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| 2 | |
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| 3 | SUBROUTINE SISVAT_zSn |
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| 4 | |
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| 5 | ! +------------------------------------------------------------------------+ |
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| 6 | ! | MAR SISVAT_zSn 12-07-2019 MAR | |
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| 7 | ! | SubRoutine SISVAT_zSn manages the Snow Pack vertical Discretization | |
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| 8 | ! | | |
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| 9 | ! +------------------------------------------------------------------------+ |
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| 10 | ! | | |
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| 11 | ! | PARAMETERS: knonv: Total Number of columns = | |
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| 12 | ! | ^^^^^^^^^^ = Total Number of continental grid boxes | |
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| 13 | ! | X Number of Mosaic Cell per grid box | |
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| 14 | ! | | |
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| 15 | ! | INPUT / NLaysv = New Snow Layer Switch | |
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| 16 | ! | OUTPUT: isnoSV = total Nb of Ice/Snow Layers | |
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| 17 | ! | ^^^^^^ ispiSV = 0,...,nsno: Uppermost Superimposed Ice Layer | |
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| 18 | ! | iiceSV = total Nb of Ice Layers | |
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| 19 | ! | istoSV = 0,...,5 : Snow History (see istdSV data) | |
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| 20 | ! | | |
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| 21 | ! | INPUT / TsisSV : Soil/Ice Temperatures (layers -nsol,-nsol+1,..,0)| |
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| 22 | ! | OUTPUT: & Snow Temperatures (layers 1,2,...,nsno) [K] | |
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| 23 | ! | ^^^^^^ ro__SV : Soil/Snow Volumic Mass [kg/m3] | |
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| 24 | ! | eta_SV : Soil/Snow Water Content [m3/m3] | |
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| 25 | ! | dzsnSV : Snow Layer Thickness [m] | |
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| 26 | ! | G1snSV : Dendricity (<0) or Sphericity (>0) of Snow Layer | |
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| 27 | ! | G2snSV : Sphericity (>0) or Size of Snow Layer | |
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| 28 | ! | agsnSV : Snow Age [day] | |
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| 29 | ! | | |
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| 30 | ! | METHOD: 1) Agregate the thinest Snow Layer | |
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| 31 | ! | ^^^^^^ if a new Snow Layer has been precipitated (NLaysv = 1) | |
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| 32 | ! | 2) Divide a too thick Snow Layer except | |
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| 33 | ! | if the maximum Number of Layer is reached | |
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| 34 | ! | in this case forces NLay_s = 1 | |
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| 35 | ! | 3) Agregate the thinest Snow Layer | |
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| 36 | ! | in order to divide a too thick Snow Layer | |
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| 37 | ! | at next Time Step when NLay_s = 1 | |
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| 38 | ! | | |
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| 39 | ! +------------------------------------------------------------------------+ |
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| 40 | |
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| 41 | |
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| 42 | |
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| 43 | |
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| 44 | ! +--Global Variables |
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| 45 | ! + ================ |
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| 46 | |
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| 47 | |
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| 48 | USE VARphy |
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| 49 | USE VAR_SV |
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| 50 | USE VARdSV |
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| 51 | USE VAR0SV |
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| 52 | USE VARxSV |
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| 53 | USE VARySV |
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| 54 | USE surface_data, ONLY: ok_zsn_ii |
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| 55 | |
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| 56 | IMPLICIT NONE |
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| 57 | |
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| 58 | |
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| 59 | ! +--Internal Variables |
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| 60 | ! + ================== |
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| 61 | |
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| 62 | INTEGER :: ikl ,isn ,i ! |
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| 63 | |
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| 64 | |
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| 65 | |
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| 66 | |
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| 67 | |
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| 68 | |
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| 69 | INTEGER :: NLay_s(knonv) ! Split Snow Layer Switch |
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| 70 | INTEGER :: isagr1(knonv) ! 1st Layer History |
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| 71 | INTEGER :: isagr2(knonv) ! 2nd Layer History |
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| 72 | INTEGER :: LstLay ! 0 ====> isnoSV = 1 |
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| 73 | INTEGER :: isno_n ! Snow Normal.Profile |
