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| 2 | SUBROUTINE SISVAT_GSn |
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| 3 | |
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| 4 | ! +------------------------------------------------------------------------+ |
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| 5 | ! | MAR SISVAT_GSn 20-09-2003 MAR | |
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| 6 | ! | SubRoutine SISVAT_GSn simulates SNOW Metamorphism | |
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| 7 | ! +------------------------------------------------------------------------+ |
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| 8 | ! | | |
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| 9 | ! | PARAMETERS: knonv: Total Number of columns = | |
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| 10 | ! | ^^^^^^^^^^ = Total Number of continental grid boxes | |
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| 11 | ! | X Number of Mosaic Cell per grid box | |
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| 12 | ! | | |
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| 13 | ! | INPUT / isnoSV = total Nb of Ice/Snow Layers | |
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| 14 | ! | OUTPUT: iiceSV = total Nb of Ice Layers | |
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| 15 | ! | ^^^^^^ istoSV = 0,...,5 : Snow History (see istdSV data) | |
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| 16 | ! | | |
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| 17 | ! | INPUT: TsisSV : Soil/Ice Temperatures (layers -nsol,-nsol+1,..,0)| |
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| 18 | ! | ^^^^^ & Snow Temperatures (layers 1,2,...,nsno) [K] | |
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| 19 | ! | ro__SV : Soil/Snow Volumic Mass [kg/m3] | |
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| 20 | ! | eta_SV : Soil/Snow Water Content [m3/m3] | |
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| 21 | ! | slopSV : Surface Slope [-] | |
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| 22 | ! | dzsnSV : Snow Layer Thickness [m] | |
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| 23 | ! | dt__SV2 : Time Step [s] | |
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| 24 | ! | | |
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| 25 | ! | INPUT / G1snSV : Dendricity (<0) or Sphericity (>0) of Snow Layer | |
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| 26 | ! | OUTPUT: G2snSV : Sphericity (>0) or Size of Snow Layer | |
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| 27 | ! | ^^^^^^ | |
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| 28 | ! | | |
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| 29 | ! | Formalisme adopte pour la Representation des Grains: | |
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| 30 | ! | Formalism for the Representation of Grains: | |
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| 31 | ! | ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | |
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| 32 | ! | | |
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| 33 | ! | 1 - -1 Neige Fraiche | |
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| 34 | ! | / \ | ------------- | |
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| 35 | ! | / \ | Dendricite decrite par Dendricite | |
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| 36 | ! | / \ | Dendricity et Sphericite | |
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| 37 | ! | / \ | | |
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| 38 | ! | 2---------3 - 0 described by Dendricity | |
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| 39 | ! | and Sphericity | |
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| 40 | ! | |---------| | |
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| 41 | ! | 0 1 | |
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| 42 | ! | Sphericite | |
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| 43 | ! | Sphericity | |
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| 44 | ! | | |
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| 45 | ! | 4---------5 - | |
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| 46 | ! | | | | | |
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| 47 | ! | | | | Diametre (1/10eme de mm) (ou Taille) | |
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| 48 | ! | | | | Diameter (1/10th of mm) (or Size ) | |
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| 49 | ! | | | | | |
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| 50 | ! | | | | Neige non dendritique | |
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| 51 | ! | 6---------7 - --------------------- | |
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| 52 | ! | decrite par Sphericite | |
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| 53 | ! | et Taille | |
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| 54 | ! | described by Sphericity | |
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| 55 | ! | and Size | |
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| 56 | ! | | |
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| 57 | ! | Les Variables du Modele: | |
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| 58 | ! | Model Variables: | |
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| 59 | ! | ^^^^^^^^^^^^^^^^^^^^^^^^ | |
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| 60 | ! | Cas Dendritique Cas non Dendritique | |
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| 61 | ! | | |
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| 62 | ! | G1snSV : Dendricite G1snSV : Sphericite | |
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| 63 | ! | G2snSV : Sphericite G2snSV : Taille (1/10e mm) | |
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| 64 | ! | Size | |
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| 65 | ! | | |
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| 66 | ! | Cas Dendritique/ Dendritic Case | |
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| 67 | ! | ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | |
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| 68 | ! | Dendricite(Dendricity) G1snSV | |
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| 69 | ! | varie de -G1_dSV (-99 par defaut / etoile) a 0 | |
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| 70 | ! | division par -G1_dSV pour obtenir des valeurs entre 1 et 0 | |
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| 71 | ! | varies from -G1_dSV (default -99 / fresh snow) to 0 | |
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| 72 | ! | division by -G1_dSV to obtain values between 1 and 0 | |
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| 73 | ! | | |
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| 74 | ! | Sphericite(Sphericity) G2snSV | |
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| 75 | ! | varie de 0 (cas completement anguleux) | |
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| 76 | ! | a G1_dSV (99 par defaut, cas spherique) | |
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| 77 | ! | division par G1_dSV pour obtenir des valeurs entre 0 et 1 | |
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| 78 | ! | varies from 0 (full faceted) to G1_dSV | |
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| 79 | ! | | |
