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revision 1.3 by adcroft, Thu May 16 15:54:37 2002 UTC revision 1.8 by jmc, Tue Jan 15 18:11:50 2008 UTC
# Line 1  Line 1 
1  \section{Surface Driven Convection}  \section{Surface Driven Convection}
2  \label{www:tutorials}  \label{www:tutorials}
3  \label{sect:eg-bconv}  \label{sect:eg-bconv}
4    \begin{rawhtml}
5    <!-- CMIREDIR:eg-bconv: -->
6    \end{rawhtml}
7    \begin{center}
8    (in directory: {\it verification/tutorial\_deep\_convection/})
9    \end{center}
10    
11  \bodytext{bgcolor="#FFFFFFFF"}  \bodytext{bgcolor="#FFFFFFFF"}
12    
# Line 26  with an initially uniform temperature of Line 32  with an initially uniform temperature of
32  \label{FIG:eg-bconv-simulation_config}  \label{FIG:eg-bconv-simulation_config}
33  \end{figure}  \end{figure}
34    
35  This experiment, figure \ref{FIG:eg-bconv-simulation_config}, showcasing MITgcm's non-hydrostatic capability, was designed to explore  This experiment, figure \ref{FIG:eg-bconv-simulation_config}, showcasing MITgcm's non-hydrostatic
36    capability, was designed to explore
37  the temporal and spatial characteristics of convection plumes as they might exist during a  the temporal and spatial characteristics of convection plumes as they might exist during a
38  period of oceanic deep convection. It is  period of oceanic deep convection. The files for this experiment can be found in the verification
39    directory under tutorial\_deep\_convection. It is
40    
41  \begin{itemize}  \begin{itemize}
42  \item non-hydrostatic  \item non-hydrostatic
# Line 280  are Line 288  are
288    
289  \item Line 4,  \item Line 4,
290  \begin{verbatim}  \begin{verbatim}
291       4   tRef=20*20.0,       4   tRef=20*20.0,
292  \end{verbatim}  \end{verbatim}
293  this line sets  this line sets
294  the initial and reference values of potential temperature at each model  the initial and reference values of potential temperature at each model
295  level in units of $^{\circ}$C. Here the value is arbitrary since, in this case, the  level in units of $^{\circ}\mathrm{C}$. Here the value is arbitrary since, in this case, the
296  flow evolves independently of the absolute magnitude of the reference temperature.  flow evolves independently of the absolute magnitude of the reference temperature.
297  For each depth level the initial and reference profiles will be uniform in  For each depth level the initial and reference profiles will be uniform in
298  $x$ and $y$. The values specified are read into the  $x$ and $y$. The values specified are read into the
299  variable  variable
300  {\bf  {\bf
301  \begin{rawhtml} <A href=../../../code_reference/vdb/names/OK.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/OK.htm> \end{rawhtml}
302  tRef  tRef
303  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
304  }  }
305  in the model code, by procedure  in the model code, by procedure
306  {\it  {\it
307  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
308  S/R INI\_PARMS ({\it ini\_parms.F})  S/R INI\_PARMS ({\it ini\_parms.F})
309  \begin{rawhtml} </A>\end{rawhtml}.  \begin{rawhtml} </A>\end{rawhtml}.
310  }  }
311  The temperature field is initialised, by procedure  The temperature field is initialised, by procedure
312  {\it  {\it
313  \begin{rawhtml} <A href=../../../code_reference/vdb/code/OK.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/OK.htm> \end{rawhtml}
314  S/R INI\_THETA ({\it ini\_theta.F})  S/R INI\_THETA ({\it ini\_theta.F})
315  \begin{rawhtml} </A>\end{rawhtml}.  \begin{rawhtml} </A>\end{rawhtml}.
316  }  }
# Line 310  S/R INI\_THETA ({\it ini\_theta.F}) Line 318  S/R INI\_THETA ({\it ini\_theta.F})
318    
319  \item Line 5,  \item Line 5,
320  \begin{verbatim}  \begin{verbatim}
321       5   sRef=20*35.0,       5   sRef=20*35.0,
322  \end{verbatim}  \end{verbatim}
323  this line sets the initial and reference values of salinity at each model  this line sets the initial and reference values of salinity at each model
324  level in units of ppt. In this case salinity is set to an (arbitrary) uniform value of  level in units of ppt. In this case salinity is set to an (arbitrary) uniform value of
# Line 320  tracer. For each depth level the initial Line 328  tracer. For each depth level the initial
328  $x$ and $y$. The values specified are read into the  $x$ and $y$. The values specified are read into the
329  variable  variable
330  {\bf  {\bf
331  \begin{rawhtml} <A href=../../../code_reference/vdb/names/OK.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/OK.htm> \end{rawhtml}
332  sRef  sRef
333  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
334  }  }
335  in the model code, by procedure  in the model code, by procedure
336  {\it  {\it
337  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
338  S/R INI\_PARMS ({\it ini\_parms.F})  S/R INI\_PARMS ({\it ini\_parms.F})
339  }  }
340  \begin{rawhtml} </A>\end{rawhtml}.  \begin{rawhtml} </A>\end{rawhtml}.