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| 74 | INTEGER :: iice_n ! Ice Normal.Profile |
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| 75 | INTEGER :: iiceOK ! Ice Switch |
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| 76 | INTEGER :: icemix ! 0 ====> Agregated Snow+Ice=Snow |
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| 77 | ! + ! 1 Ice |
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| 78 | INTEGER :: isn1 (knonv) ! 1st layer to stagger |
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| 79 | REAL :: staggr ! stagger Switch |
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| 80 | |
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| 81 | REAL :: WEagre(knonv) ! Snow Water Equivalent Thickness |
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| 82 | REAL :: dzthin(knonv) ! Thickness of the thinest layer |
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| 83 | REAL :: OKthin ! Swich ON a new thinest layer |
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| 84 | REAL :: dz_dif ! difference from ideal discret. |
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| 85 | REAL :: thickL ! Thick Layer Indicator |
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| 86 | REAL :: OK_ICE ! Swich ON uppermost Ice Layer |
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| 87 | |
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| 88 | REAL :: Agrege(knonv) ! 1. when Agregation constrained |
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| 89 | REAL :: dzepsi ! Min Single Snw Layer Thickness |
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| 90 | REAL :: dzxmin ! Min Acceptable Layer Thickness |
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| 91 | REAL :: dz_min ! Min Layer Thickness |
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| 92 | REAL :: dz_max ! Max Layer Thickness |
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| 93 | REAL :: dzagr1(knonv) ! 1st Layer Thickness |
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| 94 | REAL :: dzagr2(knonv) ! 2nd Layer Thickness |
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| 95 | REAL :: T_agr1(knonv) ! 1st Layer Temperature |
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| 96 | REAL :: T_agr2(knonv) ! 2nd Layer Temperature |
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| 97 | REAL :: roagr1(knonv) ! 1st Layer Density |
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| 98 | REAL :: roagr2(knonv) ! 2nd Layer Density |
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| 99 | REAL :: etagr1(knonv) ! 1st Layer Water Content |
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| 100 | REAL :: etagr2(knonv) ! 2nd Layer Water Content |
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| 101 | REAL :: G1agr1(knonv) ! 1st Layer Dendricity/Spher. |
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| 102 | REAL :: G1agr2(knonv) ! 2nd Layer Dendricity/Spher. |
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| 103 | REAL :: G2agr1(knonv) ! 1st Layer Sphericity/Size |
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| 104 | REAL :: G2agr2(knonv) ! 2nd Layer Sphericity/Size |
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| 105 | REAL :: agagr1(knonv) ! 1st Layer Age |
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| 106 | REAL :: agagr2(knonv) ! 2nd Layer Age |
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| 107 | |
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| 108 | |
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| 109 | ! +--DATA |
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| 110 | ! + ==== |
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| 111 | |
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| 112 | data icemix / 0 / ! 0 ====> Agregated Snow+Ice=Snow |
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| 113 | data dzepsi / 0.0020/ ! Min single Layer Thickness |
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| 114 | data dzxmin / 0.0025/ ! Min accept.Layer Thickness |
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| 115 | ! #EU data dz_min / 0.0050/ ! Min Local Layer Thickness < SMn |
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| 116 | data dz_min / 0.0040/ ! Min Local Layer Thickness < SMn |
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| 117 | data dz_max / 0.0300/ ! Min Gener. Layer Thickness |
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| 118 | ! + CAUTION: dz_max > dz_min*2 is required ! Otherwise re-agregation is |
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| 119 | ! + ! activated after splitting |
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| 120 | |
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| 121 | |
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| 122 | |
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| 123 | |
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| 124 | |
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| 125 | ! +--Constrains Agregation of too thin Layers |
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| 126 | ! + ================================================= |
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| 127 | |
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| 128 | ! +--Search the thinest non-zero Layer |
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| 129 | ! + ---------------------------------- |
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| 130 | |
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| 131 | DO ikl=1,knonv |
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| 132 | IF(isnoSV(ikl)<=2) dz_min=max(0.0050,dz_min) |
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| 133 | |
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| 134 | dzepsi=0.0015 |
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| 135 | IF(ro__SV(ikl,isnoSV(ikl))>920) dzepsi=0.0020 |
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| 136 | |
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| 137 | dzthin(ikl) = 0. ! Arbitrary unrealistic |
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| 138 | END DO ! Layer Thickness |
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| 139 | !XF |
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| 140 | DO ikl=1,knonv |
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| 141 | DO isn=1,isnoSV(ikl)-3 ! no agregation of 3 first snowlayers |