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| 80 | ! | Cas non Dendritique / non Dendritic Case | |
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| 81 | ! | ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ | |
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| 82 | ! | Sphericite(Sphericity) G1snSV | |
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| 83 | ! | varie de 0 (cas completement anguleux) | |
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| 84 | ! | a G1_dSV (99 par defaut, cas spherique) | |
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| 85 | ! | division par G1_dSV pour obtenir des valeurs entre 0 et 1 | |
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| 86 | ! | varies from 0 (full faceted) to G1_dSV | |
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| 87 | ! | | |
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| 88 | ! | Taille (Size) G2snSV | |
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| 89 | ! | superieure a ADSdSV (.4 mm) et ne fait que croitre | |
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| 90 | ! | greater than ADSdSV (.4 mm) always increases | |
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| 91 | ! | | |
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| 92 | ! | Exemples: Points caracteristiques des Figures ci-dessus | |
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| 93 | ! | ^^^^^^^^^ | |
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| 94 | ! | | |
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| 95 | ! | G1snSV G2snSV dendricite sphericite taille | |
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| 96 | ! | dendricity sphericity size | |
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| 97 | ! | ------------------------------------------------------------------ | |
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| 98 | ! | [1/10 mm] | |
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| 99 | ! | 1 -G1_dSV sph3SN 1 0.5 | |
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| 100 | ! | 2 0 0 0 0 | |
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| 101 | ! | 3 0 G1_dSV 0 1 | |
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| 102 | ! | 4 0 ADSdSV 0 4. | |
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| 103 | ! | 5 G1_dSV ADSdSV-vsphe1 1 3. | |
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| 104 | ! | 6 0 -- 0 -- | |
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| 105 | ! | 7 G1_dSV -- 1 -- | |
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| 106 | ! | | |
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| 107 | ! | par defaut: G1_dSV=99. | |
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| 108 | ! | sph3SN=50. | |
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| 109 | ! | ADSdSV= 4. | |
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| 110 | ! | vsphe1=1. | |
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| 111 | ! | | |
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| 112 | ! | Methode: | |
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| 113 | ! | ^^^^^^^^ | |
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| 114 | ! | 1. Evolution Types de Grains selon Lois de Brun et al. (1992): | |
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| 115 | ! | Grain metamorphism according to Brun et al. (1992): | |
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| 116 | ! | Plusieurs Cas sont a distiguer / the different Cases are: | |
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| 117 | ! | 1.1 Metamorphose Neige humide / wet Snow | |
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| 118 | ! | 1.2 Metamorphose Neige seche / dry Snow | |
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| 119 | ! | 1.2.1 Gradient faible / low Temperature Gradient | |
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| 120 | ! | 1.2.2 Gradient moyen / moderate Temperature Gradient | |
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| 121 | ! | 1.2.3 Gradient fort / high Temperature Gradient | |
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| 122 | ! | Dans chaque Cas on separe Neige Dendritique et non Dendritique | |
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| 123 | ! | le Passage Dendritique -> non Dendritique | |
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| 124 | ! | se fait lorsque G1snSV devient > 0 | |
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| 125 | ! | the Case of Dentritic or non Dendritic Snow is treated separately | |
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| 126 | ! | the Limit Dentritic -> non Dendritic is reached when G1snSV > 0 | |
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| 127 | ! | | |
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| 128 | ! | 2. Tassement: Loi de Viscosite adaptee selon le Type de Grains | |
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| 129 | ! | Snow Settling: Viscosity depends on the Grain Type | |
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| 130 | ! | | |
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| 131 | ! | 3. Update Variables historiques (cas non dendritique seulement) | |
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| 132 | ! | nhSNow defaut | |
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| 133 | ! | 0 Cas normal | |
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| 134 | ! | istdSV(1) 1 Grains anguleux / faceted cristal | |
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| 135 | ! | istdSV(2) 2 Grains ayant ete en presence d eau liquide | |
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| 136 | ! | mais n'ayant pas eu de caractere anguleux / | |
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| 137 | ! | liquid water and no faceted cristals before | |
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| 138 | ! | istdSV(3) 3 Grains ayant ete en presence d eau liquide | |
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| 139 | ! | ayant eu auparavant un caractere anguleux / | |
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| 140 | ! | liquid water and faceted cristals before | |
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| 141 | ! | | |
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| 142 | ! | REFER. : Brun et al. 1989, J. Glaciol 35 pp. 333--342 | |
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| 143 | ! | ^^^^^^^^ Brun et al. 1992, J. Glaciol 38 pp. 13-- 22 | |
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| 144 | ! | (CROCUS Model, adapted to MAR at CEN by H.Gallee) | |
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| 145 | ! | | |
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| 146 | ! | REFER. : Marbouty, D. 1980, J. Glaciol 26 pp. xxx--xxx | |
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| 147 | ! | ^^^^^^^^ (CROCUS Model, adapted to MAR at CEN by H.Gallee) | |
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| 148 | ! | (for angular shapes) | |
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| 149 | ! | | |
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| 150 | ! | Preprocessing Option: SISVAT IO (not always a standard preprocess.) | |
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| 151 | ! | ^^^^^^^^^^^^^^^^^^^^^ ^^^^^^^^^ | |
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| 152 | ! | FILE | CONTENT | |
