Changeset 11123 for NEMO/trunk/doc/latex/NEMO/subfiles/chap_DIU.tex
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- 2019-06-17T14:22:27+02:00 (5 years ago)
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- NEMO/trunk/doc/latex/NEMO/subfiles
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NEMO/trunk/doc/latex/NEMO/subfiles/chap_DIU.tex
r10442 r11123 60 60 %=============================================================== 61 61 62 The warm layer is calculated using the model of \citet{ Takaya_al_JGR10} (TAKAYA10 model hereafter).62 The warm layer is calculated using the model of \citet{takaya.bidlot.ea_JGR10} (TAKAYA10 model hereafter). 63 63 This is a simple flux based model that is defined by the equations 64 64 \begin{align} … … 87 87 where $Q_{\rm{h}}$ is the sensible and latent heat flux, $Q_{\rm{lw}}$ is the long wave flux, 88 88 and $Q_{\rm{sol}}$ is the solar flux absorbed within the diurnal warm layer. 89 For $Q_{\rm{sol}}$ the 9 term representation of \citet{ Gentemann_al_JGR09} is used.89 For $Q_{\rm{sol}}$ the 9 term representation of \citet{gentemann.minnett.ea_JGR09} is used. 90 90 In equation \autoref{eq:ecmwf1} the function $f(L_a)=\max(1,L_a^{\frac{2}{3}})$, 91 91 where $L_a=0.3$\footnote{ … … 118 118 %=============================================================== 119 119 120 The cool skin is modelled using the framework of \citet{ Saunders_JAS82} who used a formulation of the near surface temperature difference based upon the heat flux and the friction velocity $u^*_{w}$.120 The cool skin is modelled using the framework of \citet{saunders_JAS67} who used a formulation of the near surface temperature difference based upon the heat flux and the friction velocity $u^*_{w}$. 121 121 As the cool skin is so thin (~1\,mm) we ignore the solar flux component to the heat flux and the Saunders equation for the cool skin temperature difference $\Delta T_{\rm{cs}}$ becomes 122 122 \[ … … 132 132 \end{equation} 133 133 where $\mu$ is the kinematic viscosity of sea water and $\lambda$ is a constant of proportionality which 134 \citet{ Saunders_JAS82} suggested varied between 5 and 10.134 \citet{saunders_JAS67} suggested varied between 5 and 10. 135 135 136 The value of $\lambda$ used in equation (\autoref{eq:sunders_thick_eqn}) is that of \citet{ Artale_al_JGR02},137 which is shown in \citet{ Tu_Tsuang_GRL05} to outperform a number of other parametrisations at136 The value of $\lambda$ used in equation (\autoref{eq:sunders_thick_eqn}) is that of \citet{artale.iudicone.ea_JGR02}, 137 which is shown in \citet{tu.tsuang_GRL05} to outperform a number of other parametrisations at 138 138 both low and high wind speeds. 139 139 Specifically,
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