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| 142 | ! XF 04/07/2019 |
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| 143 | |
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| 144 | isno_n = isnoSV(ikl)-isn+1 ! Snow Normal.Profile |
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| 145 | iice_n = iiceSV(ikl)-isn ! Ice Normal.Profile |
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| 146 | iiceOK = min(1,max(0,iice_n +1)) ! Ice Switch |
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| 147 | ! #vz dz_ref(isn) = ! |
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| 148 | ! #vz. dz_min *((1-iiceOK)*isno_n*isno_n ! Theoretical Profile |
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| 149 | ! #vz. + iiceOK * 2**iice_n) ! |
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| 150 | ! #vz. /max(1,isnoSV(ikl)) ! |
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| 151 | dz_dif = max(zero, & ! Actual Profile |
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| 152 | dz_min & ! |
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| 153 | *((1-iiceOK)*isno_n*isno_n & ! Theoretical Profile |
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| 154 | + iiceOK *2. **iice_n) & ! |
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| 155 | - dzsnSV(ikl, isn) ) ! Actual Profile |
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| 156 | ! #vz dzwdif(isn) = dz_dif ! |
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| 157 | OKthin = max(zero, & ! |
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| 158 | sign(unun, & ! |
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| 159 | dz_dif-dzthin(ikl))) & ! 1.=> New thinest Lay. |
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| 160 | * max(0, & ! 1 => .le. isnoSV |
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| 161 | min(1, & ! 1 => isn is in the |
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| 162 | isnoSV(ikl)-isn +1 )) & ! Snow Pack |
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| 163 | * min(unun, & ! |
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| 164 | |
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| 165 | ! 1st additional Condition to accept OKthin |
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| 166 | max(zero, & ! combination |
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| 167 | sign(unun,G1snSV(ikl, isn ) & ! G1 with same |
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| 168 | *G1snSV(ikl,max(1,isn-1)))) & ! sign => OK |
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| 169 | |
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| 170 | ! 2nd additional Condition to accept OKthin |
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| 171 | + max(zero, & ! G1>0 |
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| 172 | sign(unun,G1snSV(ikl, isn ))) & ! =>OK |
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| 173 | |
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| 174 | ! 3rd additional Condition to accept OKthin |
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| 175 | + max(zero, & ! dz too small |
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| 176 | sign(unun,dzxmin & ! =>OK |
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| 177 | -dzsnSV(ikl, isn ))))! |
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| 178 | |
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| 179 | i_thin(ikl) = (1. - OKthin) * i_thin(ikl) & ! Update thinest Lay. |
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| 180 | + OKthin * isn ! Index |
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| 181 | dzthin(ikl) = (1. - OKthin) * dzthin(ikl) & ! |
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| 182 | + OKthin * dz_dif ! |
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| 183 | END DO |
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| 184 | END DO |
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| 185 | |
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| 186 | |
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| 187 | |
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| 188 | DO ikl=1,knonv |
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| 189 | DO isn=1,isnoSV(ikl) |
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| 190 | OKthin = max(zero, & ! |
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| 191 | sign(unun, & ! |
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| 192 | dz_min & ! |
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| 193 | -dzsnSV(ikl,isn))) & ! |
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| 194 | * max(zero, & ! ON if dz > 0 |
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| 195 | sign(unun, & ! |
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| 196 | dzsnSV(ikl,isn)-epsi)) & ! |
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| 197 | *min(1,max(0, & ! Multiple Snow Lay. |
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| 198 | min (1, & ! Switch = 1 |
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| 199 | isnoSV(ikl) & ! if isno > iice + 1 |
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| 200 | -iiceSV(ikl)-1)) & ! |
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| 201 | ! + ! |
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| 202 | +int(max(zero, & ! |
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| 203 | sign(unun, & ! |
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| 204 | dzepsi & ! Minimum accepted for |
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| 205 | -dzsnSV(ikl,isn)))) & ! 1 Snow Layer over Ice |
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| 206 | *int(max(zero, & ! ON if dz > 0 |
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| 207 | sign(unun, & ! |
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| 208 | dzsnSV(ikl,isn)-epsi))) & ! |
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| 209 | *(1 -min (abs(isnoSV(ikl) & ! Switch = 1 |
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| 210 | -iiceSV(ikl)-1),1)) & ! if isno = iice + 1 |
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| 211 | ! + ! |
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| 212 | +max(0, & ! Ice |
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| 213 | min (1, & ! Switch |
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| 214 | iiceSV(ikl)+1-isn))) & ! |