341  The salinity field is initialised, by procedure  The salinity field is initialised, by procedure
342  {\it  {\it
343  \begin{rawhtml} <A href=../../../code_reference/vdb/code/OK.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/OK.htm> \end{rawhtml}
344  S/R INI\_SALT ({\it ini\_salt.F})  S/R INI\_SALT ({\it ini\_salt.F})
345  \begin{rawhtml} </A>\end{rawhtml}.  \begin{rawhtml} </A>\end{rawhtml}.
346  }  }
# Line 340  S/R INI\_SALT ({\it ini\_salt.F}) Line 348  S/R INI\_SALT ({\it ini\_salt.F})
348    
349  \item Line 6,  \item Line 6,
350  \begin{verbatim}  \begin{verbatim}
351       6   viscAh=0.1,       6   viscAh=0.1,
352  \end{verbatim}  \end{verbatim}
353  this line sets the horizontal laplacian dissipation coefficient to  this line sets the horizontal laplacian dissipation coefficient to
354  0.1 ${\rm m^{2}s^{-1}}$. Boundary conditions  0.1 ${\rm m^{2}s^{-1}}$. Boundary conditions
355  for this operator are specified later.  for this operator are specified later.
356  The variable  The variable
357  {\bf  {\bf
358  \begin{rawhtml} <A href=../../../code_reference/vdb/names/SI.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/SI.htm> \end{rawhtml}
359  viscAh  viscAh
360  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
361  }  }
362  is read in the routine  is read in the routine
363  {\it  {\it
364  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
365  S/R INI\_PARMS ({\it ini\_params.F})  S/R INI\_PARMS ({\it ini\_params.F})
366  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
367  } and applied in routines  } and applied in routines
368  {\it  {\it
369  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
370  S/R CALC\_MOM\_RHS ({\it calc\_mom\_rhs.F})  S/R CALC\_MOM\_RHS ({\it calc\_mom\_rhs.F})
371  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
372  } and  } and
373  {\it  {\it
374  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
375  S/R CALC\_GW ({\it calc\_gw.F})  S/R CALC\_GW ({\it calc\_gw.F})
376  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
377  }.  }.
# Line 371  S/R CALC\_GW ({\it calc\_gw.F}) Line 379  S/R CALC\_GW ({\it calc\_gw.F})
379    
380  \item Line 7,  \item Line 7,
381  \begin{verbatim}  \begin{verbatim}
382       7   viscAz=0.1,       7   viscAz=0.1,
383  \end{verbatim}  \end{verbatim}
384  this line sets the vertical laplacian frictional dissipation coefficient to  this line sets the vertical laplacian frictional dissipation coefficient to
385  0.1 ${\rm m^{2}s^{-1}}$. Boundary conditions  0.1 ${\rm m^{2}s^{-1}}$. Boundary conditions
386  for this operator are specified later.  for this operator are specified later.
387  The variable  The variable
388  {\bf  {\bf
389  \begin{rawhtml} <A href=../../../code_reference/vdb/names/ZQ.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/ZQ.htm> \end{rawhtml}
390  viscAz  viscAz
391  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
392  }  }
393  is read in the routine  is read in the routine
394  {\it  {\it
395  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
396  S/R INI\_PARMS ({\it ini\_parms.F})  S/R INI\_PARMS ({\it ini\_parms.F})
397  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
398  }  }
399  and is copied into model general vertical coordinate variable  and is copied into model general vertical coordinate variable
400  {\bf  {\bf
401  \begin{rawhtml} <A href=../../../code_reference/vdb/names/PF.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/PF.htm> \end{rawhtml}
402  viscAr  viscAr
403  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
404  }. At each time step, the viscous term contribution to the momentum equations  }. At each time step, the viscous term contribution to the momentum equations
405  is calculated in routine  is calculated in routine
406  {\it  {\it
407  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
408  S/R CALC\_DIFFUSIVITY ({\it calc\_diffusivity.F})  S/R CALC\_DIFFUSIVITY ({\it calc\_diffusivity.F})
409  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
410  }.  }.
# Line 412  e.g. $\frac{\partial u}{\partial y}$=0 a Line 420  e.g. $\frac{\partial u}{\partial y}$=0 a
420  $\frac{\partial v}{\partial x}$=0 along boundaries in $x$.  $\frac{\partial v}{\partial x}$=0 along boundaries in $x$.
