[2198] | 1 | MODULE sbcdcy |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE sbcdcy *** |
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| 4 | !! Ocean forcing: compute the diurnal cycle |
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| 5 | !!====================================================================== |
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| 6 | !! History : OPA ! 2005-02 (D. Bernie) Original code |
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| 7 | !! NEMO 2.0 ! 2006-02 (S. Masson, G. Madec) adaptation to NEMO |
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| 8 | !! 3.1 ! 2009-07 (J.M. Molines) adaptation to v3.1 |
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| 9 | !!---------------------------------------------------------------------- |
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| 10 | |
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| 11 | !!---------------------------------------------------------------------- |
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[2715] | 12 | !! sbc_dcy : solar flux at kt from daily mean, taking diurnal cycle into account |
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[2198] | 13 | !!---------------------------------------------------------------------- |
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| 14 | USE oce ! ocean dynamics and tracers |
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| 15 | USE phycst ! ocean physics |
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| 16 | USE dom_oce ! ocean space and time domain |
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[2228] | 17 | USE sbc_oce ! Surface boundary condition: ocean fields |
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[2198] | 18 | USE in_out_manager ! I/O manager |
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[2715] | 19 | USE lib_mpp ! MPP library |
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[3294] | 20 | USE timing ! Timing |
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[2198] | 21 | |
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| 22 | IMPLICIT NONE |
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| 23 | PRIVATE |
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[2715] | 24 | |
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| 25 | INTEGER, PUBLIC :: nday_qsr !: day when parameters were computed |
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| 26 | |
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| 27 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: raa , rbb , rcc , rab ! diurnal cycle parameters |
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| 28 | REAL(wp), ALLOCATABLE, SAVE, DIMENSION(:,:) :: rtmd, rdawn, rdusk, rscal ! - - - |
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[2198] | 29 | |
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[2715] | 30 | PUBLIC sbc_dcy ! routine called by sbc |
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[2198] | 31 | |
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| 32 | !!---------------------------------------------------------------------- |
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| 33 | !! NEMO/OPA 3.3 , NEMO-consortium (2010) |
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| 34 | !! $Id$ |
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[2715] | 35 | !! Software governed by the CeCILL licence (NEMOGCM/NEMO_CeCILL.txt) |
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[2198] | 36 | !!---------------------------------------------------------------------- |
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| 37 | CONTAINS |
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| 38 | |
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[2715] | 39 | INTEGER FUNCTION sbc_dcy_alloc() |
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| 40 | !!---------------------------------------------------------------------- |
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| 41 | !! *** FUNCTION sbc_dcy_alloc *** |
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| 42 | !!---------------------------------------------------------------------- |
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| 43 | ALLOCATE( raa (jpi,jpj) , rbb (jpi,jpj) , rcc (jpi,jpj) , rab (jpi,jpj) , & |
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| 44 | & rtmd(jpi,jpj) , rdawn(jpi,jpj) , rdusk(jpi,jpj) , rscal(jpi,jpj) , STAT=sbc_dcy_alloc ) |
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| 45 | ! |
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| 46 | IF( lk_mpp ) CALL mpp_sum ( sbc_dcy_alloc ) |
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| 47 | IF( sbc_dcy_alloc /= 0 ) CALL ctl_warn('sbc_dcy_alloc: failed to allocate arrays') |
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| 48 | END FUNCTION sbc_dcy_alloc |
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| 49 | |
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| 50 | |
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| 51 | FUNCTION sbc_dcy( pqsrin ) RESULT( zqsrout ) |
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[2198] | 52 | !!---------------------------------------------------------------------- |
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| 53 | !! *** ROUTINE sbc_dcy *** |
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| 54 | !! |
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| 55 | !! ** Purpose : introduce a diurnal cycle of qsr from daily values |
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| 56 | !! |