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| 215 | *min(unun, & ! |
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| 216 | max(zero, & ! combination |
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| 217 | sign(unun,G1snSV(ikl, isn ) & ! G1>0 + G1<0 |
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| 218 | *G1snSV(ikl,max(1,isn-1)))) & ! NO |
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| 219 | + max(zero, & ! |
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| 220 | sign(unun,G1snSV(ikl, isn ))) & ! |
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| 221 | + max(zero, & ! |
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| 222 | sign(unun,dzxmin & ! |
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| 223 | -dzsnSV(ikl, isn ))))! |
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| 224 | i_thin(ikl) = (1. - OKthin) * i_thin(ikl) & ! Update thinest Lay. |
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| 225 | + OKthin * isn ! Index |
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| 226 | END DO |
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| 227 | END DO |
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| 228 | |
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| 229 | |
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| 230 | |
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| 231 | |
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| 232 | ! + *************** |
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| 233 | CALL SISVAT_zCr |
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| 234 | ! + *************** |
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| 235 | |
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| 236 | |
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| 237 | ! +--Assign the 2 Layers to agregate |
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| 238 | ! + ------------------------------- |
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| 239 | |
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| 240 | DO ikl=1,knonv |
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| 241 | isn = i_thin(ikl) |
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| 242 | IF(LIndsv(ikl)>0) isn=min(nsno-1,isn) ! cXF |
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| 243 | isagr1(ikl) = istoSV(ikl,isn) |
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| 244 | isagr2(ikl) = istoSV(ikl,isn+LIndsv(ikl)) |
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| 245 | dzagr1(ikl) = dzsnSV(ikl,isn) |
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| 246 | dzagr2(ikl) = dzsnSV(ikl,isn+LIndsv(ikl)) |
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| 247 | T_agr1(ikl) = TsisSV(ikl,isn) |
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| 248 | T_agr2(ikl) = TsisSV(ikl,isn+LIndsv(ikl)) |
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| 249 | roagr1(ikl) = ro__SV(ikl,isn) |
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| 250 | roagr2(ikl) = ro__SV(ikl,isn+LIndsv(ikl)) |
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| 251 | etagr1(ikl) = eta_SV(ikl,isn) |
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| 252 | etagr2(ikl) = eta_SV(ikl,isn+LIndsv(ikl)) |
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| 253 | G1agr1(ikl) = G1snSV(ikl,isn) |
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| 254 | G1agr2(ikl) = G1snSV(ikl,isn+LIndsv(ikl)) |
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| 255 | G2agr1(ikl) = G2snSV(ikl,isn) |
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| 256 | G2agr2(ikl) = G2snSV(ikl,isn+LIndsv(ikl)) |
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| 257 | agagr1(ikl) = agsnSV(ikl,isn) |
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| 258 | agagr2(ikl) = agsnSV(ikl,isn+LIndsv(ikl)) |
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| 259 | LstLay = min(1,max( 0,isnoSV(ikl) -1)) ! 0 if single Layer |
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| 260 | isnoSV(ikl) = isnoSV(ikl) & ! decrement isnoSV |
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| 261 | -(1-LstLay)* max(zero, & ! if downmost Layer |
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| 262 | sign(unun,eps_21 & ! < 1.e-21 m |
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| 263 | -dzsnSV(ikl,1))) ! |
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| 264 | isnoSV(ikl) = max( 0, isnoSV(ikl) ) ! |
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| 265 | Agrege(ikl) = max(zero, & ! |
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| 266 | sign(unun,dz_min & ! No Agregation |
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| 267 | -dzagr1(ikl) )) & ! if too thick Layer |
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| 268 | *LstLay & ! if a single Layer |
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| 269 | * min( max(0 ,isnoSV(ikl)+1 & ! if Agregation |
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| 270 | -i_thin(ikl) & ! with a Layer |
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| 271 | -LIndsv(ikl) ),1) ! above the Pack |
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| 272 | |
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| 273 | WEagre(ikl) = 0. |
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| 274 | END DO |
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| 275 | |
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| 276 | |
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| 277 | DO ikl=1,knonv |
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| 278 | DO isn=1,isnoSV(ikl) |
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| 279 | WEagre(ikl) = WEagre(ikl) + ro__SV(ikl,isn)*dzsnSV(ikl,isn) & |
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| 280 | *min(1,max(0,i_thin(ikl)+1-isn)) |
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| 281 | ENDDO |
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| 282 | ENDDO |
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| 283 | |
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| 284 | |
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| 285 | ! +--Agregates |
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| 286 | ! + --------- |
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| 287 | |
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| 288 | ! + *************** |