421  The variable  The variable
422  {\bf  {\bf
423  \begin{rawhtml} <A href=../../../code_reference/vdb/names/UT.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/UT.htm> \end{rawhtml}
424  no\_slip\_sides  no\_slip\_sides
425  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
426  }  }
427  is read in the routine  is read in the routine
428  {\it  {\it
429  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
430  S/R INI\_PARMS ({\it ini\_parms.F})  S/R INI\_PARMS ({\it ini\_parms.F})
431  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
432  } and the boundary condition is evaluated in routine  } and the boundary condition is evaluated in routine
433  {\it  {\it
434  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
435  S/R CALC\_MOM\_RHS ({\it calc\_mom\_rhs.F})  S/R CALC\_MOM\_RHS ({\it calc\_mom\_rhs.F})
436  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
437  }.  }.
# Line 438  boundary condition in the vertical lapla Line 446  boundary condition in the vertical lapla
446  e.g. $u=v=0$ at $z=-H$, where $H$ is the local depth of the domain.  e.g. $u=v=0$ at $z=-H$, where $H$ is the local depth of the domain.
447  The variable  The variable
448  {\bf  {\bf
449  \begin{rawhtml} <A href=../../../code_reference/vdb/names/UK.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/UK.htm> \end{rawhtml}
450  no\_slip\_bottom  no\_slip\_bottom
451  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
452  }  }
453  is read in the routine  is read in the routine
454  {\it  {\it
455  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
456  S/R INI\_PARMS ({\it ini\_parms.F})  S/R INI\_PARMS ({\it ini\_parms.F})
457  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
458  } and is applied in the routine  } and is applied in the routine
459  {\it  {\it
460  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
461  S/R CALC\_MOM\_RHS ({\it calc\_mom\_rhs.F})  S/R CALC\_MOM\_RHS ({\it calc\_mom\_rhs.F})
462  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
463  }.  }.
# Line 464  operator is $\frac{\partial}{\partial x} Line 472  operator is $\frac{\partial}{\partial x}
472  all boundaries.  all boundaries.
473  The variable  The variable
474  {\bf  {\bf
475  \begin{rawhtml} <A href=../../../code_reference/vdb/names/RC.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/RC.htm> \end{rawhtml}
476  diffKhT  diffKhT
477  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
478  }  }
479  is read in the routine  is read in the routine
480  {\it  {\it
481  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
482  S/R INI\_PARMS ({\it ini\_parms.F})  S/R INI\_PARMS ({\it ini\_parms.F})
483  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
484  } and used in routine  } and used in routine
485  {\it  {\it
486  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
487  S/R CALC\_GT ({\it calc\_gt.F})  S/R CALC\_GT ({\it calc\_gt.F})
488  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
489  }.  }.
# Line 489  to 0.1 ${\rm m^{2}s^{-1}}$. The boundary Line 497  to 0.1 ${\rm m^{2}s^{-1}}$. The boundary
497  operator is $\frac{\partial}{\partial z}$ = 0 on all boundaries.  operator is $\frac{\partial}{\partial z}$ = 0 on all boundaries.
498  The variable  The variable
499  {\bf  {\bf
500  \begin{rawhtml} <A href=../../../code_reference/vdb/names/ZT.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/ZT.htm> \end{rawhtml}
501  diffKzT  diffKzT
502  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
503  }  }
504  is read in the routine  is read in the routine
505  {\it  {\it
506  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
507  S/R INI\_PARMS ({\it ini\_parms.F})  S/R INI\_PARMS ({\it ini\_parms.F})
508  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
509  }.  }.
510  It is copied into model general vertical coordinate variable  It is copied into model general vertical coordinate variable
511  {\bf  {\bf
512  \begin{rawhtml} <A href=../../../code_reference/vdb/names/PD.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/PD.htm> \end{rawhtml}
513  diffKrT  diffKrT
514  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
515  } which is used in routine  } which is used in routine
516  {\it  {\it
517  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
518  S/R CALC\_DIFFUSIVITY ({\it calc\_diffusivity.F})  S/R CALC\_DIFFUSIVITY ({\it calc\_diffusivity.F})
519  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
520  }.  }.
# Line 522  operator is $\frac{\partial}{\partial x} Line 530  operator is $\frac{\partial}{\partial x}
530  all boundaries.  all boundaries.
531  The variable  The variable
532  {\bf  {\bf
533  \begin{rawhtml} <A href=../../../code_reference/vdb/names/RC.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/RC.htm> \end{rawhtml}
534  diffKsT  diffKsT
535  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
536  }  }
537  is read in the routine  is read in the routine
538  {\it  {\it
539  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
540  S/R INI\_PARMS ({\it ini\_parms.F})  S/R INI\_PARMS ({\it ini\_parms.F})
541  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
542  } and used in routine  } and used in routine
543  {\it  {\it
544  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
545  S/R CALC\_GS ({\it calc\_gs.F})  S/R CALC\_GS ({\it calc\_gs.F})
546  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
547  }.  }.