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| 57 | !! ** Method : see Appendix A of Bernie et al. 2007. |
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| 58 | !! |
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| 59 | !! ** Action : redistribute daily QSR on each time step following the diurnal cycle |
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| 60 | !! |
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| 61 | !! reference : Bernie, DJ, E Guilyardi, G Madec, JM Slingo, and SJ Woolnough, 2007 |
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| 62 | !! Impact of resolving the diurnal cycle in an ocean--atmosphere GCM. |
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| 63 | !! Part 1: a diurnally forced OGCM. Climate Dynamics 29:6, 575-590. |
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| 64 | !!---------------------------------------------------------------------- |
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[2228] | 65 | REAL(wp), DIMENSION(jpi,jpj), INTENT(in) :: pqsrin ! input daily QSR flux |
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[2198] | 66 | !! |
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[2228] | 67 | INTEGER :: ji, jj ! dummy loop indices |
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[2198] | 68 | REAL(wp) :: ztwopi, zinvtwopi, zconvrad |
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| 69 | REAL(wp) :: zlo, zup, zlousd, zupusd |
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[2228] | 70 | REAL(wp) :: zdsws, zdecrad, ztx, zsin, zcos |
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[2198] | 71 | REAL(wp) :: ztmp, ztmp1, ztmp2, ztest |
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[2228] | 72 | REAL(wp), DIMENSION(jpi,jpj) :: zqsrout ! output QSR flux with diurnal cycle |
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[2198] | 73 | !---------------------------statement functions------------------------ |
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[2228] | 74 | REAL(wp) :: fintegral, pt1, pt2, paaa, pbbb, pccc ! dummy statement function arguments |
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[2198] | 75 | fintegral( pt1, pt2, paaa, pbbb, pccc ) = & |
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| 76 | & paaa * pt2 + zinvtwopi * pbbb * SIN(pccc + ztwopi * pt2) & |
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| 77 | & - paaa * pt1 - zinvtwopi * pbbb * SIN(pccc + ztwopi * pt1) |
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| 78 | !!--------------------------------------------------------------------- |
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[3294] | 79 | ! |
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| 80 | IF( nn_timing == 1 ) CALL timing_start('sbc_dcy') |
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| 81 | ! |
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[2198] | 82 | ! Initialization |
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| 83 | ! -------------- |
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[2715] | 84 | ztwopi = 2._wp * rpi |
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| 85 | zinvtwopi = 1._wp / ztwopi |
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| 86 | zconvrad = ztwopi / 360._wp |
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[2198] | 87 | |
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| 88 | ! When are we during the day (from 0 to 1) |
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[2715] | 89 | zlo = ( REAL(nsec_day, wp) - 0.5_wp * rdttra(1) ) / rday |
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| 90 | zup = zlo + ( REAL(nn_fsbc, wp) * rdttra(1) ) / rday |
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[2198] | 91 | ! |
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[2228] | 92 | IF( nday_qsr == -1 ) THEN ! first time step only |
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[2198] | 93 | IF(lwp) THEN |
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| 94 | WRITE(numout,*) |
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| 95 | WRITE(numout,*) 'sbc_dcy : introduce diurnal cycle from daily mean qsr' |
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| 96 | WRITE(numout,*) '~~~~~~~' |
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| 97 | WRITE(numout,*) |
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| 98 | ENDIF |
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[2715] | 99 | ! allocate sbcdcy arrays |
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| 100 | IF( sbc_dcy_alloc() /= 0 ) CALL ctl_stop( 'STOP', 'sbc_dcy_alloc : unable to allocate arrays' ) |
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[2198] | 101 | ! Compute rcc needed to compute the time integral of the diurnal cycle |
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| 102 | rcc(:,:) = zconvrad * glamt(:,:) - rpi |
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| 103 | ! time of midday |
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| 104 | rtmd(:,:) = 0.5 - glamt(:,:) / 360. |
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| 105 | rtmd(:,:) = MOD( (rtmd(:,:) + 1.), 1. ) |
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| 106 | ENDIF |
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| 107 | |
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| 108 | ! If this is a new day, we have to update the dawn, dusk and scaling function |
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| 109 | !---------------------- |
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| 110 | |
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| 111 | ! 2.1 dawn and dusk |