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| 289 | CALL SISVAT_zAg & |
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| 290 | (isagr1,isagr2,WEagre & |
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| 291 | ,dzagr1,dzagr2,T_agr1,T_agr2 & |
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| 292 | ,roagr1,roagr2,etagr1,etagr2 & |
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| 293 | ,G1agr1,G1agr2,G2agr1,G2agr2 & |
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| 294 | ,agagr1,agagr2,Agrege & |
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| 295 | ) |
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| 296 | ! + *************** |
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| 297 | |
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| 298 | |
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| 299 | ! +--Rearranges the Layers |
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| 300 | ! + --------------------- |
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| 301 | |
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| 302 | ! +--New (agregated) Snow layer |
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| 303 | ! + ^^^^^^^^^^^^^^^^^^^^^^^^^^ |
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| 304 | DO ikl=1,knonv |
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| 305 | isn = i_thin(ikl) |
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| 306 | isn = min(isn,isn+LIndsv(ikl)) |
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| 307 | isnoSV(ikl) = max(0.,isnoSV(ikl) -Agrege(ikl)) |
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| 308 | iiceSV(ikl) = iiceSV(ikl) & |
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| 309 | -max(0,sign(1,iiceSV(ikl) -isn +icemix)) & |
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| 310 | *Agrege(ikl) & |
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| 311 | *max(0,sign(1,iiceSV(ikl) -1 )) |
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| 312 | istoSV(ikl,isn) = (1.-Agrege(ikl))*istoSV(ikl,isn) & |
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| 313 | + Agrege(ikl) *isagr1(ikl) |
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| 314 | dzsnSV(ikl,isn) = (1.-Agrege(ikl))*dzsnSV(ikl,isn) & |
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| 315 | + Agrege(ikl) *dzagr1(ikl) |
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| 316 | TsisSV(ikl,isn) = (1.-Agrege(ikl))*TsisSV(ikl,isn) & |
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| 317 | + Agrege(ikl) *T_agr1(ikl) |
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| 318 | ro__SV(ikl,isn) = (1.-Agrege(ikl))*ro__SV(ikl,isn) & |
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| 319 | + Agrege(ikl) *roagr1(ikl) |
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| 320 | eta_SV(ikl,isn) = (1.-Agrege(ikl))*eta_SV(ikl,isn) & |
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| 321 | + Agrege(ikl) *etagr1(ikl) |
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| 322 | G1snSV(ikl,isn) = (1.-Agrege(ikl))*G1snSV(ikl,isn) & |
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| 323 | + Agrege(ikl) *G1agr1(ikl) |
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| 324 | G2snSV(ikl,isn) = (1.-Agrege(ikl))*G2snSV(ikl,isn) & |
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| 325 | + Agrege(ikl) *G2agr1(ikl) |
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| 326 | agsnSV(ikl,isn) = (1.-Agrege(ikl))*agsnSV(ikl,isn) & |
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| 327 | + Agrege(ikl) *agagr1(ikl) |
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| 328 | END DO |
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| 329 | |
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| 330 | ! +--Above |
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| 331 | ! + ^^^^^ |
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| 332 | DO ikl=1,knonv |
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| 333 | isn1(ikl)=max(i_thin(ikl),i_thin(ikl)+LIndsv(ikl)) |
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| 334 | END DO |
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| 335 | DO i= 1,nsno-1 |
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| 336 | DO ikl=1,knonv |
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| 337 | staggr = min(1,max(0,i +1 -isn1(ikl) )) |
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| 338 | istoSV(ikl,i) = (1.-staggr )*istoSV(ikl,i ) & |
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| 339 | + staggr*((1.-Agrege(ikl))*istoSV(ikl,i ) & |
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| 340 | + Agrege(ikl) *istoSV(ikl,i+1)) |
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| 341 | dzsnSV(ikl,i) = (1.-staggr )*dzsnSV(ikl,i ) & |
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| 342 | + staggr*((1.-Agrege(ikl))*dzsnSV(ikl,i ) & |
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| 343 | + Agrege(ikl) *dzsnSV(ikl,i+1)) |
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| 344 | TsisSV(ikl,i) = (1.-staggr )*TsisSV(ikl,i ) & |
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| 345 | + staggr*((1.-Agrege(ikl))*TsisSV(ikl,i ) & |
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| 346 | + Agrege(ikl) *TsisSV(ikl,i+1)) |
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| 347 | ro__SV(ikl,i) = (1.-staggr )*ro__SV(ikl,i ) & |
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| 348 | + staggr*((1.-Agrege(ikl))*ro__SV(ikl,i ) & |
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| 349 | + Agrege(ikl) *ro__SV(ikl,i+1)) |
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| 350 | eta_SV(ikl,i) = (1.-staggr )*eta_SV(ikl,i ) & |
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| 351 | + staggr*((1.-Agrege(ikl))*eta_SV(ikl,i ) & |
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| 352 | + Agrege(ikl) *eta_SV(ikl,i+1)) |
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| 353 | G1snSV(ikl,i) = (1.-staggr )*G1snSV(ikl,i ) & |
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| 354 | + staggr*((1.-Agrege(ikl))*G1snSV(ikl,i ) & |
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| 355 | + Agrege(ikl) *G1snSV(ikl,i+1)) |
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| 356 | G2snSV(ikl,i) = (1.-staggr )*G2snSV(ikl,i ) & |
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| 357 | + staggr*((1.-Agrege(ikl))*G2snSV(ikl,i ) & |
