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(see e.g. \cite{lar-eta:97}) and is now coomon in many |
(see e.g. \cite{lar-eta:97}) and is now coomon in many |
60 |
ocean models. |
ocean models. |
61 |
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The current code originates in the NCAR NCOM 1-D code |
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and was kindly provided by Bill Large and Jan Morzel. |
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It has been adapted first to the MITgcm vector code and |
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subsequently to the current parallel code. |
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Adjustment were mainly in conjunction with WRAPPER requirements |
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(domain decomposition and threading capability), to enable |
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automatic differentiation of tangent linear and adjoint code |
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via TAMC. |
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The following sections will describe the KPP package |
The following sections will describe the KPP package |
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configuration and compiling (\ref{sec:pkg:kpp:comp}), |
configuration and compiling (\ref{sec:pkg:kpp:comp}), |
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the settings and choices of runtime parameters |
the settings and choices of runtime parameters |
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or using \texttt{genmake2} adding |
or using \texttt{genmake2} adding |
95 |
\texttt{-enable=kpp} or \texttt{-disable=kpp} switches |
\texttt{-enable=kpp} or \texttt{-disable=kpp} switches |
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% |
% |
97 |
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\item |
98 |
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\textit{Required packages and CPP options:} \\ |
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No additional packages are required, but the MITgcm kernel flag |
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enabling the penetration of shortwave radiation below |
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the surface layer needs to be set in \texttt{CPP\_OPTIONS.h} |
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as follows: \\ |
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\texttt{\#define SHORTWAVE\_HEATING} |
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% |
105 |
\end{itemize} |
\end{itemize} |
106 |
(see Section \ref{sect:buildingCode}). |
(see Section \ref{sect:buildingCode}). |
107 |
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%---------------------------------------------------------------------- |
%---------------------------------------------------------------------- |
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\subsubsection{Equations |
\subsubsection{Equations and key routines |
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\label{sec:pkg:kpp:equations}} |
\label{sec:pkg:kpp:equations}} |
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|
|
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We restrict ourselves to writing out only the essential equations |
We restrict ourselves to writing out only the essential equations |
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that relate to main processes and parameters mentioned above. |
that relate to main processes and parameters mentioned above. |
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We closely follow the notation of \cite{lar-eta:94}. |
We closely follow the notation of \cite{lar-eta:94}. |
297 |
|
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298 |
\paragraph{Mixing in the boundary layer} ~ \\ |
\paragraph{KPP\_CALC:} Top-level routine. \\ |
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~ |
300 |
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301 |
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\paragraph{KPP\_MIX:} Intermediate-level routine \\ |
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~ |
303 |
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304 |
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\paragraph{BLMIX: Mixing in the boundary layer} ~ \\ |
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% |
% |
306 |
~ |
~ |
307 |
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|
366 |
|
|
367 |
\end{itemize} |
\end{itemize} |
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In practice, the routine peforms the following tasks: |
|
