| 1 |
C $Header: /u/gcmpack/MITgcm_contrib/atnguyen/code_21Dec2012_saltplume/salt_plume_volfrac.F,v 1.6 2014/05/01 21:30:48 atn Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "SALT_PLUME_OPTIONS.h" |
| 5 |
|
| 6 |
CBOP |
| 7 |
C !ROUTINE: SALT_PLUME_VOLFRAC |
| 8 |
C !INTERFACE: |
| 9 |
SUBROUTINE SALT_PLUME_VOLFRAC( |
| 10 |
I bi, bj, myTime, myIter, myThid ) |
| 11 |
|
| 12 |
C !DESCRIPTION: \bv |
| 13 |
C *==========================================================* |
| 14 |
C | SUBROUTINE SALT_PLUME_VOLFRAC |
| 15 |
C | o Compute saltplume penetration. |
| 16 |
C *==========================================================* |
| 17 |
C | Compute fraction of volume flux associated with saltplume |
| 18 |
C | flux penetrating through the entire water columns due to |
| 19 |
C | rejected salt during freezing. |
| 20 |
C | |
| 21 |
C | For example, if surface value is Saltplume0, |
| 22 |
C | and each level gets equal fraction 1/5 down to SPDepth=5, |
| 23 |
C | SALT_PLUME_VOLFRAC will report |
| 24 |
C | dSPvolkLev2Above[2to1,3to2,4to3,5to4,6to5] = [4/5,3/5,2/5,1/5, 0] |
| 25 |
C | dSPvolSurf2kLev [1to1,1to2,1to3,1to4,1to5] = [1/5,1/5,1/5,1/5,1/5] |
| 26 |
C | sum [into5] = 1to5 + 6to5 - 5to4 = 1/5 + 0 - 1/5 = 0 |
| 27 |
C | [into4] = 1to4 + 5to4 - 4to3 = 1/5 + 1/5 - 2/5 = 0 |
| 28 |
C | [into3] = 1to3 + 4to3 - 3to2 = 1/5 + 2/5 - 3/5 = 0 |
| 29 |
C | [into2] = 1to2 + 3to2 - 2to1 = 1/5 + 3/5 - 4/5 = 0 |
| 30 |
C | [into1] = 1to1 + 2to1 - 1to[1,2,3,4,5] = 1/5 + 4/5 - 5/5 = 0 |
| 31 |
C | NOTE: volume will always be conserved. |
| 32 |
C | ===== |
| 33 |
C | Written by : ATN (based on SALT_PLUME_FRAC) |
| 34 |
C | Date : Apr 14, 2014 |
| 35 |
C *==========================================================* |
| 36 |
C \ev |
| 37 |
|
| 38 |
C !USES: |
| 39 |
IMPLICIT NONE |
| 40 |
#include "SIZE.h" |
| 41 |
#include "GRID.h" |
| 42 |
#include "SALT_PLUME.h" |
| 43 |
#include "EEPARAMS.h" |
| 44 |
#include "PARAMS.h" |
| 45 |
|
| 46 |
C !INPUT/OUTPUT PARAMETERS: |
| 47 |
C input arguments |
| 48 |
C SPDpeth :: corresponding SaltPlumeDepth(i,j) at this grid point |
| 49 |
C myTime :: Current time in simulation |
| 50 |
C myIter :: Current iteration number in simulation |
| 51 |
C myThid :: My Thread Id. number |
| 52 |
INTEGER bi,bj |
| 53 |
_RL myTime |
| 54 |
INTEGER myIter |
| 55 |
INTEGER myThid |
| 56 |
C input/output arguments |
| 57 |