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| 358 | + Agrege(ikl) *G2snSV(ikl,i+1)) |
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| 359 | agsnSV(ikl,i) = (1.-staggr )*agsnSV(ikl,i ) & |
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| 360 | + staggr*((1.-Agrege(ikl))*agsnSV(ikl,i ) & |
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| 361 | + Agrege(ikl) *agsnSV(ikl,i+1)) |
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| 362 | END DO |
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| 363 | END DO |
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| 364 | |
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| 365 | DO ikl=1,knonv |
|---|
| 366 | isn = min(isnoSV(ikl) +1,nsno) |
|---|
| 367 | istoSV(ikl,isn) = (1.-Agrege(ikl))*istoSV(ikl,isn) |
|---|
| 368 | dzsnSV(ikl,isn) = (1.-Agrege(ikl))*dzsnSV(ikl,isn) |
|---|
| 369 | TsisSV(ikl,isn) = (1.-Agrege(ikl))*TsisSV(ikl,isn) |
|---|
| 370 | ro__SV(ikl,isn) = (1.-Agrege(ikl))*ro__SV(ikl,isn) |
|---|
| 371 | eta_SV(ikl,isn) = (1.-Agrege(ikl))*eta_SV(ikl,isn) |
|---|
| 372 | G1snSV(ikl,isn) = (1.-Agrege(ikl))*G1snSV(ikl,isn) |
|---|
| 373 | G2snSV(ikl,isn) = (1.-Agrege(ikl))*G2snSV(ikl,isn) |
|---|
| 374 | agsnSV(ikl,isn) = (1.-Agrege(ikl))*agsnSV(ikl,isn) |
|---|
| 375 | END DO |
|---|
| 376 | |
|---|
| 377 | |
|---|
| 378 | |
|---|
| 379 | |
|---|
| 380 | ! +--Constrains Splitting of too thick Layers |
|---|
| 381 | ! + ================================================= |
|---|
| 382 | |
|---|
| 383 | |
|---|
| 384 | ! +--Search the thickest non-zero Layer |
|---|
| 385 | ! + ---------------------------------- |
|---|
| 386 | |
|---|
| 387 | DO ikl=1,knonv |
|---|
| 388 | dzthin(ikl) = 0. ! Arbitrary unrealistic |
|---|
| 389 | END DO |
|---|
| 390 | DO ikl=1,knonv |
|---|
| 391 | DO isn=1,isnoSV(ikl) |
|---|
| 392 | isno_n = isnoSV(ikl)-isn+1 ! Snow Normal.Profile |
|---|
| 393 | iice_n = iiceSV(ikl)-isn ! Ice Normal.Profile |
|---|
| 394 | iiceOK = min(1,max(0,iice_n +1)) ! Ice Switch |
|---|
| 395 | dz_dif =( dzsnSV(ikl,isn) & ! Actual Profile |
|---|
| 396 | - dz_max *((1-iiceOK)*isno_n*isno_n & ! Theoretical Profile |
|---|
| 397 | + iiceOK *2. **iice_n) ) & ! |
|---|
| 398 | /max(dzsnSV(ikl,isn),epsi) ! |
|---|
| 399 | OKthin = max(zero, & ! |
|---|
| 400 | sign(unun, & ! |
|---|
| 401 | dz_dif-dzthin(ikl))) & ! 1.=>New thickest Lay. |
|---|
| 402 | * max(0, & ! 1 =>.le. isnoSV |
|---|
| 403 | min(1, & ! |
|---|
| 404 | isnoSV(ikl)-isn +1 )) ! |
|---|
| 405 | i_thin(ikl) = (1. - OKthin) * i_thin(ikl) & ! Update thickest Lay. |
|---|
| 406 | + OKthin * isn ! Index |
|---|
| 407 | dzthin(ikl) = (1. - OKthin) * dzthin(ikl) & ! |
|---|
| 408 | + OKthin * dz_dif ! |
|---|
| 409 | END DO |
|---|
| 410 | |
|---|
| 411 | isn=max(1,isnoSV(ikl)-3) |
|---|
| 412 | IF(dzsnSV(ikl,isn)>0.30) then ! surface layer > 30cm |
|---|
| 413 | i_thin(ikl) = isn ! XF 04/07/2019 |
|---|
| 414 | dzthin(ikl) = dzsnSV(ikl,isn) |
|---|
| 415 | endif |
|---|
| 416 | |
|---|
| 417 | isn=max(1,isnoSV(ikl)-2) |
|---|
| 418 | IF(dzsnSV(ikl,isn)>0.10) then ! surface layer > 10cm |
|---|
| 419 | i_thin(ikl) = isn ! XF 04/07/2019 |
|---|
| 420 | dzthin(ikl) = dzsnSV(ikl,isn) |
|---|
| 421 | endif |
|---|
| 422 | |
|---|
| 423 | isn=max(1,isnoSV(ikl)-1) |
|---|
| 424 | IF(dzsnSV(ikl,isn)>0.05) then ! surface layer > 5cm |
|---|
| 425 | i_thin(ikl) = isn ! XF 04/07/2019 |
|---|
| 426 | dzthin(ikl) = dzsnSV(ikl,isn) |
|---|
| 427 | endif |
|---|
| 428 | |
|---|
| 429 | isn=max(1,isnoSV(ikl)) |
|---|
| 430 | IF(dzsnSV(ikl,isn)>0.02) then ! surface layer > 2cm |
|---|
| 431 | i_thin(ikl) = isn ! XF 04/07/2019 |
|---|
| 432 | dzthin(ikl) = dzsnSV(ikl,isn) |
|---|
| 433 | endif |
|---|
| 434 | |
|---|
| 435 | END DO |
|---|
| 436 | |
|---|
| 437 | DO ikl=1,knonv |
|---|
| 438 | ThickL = max(zero, & ! 1. => a too thick |
|---|
| 439 | sign(unun,dzthin(ikl) & ! Layer exists |
|---|
| 440 | -epsi )) & ! |
|---|
| 441 | * max(0,1-max(0 , isnoSV(ikl) & ! No spliting allowed |
|---|
| 442 | -nsno+1 )) ! if isno > nsno - 1 |
|---|
| 443 | Agrege(ikl) = ThickL & ! 1. => effective split |
|---|
| 444 | * max(0,1-max(0 , NLaysv(ikl) & ! |
|---|
| 445 | +isnoSV(ikl) & ! |
|---|
| 446 | -nsno+1 )) ! |
|---|
| 447 | NLay_s(ikl) = ThickL & ! Agregation |
|---|
| 448 | * max(0,1-max(0 , NLaysv(ikl) & ! to allow Splitting |
|---|
| 449 | +isnoSV(ikl) & ! at next Time Step |
|---|
| 450 | -nsno )) & ! |
|---|
| 451 | -Agrege(ikl) ! |
|---|
| 452 | NLay_s(ikl) = max(0 , NLay_s(ikl)) ! Agregation effective |
|---|
| 453 | END DO |
|---|
| 454 | |
|---|
| 455 | |
|---|
| 456 | ! +--Rearranges the Layers |
|---|
| 457 | ! + --------------------- |
|---|
| 458 | |
|---|
| 459 | DO isn=nsno,2,-1 |
|---|
| 460 | DO ikl=1,knonv |
|---|
| 461 | IF (Agrege(ikl)>0..AND.i_thin(ikl)<isnoSV(ikl)) THEN |
|---|
| 462 | staggr = min(1,max(0,isn-i_thin(ikl) -1)) & |
|---|
| 463 | * min(1,max(0, isnoSV(ikl)-isn+2)) |
|---|
| 464 | istoSV(ikl,isn) = staggr * istoSV(ikl ,isn-1) & |
|---|
| 465 | + (1. - staggr) * istoSV(ikl ,isn ) |
|---|
| 466 | dzsnSV(ikl,isn) = staggr * dzsnSV(ikl ,isn-1) & |
|---|
| 467 | + (1. - staggr) * dzsnSV(ikl ,isn ) |
|---|
| 468 | TsisSV(ikl,isn) = staggr * TsisSV(ikl ,isn-1) & |
|---|
| 469 | + (1. - staggr) * TsisSV(ikl ,isn ) |
|---|
| 470 | ro__SV(ikl,isn) = staggr * ro__SV(ikl ,isn-1) & |
|---|
| 471 | + (1. - staggr) * ro__SV(ikl ,isn ) |
|---|
| 472 | eta_SV(ikl,isn) = staggr * eta_SV(ikl ,isn-1) & |
|---|
| 473 | + (1. - staggr) * eta_SV(ikl ,isn ) |
|---|
| 474 | G1snSV(ikl,isn) = staggr * G1snSV(ikl ,isn-1) & |
|---|
| 475 | + (1. - staggr) * G1snSV(ikl ,isn ) |
|---|
| 476 | G2snSV(ikl,isn) = staggr * G2snSV(ikl ,isn-1) & |
|---|
| 477 | + (1. - staggr) * G2snSV(ikl ,isn ) |
|---|
| 478 | agsnSV(ikl,isn) = staggr * agsnSV(ikl ,isn-1) & |
|---|
| 479 | + (1. - staggr) * agsnSV(ikl ,isn ) |
|---|
| 480 | END IF |
|---|
| 481 | END DO |
|---|
| 482 | END DO |
|---|
| 483 | |
|---|
| 484 | DO ikl=1,knonv |
|---|
| 485 | isn = i_thin(ikl) |
|---|
| 486 | dzsnSV(ikl,isn) = 0.5*Agrege(ikl) *dzsnSV(ikl,isn) & |
|---|
| 487 | + (1.-Agrege(ikl))*dzsnSV(ikl,isn) |
|---|
| 488 | |
|---|
| 489 | isn = min(i_thin(ikl) +1,nsno) |
|---|
| 490 | istoSV(ikl,isn) = Agrege(ikl) *istoSV(ikl,isn-1) & |
|---|
| 491 | + (1.-Agrege(ikl))*istoSV(ikl,isn) |
|---|
| 492 | dzsnSV(ikl,isn) = Agrege(ikl) *dzsnSV(ikl,isn-1) & |
|---|
| 493 | + (1.-Agrege(ikl))*dzsnSV(ikl,isn) |
|---|
| 494 | TsisSV(ikl,isn) = Agrege(ikl) *TsisSV(ikl,isn-1) & |
