[4013] | 1 | subroutine INLANDSIS(SnoMod,BloMod,jjtime,debut) |
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[3792] | 2 | |
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| 3 | USE dimphy |
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| 4 | |
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| 5 | !--------------------------------------------------------------------------+ |
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| 6 | ! INLANDSIS module | |
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| 7 | ! Simplified SISVAT module, containing ice and snow processes for | |
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| 8 | ! ice-covered surfaces | |
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| 9 | ! version MARv3, november 2020 | |
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| 10 | ! SubRoutine INLANDSIS contains the fortran 77 code of the | |
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| 11 | ! Soil/Ice Snow Vegetation Atmosphere Transfer Scheme | |
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| 12 | ! | |
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| 13 | !--------------------------------------------------------------------------+ |
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| 14 | ! PARAMETERS: klonv: Total Number of columns = | |
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| 15 | ! ^^^^^^^^^^ = Total Number of continental grid boxes | |
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| 16 | ! X Number of Mosaic Cell per grid box | |
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| 17 | ! | |
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| 18 | ! INPUT: daHost : Date Host Model | |
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| 19 | ! ^^^^^ | |
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| 20 | ! | |
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| 21 | ! INPUT: LSmask : 1: Land MASK | |
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| 22 | ! ^^^^^ 0: Sea MASK | |
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| 23 | ! isotSV = 0,...,12: Soil Type | |
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| 24 | ! 0: Water, Liquid (Sea, Lake) | |
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| 25 | ! 12: Water, Solid (Ice) | |
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| 26 | ! | |
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| 27 | ! INPUT: coszSV : Cosine of the Sun Zenithal Distance [-] | |
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| 28 | ! ^^^^^ sol_SV : Surface Downward Solar Radiation [W/m2] | |
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| 29 | ! IRd_SV : Surface Downward Longwave Radiation [W/m2] | |
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| 30 | ! drr_SV : Rain Intensity [kg/m2/s] | |
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| 31 | ! dsn_SV : Snow Intensity [mm w.e./s] | |
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| 32 | ! dsnbSV : Snow Intensity, Drift Fraction [-] | |
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| 33 | ! dbs_SV : Drift Amount [mm w.e.] | |
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| 34 | ! za__SV : Surface Boundary Layer (SBL) Height [m] | |
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| 35 | ! VV__SV :(SBL Top) Wind Velocity [m/s] | |
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| 36 | ! TaT_SV : SBL Top Temperature [K] | |
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| 37 | ! rhT_SV : SBL Top Air Density [kg/m3] | |
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| 38 | ! QaT_SV : SBL Top Specific Humidity [kg/kg] | |
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| 39 | ! qsnoSV : SBL Mean Snow Content [kg/kg] | |
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| 40 | ! alb0SV : Soil Basic Albedo [-] | |
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| 41 | ! slopSV : Surface Slope [-] | |
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| 42 | ! dt__SV : Time Step [s] | |
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| 43 | ! | |
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| 44 | ! INPUT / isnoSV = total Nb of Ice/Snow Layers | |
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| 45 | ! OUTPUT: ispiSV = 0,...,nsno: Uppermost Superimposed Ice Layer | |
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| 46 | ! ^^^^^^ iiceSV = total Nb of Ice Layers | |
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| 47 | ! istoSV = 0,...,5 : Snow History (see istdSV data) | |
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| 48 | ! | |
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| 49 | ! INPUT / alb_SV : Surface Albedo [-] | |
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| 50 | ! OUTPUT: emi_SV : Surface Emissivity [-] | |
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| 51 | ! ^^^^^^ IRs_SV : Soil IR Flux (negative) [W/m2] | |
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| 52 | ! LMO_SV : Monin-Obukhov Scale [m] | |
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| 53 | ! us__SV : Friction Velocity [m/s] | |
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| 54 | ! uts_SV : Temperature Turbulent Scale [m/s] | |
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| 55 | ! uqs_SV : Specific Humidity Velocity [m/s] | |
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| 56 | ! uss_SV : Blowing Snow Turbulent Scale [m/s] | |
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| 57 | ! usthSV : Blowing Snow Erosion Threshold [m/s] | |
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| 58 | ! Z0m_SV : Momentum Roughness Length [m] | |
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| 59 | ! Z0mmSV : Momentum Roughness Length (time mean) [m] | |
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| 60 | ! Z0mnSV : Momentum Roughness Length (instantaneous)[m] | |
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| 61 | ! Z0SaSV : Sastrugi Roughness Length [m] | |
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| 62 | ! Z0e_SV : Erosion Snow Roughness Length [m] | |
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| 63 | ! Z0emSV : Erosion Snow Roughness Length (time mean) [m] | |
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| 64 | ! Z0enSV : Erosion Snow Roughness Length (instantaneous)[m] | |
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| 65 | ! Z0roSV : Subgrid Topo Roughness Length [m] | |
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| 66 | ! Z0h_SV : Heat Roughness Length [m] | |
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| 67 | ! TsisSV : Soil/Ice Temperatures (layers -nsol,-nsol+1,..,0)| |
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| 68 | ! & Snow Temperatures (layers 1,2,...,nsno) [K] | |
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| 69 | ! ro__SV : Soil/Snow Volumic Mass [kg/m3] | |
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| 70 | ! eta_SV : Soil/Snow Water Content [m3/m3] | |
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| 71 | ! G1snSV : snow dendricity/sphericity | |
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| 72 | ! G2snSV : snow sphericity/grain size | |
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| 73 | ! dzsnSV : Snow Layer Thickness [m] | |
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| 74 | ! agsnSV : Snow Age [day] | |
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| 75 | ! BufsSV : Snow Buffer Layer [kg/m2] .OR. [mm] | |
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| 76 | ! BrosSV : Snow Buffer Layer Density [kg/m3] | |
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| 77 | ! BG1sSV : Snow Buffer Layer Dendricity / Sphericity [-] | |
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| 78 | ! BG2sSV : Snow Buffer Layer Sphericity / Size [-] [0.1 mm] | |
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| 79 | ! rusnSV : Surficial Water [kg/m2] .OR. [mm] | |
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| 80 | ! | |
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| 81 | ! OUTPUT: no__SV : OUTPUT file Unit Number [-] | |
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| 82 | ! ^^^^^^ i___SV : OUTPUT point i Coordinate [-] | |
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| 83 | ! j___SV : OUTPUT point j Coordinate [-] | |
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| 84 | ! n___SV : OUTPUT point n Coordinate [-] | |
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| 85 | ! lwriSV : OUTPUT point vec Index [-] | |
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| 86 | ! | |
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| 87 | ! OUTPUT: IRu_SV : Upward IR Flux (+, upw., effective) [K] | |
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| 88 | ! ^^^^^^ hSalSV : Saltating Layer Height [m] | |
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| 89 | ! qSalSV : Saltating Snow Concentration [kg/kg] | |
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| 90 | ! RnofSV : RunOFF Intensity [kg/m2/s] | |
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| 91 | ! | |
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| 92 | ! Internal Variables: | |
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| 93 | ! ^^^^^^^^^^^^^^^^^^ | |
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| 94 | ! NLaysv = New Snow Layer Switch [-] | |
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| 95 | ! albisv : Snow/Ice/Water/Soil Integrated Albedo [-] | |
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| 96 | ! SoSosv : Absorbed Solar Radiation by Surfac.(Normaliz)[-] | |
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| 97 | ! TBr_sv : Brightness Temperature [K] | |
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| 98 | ! IRupsv : Upward IR Flux (-, upw.) [W/m2] | |
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| 99 | ! ram_sv : Aerodynamic Resistance for Momentum [s/m] | |
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| 100 | ! rah_sv : Aerodynamic Resistance for Heat [s/m] | |
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| 101 | ! Evp_sv : Evaporation [kg/m2] | |
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| 102 | ! EvT_sv : Evapotranspiration [kg/m2] | |