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| 112 | |
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| 113 | ! nday is the number of days since the beginning of the current month |
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| 114 | IF( nday_qsr /= nday ) THEN |
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| 115 | ! save the day of the year and the daily mean of qsr |
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| 116 | nday_qsr = nday |
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| 117 | ! number of days since the previous winter solstice (supposed to be always 21 December) |
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[2228] | 118 | zdsws = REAL(11 + nday_year, wp) |
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[2198] | 119 | ! declination of the earths orbit |
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| 120 | zdecrad = (-23.5 * zconvrad) * COS( zdsws * ztwopi / REAL(nyear_len(1),wp) ) |
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| 121 | ! Compute A and B needed to compute the time integral of the diurnal cycle |
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| 122 | |
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[2228] | 123 | zsin = SIN( zdecrad ) ; zcos = COS( zdecrad ) |
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[2198] | 124 | DO jj = 1, jpj |
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| 125 | DO ji = 1, jpi |
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| 126 | ztmp = zconvrad * gphit(ji,jj) |
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[2228] | 127 | raa(ji,jj) = SIN( ztmp ) * zsin |
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| 128 | rbb(ji,jj) = COS( ztmp ) * zcos |
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[2198] | 129 | END DO |
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| 130 | END DO |
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| 131 | |
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| 132 | ! Compute the time of dawn and dusk |
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| 133 | |
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| 134 | ! rab to test if the day time is equal to 0, less than 24h of full day |
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| 135 | rab(:,:) = -raa(:,:) / rbb(:,:) |
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| 136 | DO jj = 1, jpj |
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| 137 | DO ji = 1, jpi |
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| 138 | IF ( ABS(rab(ji,jj)) < 1 ) THEN ! day duration is less than 24h |
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| 139 | ! When is it night? |
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| 140 | ztx = zinvtwopi * (ACOS(rab(ji,jj)) - rcc(ji,jj)) |
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| 141 | ztest = -rbb(ji,jj) * SIN( rcc(ji,jj) + ztwopi * ztx ) |
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| 142 | ! is it dawn or dusk? |
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| 143 | IF ( ztest > 0 ) THEN |
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| 144 | rdawn(ji,jj) = ztx |
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| 145 | rdusk(ji,jj) = rtmd(ji,jj) + ( rtmd(ji,jj) - rdawn(ji,jj) ) |
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| 146 | ELSE |
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| 147 | rdusk(ji,jj) = ztx |
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| 148 | rdawn(ji,jj) = rtmd(ji,jj) - ( rdusk(ji,jj) - rtmd(ji,jj) ) |
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| 149 | ENDIF |
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| 150 | ELSE |
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| 151 | rdawn(ji,jj) = rtmd(ji,jj) + 0.5 |
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| 152 | rdusk(ji,jj) = rdawn(ji,jj) |
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| 153 | ENDIF |
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| 154 | END DO |
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| 155 | END DO |
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[2715] | 156 | rdawn(:,:) = MOD( (rdawn(:,:) + 1._wp), 1._wp ) |
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| 157 | rdusk(:,:) = MOD( (rdusk(:,:) + 1._wp), 1._wp ) |
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[2198] | 158 | |
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| 159 | ! 2.2 Compute the scalling function: |
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| 160 | ! S* = the inverse of the time integral of the diurnal cycle from dawm to dusk |
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| 161 | DO jj = 1, jpj |
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| 162 | DO ji = 1, jpi |
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| 163 | IF ( ABS(rab(ji,jj)) < 1 ) THEN ! day duration is less than 24h |
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| 164 | IF ( rdawn(ji,jj) < rdusk(ji,jj) ) THEN ! day time in one part |
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| 165 | rscal(ji,jj) = fintegral(rdawn(ji,jj), rdusk(ji,jj), raa(ji,jj), rbb(ji,jj), rcc(ji,jj)) |
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| 166 | rscal(ji,jj) = 1. / rscal(ji,jj) |
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| 167 | ELSE ! day time in two parts |
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| 168 | rscal(ji,jj) = fintegral(0., rdusk(ji,jj), raa(ji,jj), rbb(ji,jj), rcc(ji,jj)) & |
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| 169 | & + fintegral(rdawn(ji,jj), 1., raa(ji,jj), rbb(ji,jj), rcc(ji,jj)) |