C CHARACTER*(MAX_LEN_MBUF) msgBuf |
| 58 |
CEOP |
| 59 |
|
| 60 |
#ifdef ALLOW_SALT_PLUME |
| 61 |
#ifdef SALT_PLUME_VOLUME |
| 62 |
|
| 63 |
C !LOCAL VARIABLES: |
| 64 |
_RL dMbdt (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 65 |
C _RL dVbdt (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 66 |
_RL SPkBottom (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 67 |
_RL SPplumek (1-OLx:sNx+OLx,1-OLy:sNy+OLy,Nr+1) |
| 68 |
_RL dplumek |
| 69 |
_RL locz, zo, z20 |
| 70 |
INTEGER i,j,k,kp1,kk,Nlev,Nrp1 |
| 71 |
_RL three, S, So |
| 72 |
parameter( three = 3. _d 0 ) |
| 73 |
C This is an abbreviation of 1./(exp(1.)-1.) |
| 74 |
_RL recip_expOneM1 |
| 75 |
parameter( recip_expOneM1 = 0.581976706869326343 ) |
| 76 |
|
| 77 |
C initialize at every time step |
| 78 |
Nrp1=Nr+1 |
| 79 |
dplumek = 0. _d 0 |
| 80 |
DO k=1,Nr |
| 81 |
DO j=1-OLy,sNy+OLy |
| 82 |
DO i=1-OLx,sNx+OLx |
| 83 |
dSPvolSurf2kLev(i,j,k,bi,bj) = 0. _d 0 |
| 84 |
C dSPvolBelow2kLev(i,j,k,bi,bj) = 0. _d 0 |
| 85 |
dSPvolkLev2Above(i,j,k,bi,bj) = 0. _d 0 |
| 86 |
C SPplumek(i,j,k,bi,bj) = 1. _d 0 |
| 87 |
SPplumek(i,j,k) = 1. _d 0 |
| 88 |
ENDDO |
| 89 |
ENDDO |
| 90 |
ENDDO |
| 91 |
DO j=1-OLy,sNy+OLy |
| 92 |
DO i=1-OLx,sNx+OLx |
| 93 |
C dSPvolBelow2kLev(i,j,Nrp1,bi,bj) = 0. _d 0 |
| 94 |
C SPplumek(i,j,Nrp1,bi,bj) = 1. _d 0 |
| 95 |
SPplumek(i,j,Nrp1) = 1. _d 0 |
| 96 |
C |
| 97 |
C SPbrineSalt(i,j,bi,bj) = 0. _d 0 |
| 98 |
SPbrineVolFlux(i,j,bi,bj) = 0. _d 0 |
| 99 |
C dVbdt(i,j) = 0. _d 0 |
| 100 |
dMbdt(i,j) = 0. _d 0 |
| 101 |
SPkBottom(i,j) = 0 |
| 102 |
ENDDO |
| 103 |
ENDDO |
| 104 |
|
| 105 |
DO k = 1,Nr+1 |
| 106 |
DO j=1-OLy,sNy+OLy |
| 107 |
DO i=1-OLx,sNx+OLx |
| 108 |
locz = abs(rF(k)) |
| 109 |
|
| 110 |
IF ( SaltPlumeDepth(i,j,bi,bj).GT.locz .and. |
| 111 |
& SaltPlumeDepth(i,j,bi,bj).GT.zeroRL ) THEN |
| 112 |
|
| 113 |
SPkBottom(i,j)=min(k,Nr) |
| 114 |
C Default: uniform distribution, PlumeMethod=1, Npower=0 |
| 115 |
IF (PlumeMethod .EQ. 1) THEN |
| 116 |
zo = abs(SaltPlumeDepth(i,j,bi,bj)) |
| 117 |
S = oneRL !input depth temp |
| 118 |
So = oneRL |
| 119 |
DO kk=1,Npower+1 |
| 120 |
S = locz*S !raise to the Npower+1 |
| 121 |
So = zo*So |
| 122 |
ENDDO |
| 123 |
C SPplumek(i,j,k,bi,bj) = max(zeroRL,S/So) |
| 124 |
SPplumek(i,j,k) = max(zeroRL,S/So) |
| 125 |
|
| 126 |
ELSEIF (PlumeMethod .EQ. 2) THEN !exponential distribution |
| 127 |