|---|
| 495 | + (1.-Agrege(ikl))*TsisSV(ikl,isn) |
|---|
| 496 | ro__SV(ikl,isn) = Agrege(ikl) *ro__SV(ikl,isn-1) & |
|---|
| 497 | + (1.-Agrege(ikl))*ro__SV(ikl,isn) |
|---|
| 498 | eta_SV(ikl,isn) = Agrege(ikl) *eta_SV(ikl,isn-1) & |
|---|
| 499 | + (1.-Agrege(ikl))*eta_SV(ikl,isn) |
|---|
| 500 | G1snSV(ikl,isn) = Agrege(ikl) *G1snSV(ikl,isn-1) & |
|---|
| 501 | + (1.-Agrege(ikl))*G1snSV(ikl,isn) |
|---|
| 502 | G2snSV(ikl,isn) = Agrege(ikl) *G2snSV(ikl,isn-1) & |
|---|
| 503 | + (1.-Agrege(ikl))*G2snSV(ikl,isn) |
|---|
| 504 | agsnSV(ikl,isn) = Agrege(ikl) *agsnSV(ikl,isn-1) & |
|---|
| 505 | + (1.-Agrege(ikl))*agsnSV(ikl,isn) |
|---|
| 506 | isnoSV(ikl) = min(Agrege(ikl) +isnoSV(ikl),real(nsno)) |
|---|
| 507 | iiceSV(ikl) = iiceSV(ikl) & |
|---|
| 508 | + Agrege(ikl) *max(0,sign(1,iiceSV(ikl) & |
|---|
| 509 | -isn +icemix)) & |
|---|
| 510 | *max(0,sign(1,iiceSV(ikl) & |
|---|
| 511 | -1 )) |
|---|
| 512 | END DO |
|---|
| 513 | |
|---|
| 514 | |
|---|
| 515 | ! +--Constrains Agregation in case of too much Layers |
|---|
| 516 | ! + ================================================= |
|---|
| 517 | |
|---|
| 518 | ! +--Search the thinest non-zero Layer |
|---|
| 519 | ! + ----------------------------------- |
|---|
| 520 | |
|---|
| 521 | |
|---|
| 522 | |
|---|
| 523 | DO ikl=1,knonv |
|---|
| 524 | dzthin(ikl) = 0. ! Arbitrary unrealistic |
|---|
| 525 | END DO ! Layer Thickness |
|---|
| 526 | DO ikl=1,knonv |
|---|
| 527 | DO isn=1,isnoSV(ikl)-3 ! no agregation of 3 first snowlayers |
|---|
| 528 | ! XF 04/07/2019 |
|---|
| 529 | |
|---|
| 530 | isno_n = isnoSV(ikl)-isn+1 ! Snow Normal.Profile |
|---|
| 531 | iice_n = iiceSV(ikl)-isn ! Ice Normal.Profile |
|---|
| 532 | iiceOK = min(1,max(0,iice_n +1)) ! Ice Switch |
|---|
| 533 | ! #vz dz_ref(isn) = ! |
|---|
| 534 | ! #vz. dz_min *((1-iiceOK)*isno_n*isno_n ! Theoretical Profile |
|---|
| 535 | ! #vz. + iiceOK * 2**iice_n) ! |
|---|
| 536 | ! #vz. /max(1,isnoSV(ikl)) ! |
|---|
| 537 | dz_dif = dz_min & ! Actual Profile |
|---|
| 538 | - dzsnSV(ikl ,isn) & ! |
|---|
| 539 | /max(epsi,((1-iiceOK)*isno_n*isno_n & ! Theoretical Profile |
|---|
| 540 | + iiceOK *2. **iice_n)) ! |
|---|
| 541 | ! #vz dzwdif(isn) = dz_dif ! |
|---|
| 542 | OKthin = max(zero, & ! |
|---|
| 543 | sign(unun, & ! |
|---|
| 544 | dz_dif - dzthin(ikl))) & ! 1.=> New thinest Lay. |
|---|
| 545 | * max(0, & ! 1 => .le. isnoSV |
|---|
| 546 | min(1, & ! |
|---|
| 547 | isnoSV(ikl)-isn +1 )) ! |
|---|
| 548 | i_thin(ikl) = (1. - OKthin) * i_thin(ikl) & ! Update thinest Lay. |
|---|
| 549 | + OKthin * isn ! Index |
|---|
| 550 | dzthin(ikl) = (1. - OKthin) * dzthin(ikl) & ! |
|---|
| 551 | + OKthin * dz_dif ! |
|---|
| 552 | |
|---|
| 553 | |
|---|
| 554 | END DO |
|---|
| 555 | END DO |
|---|
| 556 | |
|---|
| 557 | |
|---|
| 558 | |
|---|
| 559 | |
|---|
| 560 | |
|---|
| 561 | ! +--Index of the contiguous Layer to agregate |
|---|
| 562 | ! + ----------------------------------------- |
|---|
| 563 | |
|---|
| 564 | ! + *************** |
|---|
| 565 | CALL SISVAT_zCr |
|---|
| 566 | ! + *************** |
|---|
| 567 | |
|---|
| 568 | |
|---|
| 569 | ! +--Assign the 2 Layers to agregate |
|---|
| 570 | ! + ------------------------------- |
|---|
| 571 | |
|---|
| 572 | DO ikl=1,knonv |
|---|
| 573 | isn = i_thin(ikl) |
|---|
| 574 | IF(LIndsv(ikl)>0) isn=min(isn, nsno-1) !cXF |
|---|
| 575 | isagr1(ikl) = istoSV(ikl,isn) |
|---|
| 576 | isagr2(ikl) = istoSV(ikl,isn+LIndsv(ikl)) |
|---|
| 577 | dzagr1(ikl) = dzsnSV(ikl,isn) |
|---|
| 578 | dzagr2(ikl) = dzsnSV(ikl,isn+LIndsv(ikl)) |
|---|
| 579 | T_agr1(ikl) = TsisSV(ikl,isn) |
|---|
| 580 | T_agr2(ikl) = TsisSV(ikl,isn+LIndsv(ikl)) |
|---|
| 581 | roagr1(ikl) = ro__SV(ikl,isn) |
|---|
| 582 | roagr2(ikl) = ro__SV(ikl,isn+LIndsv(ikl)) |
|---|
| 583 | etagr1(ikl) = eta_SV(ikl,isn) |
|---|
| 584 | etagr2(ikl) = eta_SV(ikl,isn+LIndsv(ikl)) |
|---|
| 585 | G1agr1(ikl) = G1snSV(ikl,isn) |
|---|
| 586 | G1agr2(ikl) = G1snSV(ikl,isn+LIndsv(ikl)) |
|---|
| 587 | G2agr1(ikl) = G2snSV(ikl,isn) |
|---|
| 588 | G2agr2(ikl) = G2snSV(ikl,isn+LIndsv(ikl)) |
|---|
| 589 | agagr1(ikl) = agsnSV(ikl,isn) |
|---|
| 590 | agagr2(ikl) = agsnSV(ikl,isn+LIndsv(ikl)) |
|---|
| 591 | LstLay = min(1,max( 0, isnoSV(ikl)-1 )) |
|---|
| 592 | Agrege(ikl) = min(1, & |
|---|
| 593 | max(0, & |
|---|
| 594 | NLaysv(ikl) +isnoSV(ikl)-nsno & |
|---|
| 595 | +NLay_s(ikl) ) & |
|---|
| 596 | *LstLay ) |
|---|
| 597 | |
|---|
| 598 | ! + minimum uppermost layer thickness to guarantee a correct reproduction of the snow |
|---|
| 599 | ! + atmosphere coupling |
|---|
| 600 | IF(dzsnSV(ikl,max(1,isnoSV(ikl)-0))>0.02 .OR. & ! surface layers> 2-5-10 |
|---|
| 601 | dzsnSV(ikl,max(1,isnoSV(ikl)-1))>0.05 .OR. & ! XF 04/07/2019 |
|---|
| 602 | dzsnSV(ikl,max(1,isnoSV(ikl)-2))>0.10 .OR. & |
|---|
| 603 | dzsnSV(ikl,max(1,isnoSV(ikl)-3))>0.30 )THEN |
|---|
| 604 | Agrege(ikl) = min(1, & |
|---|
| 605 | max(0, & |
|---|
| 606 | NLaysv(ikl) +isnoSV(ikl)+1-nsno & ! nsno-1 layers ma |
|---|
| 607 | +NLay_s(ikl) ) & |
|---|
| 608 | *LstLay ) |
|---|
| 609 | endif |
|---|
| 610 | |
|---|
| 611 | isnoSV(ikl) = isnoSV(ikl) & |
|---|
| 612 | -(1-LstLay)*max(zero, & |
|---|
| 613 | sign(unun, eps_21 & |
|---|
| 614 | -dzsnSV(ikl,1) )) |
|---|
| 615 | isnoSV(ikl) =max( 0, isnoSV(ikl) ) |
|---|
| 616 | |
|---|
| 617 | WEagre(ikl) = 0. |
|---|
| 618 | END DO |
|---|
| 619 | |
|---|
| 620 | DO isn=1,nsno |
|---|
| 621 | DO ikl=1,knonv |
|---|
| 622 | WEagre(ikl) = WEagre(ikl) + ro__SV(ikl,isn)*dzsnSV(ikl,isn) & |
|---|
| 623 | *min(1,max(0,i_thin(ikl)+1-isn)) |
|---|
| 624 | ENDDO |
|---|
| 625 | ENDDO |
|---|
| 626 | |
|---|
| 627 | ! +--Agregates |
|---|
| 628 | ! + --------- |
|---|
| 629 | |
|---|
| 630 | ! + *************** |
|---|
| 631 | CALL SISVAT_zAg & |
|---|
| 632 | (isagr1,isagr2,WEagre & |
|---|
| 633 | ,dzagr1,dzagr2,T_agr1,T_agr2 & |
|---|
| 634 | ,roagr1,roagr2,etagr1,etagr2 & |
|---|
| 635 | ,G1agr1,G1agr2,G2agr1,G2agr2 & |
|---|
| 636 | ,agagr1,agagr2,Agrege & |
|---|
| 637 | ) |
|---|
| 638 | ! + *************** |
|---|
| 639 | |
|---|
| 640 | |
|---|
| 641 | ! +--Rearranges the Layers |
|---|
| 642 | ! + --------------------- |
|---|
| 643 | |
|---|
| 644 | ! +--New (agregated) Snow layer |
|---|
| 645 | ! + ^^^^^^^^^^^^^^^^^^^^^^^^^^ |
|---|
| 646 | DO ikl=1,knonv |
|---|
| 647 | isn = i_thin(ikl) |
|---|
| 648 | isn = min(isn,isn+LIndsv(ikl)) |
|---|
| 649 | isnoSV(ikl) = max(0.,isnoSV(ikl) -Agrege(ikl)) |
|---|