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| 153 | ! | ~~~~~~~~~~~~~~~~~~~~~+~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ | |
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| 154 | ! | # SISVAT_GSn.vp | #vp: OUTPUT/Verification: Snow Properties | |
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| 155 | ! | | unit 47, SubRoutines SISVAT_zSn, _GSn | |
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| 156 | ! | # stdout | #wp: OUTPUT/Verification: Snow Properties | |
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| 157 | ! | | unit 6, SubRoutine SISVAT_GSn | |
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| 158 | ! | | |
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| 159 | ! +------------------------------------------------------------------------+ |
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| 160 | |
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| 161 | |
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| 162 | |
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| 163 | |
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| 164 | ! +--Global Variables |
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| 165 | ! + ================ |
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| 166 | |
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| 167 | USE VARphy |
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| 168 | USE VAR_SV |
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| 169 | USE VARdSV |
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| 170 | USE VAR0SV |
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| 171 | USE VARxSV |
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| 172 | USE VARtSV |
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| 173 | |
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| 174 | |
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| 175 | IMPLICIT NONE |
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| 176 | |
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| 177 | |
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| 178 | |
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| 179 | ! +--INPUT/OUTPUT |
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| 180 | ! + ------------ |
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| 181 | |
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| 182 | |
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| 183 | ! +--OUTPUT |
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| 184 | ! + ------ |
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| 185 | |
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| 186 | INTEGER :: dt__SV2 |
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| 187 | |
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| 188 | |
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| 189 | ! +--Local Variables |
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| 190 | ! + ================ |
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| 191 | |
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| 192 | LOGICAL :: vector ! |
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| 193 | INTEGER :: ikl ! |
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| 194 | INTEGER :: isn ,isnp ! |
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| 195 | INTEGER :: istoOK ! |
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| 196 | REAL :: G1_bak,G2_bak ! Old Values of G1, G2 |
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| 197 | REAL :: ro_dry(knonv, nsno) ! Dry Density [g/cm3] |
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| 198 | REAL :: etaSno(knonv, nsno) ! Liquid Water Content [g/cm2] |
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| 199 | REAL :: SnMass(knonv) ! Snow Mass [kg/m2] |
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| 200 | REAL :: dTsndz ! Temperature Gradient |
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| 201 | REAL :: sWater ! Water Content [%] |
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| 202 | REAL :: exp1Wa ! |
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| 203 | REAL :: dDENDR ! Dendricity Increment |
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| 204 | REAL :: DENDRn ! Normalized Dendricity |
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| 205 | REAL :: SPHERn ! Normalized Sphericity |
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| 206 | REAL :: Wet_OK ! Wet Metamorphism Switch |
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| 207 | REAL :: OK__DE ! |
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| 208 | REAL :: OK__wd ! New G*, from wet Dendritic |
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| 209 | REAL :: G1__wd ! New G1, from wet Dendritic |
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| 210 | REAL :: G2__wd ! New G2, from wet Dendritic |
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| 211 | REAL :: OKlowT ! |
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| 212 | REAL :: facVap ! |
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| 213 | REAL :: OK_ldd ! |
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| 214 | REAL :: G1_ldd ! |
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| 215 | REAL :: G2_ldd ! |
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| 216 | REAL :: DiamGx ! |
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| 217 | REAL :: DiamOK ! |
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| 218 | REAL :: No_Big ! |
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| 219 | REAL :: dSPHER ! |
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| 220 | REAL :: SPHER0 ! |
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| 221 | REAL :: SPHbig ! |
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| 222 | REAL :: G1_lds ! |
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| 223 | REAL :: OK_mdT ! |
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| 224 | REAL :: OKmidT ! |
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| 225 | REAL :: OKhigT ! |
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| 226 | REAL :: OK_mdd ! |
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| 227 | REAL :: G1_mdd ! |
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| 228 | REAL :: G2_mdd ! |
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| 229 | REAL :: G1_mds ! |
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| 230 | REAL :: OK_hdd ! |
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| 231 | REAL :: G1_hdd ! |
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| 232 | REAL :: G2_hdd ! |
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| 233 | REAL :: OK_hds ! |
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| 234 | REAL :: G1_hds ! |
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| 235 | REAL :: T1__OK,T2__OK ! |
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| 236 | REAL :: T3_xOK,T3__OK,T3_nOK ! |
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| 237 | REAL :: ro1_OK,ro2_OK ! |
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| 238 | REAL :: dT1_OK,dT2_OK,dT3xOK,dT3_OK ! |
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| 239 | REAL :: dT4xOK,dT4_OK,dT4nOK,AngSno ! |
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| 240 | REAL :: G2_hds,SphrOK,HISupd ! |
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| 241 | REAL :: H1a_OK,H1b_OK,H1__OK ! |
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| 242 | REAL :: H23aOK,H23bOK,H23_OK ! |
