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C $Header: /u/gcmpack/models/MITgcmUV/model/src/dynamics.F,v 1.18 1998/06/10 16:05:39 adcroft Exp $ |
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|
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#include "CPP_EEOPTIONS.h" |
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|
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SUBROUTINE DYNAMICS(myTime, myIter, myThid) |
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C /==========================================================\ |
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C | SUBROUTINE DYNAMICS | |
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C | o Controlling routine for the explicit part of the model | |
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C | dynamics. | |
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C |==========================================================| |
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C | This routine evaluates the "dynamics" terms for each | |
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C | block of ocean in turn. Because the blocks of ocean have | |
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C | overlap regions they are independent of one another. | |
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C | If terms involving lateral integrals are needed in this | |
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C | routine care will be needed. Similarly finite-difference | |
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C | operations with stencils wider than the overlap region | |
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C | require special consideration. | |
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C | Notes | |
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C | ===== | |
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C | C*P* comments indicating place holders for which code is | |
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C | presently being developed. | |
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C \==========================================================/ |
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|
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C == Global variables === |
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#include "SIZE.h" |
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#include "EEPARAMS.h" |
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#include "CG2D.h" |
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#include "PARAMS.h" |
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#include "DYNVARS.h" |
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|
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C == Routine arguments == |
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C myTime - Current time in simulation |
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C myIter - Current iteration number in simulation |
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C myThid - Thread number for this instance of the routine. |
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INTEGER myThid |
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_RL myTime |
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INTEGER myIter |
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|
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C == Local variables |
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C xA, yA - Per block temporaries holding face areas |
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C uTrans, vTrans, wTrans - Per block temporaries holding flow transport |
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C wVel o uTrans: Zonal transport |
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C o vTrans: Meridional transport |
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C o wTrans: Vertical transport |
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C o wVel: Vertical velocity at upper and lower |
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C cell faces. |
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C maskC,maskUp o maskC: land/water mask for tracer cells |
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C o maskUp: land/water mask for W points |
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C aTerm, xTerm, cTerm - Work arrays for holding separate terms in |
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C mTerm, pTerm, tendency equations. |
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C fZon, fMer, fVer[STUV] o aTerm: Advection term |
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C o xTerm: Mixing term |
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C o cTerm: Coriolis term |
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C o mTerm: Metric term |
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C o pTerm: Pressure term |
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C o fZon: Zonal flux term |
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C o fMer: Meridional flux term |
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C o fVer: Vertical flux term - note fVer |
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C is "pipelined" in the vertical |