| 650 | iiceSV(ikl) = iiceSV(ikl) & |
|---|
| 651 | -max(0,sign(1,iiceSV(ikl) -isn +icemix)) & |
|---|
| 652 | *Agrege(ikl) & |
|---|
| 653 | *max(0,sign(1,iiceSV(ikl) -1 )) |
|---|
| 654 | istoSV(ikl,isn) = (1.-Agrege(ikl))*istoSV(ikl,isn) & |
|---|
| 655 | + Agrege(ikl) *isagr1(ikl) |
|---|
| 656 | dzsnSV(ikl,isn) = (1.-Agrege(ikl))*dzsnSV(ikl,isn) & |
|---|
| 657 | + Agrege(ikl) *dzagr1(ikl) |
|---|
| 658 | TsisSV(ikl,isn) = (1.-Agrege(ikl))*TsisSV(ikl,isn) & |
|---|
| 659 | + Agrege(ikl) *T_agr1(ikl) |
|---|
| 660 | ro__SV(ikl,isn) = (1.-Agrege(ikl))*ro__SV(ikl,isn) & |
|---|
| 661 | + Agrege(ikl) *roagr1(ikl) |
|---|
| 662 | eta_SV(ikl,isn) = (1.-Agrege(ikl))*eta_SV(ikl,isn) & |
|---|
| 663 | + Agrege(ikl) *etagr1(ikl) |
|---|
| 664 | G1snSV(ikl,isn) = (1.-Agrege(ikl))*G1snSV(ikl,isn) & |
|---|
| 665 | + Agrege(ikl) *G1agr1(ikl) |
|---|
| 666 | G2snSV(ikl,isn) = (1.-Agrege(ikl))*G2snSV(ikl,isn) & |
|---|
| 667 | + Agrege(ikl) *G2agr1(ikl) |
|---|
| 668 | agsnSV(ikl,isn) = (1.-Agrege(ikl))*agsnSV(ikl,isn) & |
|---|
| 669 | + Agrege(ikl) *agagr1(ikl) |
|---|
| 670 | END DO |
|---|
| 671 | |
|---|
| 672 | ! +--Above |
|---|
| 673 | ! + ^^^^^ |
|---|
| 674 | DO ikl=1,knonv |
|---|
| 675 | isn1(ikl)=max(i_thin(ikl),i_thin(ikl)+LIndsv(ikl)) |
|---|
| 676 | END DO |
|---|
| 677 | DO i= 1,nsno-1 |
|---|
| 678 | DO ikl=1,knonv |
|---|
| 679 | staggr = min(1,max(0,i +1 -isn1(ikl) )) |
|---|
| 680 | istoSV(ikl,i) = (1.-staggr )*istoSV(ikl,i ) & |
|---|
| 681 | + staggr*((1.-Agrege(ikl))*istoSV(ikl,i ) & |
|---|
| 682 | + Agrege(ikl) *istoSV(ikl,i+1)) |
|---|
| 683 | dzsnSV(ikl,i) = (1.-staggr )*dzsnSV(ikl,i ) & |
|---|
| 684 | + staggr*((1.-Agrege(ikl))*dzsnSV(ikl,i ) & |
|---|
| 685 | + Agrege(ikl) *dzsnSV(ikl,i+1)) |
|---|
| 686 | TsisSV(ikl,i) = (1.-staggr )*TsisSV(ikl,i ) & |
|---|
| 687 | + staggr*((1.-Agrege(ikl))*TsisSV(ikl,i ) & |
|---|
| 688 | + Agrege(ikl) *TsisSV(ikl,i+1)) |
|---|
| 689 | ro__SV(ikl,i) = (1.-staggr )*ro__SV(ikl,i ) & |
|---|
| 690 | + staggr*((1.-Agrege(ikl))*ro__SV(ikl,i ) & |
|---|
| 691 | + Agrege(ikl) *ro__SV(ikl,i+1)) |
|---|
| 692 | eta_SV(ikl,i) = (1.-staggr )*eta_SV(ikl,i ) & |
|---|
| 693 | + staggr*((1.-Agrege(ikl))*eta_SV(ikl,i ) & |
|---|
| 694 | + Agrege(ikl) *eta_SV(ikl,i+1)) |
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| 695 | G1snSV(ikl,i) = (1.-staggr )*G1snSV(ikl,i ) & |
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| 696 | + staggr*((1.-Agrege(ikl))*G1snSV(ikl,i ) & |
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| 697 | + Agrege(ikl) *G1snSV(ikl,i+1)) |
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| 698 | G2snSV(ikl,i) = (1.-staggr )*G2snSV(ikl,i ) & |
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| 699 | + staggr*((1.-Agrege(ikl))*G2snSV(ikl,i ) & |
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| 700 | + Agrege(ikl) *G2snSV(ikl,i+1)) |
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| 701 | agsnSV(ikl,i) = (1.-staggr )*agsnSV(ikl,i ) & |
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| 702 | + staggr*((1.-Agrege(ikl))*agsnSV(ikl,i ) & |
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| 703 | + Agrege(ikl) *agsnSV(ikl,i+1)) |
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| 704 | END DO |
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| 705 | END DO |
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| 706 | |
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| 707 | DO ikl=1,knonv |
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| 708 | isn = min(isnoSV(ikl) +1,nsno) |
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| 709 | istoSV(ikl,isn) = (1.-Agrege(ikl))*istoSV(ikl,isn) |
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| 710 | dzsnSV(ikl,isn) = (1.-Agrege(ikl))*dzsnSV(ikl,isn) |
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| 711 | TsisSV(ikl,isn) = (1.-Agrege(ikl))*TsisSV(ikl,isn) |
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| 712 | ro__SV(ikl,isn) = (1.-Agrege(ikl))*ro__SV(ikl,isn) |
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| 713 | eta_SV(ikl,isn) = (1.-Agrege(ikl))*eta_SV(ikl,isn) |
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| 714 | G1snSV(ikl,isn) = (1.-Agrege(ikl))*G1snSV(ikl,isn) |
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| 715 | G2snSV(ikl,isn) = (1.-Agrege(ikl))*G2snSV(ikl,isn) |
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| 716 | agsnSV(ikl,isn) = (1.-Agrege(ikl))*agsnSV(ikl,isn) |
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| 717 | END DO |
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| 718 | |
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| 719 | |
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| 720 | ! +--Search new Ice/Snow Interface (option II in MAR) |
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| 721 | ! + =============================================== |
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| 722 | |
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| 723 | IF (ok_zsn_ii) THEN |
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| 724 | |
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| 725 | DO ikl=1,knonv |
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| 726 | iiceSV(ikl) = 0 |
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| 727 | END DO |
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| 728 | |
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| 729 | DO ikl=1,knonv |
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| 730 | DO isn=1,isnoSV(ikl) |
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| 731 | OK_ICE = max(zero,sign(unun,ro__SV(ikl,isn)-ro_ice+20.)) & |
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| 732 | * max(zero,sign(unun,dzsnSV(ikl,isn)-epsi)) |
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| 733 | iiceSV(ikl) = (1.-OK_ICE) *iiceSV(ikl) & |
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| 734 | + OK_ICE *isn |
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| 735 | END DO |
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| 736 | END DO |
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| 737 | |
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| 738 | END IF |
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| 739 | |
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| 740 | |
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| 741 | END SUBROUTINE sisvat_zsn |
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