\paragraph{Mixing in the interior} ~ \\ |
|
370 |
% |
% |
371 |
~ |
\begin{enumerate} |
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\paragraph{Implicit time integration} ~ \\ |
|
372 |
% |
% |
373 |
~ |
\item |
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|
compute velocity scales at hbl |
375 |
%---------------------------------------------------------------------- |
% |
376 |
|
\item |
377 |
\subsubsection{Key subroutines |
find the interior viscosities and derivatives at hbl |
378 |
\label{sec:pkg:kpp:subroutines}} |
% |
379 |
|
\item |
380 |
\paragraph{kpp\_calc:} Top-level routine. \\ |
compute turbulent velocity scales on the interfaces |
381 |
~ |
% |
382 |
|
\item |
383 |
\paragraph{kpp\_mix:} Intermediate-level routine \\ |
compute the dimensionless shape functions at the interfaces |
384 |
~ |
% |
385 |
|
\item |
386 |
|
compute boundary layer diffusivities at the interfaces |
387 |
|
% |
388 |
|
\item |
389 |
|
compute nonlocal transport term |
390 |
|
% |
391 |
|
\item |
392 |
|
find diffusivities at kbl-1 grid level |
393 |
|
% |
394 |
|
\end{enumerate} |
395 |
|
|
396 |
\paragraph{ri\_iwmix:} ~ \\ |
\paragraph{RI\_IWMIX: Mixing in the interior} ~ \\ |
397 |
% |
% |
398 |
Compute interior viscosity and diffusivity coefficients due to |
Compute interior viscosity and diffusivity coefficients due to |
399 |
% |
% |
406 |
to background internal wave activity, and |
to background internal wave activity, and |
407 |
% |
% |
408 |
\item |
\item |
409 |
to static instability (local Richardson number < 0). |
to static instability (local Richardson number $<$ 0). |
410 |
% |
% |
411 |
\end{itemize} |
\end{itemize} |
412 |
|
|
413 |
|
TO BE CONTINUED. |
414 |
|
|
415 |
\paragraph{bldepth:} ~ \\ |
\paragraph{BLDEPTH: Boundary layer depth calculation:} ~ \\ |
416 |
% |
% |
417 |
The oceanic planetary boundary layer depth, \texttt{hbl}, is determined as |
The oceanic planetary boundary layer depth, \texttt{hbl}, is determined as |
418 |
the shallowest depth where the bulk Richardson number is |
the shallowest depth where the bulk Richardson number is |
435 |
to grid points (caseA), so that conditional branches can be |
to grid points (caseA), so that conditional branches can be |
436 |
avoided in later subroutines. |
avoided in later subroutines. |
437 |
|
|
438 |
\paragraph{blmix:} ~ \\ |
TO BE CONTINUED. |
|
% |
|
|
Compute boundary layer mixing coefficients. |
|
|
Mixing coefficients within boundary layer depend on surface |
|
|
forcing and the magnitude and gradient of interior mixing below |
|
|
the boundary layer ("matching"). |
|
|
% |
|
|
\begin{enumerate} |
|
|
% |
|
|
\item |
|
|
compute velocity scales at hbl |
|
|
% |
|
|
\item |
|
|
find the interior viscosities and derivatives at hbl |
|
|
% |
|
|
\item |
|
|
compute turbulent velocity scales on the interfaces |
|
|
% |
|
|
\item |
|
|
compute the dimensionless shape functions at the interfaces |
|
|
% |
|
|
\item |
|
|
compute boundary layer diffusivities at the interfaces |
|
|
% |
|
|
\item |
|
|
compute nonlocal transport term |
|
|
% |
|
|
\item |
|
|
find diffusivities at kbl-1 grid level |
|
|
% |
|
|
\end{enumerate} |
|
439 |
|
|
440 |
\paragraph{kpp\_calc\_diff\_t/\_s, kpp\_calc\_visc:} ~ \\ |
\paragraph{KPP\_CALC\_DIFF\_T/\_S, KPP\_CALC\_VISC:} ~ \\ |
441 |
% |
% |
442 |
Add contribution to net diffusivity/viscosity from |
Add contribution to net diffusivity/viscosity from |
443 |
KPP diffusivity/viscosity. |
KPP diffusivity/viscosity. |
444 |
|
|
445 |
\paragraph{kpp\_transport\_t/\_s/\_ptr:} ~ \\ |
TO BE CONTINUED. |
446 |
|
|
447 |
|
\paragraph{KPP\_TRANSPORT\_T/\_S/\_PTR:} ~ \\ |
448 |
% |
% |
449 |
Add non local KPP transport term (ghat) to diffusive |
Add non local KPP transport term (ghat) to diffusive |
450 |
temperature/salinity/passive tracer flux. |
temperature/salinity/passive tracer flux. |
451 |
The nonlocal transport term is nonzero only for scalars |
The nonlocal transport term is nonzero only for scalars |
452 |
in unstable (convective) forcing conditions. |
in unstable (convective) forcing conditions. |
453 |
|
|
454 |
\paragraph{Flow chart:} ~ \\ |
TO BE CONTINUED. |
455 |
|
|
456 |
|
\paragraph{Implicit time integration} ~ \\ |
457 |
% |
% |
458 |
|
TO BE CONTINUED. |
459 |
|
|
460 |
|
|
461 |
|
\paragraph{Penetration of shortwave radiation} ~ \\ |
462 |
|
% |
463 |
|
TO BE CONTINUED. |
464 |
|
|
465 |
|
|
466 |
|
%---------------------------------------------------------------------- |
467 |
|
|
468 |
|
\subsubsection{Flow chart |
469 |
|
\label{sec:pkg:kpp:flowchart}} |
470 |
|
|
471 |
|
|
472 |
{\footnotesize |
{\footnotesize |
473 |
\begin{verbatim} |
\begin{verbatim} |
474 |
|
|