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| 170 | rscal(ji,jj) = 1. / rscal(ji,jj) |
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| 171 | ENDIF |
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| 172 | ELSE |
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| 173 | IF ( raa(ji,jj) > rbb(ji,jj) ) THEN ! 24h day |
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| 174 | rscal(ji,jj) = fintegral(0., 1., raa(ji,jj), rbb(ji,jj), rcc(ji,jj)) |
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| 175 | rscal(ji,jj) = 1. / rscal(ji,jj) |
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| 176 | ELSE ! No day |
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| 177 | rscal(ji,jj) = 0.e0 |
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| 178 | ENDIF |
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| 179 | ENDIF |
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| 180 | END DO |
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| 181 | END DO |
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| 182 | ! |
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[2228] | 183 | ztmp = rday / ( rdttra(1) * REAL(nn_fsbc, wp) ) |
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[2198] | 184 | rscal(:,:) = rscal(:,:) * ztmp |
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[2715] | 185 | ! |
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[2198] | 186 | ENDIF |
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| 187 | |
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| 188 | ! 3. update qsr with the diurnal cycle |
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| 189 | ! ------------------------------------ |
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| 190 | |
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| 191 | DO jj = 1, jpj |
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| 192 | DO ji = 1, jpi |
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| 193 | IF( ABS(rab(ji,jj)) < 1 ) THEN ! day duration is less than 24h |
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| 194 | ! |
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| 195 | IF( rdawn(ji,jj) < rdusk(ji,jj) ) THEN ! day time in one part |
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| 196 | zlousd = MAX(zlo, rdawn(ji,jj)) |
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| 197 | zlousd = MIN(zlousd, zup) |
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| 198 | zupusd = MIN(zup, rdusk(ji,jj)) |
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| 199 | zupusd = MAX(zupusd, zlo) |
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| 200 | ztmp = fintegral(zlousd, zupusd, raa(ji,jj), rbb(ji,jj), rcc(ji,jj)) |
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[2228] | 201 | zqsrout(ji,jj) = pqsrin(ji,jj) * ztmp * rscal(ji,jj) |
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[2198] | 202 | ! |
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| 203 | ELSE ! day time in two parts |
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| 204 | zlousd = MIN(zlo, rdusk(ji,jj)) |
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| 205 | zupusd = MIN(zup, rdusk(ji,jj)) |
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| 206 | ztmp1 = fintegral(zlousd, zupusd, raa(ji,jj), rbb(ji,jj), rcc(ji,jj)) |
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| 207 | zlousd = MAX(zlo, rdawn(ji,jj)) |
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| 208 | zupusd = MAX(zup, rdawn(ji,jj)) |
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| 209 | ztmp2 = fintegral(zlousd, zupusd, raa(ji,jj), rbb(ji,jj), rcc(ji,jj)) |
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| 210 | ztmp = ztmp1 + ztmp2 |
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[2228] | 211 | zqsrout(ji,jj) = pqsrin(ji,jj) * ztmp * rscal(ji,jj) |
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[2198] | 212 | ENDIF |
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| 213 | ELSE ! 24h light or 24h night |
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| 214 | ! |
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[2228] | 215 | IF( raa(ji,jj) > rbb(ji,jj) ) THEN ! 24h day |
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[2198] | 216 | ztmp = fintegral(zlo, zup, raa(ji,jj), rbb(ji,jj), rcc(ji,jj)) |
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[2228] | 217 | zqsrout(ji,jj) = pqsrin(ji,jj) * ztmp * rscal(ji,jj) |
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[2198] | 218 | ! |
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| 219 | ELSE ! No day |
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[2228] | 220 | zqsrout(ji,jj) = 0.e0 |
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[2198] | 221 | ENDIF |
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| 222 | ENDIF |
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| 223 | END DO |
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| 224 | END DO |
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| 225 | ! |
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[3294] | 226 | IF( nn_timing == 1 ) CALL timing_stop('sbc_dcy') |
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| 227 | ! |
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[2228] | 228 | END FUNCTION sbc_dcy |
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[2198] | 229 | |
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| 230 | !!====================================================================== |
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| 231 | END MODULE sbcdcy |
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