z20 = abs(SaltPlumeDepth(i,j,bi,bj)) |
| 128 |
S = exp(locz/z20)-oneRL |
| 129 |
So = recip_expOneM1 !So = exp(one)-one |
| 130 |
C SPplumek(i,j,k,bi,bj) = max(zeroRL,S*So) |
| 131 |
SPplumek(i,j,k) = max(zeroRL,S*So) |
| 132 |
|
| 133 |
C PlumeMethod = 3, distribute salt LINEARLY between SPDepth and |
| 134 |
C SPDepth/SPovershoot |
| 135 |
C (1-SPovershoot)percent has already been taken into account in |
| 136 |
C SPDepth calculation, i.e., SPDepth = SPovershoot*SPDepth. |
| 137 |
ELSEIF (PlumeMethod .EQ. 3) THEN !overshoot 20% |
| 138 |
z20 = abs(SaltPlumeDepth(i,j,bi,bj)) |
| 139 |
zo = z20/SPovershoot |
| 140 |
So = z20-zo |
| 141 |
S = locz-zo |
| 142 |
IF( (locz.GE.zo).AND.(locz.LT.z20) ) THEN |
| 143 |
C SPplumek(i,j,k,bi,bj) = max(zeroRL,S/So) |
| 144 |
SPplumek(i,j,k) = max(zeroRL,S/So) |
| 145 |
ELSE |
| 146 |
C SPplumek(i,j,k,bi,bj) = zeroRL |
| 147 |
SPplumek(i,j,k) = max(zeroRL,S/So) |
| 148 |
ENDIF |
| 149 |
|
| 150 |
C PlumeMethod = 5, dumping all salt at the top layer |
| 151 |
ELSEIF (PlumeMethod .EQ. 5) THEN |
| 152 |
z20 = oneRL |
| 153 |
zo = zeroRL |
| 154 |
IF( (locz.GE.zo).AND.(locz.LT.z20) ) THEN |
| 155 |
C SPplumek(i,j,k,bi,bj) = zeroRL |
| 156 |
SPplumek(i,j,k) = zeroRL |
| 157 |
ELSE |
| 158 |
C SPplumek(i,j,k,bi,bj) = oneRL |
| 159 |
SPplumek(i,j,k) = oneRL |
| 160 |
ENDIF |
| 161 |
ELSEIF (PlumeMethod .EQ. 6) THEN |
| 162 |
C PLumeMethod = 6, currently only works for Npower = 1 and 2. |
| 163 |
z20 = abs(SaltPlumeDepth(i,j,bi,bj)) |
| 164 |
S = oneRL !input depth temp |
| 165 |
So = oneRL |
| 166 |
DO kk=1,Npower+1 |
| 167 |
S = locz*S !raise to the Npower+1 |
| 168 |
So = z20*So |
| 169 |
ENDDO |
| 170 |
IF(Npower.EQ.1) THEN !Npower=1 |
| 171 |
C SPplumek(i,j,k,bi,bj) = max(zeroRL,twoRL/z20*locz-S/So) |
| 172 |
SPplumek(i,j,k) = max(zeroRL,twoRL/z20*locz-S/So) |
| 173 |
ELSE !Npower=2 |
| 174 |
C SPplumek(i,j,k,bi,bj) = max(zeroRL, |
| 175 |
SPplumek(i,j,k) = max(zeroRL, |
| 176 |
& three/z20*locz - three/(z20*z20)*locz*locz + S/So) |
| 177 |
ENDIF |
| 178 |
|
| 179 |
ELSEIF (PlumeMethod .EQ. 7) THEN |
| 180 |
C PLumeMethod = 7, dump an offset parabolla with more salt at surface |
| 181 |
C tapered to zero at depth SPDepth/2, then increased until SPDepth |
| 182 |
C need input SPDepth, NPower = percentage of SPDepth |
| 183 |
C Ex: if Npower = 10 -> (10/2)=5% of SPDepth |
| 184 |
C NPower can be negative integer here. |