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C so we need an fVer for each |
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C variable. |
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C iMin, iMax - Ranges and sub-block indices on which calculations |
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C jMin, jMax are applied. |
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C bi, bj |
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C k, kUp, kDown, kM1 - Index for layer above and below. kUp and kDown |
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C are switched with layer to be the appropriate index |
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C into fVerTerm |
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_RS xA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS yA (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL uTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL vTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL wTrans(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL wVel (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RS maskC (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RS maskUp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL aTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL xTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL cTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL mTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL pTerm (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fZon (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fMer (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL fVerT (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL fVerS (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL fVerU (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL fVerV (1-OLx:sNx+OLx,1-OLy:sNy+OLy,2) |
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_RL pH (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) |
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_RL rhokm1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rhokp1(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rhok (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL rhotmp(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL pSurfX(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL pSurfY(1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL K13 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) |
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_RL K23 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) |
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_RL K33 (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nz) |
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_RL KapGM (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
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_RL KappaZT(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nz) |
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_RL KappaZS(1-Olx:sNx+Olx,1-Oly:sNy+Oly,Nz) |
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|
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INTEGER iMin, iMax |
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INTEGER jMin, jMax |
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INTEGER bi, bj |
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INTEGER i, j |
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INTEGER k, kM1, kUp, kDown |
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LOGICAL BOTTOM_LAYER |
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|
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C--- The algorithm... |
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C |
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C "Correction Step" |
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C ================= |
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C Here we update the horizontal velocities with the surface |
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C pressure such that the resulting flow is either consistent |
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C with the free-surface evolution or the rigid-lid: |
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C U[n] = U* + dt x d/dx P |
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C V[n] = V* + dt x d/dy P |
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C |
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C "Calculation of Gs" |
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C =================== |
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C This is where all the accelerations and tendencies (ie. |
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C physics, parameterizations etc...) are calculated |
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C w = sum_z ( div. u[n] ) |
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C rho = rho ( theta[n], salt[n] ) |
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C K31 = K31 ( rho ) |
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C Gu[n] = Gu( u[n], v[n], w, rho, Ph, ... ) |
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C Gv[n] = Gv( u[n], v[n], w, rho, Ph, ... ) |
