest the model produce too much cooling or…”