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| 103 | ! HSs_sv : Surface Sensible Heat Flux + => absorb.[W/m2] | |
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| 104 | ! HLs_sv : Surface Latent Heat Flux + => absorb.[W/m2] | |
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| 105 | ! Lx_H2O : Latent Heat of Vaporization/Sublimation [J/kg] | |
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| 106 | ! Tsrfsv : Surface Temperature [K] | |
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| 107 | ! sEX_sv : Verticaly Integrated Extinction Coefficient [-] | |
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| 108 | ! LSdzsv : Vertical Discretization Factor [-] | |
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| 109 | ! = 1. Soil | |
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| 110 | ! = 1000. Ocean | |
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| 111 | ! z_snsv : Snow Pack Thickness [m] | |
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| 112 | ! zzsnsv : Snow Pack Thickness [m] | |
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| 113 | ! albssv : Soil Albedo [-] | |
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| 114 | ! Eso_sv : Soil+Snow Emissivity [-] | |
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| 115 | ! Khydsv : Soil Hydraulic Conductivity [m/s] | |
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| 116 | ! | |
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| 117 | ! ETSo_0 : Snow/Soil Energy Power, before Forcing [W/m2] | |
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| 118 | ! ETSo_1 : Snow/Soil Energy Power, after Forcing [W/m2] | |
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| 119 | ! ETSo_d : Snow/Soil Energy Power Forcing [W/m2] | |
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| 120 | ! EqSn_0 : Snow Energy, before Phase Change [J/m2] | |
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| 121 | ! EqSn_1 : Snow Energy, after Phase Change [J/m2] | |
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| 122 | ! EqSn_d : Snow Energy, net Forcing [J/m2] | |
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| 123 | ! Enrsvd : SVAT Energy Power Forcing [W/m2] | |
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| 124 | ! Enrbal : SVAT Energy Balance [W/m2] | |
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| 125 | ! Wats_0 : Soil Water, before Forcing [mm] | |
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| 126 | ! Wats_1 : Soil Water, after Forcing [mm] | |
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| 127 | ! Wats_d : Soil Water Forcing [mm] | |
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| 128 | ! SIWm_0 : Snow initial Mass [mm w.e.] | |
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| 129 | ! SIWm_1 : Snow final Mass [mm w.e.] | |
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| 130 | ! SIWa_i : Snow Atmos. initial Forcing [mm w.e.] | |
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| 131 | ! SIWa_f : Snow Atmos. final Forcing(noConsumed)[mm w.e.] | |
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| 132 | ! SIWe_i : SnowErosion initial Forcing [mm w.e.] | |
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| 133 | ! SIWe_f : SnowErosion final Forcing(noConsumed)[mm w.e.] | |
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| 134 | ! SIsubl : Snow sublimed/deposed Mass [mm w.e.] | |
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| 135 | ! SImelt : Snow Melted Mass [mm w.e.] | |
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| 136 | ! SIrnof : Surficial Water + Run OFF Change [mm w.e.] | |
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| 137 | ! SIvAcr : Sea-Ice vertical Acretion [mm w.e.] | |
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| 138 | ! Watsvd : SVAT Water Forcing [mm] | |
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| 139 | ! Watbal : SVAT Water Balance [W/m2] | |
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| 140 | ! | |
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| 141 | ! vk2 : Square of Von Karman Constant [-] | |
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| 142 | ! sqrCm0 : Factor of Neutral Drag Coeffic.Momentum [s/m] | |
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| 143 | ! sqrCh0 : Factor of Neutral Drag Coeffic.Heat [s/m] | |
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| 144 | ! EmiSol : Soil Emissivity [-] | |
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| 145 | ! EmiSno : Snow Emissivity [-] | |
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| 146 | ! EmiWat : Water Emissivity [-] | |
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| 147 | ! Z0mLnd : Land Roughness Length [m] | |
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| 148 | ! sqrrZ0 : u*t/u* | |
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| 149 | ! f_eff : Marticorena & B. 1995 JGR (20) | |
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| 150 | ! A_Fact : Fundamental * Roughness | |
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| 151 | ! Z0mBSn : BSnow Roughness Length [m] | |
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| 152 | ! Z0mBS0 : Mimimum BSnow Roughness Length (blown* ) [m] | |
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| 153 | ! Z0m_Sn : Snow Roughness Length (surface) [m] | |
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| 154 | ! Z0m_S0 : Mimimum Snow Roughness Length [m] | |
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| 155 | ! Z0m_S1 : Maximum Snow Roughness Length [m] | |
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| 156 | ! Z0_GIM : Minimum GIMEX Roughness Length [m] | |
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| 157 | ! Z0_ICE : Sea Ice ISW Roughness Length [m] | |
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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 | |
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| 168 | USE VARphy |
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| 169 | USE VAR_SV |
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| 170 | USE VARdSV |
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| 171 | USE VAR0SV |
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| 172 | USE VARxSV |
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| 173 | USE VARySV |
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| 174 | USE VARtSV |
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[4013] | 175 | USE surface_data, ONLY: is_ok_z0h_rn, |
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| 176 | . is_ok_density_kotlyakov, |
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| 177 | . prescribed_z0m_snow, |
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| 178 | . iflag_z0m_snow, |
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| 179 | . iflag_tsurf_inlandsis, |
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| 180 | . iflag_temp_inlandsis, |
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| 181 | . discret_xf, buf_sph_pol,buf_siz_pol |
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[3792] | 182 | |
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| 183 | IMPLICIT NONE |
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| 184 | |
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| 185 | logical SnoMod |
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| 186 | logical BloMod |
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[4013] | 187 | logical debut |
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[3792] | 188 | integer jjtime |
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| 189 | |
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| 190 | |
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| 191 | ! Internal Variables |
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| 192 | ! ================== |
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| 193 | |
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| 194 | ! Non Local |
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| 195 | ! --------- |
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| 196 | |
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| 197 | real TBr_sv(klonv) ! Brightness Temperature |
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| 198 | real IRdwsv(klonv) ! DOWNward IR Flux |
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| 199 | real IRupsv(klonv) ! UPward IR Flux |
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| 200 | real d_Bufs,Bufs_N ! Buffer Snow Layer Increment |
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| 201 | real Buf_ro,Bros_N ! Buffer Snow Layer Density |
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| 202 | real BufPro ! Buffer Snow Layer Density |
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| 203 | real Buf_G1,BG1__N ! Buffer Snow Layer Dendr/Sphe[-] |
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| 204 | real Buf_G2,BG2__N ! Buffer Snow Layer Spher/Size[-] |
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| 205 | real Bdzssv(klonv) ! Buffer Snow Layer Thickness |
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| 206 | real z_snsv(klonv) ! Snow-Ice, current Thickness |
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| 207 | |
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| 208 | |
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| 209 | |
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| 210 | ! Local |
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| 211 | ! ----- |
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| 212 | |
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| 213 | integer iwr |
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| 214 | integer ikl ,isn ,isl ,ist ! |
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| 215 | integer ist__s,ist__w ! Soil/Water Body Identifier |
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| 216 | integer growth ! Seasonal Mask |
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| 217 | integer LISmsk ! Land+Ice / Open Sea Mask |
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| 218 | integer LSnMsk ! Snow-Ice / No Snow-Ice Mask |
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| 219 | integer IceMsk,IcIndx(klonv) ! Ice / No Ice Mask |
