| 59 |
(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 |
|
|
| 62 |
|
The current code originates in the NCAR NCOM 1-D code |
| 63 |
|
and was kindly provided by Bill Large and Jan Morzel. |
| 64 |
|
It has been adapted first to the MITgcm vector code and |
| 65 |
|
subsequently to the current parallel code. |
| 66 |
|
Adjustment were mainly in conjunction with WRAPPER requirements |
| 67 |
|
(domain decomposition and threading capability), to enable |
| 68 |
|
automatic differentiation of tangent linear and adjoint code |
| 69 |
|
via TAMC. |
| 70 |
|
|
| 71 |
The following sections will describe the KPP package |
The following sections will describe the KPP package |
| 72 |
configuration and compiling (\ref{sec:pkg:kpp:comp}), |
configuration and compiling (\ref{sec:pkg:kpp:comp}), |
| 73 |
the settings and choices of runtime parameters |
the settings and choices of runtime parameters |
| 94 |
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 |
| 96 |
% |
% |
| 97 |
|
\item |
| 98 |
|
\textit{Required packages and CPP options:} \\ |
| 99 |
|
No additional packages are required, but the MITgcm kernel flag |
| 100 |
|
enabling the penetration of shortwave radiation below |
| 101 |
|
the surface layer needs to be set in \texttt{CPP\_OPTIONS.h} |
| 102 |
|
as follows: \\ |
| 103 |
|
\texttt{\#define SHORTWAVE\_HEATING} |
| 104 |
|
% |
| 105 |
\end{itemize} |
\end{itemize} |
| 106 |
(see Section \ref{sect:buildingCode}). |
(see Section \ref{sect:buildingCode}). |
| 107 |
|
|
| 288 |
|
|
| 289 |
%---------------------------------------------------------------------- |
%---------------------------------------------------------------------- |
| 290 |
|
|
| 291 |
\subsubsection{Equations |
\subsubsection{Equations and key routines |
| 292 |
\label{sec:pkg:kpp:equations}} |
\label{sec:pkg:kpp:equations}} |
| 293 |
|
|
| 294 |
We restrict ourselves to writing out only the essential equations |
We restrict ourselves to writing out only the essential equations |
| 295 |
that relate to main processes and parameters mentioned above. |
that relate to main processes and parameters mentioned above. |
| 296 |
We closely follow the notation of \cite{lar-eta:94}. |
We closely follow the notation of \cite{lar-eta:94}. |
| 297 |
|
|
| 298 |
\paragraph{Mixing in the boundary layer} ~ \\ |
\paragraph{KPP\_CALC:} Top-level routine. \\ |
| 299 |
|
~ |
| 300 |
|
|
| 301 |
|
\paragraph{KPP\_MIX:} Intermediate-level routine \\ |
| 302 |
|
~ |
| 303 |
|
|
| 304 |
|
\paragraph{BLMIX: Mixing in the boundary layer} ~ \\ |
| 305 |
% |
% |
| 306 |
~ |
~ |
| 307 |
|
|
| 366 |
|
|
| 367 |
\end{itemize} |
\end{itemize} |
| 368 |
|
|
| 369 |
|
In practice, the routine peforms the following tasks: |
|
\paragraph{Mixing in the interior} ~ \\ |
|
| 370 |
% |
% |
| 371 |
~ |
\begin{enumerate} |
|
|
|
|
\paragraph{Implicit time integration} ~ \\ |
|
| 372 |
% |
% |
| 373 |
~ |
\item |
| 374 |
|
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 |
|
|
| 504 |
|
|
| 505 |
Diagnostics output is available via the diagnostics package |
Diagnostics output is available via the diagnostics package |
| 506 |
(see Section \ref{sec:pkg:diagnostics}). |
(see Section \ref{sec:pkg:diagnostics}). |
| 507 |
Available output fields are summarized in |
Available output fields are summarized here: |
|
Table \ref{tab:pkg:kpp:diagnostics}. |
|
| 508 |
|
|
|
\begin{table}[h!] |
|
|
\centering |
|
|
\label{tab:pkg:kpp:diagnostics} |
|
|
{\footnotesize |
|
| 509 |
\begin{verbatim} |
\begin{verbatim} |
| 510 |
------------------------------------------------------ |
------------------------------------------------------ |
| 511 |
<-Name->|Levs|grid|<-- Units -->|<- Tile (max=80c) |
<-Name->|Levs|grid|<-- Units -->|<- Tile (max=80c) |
| 518 |
KPPmld | 1 |SM |m |Mixed layer depth, dT=.8degC density criterion |
KPPmld | 1 |SM |m |Mixed layer depth, dT=.8degC density criterion |
| 519 |
KPPfrac | 1 |SM | |Short-wave flux fraction penetrating mixing layer |
KPPfrac | 1 |SM | |Short-wave flux fraction penetrating mixing layer |
| 520 |
\end{verbatim} |
\end{verbatim} |
|
} |
|
|
\caption{~} |
|
|
\end{table} |
|
| 521 |
|
|
| 522 |
%---------------------------------------------------------------------- |
%---------------------------------------------------------------------- |
| 523 |
|
|
| 531 |
|
|
| 532 |
\subsubsection{References} |
\subsubsection{References} |
| 533 |
|
|
| 534 |
|
\subsubsection{Experiments and tutorials that use kpp} |
| 535 |
|
\label{sec:pkg:kpp:experiments} |
| 536 |
|
|
| 537 |
|
\begin{itemize} |
| 538 |
|
\item{Labrador Sea experiment, in lab\_sea verification directory } |
| 539 |
|
\end{itemize} |