| 185 |
C 0 -> parabola centered at SPDepth/2; |
| 186 |
C + -> parabola offset, salt @ surface < @ SPDepth |
| 187 |
C - -> parabola offset, salt @ surface > @ SPDepth |
| 188 |
C S and So are dummy variables |
| 189 |
z20 = abs(SaltPlumeDepth(i,j,bi,bj)) |
| 190 |
zo = z20*(oneRL/twoRL-Npower/200. _d 0) |
| 191 |
So = (z20*z20*z20/three) |
| 192 |
& - (z20*z20)*zo |
| 193 |
& + (z20) *zo*zo |
| 194 |
S = (locz*locz*locz/three) |
| 195 |
& - (locz*locz)*zo |
| 196 |
& + (locz) *zo*zo |
| 197 |
C SPplumek(i,j,k,bi,bj) = max(zeroRL,(S/So)) |
| 198 |
SPplumek(i,j,k) = max(zeroRL,(S/So)) |
| 199 |
|
| 200 |
ELSE |
| 201 |
WRITE(*,*) 'salt_plume_frac: PLumeMethod =', PLumeMethod, |
| 202 |
& 'not implemented' |
| 203 |
STOP 'ABNORMAL in S/R SALT_PLUME_FRAC' |
| 204 |
ENDIF |
| 205 |
ELSE |
| 206 |
C SPplumek(i,j,k,bi,bj) = oneRL |
| 207 |
SPplumek(i,j,k) = oneRL |
| 208 |
ENDIF |
| 209 |
ENDDO |
| 210 |
ENDDO |
| 211 |
ENDDO |
| 212 |
|
| 213 |
C Now calculating dplumek, dSPvolumeUp, dSPvolSurf2kLev |
| 214 |
C units: |
| 215 |
C Sbrine=dsb/dt*dt/(rhoConst*SPalpha*drF)[psu kg/m2/s*s/(kg/m3*m)]=[psu] |
| 216 |
C SPplumek : fraction : unitless |
| 217 |
C SaltPlumeFlux: dsb/dt [psu.kg/m^2/s = g/m^2/s] |
| 218 |
C brine_mass_flux dMb/dt = dsb/dt / Sbrine [kg/m2/s] |
| 219 |
C = dsb/dt / (dsb/dt*dt/(rhoConst*SPalpha*drF)) |
| 220 |
C = rhoConst*SPalpha*drF/dt [kg/m3 m/s]=[kg/m2/s] |
| 221 |
C dVbrine/dt = dMb/dt 1/rhoConst [m/s] |
| 222 |
|
| 223 |
C has 2 ways to define brine properties: either provide |
| 224 |
C (A) SPalpha: vol frac or (B) SPbrineSalt: brine salinity. |
| 225 |
C (A) SPalpha: can calc SPbrineSalt as fxn of dhice/dt, |
| 226 |
C constrained by SPbrineSaltmax: |
| 227 |
C SPbrineSalt=SaltPlumeFlux/rhoConst/SPalpha/drF(1)*dt |
| 228 |
C SPbrineSalt=min(SPbrineSalt,SPbrineSaltmax) |
| 229 |
C dMbdt = saltPlumeFlux / SPbrineSalt |
| 230 |
C = rhoConst*SPalpha*drF(1)/dt <-- a function of SPalpha |
| 231 |
C (B) SPbrinesalt provided |
| 232 |
C dMbdt = saltPlumeFlux / SPbrineSalt <-- fxn of SPbrineSalt |
| 233 |
|
| 234 |
C Assuming we go with (B) here: |
| 235 |
DO j=1-OLy,sNy+OLy |
| 236 |
DO i=1-OLx,sNx+OLx |
| 237 |
C brine salinity at surface: |
| 238 |
C SPbrineSalt(i,j,bi,bj)= saltPlumeFlux(i,j,bi,bj)/SPalpha |
| 239 |
C & *mass2rUnit*recip_drF(1)*dTtracerLev(1) |
| 240 |
C SPbrineSalt(i,j,bi,bj) = SPbrineSconst |
| 241 |