# Line 548  to 0.1 ${\rm m^{2}s^{-1}}$. The boundary Line 556  to 0.1 ${\rm m^{2}s^{-1}}$. The boundary
556  operator is $\frac{\partial}{\partial z}$ = 0 on all boundaries.  operator is $\frac{\partial}{\partial z}$ = 0 on all boundaries.
557  The variable  The variable
558  {\bf  {\bf
559  \begin{rawhtml} <A href=../../../code_reference/vdb/names/ZT.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/ZT.htm> \end{rawhtml}
560  diffKzS  diffKzS
561  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
562  }  }
563  is read in the routine  is read in the routine
564  {\it  {\it
565  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
566  S/R INI\_PARMS ({\it ini\_parms.F})  S/R INI\_PARMS ({\it ini\_parms.F})
567  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
568  }.  }.
569  It is copied into model general vertical coordinate variable  It is copied into model general vertical coordinate variable
570  {\bf  {\bf
571  \begin{rawhtml} <A href=../../../code_reference/vdb/names/PD.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/PD.htm> \end{rawhtml}
572  diffKrS  diffKrS
573  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
574  } which is used in routine  } which is used in routine
575  {\it  {\it
576  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
577  S/R CALC\_DIFFUSIVITY ({\it calc\_diffusivity.F})  S/R CALC\_DIFFUSIVITY ({\it calc\_diffusivity.F})
578  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
579  }.  }.
# Line 594  This line sets the thermal expansion coe Line 602  This line sets the thermal expansion coe
602  to $2 \times 10^{-4}$ $^o$ C$^{-1}$.  to $2 \times 10^{-4}$ $^o$ C$^{-1}$.
603  The variable  The variable
604  {\bf  {\bf
605  \begin{rawhtml} <A href=../../../code_reference/vdb/names/ZV.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/ZV.htm> \end{rawhtml}
606  tAlpha  tAlpha
607  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
608  }  }
609  is read in the routine  is read in the routine
610  {\it  {\it
611  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
612  S/R INI\_PARMS ({\it ini\_parms.F})  S/R INI\_PARMS ({\it ini\_parms.F})
613  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
614  }.  }.
615  The routine  The routine
616  {\it  {\it
617  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
618  S/R FIND\_RHO ({\it find\_rho.F})  S/R FIND\_RHO ({\it find\_rho.F})
619  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
620  } makes use of {\bf tAlpha}.  } makes use of {\bf tAlpha}.
# Line 672  This line sets the  maximum number of it Line 680  This line sets the  maximum number of it
680  gradient solver will use to 40, {\bf irrespective of the convergence  gradient solver will use to 40, {\bf irrespective of the convergence
681  criteria being met}. Used in routine  criteria being met}. Used in routine
682  {\it  {\it
683  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
684  S/R CG3D ({\it cg3d.F})  S/R CG3D ({\it cg3d.F})
685  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
686  }.  }.
# Line 690  The solver will iterate until the Line 698  The solver will iterate until the
698  tolerance falls below this value or until the maximum number of  tolerance falls below this value or until the maximum number of
699  solver iterations is reached. Used in routine  solver iterations is reached. Used in routine
700  {\it  {\it
701  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
702  S/R CG3D ({\it cg3d.F})  S/R CG3D ({\it cg3d.F})
703  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
704  }.  }.
# Line 759  to high coordinate for both axes. The ma Line 767  to high coordinate for both axes. The ma
767  surface heat flux file used in the example.  surface heat flux file used in the example.
768  The variable  The variable
769  {\bf  {\bf
770  \begin{rawhtml} <A href=../../../code_reference/vdb/names/179.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/names/179.htm> \end{rawhtml}
771  Qsurf  Qsurf
772  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
773  }  }
774  is read in the routine  is read in the routine
775  {\it  {\it
776  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
777  S/R INI\_PARMS ({\it ini\_parms.F})  S/R INI\_PARMS ({\it ini\_parms.F})
778  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
779  }  }
780  and applied in    and applied in  
781  {\it  {\it
782  \begin{rawhtml} <A href=../../../code_reference/vdb/code/94.htm> \end{rawhtml}  \begin{rawhtml} <A href=../code_reference/vdb/code/94.htm> \end{rawhtml}
783  S/R EXTERNAL\_FORCING\_SURF ({\it external\_forcing\_surf.F})  S/R EXTERNAL\_FORCING\_SURF ({\it external\_forcing\_surf.F})
784  \begin{rawhtml} </A>\end{rawhtml}  \begin{rawhtml} </A>\end{rawhtml}
785  } where the flux is converted to a temperature tendency.  } where the flux is converted to a temperature tendency.
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