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C Gt[n] = Gt( theta[n], u[n], v[n], w, K31, ... ) |
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C Gs[n] = Gs( salt[n], u[n], v[n], w, K31, ... ) |
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C |
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C "Time-stepping" or "Prediction" |
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C ================================ |
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C The models variables are stepped forward with the appropriate |
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C time-stepping scheme (currently we use Adams-Bashforth II) |
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C - For momentum, the result is always *only* a "prediction" |
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C in that the flow may be divergent and will be "corrected" |
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C later with a surface pressure gradient. |
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C - Normally for tracers the result is the new field at time |
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C level [n+1} *BUT* in the case of implicit diffusion the result |
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C is also *only* a prediction. |
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C - We denote "predictors" with an asterisk (*). |
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C U* = U[n] + dt x ( 3/2 Gu[n] - 1/2 Gu[n-1] ) |
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C V* = V[n] + dt x ( 3/2 Gv[n] - 1/2 Gv[n-1] ) |
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C theta[n+1] = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
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C salt[n+1] = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
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C With implicit diffusion: |
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C theta* = theta[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
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C salt* = salt[n] + dt x ( 3/2 Gt[n] - 1/2 atG[n-1] ) |
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C (1 + dt * K * d_zz) theta[n] = theta* |
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C (1 + dt * K * d_zz) salt[n] = salt* |
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C--- |
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|
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C-- Set up work arrays with valid (i.e. not NaN) values |
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C These inital values do not alter the numerical results. They |
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C just ensure that all memory references are to valid floating |
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C point numbers. This prevents spurious hardware signals due to |
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C uninitialised but inert locations. |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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xA(i,j) = 0. _d 0 |
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yA(i,j) = 0. _d 0 |
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uTrans(i,j) = 0. _d 0 |
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vTrans(i,j) = 0. _d 0 |
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aTerm(i,j) = 0. _d 0 |
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xTerm(i,j) = 0. _d 0 |
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cTerm(i,j) = 0. _d 0 |
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mTerm(i,j) = 0. _d 0 |
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pTerm(i,j) = 0. _d 0 |
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fZon(i,j) = 0. _d 0 |
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fMer(i,j) = 0. _d 0 |
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DO K=1,nZ |
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pH (i,j,k) = 0. _d 0 |
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K13(i,j,k) = 0. _d 0 |
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K23(i,j,k) = 0. _d 0 |
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K33(i,j,k) = 0. _d 0 |
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KappaZT(i,j,k) = 0. _d 0 |
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ENDDO |
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rhokm1(i,j) = 0. _d 0 |
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rhok (i,j) = 0. _d 0 |
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rhokp1(i,j) = 0. _d 0 |
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rhotmp(i,j) = 0. _d 0 |
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maskC (i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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|
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DO bj=myByLo(myThid),myByHi(myThid) |
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DO bi=myBxLo(myThid),myBxHi(myThid) |
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|
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C-- Set up work arrays that need valid initial values |
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DO j=1-OLy,sNy+OLy |
