| 1 |
C $Header: /u/gcmpack/MITgcm/pkg/my82/my82_ri_number.F,v 1.4 2008/08/11 22:28:06 jmc Exp $ |
| 2 |
C $Name: $ |
| 3 |
|
| 4 |
#include "MY82_OPTIONS.h" |
| 5 |
|
| 6 |
CBOP |
| 7 |
C !ROUTINE: MY82_RI_NUMBER |
| 8 |
|
| 9 |
C !INTERFACE: ========================================================== |
| 10 |
subroutine MY82_RI_NUMBER( |
| 11 |
I bi, bj, K, iMin, iMax, jMin, jMax, |
| 12 |
O RiNumber, buoyFreq, vertShear, |
| 13 |
I myTime, myThid ) |
| 14 |
|
| 15 |
C !DESCRIPTION: \bv |
| 16 |
C /==========================================================\ |
| 17 |
C | SUBROUTINE MY82_RI_NUMBER | |
| 18 |
C | o Compute gradient Richardson number for Mellor and | |
| 19 |
C | Yamada (1981) turbulence model | |
| 20 |
C \==========================================================/ |
| 21 |
IMPLICIT NONE |
| 22 |
c |
| 23 |
c------------------------------------------------------------------------- |
| 24 |
|
| 25 |
c \ev |
| 26 |
|
| 27 |
C !USES: =============================================================== |
| 28 |
#include "SIZE.h" |
| 29 |
#include "EEPARAMS.h" |
| 30 |
#include "PARAMS.h" |
| 31 |
#include "DYNVARS.h" |
| 32 |
#include "MY82.h" |
| 33 |
#include "GRID.h" |
| 34 |
|
| 35 |
C !INPUT PARAMETERS: =================================================== |
| 36 |
C Routine arguments |
| 37 |
C bi, bj - array indices on which to apply calculations |
| 38 |
C iMin, iMax, jMin, jMax |
| 39 |
C - array boundaries |
| 40 |
C k - depth level |
| 41 |
C myTime - Current time in simulation |
| 42 |
C RiNumber - (output) Richardson number |
| 43 |
C buoyFreq - (output) (neg.) buoyancy frequency -N^2 |
| 44 |
C vertShear - (output) vertical shear of velocity |
| 45 |
INTEGER bi, bj, iMin, iMax, jMin, jMax, k |
| 46 |
INTEGER myThid |
| 47 |
_RL myTime |
| 48 |
_RL RiNumber (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 49 |
_RL buoyFreq (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 50 |
_RL vertShear (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 51 |
|
| 52 |
#ifdef ALLOW_MY82 |
| 53 |
|
| 54 |
C !LOCAL VARIABLES: ==================================================== |
| 55 |
C I,J,kUp - loop indices |
| 56 |
C p0-125 - averaging coefficients |
| 57 |
C tempu, tempv - temporary variables |
| 58 |
C rhoK, rhoKm1 - Density below and above current interface |
| 59 |
C epsilon - small number |
| 60 |
INTEGER I,J,Km1 |
| 61 |
_RL p5 , p125 |
| 62 |
PARAMETER( p5=0.5D0, p125=0.125D0 ) |
| 63 |
_RL tempu, tempv |
| 64 |
_RL epsilon |
| 65 |
PARAMETER ( epsilon = 1.D-10 ) |
| 66 |
_RL rhoKm1 (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 67 |
_RL rhoK (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 68 |
#ifdef MY82_SMOOTH_RI |
| 69 |
_RL RiTmp (1-OLx:sNx+OLx,1-OLy:sNy+OLy) |
