Changeset 9407 for branches/2017/dev_merge_2017/DOC/tex_sub/chap_STO.tex
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- 2018-03-15T17:40:35+01:00 (6 years ago)
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branches/2017/dev_merge_2017/DOC/tex_sub/chap_STO.tex
r9393 r9407 5 5 % ================================================================ 6 6 \chapter{Stochastic Parametrization of EOS (STO)} 7 \label{ STO}7 \label{chap:STO} 8 8 9 9 Authors: P.-A. Bouttier … … 39 39 40 40 \section{Stochastic processes} 41 \label{ STO_the_details}41 \label{sec:STO_the_details} 42 42 43 43 The starting point of our implementation of stochastic parameterizations … … 104 104 \noindent 105 105 In this way, higher order processes can be easily generated recursively using 106 the same piece of code implementing Eq.~(\ref{eq:autoreg}),106 the same piece of code implementing (\autoref{eq:autoreg}), 107 107 and using succesively processes from order $0$ to~$n-1$ as~$w^{(i)}$. 108 The parameters in Eq.~(\ref{eq:ord2}) are computed so that this recursive application109 of Eq.~(\ref{eq:autoreg}) leads to processes with the required standard deviation108 The parameters in (\autoref{eq:ord2}) are computed so that this recursive application 109 of (\autoref{eq:autoreg}) leads to processes with the required standard deviation 110 110 and correlation timescale, with the additional condition that 111 111 the $n-1$ first derivatives of the autocorrelation function … … 121 121 122 122 \section{Implementation details} 123 \label{ STO_thech_details}123 \label{sec:STO_thech_details} 124 124 125 125 %---------------------------------------namsbc-------------------------------------------------- … … 135 135 (see \href{https://groups.google.com/forum/#!searchin/comp.lang.fortran/64-bit$20KISS$20RNGs}{here}) 136 136 \item[\mdl{stopts}] : stochastic parametrisation associated with the non-linearity of the equation of seawater, 137 implementing Eq~\ref{eq:sto_pert} and specific piece of code in the equation of state implementing Eq~\ref{eq:eos_sto}.137 implementing \autoref{eq:sto_pert} and specific piece of code in the equation of state implementing \autoref{eq:eos_sto}. 138 138 \end{description} 139 139 140 140 The \mdl{stopar} module has 3 public routines to be called by the model (in our case, NEMO): 141 141 142 The first routine (\rou{sto\_par}) is a direct implementation of Eq.~(\ref{eq:autoreg}),142 The first routine (\rou{sto\_par}) is a direct implementation of (\autoref{eq:autoreg}), 143 143 applied at each model grid point (in 2D or 3D), 144 144 and called at each model time step ($k$) to update
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