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Changes to the KPP Vertical Mixing Parameterization

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1 Changes to the KPP Vertical Mixing Parameterization
G. Danabasoglu and W. G. Large Shallowness of summer-time boundary/mixed layer depths Presence of some grid-point noise in boundary /mixed layer depths, particularly in the Tropics General review of physics and numerics ENERGY INPUT AND DISSIPATION NOT CONSIDERED

2 TEST BED x1 POP forced with QSCAT, NCEP, ISCCP, and MSU / Xie-Arkin data sets for July 1999 – December 2001 The initial conditions are for July 1, 1999, obtained from a 42-year forcing cycle experiment. The results shown are from the last years of 2.5-year experiments. Short-wave heat flux has a diurnal cycle. For simplicity, the internal wave mixing is the only interior mixing allowed.

3 BOUNDARY LAYER DEPTH = HBLT = 0.3
This value of the critical bulk Richardson number is based on some sensitivity studies where comparisons with observed ocean responses during the Ocean Storm Experiment were made. The vertical grid resolution was 1 m. Large et al. (1994)

4 CRITICAL BULK RICHARDSON NUMBER
Large et al. (1994) suggests that the critical bulk Ri should somewhat increase as the vertical resolution degrades. Obtained by matching 1-m vertical resolution results

5 = 1.8 This value is chosen to satisfy the empirical rule of pure convection, i.e. the ratio of entrainment flux to surface buoyancy flux should be 0.2. Large et al. (1994) Obtained by satisfying the above rule No dependence on resolution

6 BOUNDARY LAYER DEPTH CONTROL Ri and Cv MODS Jan July

7 TURBULENT VELOCITY SCALES
Figure 2 of Large et al. (1994)

8 QUADRATIC INTERPOLATION

9 BOUNDARY LAYER DEPTH CONTROL Quadratic Interpolation MODS Jan July

10 SUMMARY OF CHANGES Diurnal cycle in short-wave heat flux
Critical bulk Ri as a function of the vertical resolution Cv as a function of N Turbulent velocity scale limit in stable regions Quadratic interpolation for HBLT Use 4-pt maximum instead of 4-pt average for resolved shear Modify usage of N in turbulent shear computation Consider interior convection after HBLT is determined Correct the Ekman and Monin-Obukhov depth limit computations

11 BOUNDARY LAYER DEPTH CONTROL All Physics MODS Jan July

12 SUMMARY OF CHANGES Diurnal cycle in short-wave heat flux
Critical bulk Ri as a function of the vertical resolution Cv as a function of N Turbulent velocity scale limit in stable regions Quadratic interpolation for HBLT Use 4-pt maximum instead of 4-pt average for resolved shear Modify usage of N in turbulent shear computation Consider interior convection after HBLT is determined Correct the Ekman and Monin-Obukhov depth limit computations Use OLDTIME level data in KPP to eliminate temporal noise Use a Gaussian filter to smooth HBLT

13 BOUNDARY LAYER DEPTH CONTROL All Physics + Numerical MODS Jan July

14 MIXED LAYER DEPTH CONTROL All Physics + Numerical MODS Jan July

15 EQUATORIAL TEMPERATURE
LEVITUS CONTROL All MODS Jan July

16 EQUATORIAL TEMPERATURE
LEVITUS CONTROL All MODS PMEL


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