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DO i=1-OLx,sNx+OLx |
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wTrans(i,j) = 0. _d 0 |
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wVel (i,j,1) = 0. _d 0 |
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wVel (i,j,2) = 0. _d 0 |
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fVerT(i,j,1) = 0. _d 0 |
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fVerT(i,j,2) = 0. _d 0 |
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fVerS(i,j,1) = 0. _d 0 |
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fVerS(i,j,2) = 0. _d 0 |
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fVerU(i,j,1) = 0. _d 0 |
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fVerU(i,j,2) = 0. _d 0 |
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fVerV(i,j,1) = 0. _d 0 |
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fVerV(i,j,2) = 0. _d 0 |
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pH(i,j,1) = 0. _d 0 |
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K13(i,j,1) = 0. _d 0 |
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K23(i,j,1) = 0. _d 0 |
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K33(i,j,1) = 0. _d 0 |
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KapGM(i,j) = 0. _d 0 |
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ENDDO |
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ENDDO |
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|
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iMin = 1-OLx+1 |
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iMax = sNx+OLx |
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jMin = 1-OLy+1 |
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jMax = sNy+OLy |
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|
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K = 1 |
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BOTTOM_LAYER = K .EQ. Nz |
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|
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C-- Calculate gradient of surface pressure |
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CALL GRAD_PSURF( |
| 220 |
I bi,bj,iMin,iMax,jMin,jMax, |
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O pSurfX,pSurfY, |
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I myThid) |
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|
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C-- Update fields in top level according to tendency terms |
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CALL CORRECTION_STEP( |
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I bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myThid) |
| 227 |
|
| 228 |
C-- Density of 1st level (below W(1)) reference to level 1 |
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CALL FIND_RHO( |
| 230 |
I bi, bj, iMin, iMax, jMin, jMax, K, K, eosType, |
| 231 |
O rhoKm1, |
| 232 |
I myThid ) |
| 233 |
|
| 234 |
IF ( .NOT. BOTTOM_LAYER ) THEN |
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C-- Check static stability with layer below |
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C and mix as needed. |
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CALL FIND_RHO( |
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I bi, bj, iMin, iMax, jMin, jMax, K+1, K, eosType, |
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O rhoKp1, |
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I myThid ) |
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CALL CONVECT( |
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I bi,bj,iMin,iMax,jMin,jMax,K+1,rhoKm1,rhoKp1, |
| 243 |
I myTime,myIter,myThid) |
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C-- Recompute density after mixing |
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CALL FIND_RHO( |
| 246 |
I bi, bj, iMin, iMax, jMin, jMax, K, K, eosType, |
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O rhoKm1, |
| 248 |
I myThid ) |
| 249 |
ENDIF |
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|
| 251 |
C-- Integrate hydrostatic balance for pH with BC of pH(z=0)=0 |
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CALL CALC_PH( |
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I bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoKm1, |
| 254 |
U pH, |
| 255 |
I myThid ) |
| 256 |
|
| 257 |
DO K=2,Nz |
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|
| 259 |
BOTTOM_LAYER = K .EQ. Nz |
| 260 |
|
| 261 |
C-- Update fields in Kth level according to tendency terms |
| 262 |
CALL CORRECTION_STEP( |
| 263 |
I bi,bj,iMin,iMax,jMin,jMax,K,pSurfX,pSurfY,myThid) |
| 264 |
C-- Density of K level (below W(K)) reference to K level |
| 265 |
CALL FIND_RHO( |
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I bi, bj, iMin, iMax, jMin, jMax, K, K, eosType, |
| 267 |
O rhoK, |
| 268 |
I myThid ) |
| 269 |
IF ( .NOT. BOTTOM_LAYER ) THEN |
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C-- Check static stability with layer below |
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C and mix as needed. |
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C-- Density of K+1 level (below W(K+1)) reference to K level |
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CALL FIND_RHO( |
| 274 |
I bi, bj, iMin, iMax, jMin, jMax, K+1, K, eosType, |