| 70 |
#endif /* MY82_SMOOTH_RI */ |
| 71 |
CEOP |
| 72 |
|
| 73 |
Km1 = MAX(1,K-1) |
| 74 |
C Not sure what is correct for pressure coordinates: |
| 75 |
C RiFlux is always correct because it quadratic |
| 76 |
C buoyFreq should also be correct in pressure coordinates: |
| 77 |
C N^2=g^2drho/dp and K=1 at the bottom leads to the correct sign |
| 78 |
C So the following is wrong: |
| 79 |
CML IF ( buoyancyRelation .EQ. 'OCEANIC') THEN |
| 80 |
CML kUp = MAX(1,K-1) |
| 81 |
CML kDown = K |
| 82 |
CML ELSEIF ( buoyancyRelation .EQ. 'OCEANIP') THEN |
| 83 |
CML kUp = K |
| 84 |
CML kDown = MAX(1,K-1) |
| 85 |
CML ELSE |
| 86 |
CML STOP 'MY82_RI_NUMBER: We should never reach this point' |
| 87 |
CML ENDIF |
| 88 |
C preparation: find density a kth and k-1st level |
| 89 |
CALL FIND_RHO_2D( |
| 90 |
I iMin, iMax, jMin, jMax, K, |
| 91 |
I theta(1-OLx,1-OLy,Km1,bi,bj), salt(1-OLx,1-OLy,Km1,bi,bj), |
| 92 |
O rhoKm1, |
| 93 |
I Km1, bi, bj, myThid ) |
| 94 |
CALL FIND_RHO_2D( |
| 95 |
I iMin, iMax, jMin, jMax, K, |
| 96 |
I theta(1-OLx,1-OLy,K,bi,bj), salt(1-OLx,1-OLy,K,bi,bj), |
| 97 |
O rhoK, |
| 98 |
I K, bi, bj, myThid ) |
| 99 |
|
| 100 |
C first step: calculate flux Richardson number. |
| 101 |
C calculate (du/dz)^2 + (dv/dz)^2 on W (between T) points. |
| 102 |
DO J= jMin, jMax |
| 103 |
DO I = iMin, iMax |
| 104 |
tempu= .5 _d 0*( uVel(I,J,Km1,bi,bj)+uVel(I+1,J,Km1,bi,bj) |
| 105 |
& - (uVel(I,J,K ,bi,bj)+uVel(I+1,J,K ,bi,bj)) ) |
| 106 |
& *recip_drC(K) |
| 107 |
tempv= .5 _d 0*( vVel(I,J,Km1,bi,bj)+vVel(I,J+1,Km1,bi,bj) |
| 108 |
& - (vVel(I,J,K ,bi,bj)+vVel(I,J+1,K ,bi,bj)) ) |
| 109 |
& *recip_drC(K) |
| 110 |
vertShear(I,J) = tempu*tempu+tempv*tempv |
| 111 |
|
| 112 |
C |
| 113 |
C calculate g*(drho/dz)/rho0= -N^2 . |
| 114 |
C |
| 115 |
buoyFreq(I,J) = gravity*mass2rUnit * |
| 116 |
& (rhoKm1(I,J) - rhoK(I,J))*recip_drC(K) |
| 117 |
C |
| 118 |
C calculates gradient Richardson number, bounded by |
| 119 |
C a very large negative value. |
| 120 |
C |
| 121 |
RiNumber(I,J) = -buoyFreq(I,J)/max(vertShear(I,J),epsilon) |
| 122 |
|
| 123 |
ENDDO |
| 124 |
ENDDO |
| 125 |
|
| 126 |
#ifdef MY82_SMOOTH_RI |
| 127 |
C average Richardson number horizontally |
| 128 |
DO J=jMin,jMax |
| 129 |
DO I=iMin,iMax |
| 130 |
RiTmp(I,J) = RiNumber(I,J) |
| 131 |
ENDDO |
| 132 |
ENDDO |
| 133 |
DO J=1-Oly+1,sNy+Oly-1 |
| 134 |
DO I=1-Olx+1,sNx+Olx-1 |
| 135 |
RiNumber(I,J) = p5*RiTmp(I,J) |
| 136 |
& + p125*RiTmp(I-1,J) + p125*RiTmp(I+1,J) |
| 137 |
& + p125*RiTmp(I,J-1) + p125*RiTmp(I,J+1) |
| 138 |
ENDDO |
| 139 |
ENDDO |
| 140 |
#endif /* MY82_SMOOTH_RI */ |
| 141 |
|
| 142 |
#endif /* ALLOW_MY82 */ |
| 143 |
|
| 144 |
RETURN |
| 145 |
END |
Parent Directory
| 
Revision Log
| 
Revision Graph