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| 243 | REAL :: H2__OK,H3__OK ! |
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| 244 | REAL :: H45_OK,H4__OK,H5__OK ! |
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| 245 | REAL :: ViscSn,OK_Liq,OK_Ang,OKxLiq ! |
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| 246 | REAL :: dSnMas,dzsnew,rosnew,rosmax,smb_old,smb_new |
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| 247 | REAL :: zn_old,zn_new |
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| 248 | |
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| 249 | REAL :: epsi5 ! Alpha ev67 single precision |
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| 250 | REAL :: vdiam1 ! Small Grains Min.Diam.[.0001m] |
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| 251 | REAL :: vdiam2 ! Spher.Variat.Max Diam. [mm] |
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| 252 | REAL :: vdiam3 ! Min.Diam.|Limit Spher. [mm] |
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| 253 | REAL :: vdiam4 ! Min.Diam.|Viscosity Change |
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| 254 | REAL :: vsphe1 ! Max Sphericity |
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| 255 | REAL :: vsphe2 ! Low T Metamorphism Coeff. |
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| 256 | REAL :: vsphe3 ! Max.Sphericity (history=1) |
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| 257 | REAL :: vsphe4 ! Min.Sphericity=>history=1 |
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| 258 | REAL :: vtang1,vtang2,vtang3,vtang4 ! Temperature Contribution |
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| 259 | REAL :: vtang5,vtang6,vtang7,vtang8 ! |
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| 260 | REAL :: vtang9,vtanga,vtangb,vtangc ! |
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| 261 | REAL :: vrang1,vrang2 ! Density Contribution |
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| 262 | REAL :: vgang1,vgang2,vgang3,vgang4 ! Grad(T) Contribution |
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| 263 | REAL :: vgang5,vgang6,vgang7,vgang8 ! |
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| 264 | REAL :: vgang9,vganga,vgangb,vgangc ! |
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| 265 | REAL :: vgran6 ! Max.Sphericity for Settling |
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| 266 | REAL :: vtelv1 ! Threshold | history = 2, 3 |
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| 267 | REAL :: vvap1 ! Vapor Pressure Coefficient |
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| 268 | REAL :: vvap2 ! Vapor Pressure Exponent |
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| 269 | REAL :: vgrat1 ! Boundary weak/mid grad(T) |
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| 270 | REAL :: vgrat2 ! Boundary mid/strong grad(T) |
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| 271 | REAL :: vfi ! PHI, strong grad(T) |
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| 272 | REAL :: vvisc1,vvisc2,vvisc3,vvisc4 ! Viscosity Coefficients |
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| 273 | REAL :: vvisc5,vvisc6,vvisc7 ! id., wet Snow |
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| 274 | REAL :: rovisc ! Wet Snow Density Influence |
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| 275 | REAL :: vdz3 ! Maximum Layer Densification |
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| 276 | REAL :: OK__ws ! New G2 |
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| 277 | REAL :: G1__ws ! New G1, from wet Spheric |
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| 278 | REAL :: G2__ws ! New G2, from wet Spheric |
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| 279 | REAL :: husi_0,husi_1,husi_2,husi_3 ! Constants for New G2 |
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| 280 | REAL :: vtail1,vtail2 ! Constants for New G2 |
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| 281 | REAL :: frac_j ! Time Step [Day] |
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| 282 | |
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| 283 | REAL :: vdent1 ! Wet Snow Metamorphism |
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| 284 | INTEGER :: nvdent1 ! (Coefficients for |
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| 285 | INTEGER :: nvdent2 ! Dendricity) |
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| 286 | |
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| 287 | ! +--Snow Properties: IO |
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| 288 | ! + ~~~~~~~~~~~~~~~~~~~ |
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| 289 | ! #vp real G_curr(18),Gcases(18) |
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| 290 | ! #vp common /GSnLOC/ Gcases |
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| 291 | ! #wp real D__MAX |
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| 292 | ! #wp common /GSnMAX/ D__MAX |
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| 293 | |
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| 294 | |
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| 295 | ! +--DATA |
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| 296 | ! + ==== |
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| 297 | |
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| 298 | data vector/.TRUE./ ! Vectorization Switch |
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| 299 | data vdent1/ 0.5e8/ ! Wet Snow Metamorphism |
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| 300 | !XF tuned for Greenland (2.e8=old value) |
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| 301 | data nvdent1/ 3 / ! (Coefficients for |
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| 302 | data nvdent2/16 / ! Dendricity) |
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| 303 | |
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| 304 | data husi_0 /20. / ! 10 * 2 |
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| 305 | data husi_1 / 0.23873 / ! (3/4) /pi |
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| 306 | data husi_2 / 4.18880 / ! (4/3) *pi |
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| 307 | data husi_3 / 0.33333 / ! 1/3 |
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| 308 | data vtail1 / 1.28e-08/ ! Wet Metamorphism |
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| 309 | data vtail2 / 4.22e-10/ ! (NON Dendritic / Spheric) |
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| 310 | |
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| 311 | data epsi5 / 1.0e-5 / ! |
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| 312 | |
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| 313 | data vdiam1 / 4.0 / ! Small Grains Min.Diameter |
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| 314 | |
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| 315 | data vdiam2 / 0.5 / ! Spher.Variat.Max Diam.[mm] |
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| 316 | data vdiam3 / 3.0 / ! Min.Diam.|Limit Spher.[mm] |
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| 317 | data vdiam4 / 2.0 / ! Min.Diam.|Viscosity Change |
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| 318 | |
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| 319 | data vsphe1 / 1.0 / ! Max Sphericity |
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| 320 | data vsphe2 / 1.0e9 / ! Low T Metamorphism Coeff. |
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| 321 | data vsphe3 / 0.5 / ! Max.Sphericity (history=1) |
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| 322 | data vsphe4 / 0.1 / ! Min.Sphericity=>history=1 |
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| 323 | |
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| 324 | data vgran6 / 51. / ! Max.Sphericity for Settling |
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| 325 | data vtelv1 / 5.e-1 / ! Threshold | history = 2, 3 |
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| 326 | |
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| 327 | data vvap1 /-6.e3 / ! Vapor Pressure Coefficient |
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| 328 | data vvap2 / 0.4 / ! Vapor Pressure Exponent |
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| 329 | |
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| 330 | data vgrat1 /0.05 / ! Boundary weak/mid grad(T) |
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| 331 | data vgrat2 /0.15 / ! Boundary mid/strong grad(T) |
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| 332 | data vfi /0.09 / ! PHI, strong grad(T) |
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| 333 | |
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| 334 | data vvisc1 / 0.70 / ! Viscosity Coefficients |
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| 335 | data vvisc2 / 1.11e5 / ! |
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| 336 | data vvisc3 /23.00 / ! |
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| 337 | data vvisc4 / 0.10 / ! |
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| 338 | data vvisc5 / 1.00 / ! id., wet Snow |
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| 339 | data vvisc6 / 2.00 / ! |
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| 340 | data vvisc7 /10.00 / ! |
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| 341 | data rovisc / 0.25 / ! Wet Snow Density Influence |
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| 342 | data vdz3 / 0.30 / ! Maximum Layer Densification |
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| 343 | |
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| 344 | |
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| 345 | ! +--DATA (Coefficient Fonction fort Gradient Marbouty) |
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| 346 | ! + -------------------------------------------------- |
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| 347 | |
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| 348 | data vtang1 /40.0/ ! Temperature Contribution |
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| 349 | data vtang2 / 6.0/ ! |
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| 350 | data vtang3 /22.0/ ! |
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| 351 | data vtang4 / 0.7/ ! |
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| 352 | data vtang5 / 0.3/ ! |
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| 353 | data vtang6 / 6.0/ ! |
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| 354 | data vtang7 / 1.0/ ! |
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| 355 | data vtang8 / 0.8/ ! |
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| 356 | data vtang9 /16.0/ ! |
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| 357 | data vtanga / 0.2/ ! |
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| 358 | data vtangb / 0.2/ ! |
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| 359 | data vtangc /18.0/ ! |
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| 360 | |
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| 361 | data vrang1 / 0.40/ ! Density Contribution |
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| 362 | data vrang2 / 0.15/ ! |
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| 363 | |
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| 364 | data vgang1 / 0.70/ ! Grad(T) Contribution |
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| 365 | data vgang2 / 0.25/ ! |
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| 366 | data vgang3 / 0.40/ ! |
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| 367 | data vgang4 / 0.50/ ! |
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| 368 | data vgang5 / 0.10/ ! |
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| 369 | data vgang6 / 0.15/ ! |
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| 370 | data vgang7 / 0.10/ ! |
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| 371 | data vgang8 / 0.55/ ! |
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| 372 | data vgang9 / 0.65/ ! |
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| 373 | data vganga / 0.20/ ! |
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| 374 | data vgangb / 0.85/ ! |
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| 375 | data vgangc / 0.15/ ! |
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| 376 | |
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| 377 | ! #wp data D__MAX / 4.00/ ! |
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| 378 | |
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| 379 | |
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| 380 | ! +-- 1. Metamorphoses dans les Strates |
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| 381 | ! + Metamorphism |
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| 382 | ! + ============================== |
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| 383 | |
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| 384 | dt__SV2= dt__SV |
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| 385 | frac_j = dt__SV2 / 86400. ! Time Step [Day] |
|---|
| 386 | |
|---|
| 387 | zn4_SV = 0 |
|---|
| 388 | |
|---|
| 389 | |
|---|
| 390 | ! +-- 1.1 Initialisation: teneur en eau liquide et gradient de temperature |
|---|
| 391 | ! + ------------------ liquid water content and temperature gradient |
|---|
| 392 | |
|---|
| 393 | DO ikl=1,knonv |
|---|
| 394 | DO isn=1,isnoSV(ikl) |
|---|
| 395 | |
|---|
| 396 | ro_dry(ikl,isn) = 1.e-3 *ro__SV(ikl,isn) & ! Dry Density |
|---|
| 397 | *(1. -eta_SV(ikl,isn)) ! [g/cm3] |
|---|
| 398 | etaSno(ikl,isn) = 1.e-1 *dzsnSV(ikl,isn) & ! Liquid Water |
|---|
| 399 | * ro__SV(ikl,isn) & ! Content [g/cm2] |
|---|
| 400 | * eta_SV(ikl,isn) ! |
|---|
| 401 | END DO |
|---|
| 402 | END DO |
|---|
| 403 | |
|---|
| 404 | !!$OMP PARALLEL DO default(firstprivate) |
|---|
| 405 | !!$OMP.shared (/xSISVAT_I/,/xSISVAT_R/,/SoR0SV/,/SoI0SV/,/Sn_dSV/) |
|---|
| 406 | DO ikl=1,knonv |
|---|
| 407 | DO isn=1,isnoSV(ikl) |
|---|
| 408 | isnp = min(isn+1,isnoSV(ikl)) |
|---|
| 409 | |
|---|
| 410 | dTsndz = abs( (TsisSV(ikl,isnp)-TsisSV(ikl,isn-1)) *2.e-2 & |
|---|
| 411 | /max(((dzsnSV(ikl,isnp)+dzsnSV(ikl,isn) ) & |
|---|
| 412 | *( isnp - isn) & |
|---|
| 413 | +(dzsnSV(ikl,isn )+dzsnSV(ikl,isn-1))),epsi)) |
|---|
| 414 | ! +... Factor 1.d-2 for Conversion K/m --> K/cm |
|---|
| 415 | |
|---|
| 416 | |
|---|
| 417 | ! +-- 1.2 Metamorphose humide |
|---|
| 418 | ! + Wet Snow Metamorphism |
|---|
| 419 | ! + --------------------- |
|---|
| 420 | |
|---|
| 421 | Wet_OK = max(zero,sign(unun,eta_SV(ikl,isn)-epsi)) |
|---|
| 422 | |
|---|
| 423 | |
|---|
| 424 | ! +-- Vitesse de diminution de la dendricite |
|---|
| 425 | ! + Rate of the dendricity decrease |
|---|
| 426 | ! + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
|---|
| 427 | sWater=1.d-1*ro__SV(ikl,isn)*eta_SV(ikl,isn) & |
|---|
| 428 | /max(epsi,ro_dry(ikl,isn)) |
|---|
| 429 | ! +... sWater:Water Content [%] |
|---|
| 430 | ! + 1.d-1= 1.d2(1->%) * 1.d-3(ro__SV*eta_SV:kg/m3->g/cm3) |
|---|
| 431 | |
|---|
| 432 | exp1Wa= sWater**nvdent1 |
|---|
| 433 | dDENDR=max(exp1Wa/nvdent2,vdent1*exp(vvap1/TfSnow)) |
|---|
| 434 | |
|---|
| 435 | ! +-- 1.2.1 Cas dendritique/dendritic Case |
|---|
| 436 | ! + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
|---|
| 437 | OK__wd=max(zero, & ! |
|---|
| 438 | sign(unun,-G1snSV(ikl,isn) & ! |
|---|
| 439 | -epsi )) ! |
|---|
| 440 | |
|---|
| 441 | DENDRn=-G1snSV(ikl,isn)/G1_dSV ! Normalized Dendricity (+) |
|---|
| 442 | SPHERn= G2snSV(ikl,isn)/G1_dSV ! Normalized Sphericity |
|---|
| 443 | DENDRn= DENDRn -dDENDR *frac_j ! New Dendricity (+) |
|---|
| 444 | SPHERn= SPHERn +dDENDR *frac_j ! New Sphericity |
|---|
| 445 | |
|---|
| 446 | OK__DE=max(zero, & ! IF 1., |
|---|
| 447 | sign(unun, DENDRn & ! NO change |
|---|
| 448 | -epsi )) ! Dendr. -> Spheric |
|---|
| 449 | |
|---|
| 450 | G1__wd=OK__DE * ( -DENDRn*G1_dSV) & ! Dendritic |
|---|
| 451 | +(1.-OK__DE)* min(G1_dSV,SPHERn*G1_dSV) ! Dendr. -> Spheric |
|---|
| 452 | G2__wd=OK__DE * min(G1_dSV,SPHERn*G1_dSV) & ! Spheric |
|---|
| 453 | +(1.-OK__DE)*(ADSdSV-min(SPHERn,vsphe1)) ! Spher. -> Size |
|---|
| 454 | |
|---|
| 455 | ! +-- 1.2.2 Cas non dendritique non completement spherique |
|---|
| 456 | ! + Evolution de la Sphericite seulement. |
|---|
| 457 | ! + Non dendritic and not completely spheric Case |
|---|
| 458 | ! + Evolution of Sphericity only (not size) |
|---|
| 459 | ! + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
|---|
| 460 | OK__ws=max(zero, & ! |
|---|
| 461 | sign(unun, G1_dSV & ! |
|---|
| 462 | -epsi5 & ! |
|---|
| 463 | -G1snSV(ikl,isn))) ! |
|---|
| 464 | |
|---|
| 465 | SPHERn= G1snSV(ikl,isn)/G1_dSV |
|---|
| 466 | SPHERn= SPHERn +dDENDR *frac_j |
|---|
| 467 | G1__ws= min(G1_dSV,SPHERn*G1_dSV) |
|---|
| 468 | |
|---|
| 469 | ! +-- 1.2.3 Cas non dendritique et spherique / non dendritic and spheric |
|---|
| 470 | ! + Evolution de la Taille seulement / Evolution of Size only |
|---|
| 471 | ! + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
|---|
| 472 | G2__ws = husi_0 & |
|---|
| 473 | *( husi_1 & |
|---|
| 474 | *(husi_2 *( G2snSV(ikl,isn)/husi_0)**3 & |
|---|
| 475 | +(vtail1 +vtail2 *exp1Wa )*dt__SV2)) & |
|---|
| 476 | ** husi_3 |
|---|
| 477 | |
|---|
| 478 | |
|---|
| 479 | ! +-- 1.3 Metamorposes seches / Dry Metamorphism |
|---|
| 480 | ! + -------------------------------------- |
|---|
| 481 | |
|---|
| 482 | |
|---|
| 483 | ! +-- 1.3.1 Calcul Metamorphose faible/low Gradient (0.00-0.05 deg/cm) |
|---|
| 484 | ! + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
|---|
| 485 | OKlowT=max(zero, & ! |
|---|
| 486 | sign(unun, vgrat1 & ! |
|---|
| 487 | -dTsndz )) ! |
|---|
| 488 | |
|---|
| 489 | facVap=exp(vvap1/TsisSV(ikl,isn)) |
|---|
| 490 | |
|---|
| 491 | ! +-- 1.3.1.1 Cas dendritique / dendritic Case |
|---|
| 492 | |
|---|
| 493 | OK_ldd=max(zero, & ! |
|---|
| 494 | sign(unun,-G1snSV(ikl,isn) & ! |
|---|
| 495 | -epsi )) ! |
|---|
| 496 | |
|---|
| 497 | DENDRn=-G1snSV(ikl,isn) /G1_dSV |
|---|
| 498 | SPHERn= G2snSV(ikl,isn) /G1_dSV |
|---|
| 499 | DENDRn= DENDRn-vdent1*facVap*frac_j |
|---|
| 500 | SPHERn= SPHERn+vsphe2*facVap*frac_j |
|---|
| 501 | |
|---|
| 502 | OK__DE=max(zero, & ! IF 1., |
|---|
| 503 | sign(unun, DENDRn & ! NO change |
|---|
| 504 | -epsi )) ! Dendr. -> Spheric |
|---|
| 505 | |
|---|
| 506 | G1_ldd= OK__DE * ( -DENDRn*G1_dSV) & ! Dendritic |
|---|
| 507 | +(1.-OK__DE)* min(G1_dSV,SPHERn*G1_dSV) ! Dendr. -> Spheric |
|---|
| 508 | G2_ldd= OK__DE * min(G1_dSV,SPHERn*G1_dSV) & ! Spheric |
|---|
| 509 | +(1.-OK__DE)*(ADSdSV-min(SPHERn,vsphe1)) ! Spher. -> Size |
|---|
| 510 | |
|---|
| 511 | ! +-- 1.3.1.2 Cas non dendritique / non dendritic Case |
|---|
| 512 | |
|---|
| 513 | SPHERn=G1snSV(ikl,isn)/G1_dSV |
|---|
| 514 | DiamGx=G2snSV(ikl,isn)*0.1 |
|---|
| 515 | |
|---|
| 516 | istoOK=min( abs(istoSV(ikl,isn)- & |
|---|
| 517 | istdSV(1) ),1) ! zero if istoSV = 1 |
|---|
| 518 | DiamOK=max(zero, sign(unun,vdiam2-DiamGx)) |
|---|
| 519 | No_Big= istoOK+DiamOK |
|---|
| 520 | No_Big=min(No_Big,unun) |
|---|
| 521 | |
|---|
| 522 | dSPHER= vsphe2*facVap*frac_j ! |
|---|
| 523 | SPHER0= SPHERn+dSPHER ! small grains |
|---|
| 524 | SPHbig= SPHERn+dSPHER & ! big grains |
|---|
| 525 | *exp(min(zero,vdiam3-G2snSV(ikl,isn))) ! (history = 2 or 3) |
|---|
| 526 | SPHbig= min(vsphe3,SPHbig) ! limited sphericity |
|---|
| 527 | SPHERn= No_Big * SPHER0 & |
|---|
| 528 | + (1.-No_Big)* SPHbig |
|---|
| 529 | |
|---|
| 530 | G1_lds= min(G1_dSV,SPHERn*G1_dSV) |
|---|
| 531 | |
|---|
| 532 | ! +-- 1.3.2 Calcul Metamorphose Gradient Moyen/Moderate (0.05-0.15) |
|---|
| 533 | ! + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
|---|
| 534 | OK_mdT=max(zero, & ! |
|---|
| 535 | sign(unun, vgrat2 & ! |
|---|
| 536 | -dTsndz)) ! |
|---|
| 537 | OKmidT= OK_mdT *(1.-OKlowT) ! |
|---|
| 538 | OKhigT= (1. -OK_mdT) *(1.-OKlowT) ! |
|---|
| 539 | |
|---|
| 540 | facVap=vdent1*exp(vvap1/TsisSV(ikl,isn)) & |
|---|
| 541 | * (1.e2 *dTsndz)**vvap2 |
|---|
| 542 | |
|---|
| 543 | ! +-- 1.3.2.1 cas dendritique / dendritic case. |
|---|
| 544 | |
|---|
| 545 | OK_mdd=max(zero, & ! |
|---|
| 546 | sign(unun,-G1snSV(ikl,isn) & ! |
|---|
| 547 | -epsi )) ! |
|---|
| 548 | |
|---|
| 549 | DENDRn=-G1snSV(ikl,isn)/G1_dSV |
|---|
| 550 | SPHERn= G2snSV(ikl,isn)/G1_dSV |
|---|
| 551 | DENDRn= DENDRn - facVap*frac_j |
|---|
| 552 | SPHERn= SPHERn - facVap*frac_j |
|---|
| 553 | |
|---|
| 554 | OK__DE=max(zero, & ! IF 1., |
|---|
| 555 | sign(unun, DENDRn & ! NO change |
|---|
| 556 | -epsi )) ! Dendr. -> Spheric |
|---|
| 557 | |
|---|
| 558 | G1_mdd= OK__DE * ( -DENDRn*G1_dSV) & ! Dendritic |
|---|
| 559 | +(1.-OK__DE)* max(zero ,SPHERn*G1_dSV) ! Dendr. -> Spheric |
|---|
| 560 | G2_mdd= OK__DE * max(zero ,SPHERn*G1_dSV) & ! Spheric |
|---|
| 561 | +(1.-OK__DE)*(ADSdSV-max(SPHERn,zero )) ! Spher. -> Size |
|---|
| 562 | |
|---|
| 563 | ! +-- 1.3.2.2 Cas non dendritique / non dendritic Case |
|---|
| 564 | |
|---|
| 565 | SPHERn=G1snSV(ikl,isn)/G1_dSV |
|---|
| 566 | SPHERn= SPHERn-facVap*frac_j |
|---|
| 567 | G1_mds=max(zero,SPHERn*G1_dSV) |
|---|
| 568 | |
|---|
| 569 | ! +-- 1.3.3 Calcul Metamorphose fort / high Gradient |
|---|
| 570 | ! + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
|---|
| 571 | facVap=vdent1*exp(vvap1/TsisSV(ikl,isn)) & |
|---|
| 572 | * (1.e2 *dTsndz)**vvap2 |
|---|
| 573 | |
|---|
| 574 | ! +-- 1.3.3.1 Cas dendritique / dendritic Case |
|---|
| 575 | |
|---|
| 576 | OK_hdd=max(zero, & ! |
|---|
| 577 | sign(unun,-G1snSV(ikl,isn) & ! |
|---|
| 578 | -epsi )) ! |
|---|
| 579 | |
|---|
| 580 | DENDRn=-G1snSV(ikl,isn)/G1_dSV ! |
|---|
| 581 | SPHERn= G2snSV(ikl,isn)/G1_dSV ! |
|---|
| 582 | DENDRn= DENDRn - facVap*frac_j ! |
|---|
| 583 | SPHERn= SPHERn - facVap*frac_j ! Non dendritic |
|---|
| 584 | ! + ! and angular |
|---|
| 585 | OK__DE=max(zero, & ! IF 1., |
|---|
| 586 | sign(unun, DENDRn & ! NO change |
|---|
| 587 | -epsi )) ! Dendr. -> Spheric |
|---|
| 588 | |
|---|
| 589 | G1_hdd= OK__DE * ( -DENDRn*G1_dSV) & ! Dendritic |
|---|
| 590 | +(1.-OK__DE)* max(zero ,SPHERn*G1_dSV) ! Dendr. -> Spheric |
|---|
| 591 | G2_hdd= OK__DE * max(zero ,SPHERn*G1_dSV) & ! Spheric |
|---|
| 592 | +(1.-OK__DE)*(ADSdSV-max(SPHERn,zero )) ! Spher. -> Size |
|---|
| 593 | |
|---|
| 594 | ! +-- 1.3.3.2 Cas non dendritique non completement anguleux. |
|---|
| 595 | ! + non dendritic and spericity gt. 0 |
|---|
| 596 | |
|---|
| 597 | OK_hds=max(zero, & ! |
|---|
| 598 | sign(unun, G1snSV(ikl,isn) & ! |
|---|
| 599 | -epsi )) ! |
|---|
| 600 | |
|---|
| 601 | SPHERn= G1snSV(ikl,isn)/G1_dSV |
|---|
| 602 | SPHERn= SPHERn - facVap*frac_j |
|---|
| 603 | G1_hds= max(zero,SPHERn*G1_dSV) |
|---|
| 604 | |
|---|
| 605 | ! +-- 1.3.3.3 Cas non dendritique et anguleux |
|---|
| 606 | ! + dendritic and spericity = 0. |
|---|
| 607 | |
|---|
| 608 | T1__OK = max(zero,sign(unun,TsisSV(ikl,isn)-TfSnow+vtang1)) |
|---|
| 609 | T2__OK = max(zero,sign(unun,TsisSV(ikl,isn)-TfSnow+vtang2)) |
|---|
| 610 | T3_xOK = max(zero,sign(unun,TsisSV(ikl,isn)-TfSnow+vtang3)) |
|---|
| 611 | T3__OK = T3_xOK * (1. - T2__OK) |
|---|
| 612 | T3_nOK = (1. - T3_xOK) * (1. - T2__OK) |
|---|
| 613 | ro1_OK = max(zero,sign(unun,vrang1-ro_dry(ikl,isn))) |
|---|
| 614 | ro2_OK = max(zero,sign(unun,ro_dry(ikl,isn)-vrang2)) |
|---|
| 615 | dT1_OK = max(zero,sign(unun,vgang1-dTsndz )) |
|---|
| 616 | dT2_OK = max(zero,sign(unun,vgang2-dTsndz )) |
|---|
| 617 | dT3xOK = max(zero,sign(unun,vgang3-dTsndz )) |
|---|
| 618 | dT3_OK = dT3xOK * (1. - dT2_OK) |
|---|
| 619 | dT4xOK = max(zero,sign(unun,vgang4-dTsndz )) |
|---|
| 620 | dT4_OK = dT4xOK * (1. - dT3_OK) & |
|---|
| 621 | * (1. - dT2_OK) |
|---|
| 622 | dT4nOK = (1. - dT4xOK) * (1. - dT3_OK) & |
|---|
| 623 | * (1. - dT2_OK) |
|---|
| 624 | |
|---|
| 625 | ! +-- Influence de la Temperature /Temperature Influence |
|---|
| 626 | ! + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
|---|
| 627 | AngSno = & |
|---|
| 628 | T1__OK & ! 11 |
|---|
| 629 | *(T2__OK*(vtang4+vtang5*(TfSnow -TsisSV(ikl,isn)) & ! 12 |
|---|
| 630 | /vtang6) & ! |
|---|
| 631 | +T3__OK*(vtang7-vtang8*(TfSnow-vtang2-TsisSV(ikl,isn)) & ! 13 |
|---|
| 632 | /vtang9) & ! |
|---|
| 633 | +T3_nOK*(vtanga-vtangb*(TfSnow-vtang3-TsisSV(ikl,isn)) & ! 14 |
|---|
| 634 | /vtangc)) & ! |
|---|
| 635 | |
|---|
| 636 | ! +-- Influence de la Masse Volumique /Density Influence |
|---|
| 637 | ! + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
|---|
| 638 | * ro1_OK & |
|---|
| 639 | *( ro2_OK*(1. - (ro_dry(ikl,isn)-vrang2) & ! |
|---|
| 640 | /(vrang1-vrang2)) & ! |
|---|
| 641 | +1.-ro2_OK ) & ! |
|---|
| 642 | |
|---|
| 643 | ! +-- Influence du Gradient de Temperature /Temperature Gradient Influence |
|---|
| 644 | ! + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
|---|
| 645 | *( dT1_OK*(dT2_OK*vgang5*(dTsndz-vgang6) & ! 15 |
|---|
| 646 | /(vgang2-vgang6) & ! |
|---|
| 647 | +dT3_OK*vgang7 & ! 16 |
|---|
| 648 | +dT4_OK*vgang9 & ! 17 |
|---|
| 649 | +dT4nOK*vgangb ) & ! 18 |
|---|
| 650 | +1.-dT1_OK ) & ! |
|---|
| 651 | + ro1_OK & |
|---|
| 652 | * dT1_OK*(dT3_OK*vgang8*(dTsndz-vgang2) & |
|---|
| 653 | /(vgang3-vgang2) & |
|---|
| 654 | +dT4_OK*vganga*(dTsndz-vgang3) & |
|---|
| 655 | /(vgang4-vgang3) & |
|---|
| 656 | +dT4nOK*vgangc*(dTsndz-vgang4) & |
|---|
| 657 | /(vgang1-vgang4)) |
|---|
| 658 | |
|---|
| 659 | G2_hds = G2snSV(ikl,isn) + 1.d2 *AngSno*vfi *frac_j |
|---|
| 660 | |
|---|
| 661 | |
|---|
| 662 | ! +--New Properties |
|---|
| 663 | ! + -------------- |
|---|
| 664 | |
|---|
| 665 | G1_bak = G1snSV(ikl,isn) |
|---|
| 666 | G2_bak = G2snSV(ikl,isn) |
|---|
| 667 | |
|---|
| 668 | G1snSV(ikl,isn) = Wet_OK * ( OK__wd *G1__wd & ! 1 |
|---|
| 669 | +(1.-OK__wd)* OK__ws *G1__ws & ! 2 |
|---|
| 670 | +(1.-OK__wd)*(1.-OK__ws)*G1_bak) & ! 3 |
|---|
| 671 | +(1. - Wet_OK) & ! |
|---|
| 672 | *( OKlowT *( OK_ldd *G1_ldd & ! 4 |
|---|
| 673 | +(1.-OK_ldd) *G1_lds) & ! 5 |
|---|
| 674 | + OKmidT *( OK_mdd *G1_mdd & ! 6 |
|---|
| 675 | +(1.-OK_mdd) *G1_mds) & ! 7 |
|---|
| 676 | + OKhigT *( OK_hdd *G1_hdd & ! 8 |
|---|
| 677 | +(1.-OK_hdd)* OK_hds *G1_hds & ! 9 |
|---|
| 678 | +(1.-OK_hdd)*(1.-OK_hds)*G1_bak)) ! 10 |
|---|
| 679 | |
|---|
| 680 | !XF |
|---|
| 681 | IF(G1snSV(ikl,isn)<0.1) & |
|---|
| 682 | G2_hds = G2snSV(ikl,isn) + 1.d1 *AngSno*vfi *frac_j |
|---|
| 683 | !XF |
|---|
| 684 | |
|---|
| 685 | |
|---|
| 686 | G2snSV(ikl,isn) = Wet_OK * ( OK__wd *G2__wd & ! 1 |
|---|
| 687 | +(1.-OK__wd)* OK__ws *G2_bak & ! 2 |
|---|
| 688 | +(1.-OK__wd)*(1.-OK__ws)*G2__ws) & ! 3 |
|---|
| 689 | +(1. - Wet_OK) & ! |
|---|
| 690 | *( OKlowT *( OK_ldd *G2_ldd & ! 4 |
|---|
| 691 | +(1.-OK_ldd) *G2_bak) & ! 5 |
|---|
| 692 | + OKmidT *( OK_mdd *G2_mdd & ! 6 |
|---|
| 693 | +(1.-OK_mdd) *G2_bak) & ! 7 |
|---|
| 694 | + OKhigT *( OK_hdd *G2_hdd & ! 8 |
|---|
| 695 | +(1.-OK_hdd)* OK_hds *G2_bak & ! 9 |
|---|
| 696 | +(1.-OK_hdd)*(1.-OK_hds)*G2_hds)) ! 10 |
|---|
| 697 | |
|---|
| 698 | ! +--Snow Properties: IO Set Up |
|---|
| 699 | ! + ~~~~~~~~~~~~~~~~~~~~~~~~~~ |
|---|
| 700 | ! #vp G_curr( 1) = Wet_OK * OK__wd |
|---|
| 701 | ! #vp G_curr( 2) = Wet_OK *(1.-OK__wd)* OK__ws |
|---|
| 702 | ! #vp G_curr( 3) = Wet_OK *(1.-OK__wd)*(1.-OK__ws) |
|---|
| 703 | ! #vp G_curr( 4) = (1.-Wet_OK)* OKlowT * OK_ldd |
|---|
| 704 | ! #vp G_curr( 5) = (1.-Wet_OK)* OKlowT *(1.-OK_ldd) |
|---|
| 705 | ! #vp G_curr( 6) = (1.-Wet_OK)* OKmidT * OK_mdd |
|---|
| 706 | ! #vp G_curr( 7) = (1.-Wet_OK)* OKmidT *(1.-OK_mdd) |
|---|
| 707 | ! #vp G_curr( 8) = (1.-Wet_OK)* OKhigT * OK_hdd |
|---|
| 708 | ! #vp G_curr( 9) = (1.-Wet_OK)* OKhigT *(1.-OK_hdd)* OK_hds |
|---|
| 709 | ! #vp G_curr(10) = (1.-Wet_OK)* OKhigT *(1.-OK_hdd)*(1.-OK_hds) |
|---|
| 710 | ! #vp G_curr(11) = T1__OK * G_curr(10) |
|---|
| 711 | ! #vp G_curr(12) = T2__OK * G_curr(10) |
|---|
| 712 | ! #vp G_curr(13) = T3__OK * G_curr(10) |
|---|
| 713 | ! #vp G_curr(14) = T3_nOK * G_curr(10) |
|---|
| 714 | ! #vp G_curr(15) = ro1_OK* dT1_OK * dT2_OK * G_curr(10) |
|---|
| 715 | ! #vp G_curr(16) = ro1_OK* dT1_OK * dT3_OK * G_curr(10) |
|---|
| 716 | ! #vp G_curr(17) = ro1_OK* dT1_OK * dT4_OK * G_curr(10) |
|---|
| 717 | ! #vp G_curr(18) = ro1_OK* dT1_OK * dT4nOK * G_curr(10) |
|---|
| 718 | |
|---|
| 719 | ! #vp Gcases( 1) = max(Gcases( 1),G_curr( 1)) |
|---|
| 720 | ! #vp Gcases( 2) = max(Gcases( 2),G_curr( 2)) |
|---|
| 721 | ! #vp Gcases( 3) = max(Gcases( 3),G_curr( 3)) |
|---|
| 722 | ! #vp Gcases( 4) = max(Gcases( 4),G_curr( 4)) |
|---|
| 723 | ! #vp Gcases( 5) = max(Gcases( 5),G_curr( 5)) |
|---|
| 724 | ! #vp Gcases( 6) = max(Gcases( 6),G_curr( 6)) |
|---|
| 725 | ! #vp Gcases( 7) = max(Gcases( 7),G_curr( 7)) |
|---|
| 726 | ! #vp Gcases( 8) = max(Gcases( 8),G_curr( 8)) |
|---|
| 727 | ! #vp Gcases( 9) = max(Gcases( 9),G_curr( 9)) |
|---|
| 728 | ! #vp Gcases(10) = max(Gcases(10),G_curr(10)) |
|---|
| 729 | ! #vp Gcases(11) = max(Gcases(11),G_curr(11)) |
|---|
| 730 | ! #vp Gcases(12) = max(Gcases(12),G_curr(12)) |
|---|
| 731 | ! #vp Gcases(13) = max(Gcases(13),G_curr(13)) |
|---|
| 732 | ! #vp Gcases(14) = max(Gcases(14),G_curr(14)) |
|---|
| 733 | ! #vp Gcases(15) = max(Gcases(15),G_curr(15)) |
|---|
| 734 | ! #vp Gcases(16) = max(Gcases(16),G_curr(16)) |
|---|
| 735 | ! #vp Gcases(17) = max(Gcases(17),G_curr(17)) |
|---|
| 736 | ! #vp Gcases(18) = max(Gcases(18),G_curr(18)) |
|---|
| 737 | |
|---|
| 738 | ! +--Snow Properties: IO |
|---|
| 739 | ! + ~~~~~~~~~~~~~~~~~~~ |
|---|
| 740 | ! #vp IF (isn .le. isnoSV(ikl)) |
|---|
| 741 | ! #vp. WRITE(47,471)isn ,isnoSV(ikl) , |
|---|
| 742 | ! #vp. TsisSV(ikl,isn),ro__SV(ikl,isn),eta_SV(ikl,isn), |
|---|
| 743 | ! #vp. G1_bak ,G2_bak ,istoSV(ikl,isn), |
|---|
| 744 | ! #vp. dTsndz, |
|---|
| 745 | ! #vp. ( k ,k=1,18), |
|---|
| 746 | ! #vp. (G_curr(k),k=1,18), |
|---|
| 747 | ! #vp. (Gcases(k),k=1,18), |
|---|
| 748 | ! #vp. Wet_OK,OK__wd,G1__wd,G2__wd, |
|---|
| 749 | ! #vp. 1.-OK__wd,OK__ws,G1__ws,1.-OK__ws,G2__ws, |
|---|
| 750 | ! #vp. 1.-Wet_OK,OKlowT,OK_ldd,G1_ldd, G2_ldd, |
|---|
| 751 | ! #vp. 1.-OK_ldd,G1_lds, |
|---|
| 752 | ! #vp. OKmidT,OK_mdd,G1_mdd, G1_mdd, |
|---|
| 753 | ! #vp. 1.-OK_mdd,G1_mds, |
|---|
| 754 | ! #vp. OKhigT,OK_hdd,G1_hdd, G2_hdd, |
|---|
| 755 | ! #vp. 1.-OK_hdd,OK_hds, G1_hds, |
|---|
| 756 | ! #vp. 1.-OK_hds,G2_hds, |
|---|
| 757 | ! #vp. G1snSV(ikl,isn), |
|---|
| 758 | ! #vp. G2snSV(ikl,isn) |
|---|
| 759 | |
|---|
| 760 | END DO |
|---|
| 761 | END DO |
|---|
| 762 | !!$OMP END PARALLEL DO |
|---|
| 763 | |
|---|
| 764 | ! +-- 2. Mise a Jour Variables Historiques (Cas non dendritique) |
|---|
| 765 | ! + Update of the historical Variables |
|---|
| 766 | ! + ======================================================= |
|---|
| 767 | |
|---|
| 768 | IF (vector) THEN |
|---|
| 769 | !XF |
|---|
| 770 | DO ikl=1,knonv |
|---|
| 771 | DO isn=1,isnoSV(ikl) |
|---|
| 772 | SphrOK = max(zero,sign(unun, G1snSV(ikl,isn))) |
|---|
| 773 | H1a_OK = max(zero,sign(unun,vsphe4-G1snSV(ikl,isn))) |
|---|
| 774 | H1b_OK = 1 - min(1 , istoSV(ikl,isn)) |
|---|
| 775 | H1__OK = H1a_OK*H1b_OK |
|---|
| 776 | H23aOK = max(zero,sign(unun,vsphe4-G1_dSV & |
|---|
| 777 | +G1snSV(ikl,isn))) |
|---|
| 778 | H23bOK = max(zero,sign(unun,etaSno(ikl,isn) & |
|---|
| 779 | /max(epsi,dzsnSV(ikl,isn)) & |
|---|
| 780 | -vtelv1 )) |
|---|
| 781 | H23_OK = H23aOK*H23bOK |
|---|
| 782 | H2__OK = 1 - min(1 , istoSV(ikl,isn)) |
|---|
| 783 | H3__OK = 1 - min(1 , abs(istoSV(ikl,isn)-istdSV(1))) |
|---|
| 784 | H45_OK = max(zero,sign(unun,TfSnow-TsisSV(ikl,isn)+epsi)) |
|---|
| 785 | H4__OK = 1 - min(1 , abs(istoSV(ikl,isn)-istdSV(2))) |
|---|
| 786 | H5__OK = 1 - min(1 , abs(istoSV(ikl,isn)-istdSV(3))) |
|---|
| 787 | |
|---|
| 788 | HISupd = & |
|---|
| 789 | SphrOK*(H1__OK *istdSV(1) & |
|---|
| 790 | +(1.-H1__OK)* H23_OK *(H2__OK*istdSV(2) & |
|---|
| 791 | +H3__OK*istdSV(3)) & |
|---|
| 792 | +(1.-H1__OK)*(1.-H23_OK) *H45_OK*(H4__OK*istdSV(4) & |
|---|
| 793 | +H5__OK*istdSV(5))) |
|---|
| 794 | istoSV(ikl,isn) = HISupd + & |
|---|
| 795 | (1.-min(unun,HISupd)) *istoSV(ikl,isn) |
|---|
| 796 | END DO |
|---|
| 797 | END DO |
|---|
| 798 | ELSE |
|---|
| 799 | |
|---|
| 800 | |
|---|
| 801 | ! +-- 2. Mise a Jour Variables Historiques (Cas non dendritique) |
|---|
| 802 | ! + Update of the historical Variables |
|---|
| 803 | ! + ======================================================= |
|---|
| 804 | |
|---|
| 805 | DO ikl=1,knonv |
|---|
| 806 | DO isn=iiceSV(ikl),isnoSV(ikl) |
|---|
| 807 | IF (G1snSV(ikl,isn)>=0.) THEN |
|---|
| 808 | IF(G1snSV(ikl,isn)<vsphe4.AND.istoSV(ikl,isn)==0) THEN |
|---|
| 809 | istoSV(ikl,isn)=istdSV(1) |
|---|
| 810 | ELSEIF(G1_dSV-G1snSV(ikl,isn) <vsphe4.AND. & |
|---|
| 811 | etaSno(ikl,isn)/dzsnSV(ikl,isn)>vtelv1) THEN |
|---|
| 812 | IF (istoSV(ikl,isn)==0) & |
|---|
| 813 | istoSV(ikl,isn)= istdSV(2) |
|---|
| 814 | IF (istoSV(ikl,isn)==istdSV(1)) & |
|---|
| 815 | istoSV(ikl,isn)= istdSV(3) |
|---|
| 816 | ELSEIF(TsisSV(ikl,isn)<TfSnow) THEN |
|---|
| 817 | IF (istoSV(ikl,isn)==istdSV(2)) & |
|---|
| 818 | istoSV(ikl,isn)= istdSV(4) |
|---|
| 819 | IF (istoSV(ikl,isn)==istdSV(3)) & |
|---|
| 820 | istoSV(ikl,isn)= istdSV(5) |
|---|
| 821 | END IF |
|---|
| 822 | END IF |
|---|
| 823 | END DO |
|---|
| 824 | END DO |
|---|
| 825 | END IF |
|---|
| 826 | |
|---|
| 827 | |
|---|
| 828 | ! +-- 3. Tassement mecanique /mechanical Settlement |
|---|
| 829 | ! + ========================================== |
|---|
| 830 | |
|---|
| 831 | DO ikl=1,knonv |
|---|
| 832 | SnMass(ikl) = 0. |
|---|
| 833 | END DO |
|---|
| 834 | !XF |
|---|
| 835 | DO ikl=1,knonv |
|---|
| 836 | |
|---|
| 837 | smb_old = 0. |
|---|
| 838 | zn_old = 0 |
|---|
| 839 | DO isn = 1, isnoSV(ikl) |
|---|
| 840 | smb_old = smb_old + dzsnSV(ikl,isn) *ro__SV(ikl,isn) |
|---|
| 841 | zn_old = zn_old + dzsnSV(ikl,isn) |
|---|
| 842 | ENDDO |
|---|
| 843 | |
|---|
| 844 | DO isn=isnoSV(ikl),1,-1 |
|---|
| 845 | dSnMas = 100.*dzsnSV(ikl,isn)*ro_dry(ikl,isn) |
|---|
| 846 | SnMass(ikl)= SnMass(ikl)+0.5*dSnMas |
|---|
| 847 | ViscSn = vvisc1 *vvisc2 & |
|---|
| 848 | *exp(vvisc3 *ro_dry(ikl,isn) & |
|---|
| 849 | +vvisc4*abs(TfSnow-TsisSV(ikl,isn))) & |
|---|
| 850 | *ro_dry(ikl,isn)/rovisc |
|---|
| 851 | |
|---|
| 852 | ! +-- Changement de Viscosite si Teneur en Eau liquide |
|---|
| 853 | ! + Change of the Viscosity if liquid Water Content |
|---|
| 854 | ! + ------------------------------------------------ |
|---|
| 855 | |
|---|
| 856 | OK_Liq = max(zero,sign(unun,etaSno(ikl,isn)-epsi)) |
|---|
| 857 | OK_Ang = max(zero,sign(unun,vgran6-G1snSV(ikl,isn))) & |
|---|
| 858 | *(1-min(1 , abs(istoSV(ikl,isn)-istdSV(1)))) |
|---|
| 859 | ! #wp IF (G1snSV(ikl,isn).gt.0..AND.G1snSV(ikl,isn).lt.vsphe4 |
|---|
| 860 | ! #wp. .AND.istoSV(ikl,isn).EQ. 0) |
|---|
| 861 | ! #wp. THEN |
|---|
| 862 | ! #wp WRITE(6,*) ikl,isn,' G1,G2,hist,OK_Ang ', |
|---|
| 863 | ! #wp. G1snSV(ikl,isn), G2snSV(ikl,isn),istoSV(ikl,isn),OK_Ang |
|---|
| 864 | ! #wp stop "Grains anguleux mal d?finis" |
|---|
| 865 | ! #wp END IF |
|---|
| 866 | OKxLiq = max(zero,sign(unun,vtelv1-etaSno(ikl,isn) & |
|---|
| 867 | /max(epsi,dzsnSV(ikl,isn)))) & |
|---|
| 868 | * max(0 ,sign(1 ,istoSV(ikl,isn) & |
|---|
| 869 | -istdSV(1) )) |
|---|
| 870 | ViscSn = & |
|---|
| 871 | ViscSn*( OK_Liq/(vvisc5+vvisc6*etaSno(ikl,isn) & |
|---|
| 872 | /max(epsi,dzsnSV(ikl,isn))) & |
|---|
| 873 | +(1.-OK_Liq) ) & |
|---|
| 874 | *( OK_Ang*exp(min(ADSdSV,G2snSV(ikl,isn)-vdiam4)) & |
|---|
| 875 | +(1.-OK_Ang) ) & |
|---|
| 876 | *( OKxLiq* vvisc7 & |
|---|
| 877 | +(1.-OKxLiq) ) |
|---|
| 878 | |
|---|
| 879 | |
|---|
| 880 | ! +-- Calcul nouvelle Epaisseur / new Thickness |
|---|
| 881 | ! + ----------------------------------------- |
|---|
| 882 | |
|---|
| 883 | dzsnew = & |
|---|
| 884 | dzsnSV(ikl,isn) & |
|---|
| 885 | *max(vdz3, & |
|---|
| 886 | (unun-dt__SV2*max(SnMass(ikl)*cos(slopSV(ikl)),unun) & |
|---|
| 887 | /max(ViscSn ,epsi))) |
|---|
| 888 | rosnew = ro__SV(ikl,isn) *dzsnSV(ikl,isn) & |
|---|
| 889 | /max(1e-10,dzsnew) |
|---|
| 890 | rosmax = 1. /( (1. -eta_SV(ikl,isn)) /ro_Ice & |
|---|
| 891 | + eta_SV(ikl,isn) /ro_Wat) |
|---|
| 892 | rosnew = min(rosnew ,rosmax) |
|---|
| 893 | dzsnew = dzsnSV(ikl,isn) *ro__SV(ikl,isn) & |
|---|
| 894 | /max(1e-10,rosnew) |
|---|
| 895 | ro__SV(ikl,isn)= rosnew |
|---|
| 896 | dzsnSV(ikl,isn)= dzsnew |
|---|
| 897 | ro_dry(ikl,isn)= ro__SV(ikl,isn)*(1.-eta_SV(ikl,isn))*1.e-3 |
|---|
| 898 | ! +... ro_dry: Dry Density (g/cm3) |
|---|
| 899 | ! + |
|---|
| 900 | SnMass(ikl) = SnMass(ikl)+dSnMas*0.5 |
|---|
| 901 | END DO |
|---|
| 902 | |
|---|
| 903 | smb_new = 0. |
|---|
| 904 | DO isn = 1, isnoSV(ikl) |
|---|
| 905 | smb_new = smb_new + dzsnSV(ikl,isn) *ro__SV(ikl,isn) |
|---|
| 906 | ENDDO |
|---|
| 907 | |
|---|
| 908 | isn=1 |
|---|
| 909 | IF (dzsnSV(ikl,isn)>0.AND.ro__SV(ikl,isn)>0) THEN |
|---|
| 910 | dzsnSV(ikl,isn) = dzsnSV(ikl,isn) +0.9999*(smb_old-smb_new) & |
|---|
| 911 | / ro__SV(ikl,isn) |
|---|
| 912 | endif |
|---|
| 913 | |
|---|
| 914 | zn_new = 0 |
|---|
| 915 | DO isn = 1, isnoSV(ikl) |
|---|
| 916 | zn_new = zn_new + dzsnSV(ikl,isn) |
|---|
| 917 | ENDDO |
|---|
| 918 | zn4_SV(ikl) = zn4_SV(ikl) + (zn_new - zn_old) |
|---|
| 919 | |
|---|
| 920 | END DO |
|---|
| 921 | |
|---|
| 922 | |
|---|
| 923 | |
|---|
| 924 | |
|---|
| 925 | END SUBROUTINE sisvat_gsn |
|---|