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| 220 | integer SnoMsk ! Snow / No Snow Mask |
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| 221 | real roSMin,roSMax,roSn_1,roSn_2,roSn_3 ! Fallen Snow Density (PAHAUT) |
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| 222 | real Dendr1,Dendr2,Dendr3 ! Fallen Snow Dendric.(GIRAUD) |
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| 223 | real Spher1,Spher2,Spher3,Spher4 ! Fallen Snow Spheric.(GIRAUD) |
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| 224 | real Polair ! Polar Snow Switch |
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[4013] | 225 | real PorSno,Salt_f,PorRef ! |
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[3792] | 226 | c #sw real PorVol,rWater ! |
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| 227 | c #sw real rusNEW,rdzNEW,etaNEW ! |
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| 228 | real ro_new ! |
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| 229 | real TaPole ! Maximum Polar Temperature |
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| 230 | real T__Min ! Minimum realistic Temperature |
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| 231 | real EmiSol ! Emissivity of Soil |
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| 232 | real EmiSno ! Emissivity of Snow |
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| 233 | real EmiWat ! Emissivity of a Water Area |
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| 234 | real vk2 ! Square of Von Karman Constant |
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| 235 | real u2star !(u*)**2 |
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| 236 | real Z0mLnd ! Land Roughness Length |
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| 237 | c #ZN real sqrrZ0 ! u*t/u* |
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| 238 | real f_eff ! Marticorena & B. 1995 JGR (20) |
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| 239 | real A_Fact ! Fundamental * Roughness |
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| 240 | real Z0m_nu ! Smooth R Snow Roughness Length |
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| 241 | real Z0mBSn ! BSnow Roughness Length |
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| 242 | real Z0mBS0 ! Mimimum BSnow Roughness Length |
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| 243 | real Z0m_S0 ! Mimimum Snow Roughness Length |
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| 244 | real Z0m_S1 ! Maximum Snow Roughness Length |
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| 245 | c #SZ real Z0Sa_N ! Regime Snow Roughness Length |
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| 246 | c #SZ real Z0SaSi ! 1.IF Rgm Snow Roughness Length |
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| 247 | c #GL real Z0_GIM ! Mimimum GIMEX Roughness Length |
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| 248 | real Z0_ICE ! Ice ISW Roughness Length |
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| 249 | real Z0m_Sn,Z0m_90 ! Snow Surface Roughness Length |
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| 250 | real SnoWat ! Snow Layer Switch |
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[4013] | 251 | real rstar,alors ! |
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| 252 | real rstar0,rstar1,rstar2 ! |
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[3792] | 253 | real SameOK ! 1. => Same Type of Grains |
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| 254 | real G1same ! Averaged G1, same Grains |
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| 255 | real G2same ! Averaged G2, same Grains |
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| 256 | real typ__1 ! 1. => Lay1 Type: Dendritic |
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| 257 | real zroNEW ! dz X ro, if fresh Snow |
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| 258 | real G1_NEW ! G1, if fresh Snow |
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| 259 | real G2_NEW ! G2, if fresh Snow |
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| 260 | real zroOLD ! dz X ro, if old Snow |
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| 261 | real G1_OLD ! G1, if old Snow |
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| 262 | real G2_OLD ! G2, if old Snow |
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| 263 | real SizNEW ! Size, if fresh Snow |
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| 264 | real SphNEW ! Spheric.,if fresh Snow |
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| 265 | real SizOLD ! Size, if old Snow |
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| 266 | real SphOLD ! Spheric.,if old Snow |
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| 267 | real Siz_av ! Averaged Grain Size |
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| 268 | real Sph_av ! Averaged Grain Spher. |
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| 269 | real Den_av ! Averaged Grain Dendr. |
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| 270 | real G1diff ! Averaged G1, diff. Grains |
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| 271 | real G2diff ! Averaged G2, diff. Grains |
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| 272 | real G1 ! Averaged G1 |
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| 273 | real G2 ! Averaged G2 |
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| 274 | real param ! Polynomial fit z0=f(T) |
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| 275 | real Z0_obs ! Fit Z0_obs=f(T) (m) |
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| 276 | real tamin ! min T of linear fit (K) |
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| 277 | real tamax ! max T of linear fit (K) |
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| 278 | real coefa,coefb,coefc,coefd ! Coefs for z0=f(T) |
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| 279 | real ta1,ta2,ta3 ! Air temperature thresholds |
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| 280 | real z01,z02,z03 ! z0 thresholds |
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| 281 | real tt_c,vv_c ! Critical param. |
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| 282 | real tt_tmp,vv_tmp,vv_virt ! Temporary variables |
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| 283 | real e_prad,e1pRad,A_Rad0,absg_V,absgnI,exdRad ! variables for SoSosv calculations |
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| 284 | real zm1, zm2, coefslope ! variables for surface temperature extrapolation |
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[4013] | 285 | ! for Aeolian erosion and blowing snow |
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| 286 | integer nit ,iit |
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| 287 | real Fac ! Correc. factor for drift ratio |
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| 288 | real dusuth,signus |
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| 289 | real sss__F,sss__N |
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| 290 | real sss__K,sss__G |
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| 291 | real us_127,us_227,us_327,us_427,us_527 |
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| 292 | real VVa_OK, usuth0 |
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| 293 | real ssstar |
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| 294 | real SblPom |
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| 295 | real rCd10n ! Square root of drag coefficient |
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| 296 | real DendOK ! Dendricity Switch |
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| 297 | real SaltOK ! Saltation Switch |
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| 298 | real MeltOK ! Saltation Switch (Melting Snow) |
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| 299 | real SnowOK ! Pack Top Switch |
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| 300 | real SaltM1,SaltM2,SaltMo,SaltMx ! Saltation Parameters |
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| 301 | real ShearX, ShearS ! Arg. Max Shear Stress |
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| 302 | real Por_BS ! Snow Porosity |
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| 303 | real Salt_us ! New thresh.friction velocity u*t |
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| 304 | real Fac_Mo,ArguSi,FacRho ! Numerical factors for u*t |
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| 305 | real SaltSI(klonv,0:nsno) ! Snow Drift Index ! |
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| 306 | real MIN_Mo ! Minimum Mobility Fresh Fallen * |
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| 307 | character*3 qsalt_param ! Switch for saltation flux param. |
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| 308 | character*3 usth_param ! Switch for u*t param |
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[3792] | 309 | |
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| 310 | |
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| 311 | ! Internal DATA |
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| 312 | ! ============= |
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| 313 | |
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| 314 | data T__Min / 200.00/ ! Minimum realistic Temperature |
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[4013] | 315 | data TaPole / 268.15/ ! Maximum Polar Temperature (value from C. Agosta) |
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| 316 | data roSMin / 300. / ! Minimum Snow Density |
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[3792] | 317 | data roSMax / 400. / ! Max Fresh Snow Density |
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| 318 | data tt_c / -2.0 / ! Critical Temp. (degC) |
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| 319 | data vv_c / 14.3 / ! Critical Wind speed (m/s) |
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| 320 | data roSn_1 / 109. / ! Fall.Sno.Density, Indep. Param. |
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| 321 | data roSn_2 / 6. / ! Fall.Sno.Density, Temper.Param. |
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| 322 | data roSn_3 / 26. / ! Fall.Sno.Density, Wind Param. |
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| 323 | data Dendr1 / 17.12/ ! Fall.Sno.Dendric.,Wind 1/Param. |
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| 324 | data Dendr2 / 128. / ! Fall.Sno.Dendric.,Wind 2/Param. |
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| 325 | data Dendr3 / -20. / ! Fall.Sno.Dendric.,Indep. Param. |
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| 326 | data Spher1 / 7.87/ ! Fall.Sno.Spheric.,Wind 1/Param. |
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| 327 | data Spher2 / 38. / ! Fall.Sno.Spheric.,Wind 2/Param. |
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| 328 | data Spher3 / 50. / ! Fall.Sno.Spheric.,Wind 3/Param. |
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| 329 | data Spher4 / 90. / ! Fall.Sno.Spheric.,Indep. Param. |
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| 330 | data EmiSol / 0.99999999/ ! 0.94Emissivity of Soil |
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| 331 | data EmiWat / 0.99999999/ ! Emissivity of a Water Area |
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| 332 | data EmiSno / 0.99999999/ ! Emissivity of Snow |
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[4013] | 333 | |
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[3792] | 334 | |
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| 335 | ! DATA Emissivities ! Pielke, 1984, pp. 383,409 |
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| 336 | |
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| 337 | data Z0mBS0 / 0.5e-6/ ! MINimum Snow Roughness Length |
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| 338 | ! for Momentum if Blowing Snow |
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| 339 | ! Gallee et al. 2001 BLM 99 (19) |
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| 340 | data Z0m_S0/ 0.00005/ ! MINimum Snow Roughness Length |
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| 341 | ! MegaDunes included |
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| 342 | data Z0m_S1/ 0.030 / ! MAXimum Snow Roughness Length |
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| 343 | ! (Sastrugis) |
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| 344 | c #GL data Z0_GIM/ 0.0013/ ! Ice Min Z0 = 0.0013 m (Broeke) |
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| 345 | ! ! Old Ice Z0 = 0.0500 m (Bruce) |
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| 346 | ! ! 0.0500 m (Smeets) |
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| 347 | ! ! 0.1200 m (Broeke) |
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| 348 | data Z0_ICE/ 0.0010/ ! Sea-Ice Z0 = 0.0010 m (Andreas) |
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| 349 | ! ! (Ice Station Weddel -- ISW) |
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[4013] | 350 | ! for aerolian erosion |
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| 351 | data SblPom/ 1.27/ ! Lower Boundary Height Parameter |
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| 352 | C + ! for Suspension |
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| 353 | C + ! Pommeroy, Gray and Landine 1993, |
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| 354 | C + ! J. Hydrology, 144(8) p.169 |
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| 355 | data nit / 5 / ! us(is0,uth) recursivity: Nb Iterations |
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| 356 | cc#AE data qsalt_param/"bin"/ ! saltation part. conc. from Bintanja 2001 (p |
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| 357 | data qsalt_param/"pom"/ ! saltation part. conc. from Pomeroy and Gray |
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| 358 | cc#AE data usth_param/"lis"/ ! u*t from Liston et al. 2007 |
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| 359 | data usth_param/"gal"/ ! u*t from Gallee et al. 2001 |
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| 360 | data SaltMx/-5.83e-2/ |
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| 361 | |
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[3792] | 362 | vk2 = vonKrm * vonKrm ! Square of Von Karman Constant |
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| 363 | |
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| 364 | |
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| 365 | ! BEGIN.main. |
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| 366 | ! =========================== |
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| 367 | |
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| 368 | |
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| 369 | |
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| 370 | |
---|
| 371 | ! "Soil" Humidity of Water Bodies |
---|
| 372 | ! =============================== |
---|
| 373 | |
---|
| 374 | DO ikl=1,knonv |
---|
| 375 | |
---|
| 376 | ist = isotSV(ikl) ! Soil Type |
---|
| 377 | ist__s = min(ist, 1) ! 1 => Soil |
---|
| 378 | ist__w = 1 - ist__s ! 1 => Water Body |
---|
| 379 | DO isl=-nsol,0 |
---|
| 380 | eta_SV(ikl,isl) = eta_SV(ikl,isl) * ist__s ! Soil |
---|
| 381 | . + etadSV(ist) * ist__w ! Water Body |
---|
| 382 | END DO |
---|
| 383 | |
---|
| 384 | |
---|
| 385 | ! Vertical Discretization Factor |
---|
| 386 | ! ============================== |
---|
| 387 | |
---|
| 388 | LSdzsv(ikl) = ist__s ! Soil |
---|
| 389 | . + OcndSV * ist__w ! Water Body |
---|
| 390 | END DO |
---|
| 391 | |
---|
| 392 | |
---|
| 393 | |
---|
| 394 | |
---|
| 395 | |
---|
[4013] | 396 | IF (SnoMod) THEN |
---|
[3792] | 397 | |
---|
[4013] | 398 | |
---|
| 399 | C +--Aeolian erosion and Blowing Snow |
---|
| 400 | C +================================== |
---|
[3792] | 401 | |
---|
| 402 | |
---|
| 403 | |
---|
[4013] | 404 | DO ikl=1,knonv |
---|
| 405 | usthSV(ikl) = 1.0e+2 |
---|
| 406 | END DO |
---|
[3792] | 407 | |
---|
[4013] | 408 | |
---|
| 409 | IF (BloMod) THEN |
---|
[3792] | 410 | |
---|
[4013] | 411 | if (klonv.eq.1) then |
---|
[3792] | 412 | if(isnoSV(1).ge.2 .and. |
---|
[4013] | 413 | . TsisSV(1,max(1,isnoSV(1)))<273. .and. |
---|
| 414 | . ro__SV(1,max(1,isnoSV(1)))<500. .and. |
---|
| 415 | . eta_SV(1,max(1,isnoSV(1)))<epsi) then |
---|
[3792] | 416 | C + ********** |
---|
| 417 | call SISVAT_BSn |
---|
| 418 | endif |
---|
| 419 | else |
---|
| 420 | call SISVAT_BSn |
---|
| 421 | C + ********** |
---|
[4013] | 422 | endif |
---|
| 423 | |
---|
| 424 | |
---|
| 425 | |
---|
| 426 | |
---|
| 427 | |
---|
| 428 | |
---|
| 429 | |
---|
| 430 | ! Calculate threshold erosion velocity for next time step |
---|
| 431 | ! Unlike in sisvat, computation is of threshold velocity made here (instead of sisvaesbl) |
---|
| 432 | ! since we do not use sisvatesbl for the coupling with LMDZ |
---|
| 433 | |
---|
| 434 | C +--Computation of threshold friction velocity for snow erosion |
---|
| 435 | C --------------------------------------------------------------- |
---|
| 436 | |
---|
| 437 | rCd10n = 1. / 26.5 ! Vt / u*t = 26.5 |
---|
| 438 | ! Budd et al. 1965, Antarct. Res. Series Fig.13 |
---|
| 439 | ! ratio developped during assumed neutral conditions |
---|
[3792] | 440 | |
---|
| 441 | |
---|
[4013] | 442 | C +--Snow Properties |
---|
| 443 | C + ~~~~~~~~~~~~~~~ |
---|
[3792] | 444 | |
---|
[4013] | 445 | DO ikl = 1,knonv |
---|
| 446 | |
---|
| 447 | isn = isnoSV(ikl) |
---|
| 448 | |
---|
| 449 | |
---|
| 450 | |
---|
| 451 | DendOK = max(zero,sign(unun,epsi-G1snSV(ikl,isn) )) ! |
---|
| 452 | SaltOK = min(1 , max(istdSV(2)-istoSV(ikl,isn),0)) ! |
---|
| 453 | MeltOK = (unun ! |
---|
| 454 | . -max(zero,sign(unun,TfSnow-epsi ! |
---|
| 455 | . -TsisSV(ikl,isn) ))) ! Melting Snow |
---|
| 456 | . * min(unun,DendOK ! |
---|
| 457 | . +(1.-DendOK) ! |
---|
| 458 | . *sign(unun, G2snSV(ikl,isn)-1.0)) ! 1.0 for 1mm |
---|
| 459 | SnowOK = min(1 , max(isnoSV(ikl) +1 -isn ,0)) ! Snow Switch |
---|
| 460 | |
---|
| 461 | G1snSV(ikl,isn) = SnowOK * G1snSV(ikl,isn) |
---|
| 462 | . + (1.- SnowOK)*min(G1snSV(ikl,isn),G1_dSV) |
---|
| 463 | G2snSV(ikl,isn) = SnowOK * G2snSV(ikl,isn) |
---|
| 464 | . + (1.- SnowOK)*min(G2snSV(ikl,isn),G1_dSV) |
---|
| 465 | |
---|
| 466 | SaltOK = min(unun, SaltOK + MeltOK) * SnowOK |
---|
| 467 | |
---|
| 468 | |
---|
| 469 | C +--Mobility Index (Guyomarc'h & Merindol 1997, Ann.Glaciol.) |
---|
| 470 | C + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
---|
| 471 | SaltM1 = -0.750e-2 * G1snSV(ikl,isn) |
---|
| 472 | . -0.500e-2 * G2snSV(ikl,isn)+ 0.500e00 !dendritic case |
---|
| 473 | C + CAUTION: Guyomarc'h & Merindol Dendricity Sign is + |
---|
| 474 | C + ^^^^^^^^ MAR Dendricity Sign is - |
---|
| 475 | SaltM2 = -0.833d-2 * G1snSV(ikl,isn) |
---|
| 476 | . -0.583d-2 * G2snSV(ikl,isn)+ 0.833d00 !non-dendritic case |
---|
| 477 | |
---|
| 478 | c SaltMo = (DendOK * SaltM1 + (1.-DendOK) * SaltM2 ) |
---|
| 479 | SaltMo = 0.625 !SaltMo pour d=s=0.5 |
---|
| 480 | |
---|
| 481 | !weighting SaltMo with surface snow density (Vionnet et al. 2012) |
---|
| 482 | cc#AE FacRho = 1.25 - 0.0042 * ro__SV(ikl,isn) |
---|
| 483 | cc#AE SaltMo = 0.34 * SaltMo + 0.66 * FacRho !needed for polar snow |
---|
| 484 | MIN_Mo = 0. |
---|
| 485 | c SaltMo = max(SaltMo,MIN_Mo) |
---|
| 486 | c SaltMo = SaltOK * SaltMo + (1.-SaltOK) * min(SaltMo,SaltMx) |
---|
| 487 | c #TUNE SaltMo = SaltOK * SaltMo - (1.-SaltOK) * 0.9500 |
---|
| 488 | SaltMo = max(SaltMo,epsi-unun) |
---|
| 489 | |
---|
| 490 | C +--Influence of Density on Threshold Shear Stress |
---|
| 491 | C + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
---|
| 492 | Por_BS = 1. - 300. / ro_Ice |
---|
| 493 | ShearS = Por_BS / (1.-Por_BS) |
---|
| 494 | C +... SheaBS = Arg(sqrt(shear = max shear stress in snow)): |
---|
| 495 | C + shear = 3.420d00 * exp(-(Por_BS +Por_BS) |
---|
| 496 | C + . /(unun -Por_BS)) |
---|
| 497 | C + SheaBS : see de Montmollin (1978), |
---|
| 498 | C + These Univ. Sci. Medic. Grenoble, Fig. 1 p. 124 |
---|
| 499 | |
---|
| 500 | C +--Snow Drift Index (Guyomarc'h & Merindol 1997, Ann.Glaciol.) |
---|
| 501 | C + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
---|
| 502 | ArguSi = -0.085 *us__SV(ikl)/rCd10n |
---|
| 503 | !V=u*/sqrt(CD) eqs 2 to 4 Gallee et al. 2001 |
---|
| 504 | |
---|
| 505 | SaltSI(ikl,isn) = -2.868 * exp(ArguSi) + 1 + SaltMo |
---|
| 506 | |
---|
| 507 | |
---|
| 508 | C +--Threshold Friction Velocity |
---|
| 509 | C + ~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
---|
| 510 | if(ro__SV(ikl,isn)>300.) then |
---|
| 511 | Por_BS = 1.000 - ro__SV(ikl,isn) /ro_Ice |
---|
| 512 | else |
---|
| 513 | Por_BS = 1.000 - 300. /ro_Ice |
---|
| 514 | endif |
---|
| 515 | |
---|
| 516 | ShearX = Por_BS/max(epsi,1.-Por_BS) |
---|
| 517 | Fac_Mo = exp(-ShearX+ShearS) |
---|
| 518 | C + Gallee et al., 2001 eq 5, p5 |
---|
| 519 | |
---|
| 520 | if (usth_param .eq. "gal") then |
---|
| 521 | Salt_us = (log(2.868) - log(1 + SaltMo)) * rCd10n/0.085 |
---|
| 522 | Salt_us = Salt_us * Fac_Mo |
---|
| 523 | C +... Salt_us : Extension of Guyomarc'h & Merindol 1998 with |
---|
| 524 | C +... de Montmollin (1978). Gallee et al. 2001 |
---|
| 525 | endif |
---|
| 526 | |
---|
| 527 | if (usth_param .eq. "lis") then !Liston et al. 2007 |
---|
| 528 | if(ro__SV(ikl,isn)>300.) then |
---|
| 529 | Salt_us = 0.005*exp(0.013*ro__SV(ikl,isn)) |
---|
| 530 | else |
---|
| 531 | Salt_us = 0.01*exp(0.003*ro__SV(ikl,isn)) |
---|
| 532 | endif |
---|
| 533 | endif |
---|
| 534 | |
---|
| 535 | SnowOK = 1 -min(1,iabs(isn-isnoSV(ikl))) !Switch new vs old snow |
---|
| 536 | |
---|
| 537 | usthSV(ikl) = SnowOK * (Salt_us) |
---|
| 538 | . + (1.-SnowOK)* usthSV(ikl) |
---|
| 539 | |
---|
| 540 | END DO |
---|
| 541 | |
---|
| 542 | |
---|
| 543 | |
---|
| 544 | ! Feeback between blowing snow turbulent Scale u* (commented here |
---|
| 545 | ! since ustar is an input variable (not in/out) of inlandsis) |
---|
| 546 | ! ----------------------------------------------------------------- |
---|
| 547 | |
---|
| 548 | |
---|
| 549 | ! VVa_OK = max(0.000001, VVaSBL(ikl)) |
---|
| 550 | ! sss__N = vonkar * VVa_OK |
---|
| 551 | ! sss__F = (sqrCm0(ikl) - psim_z + psim_0) |
---|
| 552 | ! usuth0 = sss__N /sss__F ! u* if NO Blow. Snow |
---|
| 553 | |
---|
| 554 | ! sss__G = 0.27417 * gravit |
---|
| 555 | |
---|
| 556 | ! ! ______________ _____ |
---|
| 557 | ! ! Newton-Raphson (! Iteration, BEGIN) |
---|
| 558 | ! ! ~~~~~~~~~~~~~~ ~~~~~ |
---|
| 559 | ! DO iit=1,nit |
---|
| 560 | ! sss__K = gravit * r_Turb * A_Turb *za__SV(ikl) |
---|
| 561 | ! . *rCDmSV(ikl)*rCDmSV(ikl) |
---|
| 562 | ! . /(1.+0.608*QaT_SV(ikl)-qsnoSV(ikl)) |
---|
| 563 | ! us_127 = exp( SblPom *log(us__SV(ikl))) |
---|
| 564 | ! us_227 = us_127 * us__SV(ikl) |
---|
| 565 | ! us_327 = us_227 * us__SV(ikl) |
---|
| 566 | ! us_427 = us_327 * us__SV(ikl) |
---|
| 567 | ! us_527 = us_427 * us__SV(ikl) |
---|
| 568 | |
---|
| 569 | ! us__SV(ikl) = us__SV(ikl) |
---|
| 570 | ! . - ( us_527 *sss__F /sss__N |
---|
| 571 | ! . - us_427 |
---|
| 572 | ! . - us_227 *qsnoSV(ikl)*sss__K |
---|
| 573 | ! . + (us__SV(ikl)*us__SV(ikl)-usthSV(ikl)*usthSV(ikl))/sss__G) |
---|
| 574 | ! . /( us_427*5.27*sss__F /sss__N |
---|
| 575 | ! . - us_327*4.27 |
---|
| 576 | ! . - us_127*2.27*qsnoSV(ikl)*sss__K |
---|
| 577 | ! . + us__SV(ikl)*2.0 /sss__G) |
---|
| 578 | |
---|
| 579 | ! us__SV(ikl)= min(us__SV(ikl),usuth0) |
---|
| 580 | ! us__SV(ikl)= max(us__SV(ikl),epsi ) |
---|
| 581 | ! rCDmSV(ikl)= us__SV(ikl)/VVa_OK |
---|
| 582 | ! ! #AE sss__F = vonkar /rCDmSV(ikl) |
---|
| 583 | ! ENDDO |
---|
| 584 | |
---|
| 585 | ! ! ______________ ___ |
---|
| 586 | ! ! Newton-Raphson (! Iteration, END ) |
---|
| 587 | ! ! ~~~~~~~~~~~~~~ ~~~ |
---|
| 588 | |
---|
| 589 | ! us_127 = exp( SblPom *log(us__SV(ikl))) |
---|
| 590 | ! us_227 = us_127 * us__SV(ikl) |
---|
| 591 | |
---|
| 592 | ! ! Momentum Turbulent Scale u*: 0-Limit in case of no Blow. Snow |
---|
| 593 | ! ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
---|
| 594 | ! dusuth = us__SV(ikl) - usthSV(ikl) ! u* - uth* |
---|
| 595 | ! signus = max(sign(unun,dusuth),zero) ! 1 <=> u* - uth* > 0 |
---|
| 596 | ! us__SV(ikl) = ! |
---|
| 597 | ! . us__SV(ikl) *signus + ! u* (_BS) |
---|
| 598 | ! . usuth0 ! u* (nBS) |
---|
| 599 | ! . *(1.-signus) ! |
---|
| 600 | |
---|
| 601 | |
---|
| 602 | |
---|
| 603 | |
---|
| 604 | ! Blowing Snow Turbulent Scale ss* |
---|
| 605 | ! --------------------------------------- |
---|
| 606 | |
---|
| 607 | hSalSV(ikl) = 8.436e-2 * us__SV(ikl)**SblPom |
---|
| 608 | |
---|
| 609 | if (qsalt_param .eq. "pom") then |
---|
| 610 | qSalSV(ikl) = (us__SV(ikl)**2 - usthSV(ikl)**2) *signus |
---|
| 611 | . / (hSalSV(ikl) * gravit * us__SV(ikl) * 3.25) |
---|
| 612 | endif |
---|
| 613 | |
---|
| 614 | if (qsalt_param .eq. "bin") then |
---|
| 615 | qSalSV(ikl) = (us__SV(ikl) * us__SV(ikl) |
---|
| 616 | . -usthSV(ikl) * usthSV(ikl))*signus |
---|
| 617 | . * 0.535 / (hSalSV(ikl) * gravit) |
---|
| 618 | endif |
---|
| 619 | |
---|
| 620 | qSalSV(ikl) = qSalSV(ikl)/rht_SV(ikl) ! conversion kg/m3 to kg/kg |
---|
| 621 | |
---|
| 622 | ssstar = rCDmSV(ikl) * (qsnoSV(ikl) - qSalSV(ikl)) |
---|
| 623 | . * r_Turb !Bintanja 2000, BLM |
---|
| 624 | !r_Turb compensates for an overestim. of the blown snow part. fall velocity |
---|
| 625 | |
---|
| 626 | uss_SV(ikl) = min(zero , us__SV(ikl) *ssstar) |
---|
| 627 | uss_SV(ikl) = max(-0.0001 , uss_SV(ikl)) |
---|
| 628 | |
---|
| 629 | |
---|
| 630 | |
---|
| 631 | |
---|
| 632 | ENDIF ! BloMod |
---|
| 633 | |
---|
| 634 | C + ------------------------------------------------------ |
---|
[3792] | 635 | C +--Buffer Layer |
---|
[4013] | 636 | C + ----------------------------------------------------- |
---|
[3792] | 637 | |
---|
| 638 | DO ikl=1,knonv |
---|
| 639 | c BufsSV(ikl) [mm w.e.] i.e, i.e., [kg/m2] |
---|
| 640 | d_Bufs = max(dsn_SV(ikl) *dt__SV,0.) ! |
---|
| 641 | dsn_SV(ikl) = 0. ! |
---|
| 642 | Bufs_N = BufsSV(ikl) +d_Bufs ! |
---|
| 643 | |
---|
| 644 | |
---|
| 645 | C +--Snow Density |
---|
| 646 | C + ^^^^^^^^^^^^ |
---|
| 647 | Polair = zero |
---|
| 648 | c #NP Polair = max(zero, ! |
---|
| 649 | c #NP. sign(unun,TaPole ! |
---|
| 650 | c #NP. -TaT_SV(ikl))) ! |
---|
| 651 | Polair = max(zero, ! |
---|
| 652 | . sign(unun,TaPole ! |
---|
| 653 | . -TaT_SV(ikl))) ! |
---|
| 654 | Buf_ro = max( rosMin, ! Fallen Snow Density |
---|
| 655 | . roSn_1+roSn_2* (TaT_SV(ikl)-TfSnow) ! [kg/m3] |
---|
| 656 | . +roSn_3*sqrt( VV__SV(ikl))) ! Pahaut (CEN), Etienne: use wind speed at first model level instead of 10m wind |
---|
| 657 | c #NP BufPro = max( rosMin, ! Fallen Snow Density |
---|
| 658 | c #NP. 104. *sqrt( max( VV10SV(ikl)-6.0,0.0))) ! Kotlyakov (1961) |
---|
| 659 | |
---|
[4013] | 660 | ! C.Agosta option for snow density, same as for BS i.e. |
---|
| 661 | ! is_ok_density_kotlyakov=.false. |
---|
[3792] | 662 | c #BS density_kotlyakov = .false. !C.Amory BS 2018 |
---|
| 663 | C + ... Fallen Snow Density, Adapted for Antarctica |
---|
[4013] | 664 | if (is_ok_density_kotlyakov) then |
---|
[3792] | 665 | tt_tmp = TaT_SV(ikl)-TfSnow |
---|
| 666 | !vv_tmp = VV10SV(ikl) |
---|
| 667 | vv_tmp=VV__SV(ikl) ! Etienne: use wind speed at first model level instead of 10m wind |
---|
| 668 | C + ... [ A compromise between |
---|
| 669 | C + ... Kotlyakov (1961) and Lenaerts (2012, JGR, Part1) ] |
---|
| 670 | if (tt_tmp.ge.-10) then |
---|
| 671 | BufPro = max( rosMin, |
---|
| 672 | . 104. *sqrt( max( vv_tmp-6.0,0.0))) ! Kotlyakov (1961) |
---|
| 673 | else |
---|
| 674 | vv_virt = (tt_c*vv_tmp+vv_c*(tt_tmp+10)) |
---|
| 675 | . /(tt_c+tt_tmp+10) |
---|
| 676 | BufPro = 104. *sqrt( max( vv_virt-6.0,0.0)) |
---|
| 677 | endif |
---|
| 678 | else |
---|
| 679 | C + ... [ density derived from observations of the first 50cm of |
---|
| 680 | C + ... snow - cf. Rajashree Datta - and multiplied by 0.8 ] |
---|
| 681 | C + ... C. Agosta, 2016-09 |
---|
| 682 | cc #SD BufPro = 149.2 + 6.84*VV10SV(ikl) + 0.48*Tsrfsv(ikl) |
---|
| 683 | cc #SD BufPro = 125 + 14*VV10SV(ikl) + 0.6*Tsrfsv(ikl) !MAJ CK and CAm |
---|
| 684 | ! BufPro = 200 + 21 * VV10SV(ikl)!CK 29/07/19 |
---|
| 685 | BufPro = 200 + 21 * VV__SV(ikl)!Etienne: use wind speed at first model level instead of 10m wind |
---|
| 686 | endif |
---|
| 687 | |
---|
| 688 | Bros_N = (1. - Polair) * Buf_ro ! Temperate Snow |
---|
| 689 | . + Polair * BufPro ! Polar Snow |
---|
| 690 | |
---|
| 691 | Bros_N = max( 20.,max(rosMin, Bros_N)) |
---|
| 692 | Bros_N = min(400.,min(rosMax-1,Bros_N)) ! for dz_min in SISVAT_zSn |
---|
| 693 | |
---|
| 694 | |
---|
| 695 | ! Density of deposited blown snow |
---|
| 696 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
---|
| 697 | |
---|
[4013] | 698 | if (BloMod) then |
---|
| 699 | Bros_N = frsno |
---|
| 700 | ro_new = ro__SV(ikl,max(1,isnoSV(ikl))) |
---|
| 701 | ro_new = max(Bros_N,min(roBdSV,ro_new)) |
---|
| 702 | Fac = 1-((ro__SV(ikl,max(1,isnoSV(ikl))) |
---|
| 703 | . -roBdSV)/(500.-roBdSV)) |
---|
| 704 | Fac = max(0.,min(1.,Fac)) |
---|
| 705 | dsnbSV(ikl) = Fac*dsnbSV(ikl) |
---|
| 706 | Bros_N = Bros_N * (1.0-dsnbSV(ikl)) |
---|
| 707 | . + ro_new * dsnbSV(ikl) |
---|
| 708 | endif |
---|
[3792] | 709 | |
---|
| 710 | |
---|
| 711 | ! Time averaged Density of deposited blown Snow |
---|
| 712 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
---|
| 713 | |
---|
| 714 | BrosSV(ikl) =(Bros_N * d_Bufs ! |
---|
| 715 | . +BrosSV(ikl)* BufsSV(ikl))! |
---|
| 716 | . / max(epsi,Bufs_N) ! |
---|
| 717 | |
---|
| 718 | |
---|
| 719 | C +-- S.Falling Snow Properties (computed as in SISVAT_zAg) |
---|
| 720 | C + ^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 721 | Buf_G1 = max(-G1_dSV, ! Temperate Snow |
---|
| 722 | . min(Dendr1*VV__SV(ikl)-Dendr2, ! Dendricity |
---|
| 723 | . Dendr3 )) ! |
---|
| 724 | Buf_G2 = min( Spher4, ! Temperate Snow |
---|
| 725 | . max(Spher1*VV__SV(ikl)+Spher2, ! Sphericity |
---|
| 726 | . Spher3 )) ! |
---|
[4013] | 727 | ! EV: now control buf_sph_pol and bug_siz_pol in physiq.def |
---|
[3792] | 728 | Buf_G1 = (1. - Polair) * Buf_G1 ! Temperate Snow |
---|
[4013] | 729 | . + Polair * buf_sph_pol ! Polar Snow |
---|
[3792] | 730 | Buf_G2 = (1. - Polair) * Buf_G2 ! Temperate Snow |
---|
[4013] | 731 | . + Polair * buf_siz_pol ! Polar Snow |
---|
[3792] | 732 | G1 = Buf_G1 ! NO Blown Snow |
---|
| 733 | G2 = Buf_G2 ! NO Blown Snow |
---|
| 734 | |
---|
[4013] | 735 | |
---|
| 736 | |
---|
| 737 | IF (BloMod) THEN |
---|
| 738 | |
---|
[3792] | 739 | ! S.1. Meme Type de Neige / same Grain Type |
---|
| 740 | ! ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
[4013] | 741 | |
---|
| 742 | SameOK = max(zero, |
---|
| 743 | . sign(unun, Buf_G1 *G1_dSV |
---|
| 744 | . - eps_21 )) |
---|
| 745 | G1same = ((1.0-dsnbSV(ikl))*Buf_G1+dsnbSV(ikl) *G1_dSV) |
---|
| 746 | G2same = ((1.0-dsnbSV(ikl))*Buf_G2+dsnbSV(ikl) *ADSdSV) |
---|
[3792] | 747 | ! Blowing Snow Properties: G1_dSV, ADSdSV |
---|
| 748 | |
---|
| 749 | ! S.2. Types differents / differents Types |
---|
| 750 | ! ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
[4013] | 751 | typ__1 = max(zero,sign(unun,epsi-Buf_G1)) ! =1.=> Dendritic |
---|
| 752 | zroNEW = typ__1 *(1.0-dsnbSV(ikl)) ! fract.Dendr.Lay. |
---|
| 753 | . + (1.-typ__1) * dsnbSV(ikl) ! |
---|
| 754 | G1_NEW = typ__1 *Buf_G1 ! G1 of Dendr.Lay. |
---|
| 755 | . + (1.-typ__1) *G1_dSV ! |
---|
| 756 | G2_NEW = typ__1 *Buf_G2 ! G2 of Dendr.Lay. |
---|
| 757 | . + (1.-typ__1) *ADSdSV ! |
---|
| 758 | zroOLD = (1.-typ__1) *(1.0-dsnbSV(ikl)) ! fract.Spher.Lay. |
---|
| 759 | . + typ__1 * dsnbSV(ikl) ! |
---|
| 760 | G1_OLD = (1.-typ__1) *Buf_G1 ! G1 of Spher.Lay. |
---|
| 761 | . + typ__1 *G1_dSV ! |
---|
| 762 | G2_OLD = (1.-typ__1) *Buf_G2 ! G2 of Spher.Lay. |
---|
| 763 | . + typ__1 *ADSdSV ! |
---|
| 764 | SizNEW = -G1_NEW *DDcdSV/G1_dSV ! Size Dendr.Lay. |
---|
| 765 | . +(1.+G1_NEW /G1_dSV) ! |
---|
| 766 | . *(G2_NEW *DScdSV/G1_dSV ! |
---|
| 767 | . +(1.-G2_NEW /G1_dSV)*DFcdSV) ! |
---|
| 768 | SphNEW = G2_NEW /G1_dSV ! Spher.Dendr.Lay. |
---|
| 769 | SizOLD = G2_OLD ! Size Spher.Lay. |
---|
| 770 | SphOLD = G1_OLD /G1_dSV ! Spher.Spher.Lay. |
---|
| 771 | Siz_av = (zroNEW*SizNEW+zroOLD*SizOLD) ! Averaged Size |
---|
| 772 | Sph_av = min( zroNEW*SphNEW+zroOLD*SphOLD ! |
---|
| 773 | . , unun) ! Averaged Sphericity |
---|
| 774 | Den_av = min((Siz_av -( Sph_av *DScdSV ! |
---|
| 775 | . +(1.-Sph_av)*DFcdSV)) ! |
---|
| 776 | . / (DDcdSV -( Sph_av *DScdSV ! |
---|
| 777 | . +(1.-Sph_av)*DFcdSV)) ! |
---|
| 778 | . , unun) ! |
---|
| 779 | DendOK = max(zero, ! |
---|
| 780 | . sign(unun, Sph_av *DScdSV ! Small Grains |
---|
| 781 | . +(1.-Sph_av)*DFcdSV ! Faceted Grains |
---|
| 782 | . - Siz_av )) ! |
---|
[3792] | 783 | C +... REMARQUE: le type moyen (dendritique ou non) depend |
---|
| 784 | C + ^^^^^^^^ de la comparaison avec le diametre optique |
---|
| 785 | C + d'une neige recente de dendricite nulle |
---|
| 786 | C +... REMARK: the mean type (dendritic or not) depends |
---|
| 787 | C + ^^^^^^ on the comparaison with the optical diameter |
---|
| 788 | C + of a recent snow having zero dendricity |
---|
| 789 | |
---|
[4013] | 790 | G1diff =( -DendOK *Den_av |
---|
| 791 | . +(1.-DendOK)*Sph_av) *G1_dSV |
---|
| 792 | G2diff = DendOK *Sph_av *G1_dSV |
---|
| 793 | . +(1.-DendOK)*Siz_av |
---|
| 794 | G1 = SameOK *G1same |
---|
| 795 | . +(1.-SameOK)*G1diff |
---|
| 796 | G2 = SameOK *G2same |
---|
| 797 | . +(1.-SameOK)*G2diff |
---|
| 798 | ENDIF |
---|
[3792] | 799 | |
---|
[4013] | 800 | |
---|
[3792] | 801 | |
---|
| 802 | ! S.1. Meme Type de Neige / same Grain Type |
---|
| 803 | ! ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 804 | SameOK = max(zero, |
---|
| 805 | . sign(unun, Buf_G1 *BG1sSV(ikl) |
---|
| 806 | . - eps_21 )) |
---|
| 807 | G1same = (d_Bufs*Buf_G1+BufsSV(ikl)*BG1sSV(ikl)) |
---|
| 808 | . /max(epsi,Bufs_N) |
---|
| 809 | G2same = (d_Bufs*Buf_G2+BufsSV(ikl)*BG2sSV(ikl)) |
---|
| 810 | . /max(epsi,Bufs_N) |
---|
| 811 | |
---|
| 812 | ! S.2. Types differents / differents Types |
---|
| 813 | ! ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 814 | |
---|
| 815 | typ__1 = max(zero,sign(unun,epsi-Buf_G1)) ! =1.=> Dendritic |
---|
| 816 | zroNEW =( typ__1 *d_Bufs ! fract.Dendr.Lay. |
---|
| 817 | . + (1.-typ__1) *BufsSV(ikl)) ! |
---|
| 818 | . /max(epsi,Bufs_N) ! |
---|
| 819 | G1_NEW = typ__1 *Buf_G1 ! G1 of Dendr.Lay. |
---|
| 820 | . + (1.-typ__1) *BG1sSV(ikl) ! |
---|
| 821 | G2_NEW = typ__1 *Buf_G2 ! G2 of Dendr.Lay. |
---|
| 822 | . + (1.-typ__1) *BG2sSV(ikl) ! |
---|
| 823 | zroOLD =((1.-typ__1) *d_Bufs ! fract.Spher.Lay. |
---|
| 824 | . + typ__1 *BufsSV(ikl)) ! |
---|
| 825 | . /max(epsi,Bufs_N) ! |
---|
| 826 | G1_OLD = (1.-typ__1) *Buf_G1 ! G1 of Spher.Lay. |
---|
| 827 | . + typ__1 *BG1sSV(ikl) ! |
---|
| 828 | G2_OLD = (1.-typ__1) *Buf_G2 ! G2 of Spher.Lay. |
---|
| 829 | . + typ__1 *BG2sSV(ikl) ! |
---|
| 830 | SizNEW = -G1_NEW *DDcdSV/G1_dSV ! Size Dendr.Lay. |
---|
| 831 | . +(1.+G1_NEW /G1_dSV) ! |
---|
| 832 | . *(G2_NEW *DScdSV/G1_dSV ! |
---|
| 833 | . +(1.-G2_NEW /G1_dSV)*DFcdSV) ! |
---|
| 834 | SphNEW = G2_NEW /G1_dSV ! Spher.Dendr.Lay. |
---|
| 835 | SizOLD = G2_OLD ! Size Spher.Lay. |
---|
| 836 | SphOLD = G1_OLD /G1_dSV ! Spher.Spher.Lay. |
---|
| 837 | Siz_av = ( zroNEW *SizNEW+zroOLD*SizOLD) ! Averaged Size |
---|
| 838 | Sph_av = min( zroNEW *SphNEW+zroOLD*SphOLD ! |
---|
| 839 | . , unun ) ! Averaged Sphericity |
---|
| 840 | Den_av = min((Siz_av - ( Sph_av *DScdSV ! |
---|
| 841 | . +(1.-Sph_av)*DFcdSV)) ! |
---|
| 842 | . / (DDcdSV - ( Sph_av *DScdSV ! |
---|
| 843 | . +(1.-Sph_av)*DFcdSV)) ! |
---|
| 844 | . , unun )! |
---|
| 845 | DendOK = max(zero, ! |
---|
| 846 | . sign(unun, Sph_av *DScdSV ! Small Grains |
---|
| 847 | . +(1.-Sph_av)*DFcdSV ! Faceted Grains |
---|
| 848 | . - Siz_av )) ! |
---|
| 849 | C +... REMARQUE: le type moyen (dendritique ou non) depend |
---|
| 850 | C + ^^^^^^^^ de la comparaison avec le diametre optique |
---|
| 851 | C + d'une neige recente de dendricite nulle |
---|
| 852 | C +... REMARK: the mean type (dendritic or not) depends |
---|
| 853 | C + ^^^^^^ on the comparaison with the optical diameter |
---|
| 854 | C + of a recent snow having zero dendricity |
---|
| 855 | |
---|
| 856 | G1diff =( -DendOK *Den_av |
---|
| 857 | . +(1.-DendOK)*Sph_av) *G1_dSV |
---|
| 858 | G2diff = DendOK *Sph_av *G1_dSV |
---|
| 859 | . +(1.-DendOK)*Siz_av |
---|
| 860 | G1 = SameOK *G1same |
---|
| 861 | . +(1.-SameOK)*G1diff |
---|
| 862 | G2 = SameOK *G2same |
---|
| 863 | . +(1.-SameOK)*G2diff |
---|
| 864 | |
---|
| 865 | BG1sSV(ikl) = G1 ! |
---|
| 866 | . * Bufs_N/max(epsi,Bufs_N) ! |
---|
| 867 | BG2sSV(ikl) = G2 ! |
---|
| 868 | . * Bufs_N/max(epsi,Bufs_N) ! |
---|
| 869 | |
---|
| 870 | |
---|
| 871 | C +--Update of Buffer Layer Content & Decision about creating a new snow layer |
---|
| 872 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 873 | BufsSV(ikl) = Bufs_N ! [mm w.e.] |
---|
| 874 | NLaysv(ikl) = min(unun, ! |
---|
| 875 | . max(zero, ! Allows to create |
---|
| 876 | . sign(unun,BufsSV(ikl) ! a new snow Layer |
---|
| 877 | . -SMndSV )) ! if Buffer > SMndSV |
---|
| 878 | . *max(zero, ! Except if * Erosion |
---|
| 879 | . sign(unun,0.50 ! dominates |
---|
| 880 | . -dsnbSV(ikl))) ! |
---|
| 881 | . +max(zero, ! Allows to create |
---|
| 882 | . sign(unun,BufsSV(ikl) ! a new snow Layer |
---|
| 883 | . -SMndSV*3.00))) ! is Buffer > SMndSV*3 |
---|
| 884 | Bdzssv(ikl) = 1.e-3*BufsSV(ikl)*ro_Wat ! [mm w.e.] -> [m w.e.] |
---|
| 885 | . /max(epsi,BrosSV(ikl))!& [m w.e.] -> [m] |
---|
| 886 | |
---|
| 887 | |
---|
| 888 | END DO |
---|
| 889 | |
---|
| 890 | |
---|
| 891 | |
---|
[4013] | 892 | ! Snow Pack Discretization(option XF in MAR) |
---|
| 893 | ! ========================================== |
---|
[3792] | 894 | |
---|
[4013] | 895 | |
---|
| 896 | if (discret_xf.AND.klonv.eq.1) then |
---|
| 897 | |
---|
| 898 | if(isnoSV(1).ge.1.or.NLaysv(1).ge.1) then |
---|
| 899 | C + ********** |
---|
| 900 | call SISVAT_zSn |
---|
| 901 | C + ********** |
---|
| 902 | endif |
---|
| 903 | else |
---|
| 904 | C + ********** |
---|
[3792] | 905 | call SISVAT_zSn |
---|
[4013] | 906 | C + ********** |
---|
| 907 | endif |
---|
| 908 | |
---|
| 909 | C + ********** |
---|
[3792] | 910 | ! #ve call SISVAT_wEq('_zSn ',0) |
---|
[4013] | 911 | C + ********** |
---|
[3792] | 912 | |
---|
| 913 | ! Add a new Snow Layer |
---|
| 914 | ! ==================== |
---|
| 915 | |
---|
| 916 | DO ikl=1,knonv |
---|
| 917 | |
---|
| 918 | isnoSV(ikl) = isnoSV(ikl) +NLaysv(ikl) |
---|
| 919 | isn = isnoSV(ikl) |
---|
| 920 | dzsnSV(ikl,isn) = dzsnSV(ikl,isn) * (1-NLaysv(ikl)) |
---|
| 921 | . + Bdzssv(ikl) * NLaysv(ikl) |
---|
| 922 | TsisSV(ikl,isn) = TsisSV(ikl,isn) * (1-NLaysv(ikl)) |
---|
| 923 | . + min(TaT_SV(ikl),Tf_Sno) *NLaysv(ikl) |
---|
| 924 | ro__SV(ikl,isn) = ro__SV(ikl,isn) * (1-NLaysv(ikl)) |
---|
| 925 | . + Brossv(ikl) * NLaysv(ikl) |
---|
| 926 | eta_SV(ikl,isn) = eta_SV(ikl,isn) * (1-NLaysv(ikl)) ! + 0. |
---|
| 927 | agsnSV(ikl,isn) = agsnSV(ikl,isn) * (1-NLaysv(ikl)) ! + 0. |
---|
| 928 | G1snSV(ikl,isn) = G1snSV(ikl,isn) * (1-NLaysv(ikl)) |
---|
| 929 | . + BG1ssv(ikl) * NLaysv(ikl) |
---|
| 930 | G2snSV(ikl,isn) = G2snSV(ikl,isn) * (1-NLaysv(ikl)) |
---|
| 931 | . + BG2ssv(ikl) * NLaysv(ikl) |
---|
| 932 | istoSV(ikl,isn) = istoSV(ikl,isn) * (1-NLaysv(ikl)) |
---|
| 933 | . + max(zer0,sign(un_1,TaT_SV(ikl) |
---|
| 934 | . -Tf_Sno-eps_21)) * istdSV(2) |
---|
| 935 | . * NLaysv(ikl) |
---|
| 936 | BufsSV(ikl) = BufsSV(ikl) * (1-NLaysv(ikl)) |
---|
| 937 | NLaysv(ikl) = 0 |
---|
| 938 | |
---|
| 939 | |
---|
| 940 | END DO |
---|
| 941 | |
---|
| 942 | |
---|
| 943 | ! Snow Pack Thickness |
---|
| 944 | ! ------------------- |
---|
| 945 | |
---|
| 946 | DO ikl=1,knonv |
---|
| 947 | z_snsv(ikl) = 0.0 |
---|
| 948 | END DO |
---|
| 949 | DO isn=1,nsno |
---|
| 950 | DO ikl=1,knonv |
---|
| 951 | z_snsv(ikl) = z_snsv(ikl) + dzsnSV(ikl,isn) |
---|
| 952 | zzsnsv(ikl,isn) = z_snsv(ikl) |
---|
| 953 | END DO |
---|
| 954 | END DO |
---|
| 955 | |
---|
| 956 | |
---|
| 957 | |
---|
[4013] | 958 | END IF ! SnoMod |
---|
[3792] | 959 | |
---|
| 960 | |
---|
| 961 | |
---|
| 962 | ! Soil Albedo: Soil Humidity Correction |
---|
| 963 | ! ========================================== |
---|
| 964 | |
---|
| 965 | ! REFERENCE: McCumber and Pielke (1981), Pielke (1984) |
---|
| 966 | ! ^^^^^^^^^ |
---|
| 967 | DO ikl=1,knonv |
---|
| 968 | albssv(ikl) = |
---|
| 969 | . alb0SV(ikl) *(1.0-min(half,eta_SV( ikl,0) |
---|
| 970 | . /etadSV(isotSV(ikl)))) |
---|
| 971 | ! REMARK: Albedo of Water Surfaces (isotSV=0): |
---|
| 972 | ! ^^^^^^ alb0SV := 2 X effective value, while |
---|
| 973 | ! eta_SV := etadSV |
---|
| 974 | END DO |
---|
| 975 | |
---|
| 976 | |
---|
| 977 | ! Snow Pack Optical Properties |
---|
| 978 | ! ============================ |
---|
| 979 | |
---|
| 980 | IF (SnoMod) THEN |
---|
| 981 | |
---|
| 982 | ! ****** |
---|
| 983 | call SnOptP(jjtime) |
---|
| 984 | ! ****** |
---|
| 985 | |
---|
| 986 | ELSE |
---|
| 987 | DO ikl=1,knonv |
---|
| 988 | sEX_sv(ikl,1) = 1.0 |
---|
| 989 | sEX_sv(ikl,0) = 0.0 |
---|
| 990 | albisv(ikl) = albssv(ikl) |
---|
| 991 | END DO |
---|
| 992 | END IF |
---|
| 993 | |
---|
| 994 | |
---|
| 995 | |
---|
| 996 | ! Soil optical properties |
---|
| 997 | ! ============================= |
---|
| 998 | !Etienne: as in inlandis we do not call vgopt, we need to define |
---|
[4013] | 999 | !the albedo alb_SV and to calculate the |
---|
[3792] | 1000 | !absorbed Solar Radiation by Surfac (Normaliz)[-] SoSosv |
---|
| 1001 | |
---|
| 1002 | |
---|
| 1003 | DO ikl=1,klonv |
---|
| 1004 | |
---|
| 1005 | e_pRad = 2.5 * coszSV(ikl) ! exponential argument, |
---|
| 1006 | ! V/nIR radiation partitioning, |
---|
| 1007 | ! DR97, 2, eqn (2.53) & (2.54) |
---|
| 1008 | e1pRad = 1.-exp(-e_pRad) ! exponential, V/nIR Rad. Part. |
---|
| 1009 | exdRad= 1. |
---|
| 1010 | |
---|
| 1011 | ! Visible Part of the Solar Radiation Spectrum (V, 0.4--0.7mi.m) |
---|
| 1012 | A_Rad0 = 0.25 + 0.697 * e1pRad ! Absorbed Vis. Radiation |
---|
| 1013 | absg_V = (1.-albisv(ikl))*(A_Rad0*exdRad) ! |
---|
| 1014 | |
---|
| 1015 | ! Near-IR Part of the Solar Radiation Spectrum (nIR, 0.7--2.8mi.m) |
---|
| 1016 | |
---|
| 1017 | A_Rad0 = 0.80 + 0.185 * e1pRad ! Absorbed nIR. Radiation |
---|
| 1018 | absgnI = (1.-albisv(ikl))*(A_Rad0*exdRad) ! |
---|
| 1019 | |
---|
| 1020 | SoSosv(ikl) = (absg_V+absgnI)*0.5d0 |
---|
| 1021 | |
---|
| 1022 | alb_SV(ikl) = albisv(ikl) |
---|
| 1023 | |
---|
| 1024 | END DO |
---|
| 1025 | |
---|
| 1026 | ! ********** |
---|
| 1027 | ! #ve call SISVAT_wEq('SnOptP',0) |
---|
| 1028 | ! ********** |
---|
| 1029 | |
---|
| 1030 | |
---|
| 1031 | ! Surface Emissivity (Etienne: simplified calculation for landice) |
---|
| 1032 | ! ============================================================= |
---|
| 1033 | ! |
---|
| 1034 | DO ikl=1,knonv |
---|
| 1035 | LSnMsk = min( 1,isnoSV(ikl)) |
---|
| 1036 | Eso_sv(ikl)= EmiSol*(1-LSnMsk)+EmiSno*LSnMsk ! Sol+Sno Emissivity |
---|
| 1037 | emi_SV(ikl)= EmiSol*(1-LSnMsk) + EmiSno*LSnMsk |
---|
| 1038 | END DO |
---|
| 1039 | |
---|
| 1040 | |
---|
| 1041 | |
---|
| 1042 | |
---|
| 1043 | ! Upward IR (INPUT, from previous time step) |
---|
| 1044 | ! =================================================================== |
---|
| 1045 | |
---|
| 1046 | DO ikl=1,knonv |
---|
| 1047 | ! #e1 Enrsvd(ikl) = - IRs_SV(ikl) |
---|
| 1048 | IRupsv(ikl) = IRs_SV(ikl) |
---|
| 1049 | END DO |
---|
| 1050 | |
---|
| 1051 | |
---|
| 1052 | ! Turbulence |
---|
| 1053 | ! ========== |
---|
| 1054 | |
---|
| 1055 | ! Latent Heat of Vaporization/Sublimation |
---|
| 1056 | ! --------------------------------------- |
---|
| 1057 | |
---|
| 1058 | DO ikl=1,knonv |
---|
| 1059 | SnoWat = min(isnoSV(ikl),0) |
---|
| 1060 | Lx_H2O(ikl) = |
---|
| 1061 | . (1.-SnoWat) * LhvH2O |
---|
| 1062 | . + SnoWat *(LhsH2O * (1.-eta_SV(ikl,isnoSV(ikl))) |
---|
| 1063 | . +LhvH2O * eta_SV(ikl,isnoSV(ikl)) ) |
---|
| 1064 | END DO |
---|
| 1065 | |
---|
| 1066 | |
---|
| 1067 | |
---|
| 1068 | |
---|
[4013] | 1069 | ! Aerodynamic Resistance (calculated from drags given by LMDZ) |
---|
| 1070 | ! Commented because already calculated in surf_inlandsis_mod |
---|
| 1071 | ! ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 1072 | ! DO ikl=1,knonv |
---|
| 1073 | ! ram_sv(ikl) = 1./(cdM_SV(ikl)*max(VV__SV(ikl),eps6)) |
---|
| 1074 | ! rah_sv(ikl) = 1./(cdH_SV(ikl)*max(VV__SV(ikl),eps6)) |
---|
| 1075 | ! END DO |
---|
[3792] | 1076 | |
---|
| 1077 | |
---|
| 1078 | |
---|
| 1079 | ! Soil Energy Balance |
---|
| 1080 | ! ===================== |
---|
| 1081 | |
---|
| 1082 | |
---|
[4013] | 1083 | if (iflag_temp_inlandsis .eq. 0) then |
---|
[3792] | 1084 | |
---|
| 1085 | call SISVAT_TSo |
---|
| 1086 | |
---|
| 1087 | else |
---|
[4013] | 1088 | DO ikl=1,knonv |
---|
| 1089 | Tsf_SV(ikl)=Tsrfsv(ikl) |
---|
| 1090 | END DO |
---|
[3792] | 1091 | |
---|
| 1092 | call SISVAT_TS2 |
---|
| 1093 | |
---|
| 1094 | end if |
---|
| 1095 | |
---|
| 1096 | |
---|
| 1097 | ! ********** |
---|
| 1098 | ! #ve call SISVAT_wEq('_TSo ',0) |
---|
| 1099 | ! ********** |
---|
| 1100 | |
---|
| 1101 | |
---|
| 1102 | |
---|
| 1103 | ! Soil Water Potential |
---|
| 1104 | ! ------------------------ |
---|
| 1105 | |
---|
| 1106 | DO isl=-nsol,0 |
---|
| 1107 | DO ikl=1,knonv |
---|
| 1108 | ist = isotSV(ikl) ! Soil Type |
---|
| 1109 | psi_sv(ikl,isl) = psidSV(ist) ! DR97, Eqn.(3.34) |
---|
| 1110 | . *(etadSV(ist) /max(eps6,eta_SV(ikl,isl))) ! |
---|
| 1111 | . **bCHdSV(ist) ! |
---|
| 1112 | |
---|
| 1113 | |
---|
| 1114 | ! Soil Hydraulic Conductivity |
---|
| 1115 | ! --------------------------- |
---|
| 1116 | |
---|
| 1117 | Khydsv(ikl,isl) = s2__SV(ist) ! DR97, Eqn.(3.35) |
---|
| 1118 | . *(eta_SV(ikl,isl)**(2.*bCHdSV(ist)+3.)) ! |
---|
| 1119 | END DO |
---|
| 1120 | END DO |
---|
| 1121 | |
---|
| 1122 | |
---|
| 1123 | ! Melting / Refreezing in the Snow Pack |
---|
| 1124 | ! ===================================== |
---|
| 1125 | |
---|
| 1126 | IF (SnoMod) THEN |
---|
| 1127 | |
---|
| 1128 | ! ********** |
---|
| 1129 | call SISVAT_qSn |
---|
| 1130 | ! ********** |
---|
| 1131 | |
---|
| 1132 | ! ********** |
---|
| 1133 | ! #ve call SISVAT_wEq('_qSn ',0) |
---|
| 1134 | ! ********** |
---|
| 1135 | |
---|
| 1136 | |
---|
| 1137 | ! Snow Pack Thickness |
---|
| 1138 | ! ------------------- |
---|
| 1139 | |
---|
| 1140 | DO ikl=1,knonv |
---|
| 1141 | z_snsv(ikl) = 0.0 |
---|
| 1142 | END DO |
---|
| 1143 | DO isn=1,nsno |
---|
| 1144 | DO ikl=1,knonv |
---|
| 1145 | z_snsv(ikl) = z_snsv(ikl) + dzsnSV(ikl,isn) |
---|
| 1146 | zzsnsv(ikl,isn) = z_snsv(ikl) |
---|
| 1147 | END DO |
---|
| 1148 | END DO |
---|
| 1149 | |
---|
| 1150 | |
---|
| 1151 | ! Energy in Excess is added to the first Soil Layer |
---|
| 1152 | ! ------------------------------------------------- |
---|
| 1153 | DO ikl=1,knonv |
---|
| 1154 | z_snsv(ikl) = max(zer0, |
---|
| 1155 | . sign(un_1,eps6-z_snsv(ikl))) |
---|
| 1156 | TsisSV(ikl,0) = TsisSV(ikl,0) + EExcsv(ikl) |
---|
| 1157 | . /(rocsSV(isotSV(ikl)) |
---|
| 1158 | . +rcwdSV*eta_SV(ikl,0)) |
---|
| 1159 | EExcsv(ikl) = 0. |
---|
| 1160 | END DO |
---|
| 1161 | |
---|
| 1162 | |
---|
| 1163 | END IF |
---|
| 1164 | |
---|
| 1165 | |
---|
| 1166 | ! Soil Water Balance |
---|
| 1167 | ! ===================== |
---|
| 1168 | |
---|
| 1169 | ! ********** |
---|
| 1170 | call SISVAT_qSo |
---|
| 1171 | ! #m0. (Wats_0,Wats_1,Wats_d) |
---|
| 1172 | ! ********** |
---|
| 1173 | |
---|
| 1174 | |
---|
| 1175 | ! Surface Fluxes |
---|
| 1176 | ! ===================== |
---|
| 1177 | |
---|
| 1178 | DO ikl=1,knonv |
---|
| 1179 | IRdwsv(ikl)=IRd_SV(ikl)*Eso_sv(ikl) ! Downward IR |
---|
| 1180 | ! IRdwsv(ikl)=tau_sv(ikl) *IRd_SV(ikl)*Eso_sv(ikl) ! Downward IR |
---|
| 1181 | ! . +(1.0-tau_sv(ikl))*IRd_SV(ikl)*Evg_sv(ikl) ! ! Etienne, remove vegetation component |
---|
| 1182 | IRupsv(ikl) = IRupsv(ikl) ! Upward IR |
---|
| 1183 | IRu_SV(ikl) = -IRupsv(ikl) ! Upward IR |
---|
| 1184 | . +IRd_SV(ikl) ! (effective) |
---|
| 1185 | . -IRdwsv(ikl) ! (positive) |
---|
| 1186 | |
---|
| 1187 | TBr_sv(ikl) =sqrt(sqrt(IRu_SV(ikl)/StefBo)) ! Brightness |
---|
| 1188 | ! ! Temperature |
---|
| 1189 | uts_SV(ikl) = (HSv_sv(ikl) +HSs_sv(ikl)) ! u*T* |
---|
| 1190 | . /(rhT_SV(ikl) *cp) ! |
---|
| 1191 | uqs_SV(ikl) = (HLv_sv(ikl) +HLs_sv(ikl)) ! u*q* |
---|
| 1192 | . /(rhT_SV(ikl) *LhvH2O) ! |
---|
| 1193 | LMO_SV(ikl) = TaT_SV(ikl)*(us__SV(ikl)**3) |
---|
| 1194 | . /gravit/uts_SV(ikl)/vonKrm ! MO length |
---|
| 1195 | |
---|
| 1196 | |
---|
| 1197 | ! Surface Temperature |
---|
| 1198 | ! ^^^^^^^^^^^^^^^^^^^^ |
---|
| 1199 | |
---|
[4013] | 1200 | IF (iflag_tsurf_inlandsis .EQ. 0) THEN |
---|
| 1201 | |
---|
| 1202 | Tsrfsv(ikl) =TsisSV(ikl,isnoSV(ikl)) |
---|
| 1203 | |
---|
| 1204 | ELSE IF (iflag_tsurf_inlandsis .GT. 0) THEN |
---|
[3792] | 1205 | ! Etienne: extrapolation from the two uppermost levels: |
---|
| 1206 | |
---|
| 1207 | if (isnoSV(ikl) >=2) then |
---|
| 1208 | zm1=-dzsnSV(ikl,isnoSV(ikl))/2. |
---|
| 1209 | zm2=-(dzsnSV(ikl,isnoSV(ikl)) + dzsnSV(ikl,isnoSV(ikl)-1)/2.) |
---|
| 1210 | else if (isnoSV(ikl) .EQ. 1) then |
---|
| 1211 | zm1=-dzsnSV(ikl,isnoSV(ikl))/2. |
---|
| 1212 | zm2=-(dzsnSV(ikl,isnoSV(ikl))+dz_dSV(0)/2.) |
---|
| 1213 | else |
---|
| 1214 | zm1=-dz_dSV(0)/2. |
---|
| 1215 | zm2=-(dz_dSV(0)+dz_dSV(-1)/2.) |
---|
| 1216 | |
---|
| 1217 | end if |
---|
| 1218 | |
---|
| 1219 | coefslope=(TsisSV(ikl,isnoSV(ikl))-TsisSV(ikl,isnoSV(ikl)-1)) |
---|
| 1220 | . /(zm1-zm2) |
---|
| 1221 | Tsrfsv(ikl)=TsisSV(ikl,isnoSV(ikl))+coefslope*(0. - zm1) |
---|
| 1222 | |
---|
| 1223 | |
---|
[4013] | 1224 | ELSE !(default) |
---|
[3792] | 1225 | |
---|
[4013] | 1226 | Tsrfsv(ikl) =TsisSV(ikl,isnoSV(ikl)) |
---|
[3792] | 1227 | |
---|
[4013] | 1228 | END IF |
---|
| 1229 | |
---|
| 1230 | |
---|
| 1231 | END DO |
---|
| 1232 | |
---|
[3792] | 1233 | ! Snow Pack Properties (sphericity, dendricity, size) |
---|
| 1234 | ! =================================================== |
---|
| 1235 | |
---|
| 1236 | IF (SnoMod) THEN |
---|
| 1237 | |
---|
[4013] | 1238 | if (discret_xf .AND. klonv.eq.1) then |
---|
| 1239 | if(isnoSV(1).ge.1) then |
---|
| 1240 | C + ********** |
---|
| 1241 | call SISVAT_GSn |
---|
| 1242 | C + ********** |
---|
| 1243 | endif |
---|
| 1244 | else |
---|
| 1245 | C + ********** |
---|
[3792] | 1246 | call SISVAT_GSn |
---|
[4013] | 1247 | C + ********** |
---|
| 1248 | endif |
---|
[3792] | 1249 | |
---|
| 1250 | |
---|
| 1251 | END IF |
---|
| 1252 | |
---|
| 1253 | |
---|
| 1254 | ! Roughness Length for next time step |
---|
| 1255 | !==================================== |
---|
| 1256 | |
---|
| 1257 | ! Note that in INLANDSIS, we treat only ice covered surfaces so calculation |
---|
| 1258 | ! of z0 is much simpler (no subgrid fraction of ocean or land) |
---|
| 1259 | ! old calculations are commented below |
---|
| 1260 | |
---|
| 1261 | |
---|
| 1262 | C +--Roughness Length for Momentum |
---|
| 1263 | C + ----------------------------- |
---|
[4013] | 1264 | |
---|
| 1265 | ! ETIENNE WARNING: changes have been made wrt original SISVAT |
---|
[3792] | 1266 | |
---|
| 1267 | C +--Land+Sea-Ice / Ice-free Sea Mask |
---|
| 1268 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
[4013] | 1269 | DO ikl=1,knonv |
---|
[3792] | 1270 | IcIndx(ikl) = 0 |
---|
| 1271 | ENDDO |
---|
| 1272 | DO isn=1,nsno |
---|
[4013] | 1273 | DO ikl=1,knonv |
---|
| 1274 | |
---|
[3792] | 1275 | IcIndx(ikl) = max(IcIndx(ikl), |
---|
[4013] | 1276 | . isn*max(0, |
---|
| 1277 | . sign(1, |
---|
| 1278 | . int(ro__SV(ikl,isn)-900.)))) |
---|
[3792] | 1279 | ENDDO |
---|
| 1280 | ENDDO |
---|
| 1281 | |
---|
[4013] | 1282 | DO ikl=1,knonv |
---|
[3792] | 1283 | LISmsk = 1. ! in inlandsis, land only |
---|
| 1284 | IceMsk = max(0,sign(1 ,IcIndx(ikl)-1) ) |
---|
| 1285 | SnoMsk = max(min(isnoSV(ikl)-iiceSV(ikl),1),0) |
---|
| 1286 | |
---|
| 1287 | |
---|
| 1288 | C +--Z0 Smooth Regime over Snow (Andreas 1995, CRREL Report 95-16, p. 8) |
---|
| 1289 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 1290 | Z0m_nu = 5.e-5 ! z0s~(10-d)*exp(-vonkar/sqrt(1.1e-03)) |
---|
[4013] | 1291 | |
---|
[3792] | 1292 | C +--Z0 Saltat.Regime over Snow (Gallee et al., 2001, BLM 99 (19) p.11) |
---|
| 1293 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
[4013] | 1294 | |
---|
[3792] | 1295 | u2star = us__SV(ikl) *us__SV(ikl) |
---|
| 1296 | Z0mBSn = u2star *0.536e-3 - 61.8e-6 |
---|
| 1297 | Z0mBSn = max(Z0mBS0 ,Z0mBSn) |
---|
[4013] | 1298 | |
---|
[3792] | 1299 | C +--Z0 Smooth + Saltat. Regime |
---|
| 1300 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 1301 | Z0enSV(ikl) = Z0m_nu |
---|
| 1302 | . + Z0mBSn |
---|
[4013] | 1303 | |
---|
| 1304 | |
---|
| 1305 | ! Calculation of snow roughness length |
---|
| 1306 | !===================================== |
---|
| 1307 | IF (iflag_z0m_snow .EQ. 0) THEN |
---|
| 1308 | |
---|
| 1309 | Z0m_Sn=prescribed_z0m_snow |
---|
| 1310 | |
---|
| 1311 | ELSE IF (iflag_z0m_snow .EQ. 1) THEN |
---|
| 1312 | |
---|
| 1313 | Z0m_Sn=Z0enSV(ikl) |
---|
| 1314 | |
---|
| 1315 | ELSE IF (iflag_z0m_snow .EQ. 2) THEN |
---|
| 1316 | |
---|
[3792] | 1317 | C +--Rough Snow Surface Roughness Length (Variable Sastrugi Height) |
---|
| 1318 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 1319 | A_Fact = 1.0000 ! Andreas et al., 2004, p.4 |
---|
| 1320 | ! ams.confex.com/ams/pdfpapers/68601.pdf |
---|
| 1321 | |
---|
| 1322 | ! Parameterization of z0 dependance on Temperature (C. Amory, 2017) |
---|
| 1323 | ! ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ |
---|
| 1324 | ! Z0=f(T) deduced from observations, Adelie Land, dec2012-dec2013 |
---|
[4013] | 1325 | |
---|
| 1326 | |
---|
[3792] | 1327 | coefa = 0.1658 !0.1862 !Ant |
---|
| 1328 | coefb = -50.3869 !-55.7718 !Ant |
---|
| 1329 | ta1 = 253.15 !255. Ant |
---|
| 1330 | ta2 = 273.15 |
---|
| 1331 | ta3 = 273.15+3 |
---|
| 1332 | z01 = exp(coefa*ta1 + coefb) !~0.2 ! ~0.25 mm |
---|
| 1333 | z02 = exp(coefa*ta2 + coefb) !~6 !~7 mm |
---|
| 1334 | z03 = z01 |
---|
| 1335 | coefc = log(z03/z02)/(ta3-ta2) |
---|
| 1336 | coefd = log(z03)-coefc*ta3 |
---|
[4013] | 1337 | |
---|
[3792] | 1338 | if (TaT_SV(ikl) .lt. ta1) then |
---|
| 1339 | Z0_obs = z01 |
---|
| 1340 | else if (TaT_SV(ikl).ge.ta1 .and. TaT_SV(ikl).lt.ta2) then |
---|
| 1341 | Z0_obs = exp(coefa*TaT_SV(ikl) + coefb) |
---|
| 1342 | else if (TaT_SV(ikl).ge.ta2 .and. TaT_SV(ikl).lt.ta3) then |
---|
| 1343 | ! if st > 0, melting induce smooth surface |
---|
| 1344 | Z0_obs = exp(coefc*TaT_SV(ikl) + coefd) |
---|
| 1345 | else |
---|
| 1346 | Z0_obs = z03 |
---|
| 1347 | endif |
---|
| 1348 | |
---|
[4013] | 1349 | Z0m_Sn=Z0_obs |
---|
[3792] | 1350 | |
---|
[4013] | 1351 | |
---|
| 1352 | ELSE |
---|
| 1353 | |
---|
| 1354 | Z0m_Sn=0.500e-3 ! default=0.500e-3m (tuning of MAR) |
---|
| 1355 | |
---|
| 1356 | ENDIF |
---|
[3792] | 1357 | |
---|
[4013] | 1358 | |
---|
| 1359 | |
---|
| 1360 | ! param = Z0_obs/1. ! param(s) | 1.(m/s)=TUNING |
---|
[3792] | 1361 | c #SZ Z0Sa_N = (us__SV(ikl) -0.2)*param ! 0.0001=TUNING |
---|
| 1362 | c #SZ. * max(zero,sign(unun,TfSnow-eps9 |
---|
| 1363 | c #SZ. -TsisSV(ikl , isnoSV(ikl)))) |
---|
| 1364 | !!#SZ Z0SaSi = max(zero,sign(unun,Z0Sa_N ))! 1 if erosion |
---|
| 1365 | c #SZ Z0SaSi = max(zero,sign(unun,zero -eps9 -uss_SV(ikl)))! |
---|
| 1366 | c #SZ Z0Sa_N = max(zero, Z0Sa_N) |
---|
| 1367 | c #SZ Z0SaSV(ikl) = |
---|
| 1368 | c #SZ. max(Z0SaSV(ikl) ,Z0SaSV(ikl) |
---|
| 1369 | c #SZ. + Z0SaSi*(Z0Sa_N-Z0SaSV(ikl))*exp(-dt__SV/43200.)) |
---|
| 1370 | c #SZ. - min(dz0_SV(ikl) , Z0SaSV(ikl)) |
---|
| 1371 | |
---|
| 1372 | c #SZ A_Fact = Z0SaSV(ikl) * 5.0/0.15 ! A=5 if h~10cm |
---|
| 1373 | C +... CAUTION: The influence of the sastrugi direction is not yet included |
---|
| 1374 | |
---|
| 1375 | c #SZ Z0m_Sn = Z0SaSV(ikl) ! |
---|
| 1376 | c #SZ. - Z0m_nu ! |
---|
| 1377 | |
---|
| 1378 | C +--Z0 Saltat.Regime over Snow (Shao & Lin, 1999, BLM 91 (46) p.222) |
---|
| 1379 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 1380 | c #ZN sqrrZ0 = usthSV(ikl)/max( us__SV(ikl),0.001) |
---|
| 1381 | c #ZN sqrrZ0 = min( sqrrZ0 ,0.999) |
---|
| 1382 | c #ZN Z0mBSn = 0.55 *0.55 *exp(-sqrrZ0 *sqrrZ0) |
---|
| 1383 | c #ZN. *us__SV(ikl)* us__SV(ikl)*grvinv*0.5 |
---|
| 1384 | |
---|
| 1385 | C +--Z0 Smooth + Saltat. Regime (Shao & Lin, 1999, BLM 91 (46) p.222) |
---|
| 1386 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 1387 | c #ZN Z0enSV(ikl) = (Z0m_nu ** sqrrZ0 ) |
---|
| 1388 | c #ZN. * (Z0mBSn **(1.-sqrrZ0)) |
---|
| 1389 | c #ZN Z0enSV(ikl) = max(Z0enSV(ikl), Z0m_nu) |
---|
| 1390 | |
---|
[4013] | 1391 | |
---|
[3792] | 1392 | C +--Z0 Smooth Regime over Snow (Andreas etAl., 2004 |
---|
| 1393 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^ ams.confex.com/ams/pdfpapers/68601.pdf) |
---|
| 1394 | c #ZA Z0m_nu = 0.135*akmol / max(us__SV(ikl) , epsi) |
---|
| 1395 | |
---|
| 1396 | C +--Z0 Saltat.Regime over Snow (Andreas etAl., 2004 |
---|
| 1397 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^ ams.confex.com/ams/pdfpapers/68601.pdf) |
---|
| 1398 | c #ZA Z0mBSn = 0.035*u2star *grvinv |
---|
| 1399 | |
---|
| 1400 | C +--Z0 Smooth + Saltat. Regime (Andreas etAl., 2004 |
---|
| 1401 | ! ( used by Erosion) ams.confex.com/ams/pdfpapers/68601.pdf) |
---|
| 1402 | ! ^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 1403 | c #ZA Z0enSV(ikl) = Z0m_nu |
---|
| 1404 | c #ZA. + Z0mBSn |
---|
| 1405 | |
---|
| 1406 | C +--Z0 Rough Regime over Snow (Andreas etAl., 2004 |
---|
| 1407 | C + (.NOT. used by Erosion) ams.confex.com/ams/pdfpapers/68601.pdf) |
---|
| 1408 | ! ^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 1409 | !!#ZA u2star = (us__SV(ikl) -0.1800) / 0.1 |
---|
| 1410 | !!#ZA Z0m_Sn =A_Fact*Z0mBSn *exp(-u2star*u2star) |
---|
| 1411 | c #ZA Z0m_90 =(10.-0.025*VVs_SV(ikl)/5.) |
---|
| 1412 | c #ZA. *exp(-0.4/sqrt(.00275+.00001*max(0.,VVs_SV(ikl)-5.))) |
---|
| 1413 | c #ZA Z0m_Sn = DDs_SV(ikl)* Z0m_90 / 45. |
---|
| 1414 | c #ZA. - DDs_SV(ikl)*DDs_SV(ikl)* Z0m_90 /(90.*90.) |
---|
[4013] | 1415 | |
---|
| 1416 | |
---|
| 1417 | |
---|
| 1418 | |
---|
| 1419 | C +--Z0 (Erosion) over Snow (instantaneous) |
---|
[3792] | 1420 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 1421 | Z0e_SV(ikl) = Z0enSV(ikl) |
---|
| 1422 | |
---|
[4013] | 1423 | C +--Momentum Roughness Length (Etienne: changes wrt original SISVAT) |
---|
| 1424 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
| 1425 | Z0mnSV(ikl) = Z0m_nu *(1-SnoMsk) ! Ice z0 |
---|
| 1426 | . + (Z0m_Sn)*SnoMsk ! Snow Sastrugi Form and Snow Erosion |
---|
[3792] | 1427 | |
---|
| 1428 | |
---|
| 1429 | C +--GIS Roughness Length |
---|
| 1430 | C + ^^^^^^^^^^^^^^^^^^^^^ |
---|
| 1431 | c #GL Z0mnSV(ikl) = |
---|
| 1432 | c #GL. (1-LSmask(ikl)) * Z0mnSV(ikl) |
---|
| 1433 | c #GL. + LSmask(ikl) * max(Z0mnSV(ikl),max(Z0_GIM, |
---|
| 1434 | c #GL. Z0_GIM+ |
---|
| 1435 | c #GL. (0.0032-Z0_GIM)*(ro__SV(ikl,isnoSV(ikl))-600.) ! |
---|
| 1436 | c #GL. /(920.00 -600.))) ! |
---|
| 1437 | |
---|
[4013] | 1438 | C +--Mom. Roughness Length, Instantaneous |
---|
| 1439 | C + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ |
---|
[3792] | 1440 | Z0m_SV(ikl) = Z0mnSV(ikl) ! Z0mnSV instant. |
---|
| 1441 | |
---|
| 1442 | |
---|
| 1443 | C +--Roughness Length for Scalars |
---|
| 1444 | C + ---------------------------- |
---|
| 1445 | |
---|
| 1446 | Z0hnSV(ikl) = Z0mnSV(ikl)/ 7.4 |
---|
| 1447 | |
---|
[4013] | 1448 | IF (is_ok_z0h_rn) THEN |
---|
| 1449 | |
---|
| 1450 | rstar = Z0mnSV(ikl) * us__SV(ikl) / akmol |
---|
| 1451 | rstar = max(epsi,min(rstar,R_1000)) |
---|
| 1452 | alors = log(rstar) |
---|
| 1453 | rstar0 = 1.250e0 * max(zero,sign(unun,0.135e0 - rstar)) |
---|
| 1454 | . +(1. - max(zero,sign(unun,0.135e0 - rstar))) |
---|
| 1455 | . *(0.149e0 * max(zero,sign(unun,2.500e0 - rstar)) |
---|
| 1456 | . + 0.317e0 |
---|
| 1457 | . *(1. - max(zero,sign(unun,2.500e0 - rstar)))) |
---|
| 1458 | rstar1 = 0. * max(zero,sign(unun,0.135e0 - rstar)) |
---|
| 1459 | . +(1. - max(zero,sign(unun,0.135e0 - rstar))) |
---|
| 1460 | . *(-0.55e0 * max(zero,sign(unun,2.500e0 - rstar)) |
---|
| 1461 | . - 0.565 |
---|
| 1462 | . *(1. - max(zero,sign(unun,2.500e0 - rstar)))) |
---|
| 1463 | rstar2 = 0. * max(zero,sign(unun,0.135e0 - rstar)) |
---|
| 1464 | . +(1. - max(zero,sign(unun,0.135e0 - rstar))) |
---|
| 1465 | . *(0. * max(zero,sign(unun,2.500e0 - rstar)) |
---|
| 1466 | . - 0.183 |
---|
| 1467 | . *(unun - max(zero,sign(unun,2.500e0 - rstar)))) |
---|
[3792] | 1468 | |
---|
[4013] | 1469 | |
---|
| 1470 | |
---|
| 1471 | !XF #RN (is_ok_z0h_rn) does not work well over bare ice |
---|
| 1472 | !XF MAR is then too warm and not enough melt |
---|
[3792] | 1473 | |
---|
[4013] | 1474 | if(ro__SV(ikl,isnoSV(ikl))>50 |
---|
| 1475 | . .and.ro__SV(ikl,isnoSV(ikl))<roSdSV)then |
---|
[3792] | 1476 | |
---|
[4013] | 1477 | Z0hnSV(ikl) = max(zero |
---|
| 1478 | . , sign(unun,zzsnsv(ikl,isnoSV(ikl))-epsi)) |
---|
| 1479 | . * exp(rstar0+rstar1*alors+rstar2*alors*alors) |
---|
| 1480 | . * 0.001e0 + Z0hnSV(ikl) * ( 1. - max(zero |
---|
| 1481 | . , sign(unun,zzsnsv(ikl,isnoSV(ikl))-epsi))) |
---|
[3792] | 1482 | |
---|
[4013] | 1483 | endif |
---|
| 1484 | |
---|
| 1485 | |
---|
| 1486 | ENDIF |
---|
[3792] | 1487 | |
---|
| 1488 | Z0h_SV(ikl) = Z0hnSV(ikl) |
---|
| 1489 | |
---|
| 1490 | |
---|
| 1491 | c #MT Z0m_SV(ikl) = max(2.0e-6 ,Z0m_SV(ikl)) ! Min Z0_m (Garrat Scheme) |
---|
| 1492 | ! Z0m_SV(ikl) = min(Z0m_SV(ikl),za__SV(ikl)*0.3333) |
---|
| 1493 | |
---|
| 1494 | |
---|
| 1495 | END DO |
---|
| 1496 | |
---|
| 1497 | |
---|
| 1498 | return |
---|
| 1499 | end |
---|
| 1500 | |
---|
| 1501 | |
---|
| 1502 | |
---|
| 1503 | |
---|
| 1504 | |
---|
| 1505 | |
---|
| 1506 | |
---|
| 1507 | |
---|
| 1508 | |
---|
| 1509 | |
---|
| 1510 | |
---|