| 275 |
O rhoKp1, |
| 276 |
I myThid ) |
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CALL CONVECT( |
| 278 |
I bi,bj,iMin,iMax,jMin,jMax,K+1,rhoK,rhoKp1, |
| 279 |
I myTime,myIter,myThid) |
| 280 |
C-- Recompute density after mixing |
| 281 |
CALL FIND_RHO( |
| 282 |
I bi, bj, iMin, iMax, jMin, jMax, K, K, eosType, |
| 283 |
O rhoK, |
| 284 |
I myThid ) |
| 285 |
ENDIF |
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C-- Integrate hydrostatic balance for pH with BC of pH(z=0)=0 |
| 287 |
CALL CALC_PH( |
| 288 |
I bi,bj,iMin,iMax,jMin,jMax,K,rhoKm1,rhoK, |
| 289 |
U pH, |
| 290 |
I myThid ) |
| 291 |
C-- Calculate iso-neutral slopes for the GM/Redi parameterisation |
| 292 |
CALL FIND_RHO( |
| 293 |
I bi, bj, iMin, iMax, jMin, jMax, K-1, K, eosType, |
| 294 |
O rhoTmp, |
| 295 |
I myThid ) |
| 296 |
CALL CALC_ISOSLOPES( |
| 297 |
I bi, bj, iMin, iMax, jMin, jMax, K, |
| 298 |
I rhoKm1, rhoK, rhotmp, |
| 299 |
O K13, K23, K33, KapGM, |
| 300 |
I myThid ) |
| 301 |
DO J=jMin,jMax |
| 302 |
DO I=iMin,iMax |
| 303 |
rhoKm1(I,J)=rhoK(I,J) |
| 304 |
ENDDO |
| 305 |
ENDDO |
| 306 |
|
| 307 |
ENDDO ! K |
| 308 |
|
| 309 |
DO K = Nz, 1, -1 |
| 310 |
kM1 =max(1,k-1) ! Points to level above k (=k-1) |
| 311 |
kUp =1+MOD(k+1,2) ! Cycles through 1,2 to point to layer above |
| 312 |
kDown=1+MOD(k,2) ! Cycles through 2,1 to point to current layer |
| 313 |
iMin = 1-OLx+2 |
| 314 |
iMax = sNx+OLx-1 |
| 315 |
jMin = 1-OLy+2 |
| 316 |
jMax = sNy+OLy-1 |
| 317 |
|
| 318 |
C-- Get temporary terms used by tendency routines |
| 319 |
CALL CALC_COMMON_FACTORS ( |
| 320 |
I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
| 321 |
O xA,yA,uTrans,vTrans,wTrans,wVel,maskC,maskUp, |
| 322 |
I myThid) |
| 323 |
|
| 324 |
C-- Calculate the total vertical diffusivity |
| 325 |
CALL CALC_DIFFUSIVITY( |
| 326 |
I bi,bj,iMin,iMax,jMin,jMax,K, |
| 327 |
I maskC,maskUp,KapGM,K33, |
| 328 |
O KappaZT,KappaZS, |
| 329 |
I myThid) |
| 330 |
|
| 331 |
C-- Calculate accelerations in the momentum equations |
| 332 |
IF ( momStepping ) THEN |
| 333 |
CALL CALC_MOM_RHS( |
| 334 |
I bi,bj,iMin,iMax,jMin,jMax,k,kM1,kUp,kDown, |
| 335 |
I xA,yA,uTrans,vTrans,wTrans,wVel,maskC, |
| 336 |
I pH, |
| 337 |
U aTerm,xTerm,cTerm,mTerm,pTerm, |
| 338 |
U fZon, fMer, fVerU, fVerV, |
| 339 |
I myThid) |
| 340 |
ENDIF |
| 341 |
|
| 342 |
C-- Calculate active tracer tendencies |
| 343 |
IF ( tempStepping ) THEN |
| 344 |
CALL CALC_GT( |
| 345 |
I bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown, |
| 346 |
I xA,yA,uTrans,vTrans,wTrans,maskUp, |
| 347 |
I K13,K23,KappaZT,KapGM, |
| 348 |
U aTerm,xTerm,fZon,fMer,fVerT, |
| 349 |
I myThid) |
| 350 |
ENDIF |
| 351 |
IF ( saltStepping ) THEN |
| 352 |
CALL CALC_GS( |
| 353 |
I bi,bj,iMin,iMax,jMin,jMax, k,kM1,kUp,kDown, |
| 354 |
I xA,yA,uTrans,vTrans,wTrans,maskUp, |
| 355 |
I K13,K23,KappaZS,KapGM, |
| 356 |
U aTerm,xTerm,fZon,fMer,fVerS, |
| 357 |
I myThid) |
| 358 |
ENDIF |
| 359 |
|
| 360 |
C-- Prediction step (step forward all model variables) |
| 361 |
CALL TIMESTEP( |
| 362 |
I bi,bj,iMin,iMax,jMin,jMax,K, |
| 363 |
I myThid) |
| 364 |
|
| 365 |
C-- Diagnose barotropic divergence of predicted fields |
| 366 |
CALL DIV_G( |
| 367 |
I bi,bj,iMin,iMax,jMin,jMax,K, |
| 368 |
I xA,yA, |
| 369 |
I myThid) |
| 370 |
|
| 371 |
ENDDO ! K |
| 372 |
|
| 373 |
C-- Implicit diffusion |
| 374 |
IF (implicitDiffusion) THEN |
| 375 |
CALL IMPLDIFF( bi, bj, iMin, iMax, jMin, jMax, |
| 376 |
I KappaZT,KappaZS, |
| 377 |
I myThid ) |
| 378 |
ENDIF |
| 379 |
|
| 380 |
ENDDO |
| 381 |
ENDDO |
| 382 |
|
| 383 |
C write(0,*) 'dynamics: pS ',minval(cg2d_x(1:sNx,1:sNy,:,:)), |
| 384 |
C & maxval(cg2d_x(1:sNx,1:sNy,:,:)) |
| 385 |
write(0,*) 'dynamics: U ',minval(uVel(1:sNx,1:sNy,1,:,:),mask=uVel(1:sNx,1:sNy,1,:,:).NE.0.), |
| 386 |
& maxval(uVel(1:sNx,1:sNy,1,:,:)) |
| 387 |
write(0,*) 'dynamics: V ',minval(vVel(1:sNx,1:sNy,1,:,:),mask=vVel(1:sNx,1:sNy,1,:,:).NE.0.), |
| 388 |
& maxval(vVel(1:sNx,1:sNy,1,:,:)) |
| 389 |
write(0,*) 'dynamics: wVel(1) ', |
| 390 |
& minval(wVel(1:sNx,1:sNy,1),mask=wVel(1:sNx,1:sNy,1).NE.0.), |
| 391 |
& maxval(wVel(1:sNx,1:sNy,1)) |
| 392 |
write(0,*) 'dynamics: wVel(2) ', |
| 393 |
& minval(wVel(1:sNx,1:sNy,2),mask=wVel(1:sNx,1:sNy,2).NE.0.), |
| 394 |
& maxval(wVel(1:sNx,1:sNy,2)) |
| 395 |
cblk write(0,*) 'dynamics: K13',minval(K13(1:sNx,1:sNy,:)), |
| 396 |
cblk & maxval(K13(1:sNx,1:sNy,:)) |
| 397 |
cblk write(0,*) 'dynamics: K23',minval(K23(1:sNx,1:sNy,:)), |
| 398 |
cblk & maxval(K23(1:sNx,1:sNy,:)) |
| 399 |
cblk write(0,*) 'dynamics: K33',minval(K33(1:sNx,1:sNy,:)), |
| 400 |
cblk & maxval(K33(1:sNx,1:sNy,:)) |
| 401 |
C write(0,*) 'dynamics: gT ',minval(gT(1:sNx,1:sNy,:,:,:)), |
| 402 |
C & maxval(gT(1:sNx,1:sNy,:,:,:)) |
| 403 |
C write(0,*) 'dynamics: T ',minval(Theta(1:sNx,1:sNy,:,:,:)), |
| 404 |
C & maxval(Theta(1:sNx,1:sNy,:,:,:)) |
| 405 |
C write(0,*) 'dynamics: gS ',minval(gS(1:sNx,1:sNy,:,:,:)), |
| 406 |
C & maxval(gS(1:sNx,1:sNy,:,:,:)) |
| 407 |
C write(0,*) 'dynamics: S ',minval(salt(1:sNx,1:sNy,:,:,:)), |
| 408 |
C & maxval(salt(1:sNx,1:sNy,:,:,:)) |
| 409 |
write(0,*) 'dynamics: pH ',minval(pH/(Gravity*Rhonil),mask=ph.NE.0.), |
| 410 |
& maxval(pH/(Gravity*Rhonil)) |
| 411 |
|
| 412 |
RETURN |
| 413 |
END |
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