C SPbrineSalt(i,j,bi,bj) = min( SPbrineSalt(i,j,bi,bj) |
| 242 |
C & ,SPbrineSaltmax ) |
| 243 |
C brine mass and volume at surface: |
| 244 |
dMbdt(i,j)=saltPlumeFlux(i,j,bi,bj)/SPbrineSconst |
| 245 |
C dVbdt(i,j)=dMbdt(i,j)*mass2rUnit |
| 246 |
SPbrineVolFlux(i,j,bi,bj)=dMbdt(i,j)*mass2rUnit |
| 247 |
ENDDO |
| 248 |
ENDDO |
| 249 |
|
| 250 |
C Distributing down: this is always from level 1 to depth |
| 251 |
DO k=Nr,1,-1 |
| 252 |
DO j=1-OLy,sNy+OLy |
| 253 |
DO i=1-OLx,sNx+OLx |
| 254 |
C dplumek=SPplumek(i,j,k+1,bi,bj)-SPplumek(i,j,k,bi,bj) |
| 255 |
dplumek=SPplumek(i,j,k+1)-SPplumek(i,j,k) |
| 256 |
C dSPvolSurf2kLev(i,j,k,bi,bj)=dplumek*dVbdt(i,j) |
| 257 |
dSPvolSurf2kLev(i,j,k,bi,bj)=dplumek*SPbrineVolFlux(i,j,bi,bj) |
| 258 |
ENDDO |
| 259 |
ENDDO |
| 260 |
ENDDO |
| 261 |
|
| 262 |
C Now volume up: need to scan from bottom of SPDepth |
| 263 |
DO j=1-OLy,sNy+OLy |
| 264 |
DO i=1-OLx,sNx+OLx |
| 265 |
Nlev=SPkBottom(i,j) |
| 266 |
IF(Nlev.GE.1 .AND. Nlev.LE.Nr) THEN |
| 267 |
DO k=Nlev,1,-1 |
| 268 |
kp1=k+1 |
| 269 |
C dSPvolBelow2kLev(i,j,k,bi,bj)=-dSPvolkLev2Above(i,j,k+1,bi,bj) |
| 270 |
C dSPvolkLev2Above(i,j,k,bi,bj)=-(dSPvolBelow2kLev(i,j,k,bi,bj) |
| 271 |
C & + dSPvolSurf2kLev(i,j,k,bi,bj)) |
| 272 |
dSPvolkLev2Above(i,j,k,bi,bj)=dSPvolkLev2Above(i,j,kp1,bi,bj) |
| 273 |
& - dSPvolSurf2kLev(i,j,k,bi,bj) |
| 274 |
ENDDO |
| 275 |
ENDIF |
| 276 |
ENDDO |
| 277 |
ENDDO |
| 278 |
|
| 279 |
#ifdef ALLOW_DIAGNOSTICS |
| 280 |
IF ( useDiagnostics ) THEN |
| 281 |
C CALL DIAGNOSTICS_FILL( |
| 282 |
C & SPkBottom,'SPkbottm',0,1,1,bi,bj,myThid ) |
| 283 |
C CALL DIAGNOSTICS_FILL( |
| 284 |
C & SPbrineSalt,'SPbrineS',0,1,1,bi,bj,myThid ) |
| 285 |
CALL DIAGNOSTICS_FILL( |
| 286 |
& SPplumek,'PLUMEKB ',0,Nr,2,bi,bj,myThid ) |
| 287 |
C CALL DIAGNOSTICS_FILL( |
| 288 |
C & SPplumek,'PLUMEKB ',0,Nr,1,bi,bj,myThid ) |
| 289 |
C CALL DIAGNOSTICS_FILL( |
| 290 |
C & dSPvolSurf2kLev,'SPVs2k ',0,Nr,1,bi,bj,myThid ) |
| 291 |
C CALL DIAGNOSTICS_FILL( |
| 292 |
C & dSPvolBelow2kLev,'SPVp2k ',0,Nr,1,bi,bj,myThid ) |
| 293 |
C CALL DIAGNOSTICS_FILL( |
| 294 |
C & dSPvolkLev2Above,'SPVk2m ',0,Nr,1,bi,bj,myThid ) |
| 295 |
ENDIF |
| 296 |
#endif /* ALLOW_DIAGNOSTICS */ |
| 297 |
|
| 298 |
#endif /* SALT_PLUME_VOLUME */ |
| 299 |
#endif /* ALLOW_SALT_PLUME */ |
| 300 |
|
| 301 |
RETURN |
| 302 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph