[4485] | 1 | subroutine blowing_snow_sublim_sedim(ngrid,nlay,dtime,temp,q,qbs,pplay,paprs,dtemp_bs,dq_bs,dqbs_bs,bsfl,precip_bs) |
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| 2 | |
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| 3 | !============================================================================== |
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| 4 | ! Routine that calculates the evaporation and sedimentation of blowing snow |
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| 5 | ! inspired by what is done in lscp_mod |
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| 6 | ! Etienne Vignon, October 2022 |
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| 7 | !============================================================================== |
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| 8 | |
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| 9 | |
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| 10 | use blowing_snow_ini_mod, only : coef_eva_bs,RTT,RD,RG,expo_eva_bs, fallv_bs |
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| 11 | use blowing_snow_ini_mod, only : RCPD, RLSTT, RLMLT, RLVTT, RVTMP2, niter_bs |
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| 12 | USE lscp_tools_mod, only : calc_qsat_ecmwf |
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| 13 | |
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| 14 | implicit none |
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| 15 | |
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| 16 | |
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| 17 | !++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 18 | ! Declarations |
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| 19 | !++++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 20 | |
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| 21 | !INPUT |
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| 22 | !===== |
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| 23 | |
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| 24 | integer, intent(in) :: ngrid,nlay |
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| 25 | real, intent(in) :: dtime |
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| 26 | real, intent(in), dimension(ngrid,nlay) :: temp |
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| 27 | real, intent(in), dimension(ngrid,nlay) :: q |
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| 28 | real, intent(in), dimension(ngrid,nlay) :: qbs |
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| 29 | real, intent(in), dimension(ngrid,nlay) :: pplay |
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| 30 | real, intent(in), dimension(ngrid,nlay+1) :: paprs |
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| 31 | |
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| 32 | |
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| 33 | |
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| 34 | ! OUTPUT |
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| 35 | !======== |
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| 36 | |
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| 37 | |
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| 38 | real, intent(out), dimension(ngrid,nlay) :: dtemp_bs |
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| 39 | real, intent(out), dimension(ngrid,nlay) :: dq_bs |
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| 40 | real, intent(out), dimension(ngrid,nlay) :: dqbs_bs |
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| 41 | real, intent(out), dimension(ngrid,nlay+1) :: bsfl |
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| 42 | real, intent(out), dimension(ngrid) :: precip_bs |
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| 43 | |
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| 44 | |
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| 45 | ! LOCAL |
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| 46 | !====== |
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| 47 | |
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| 48 | |
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| 49 | integer :: k,i,n |
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| 50 | real :: zqev0, zqevi, zqevti, zcpair, zcpeau, dqbsmelt |
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| 51 | real :: dqsedim,precbs |
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| 52 | real, dimension(ngrid) :: zt,zq,zqbs,qsi,dqsi,qsl, dqsl,qzero,sedim,sedimn |
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| 53 | real, dimension(ngrid) :: zqbsi,zmqc, zmair, zdz |
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| 54 | real, dimension(ngrid,nlay) :: velo, zrho |
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| 55 | |
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| 56 | !++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 57 | ! Initialisation |
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| 58 | !++++++++++++++++++++++++++++++++++++++++++++++++++ |
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| 59 | |
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| 60 | qzero(:)=0. |
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| 61 | dtemp_bs(:,:)=0. |
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| 62 | dq_bs(:,:)=0. |
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| 63 | dqbs_bs(:,:)=0. |
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| 64 | velo(:,:)=0. |
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| 65 | zt(:)=0. |
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| 66 | zq(:)=0. |
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| 67 | zqbs(:)=0. |
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| 68 | sedim(:)=0. |
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| 69 | |
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| 70 | ! begin of top-down loop |
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| 71 | DO k = nlay, 1, -1 |
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| 72 | |
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| 73 | DO i=1,ngrid |
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| 74 | zt(i)=temp(i,k) |
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| 75 | zq(i)=q(i,k) |
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| 76 | zqbs(i)=qbs(i,k) |
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| 77 | ENDDO |
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| 78 | |
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| 79 | |
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| 80 | IF (k.LE.nlay-1) THEN |
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| 81 | |
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| 82 | ! thermalization of blowing snow precip coming from above |
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| 83 | DO i = 1, ngrid |
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| 84 | zmair(i)=(paprs(i,k)-paprs(i,k+1))/RG |
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| 85 | ! RVTMP2=rcpv/rcpd-1 |
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| 86 | zcpair=RCPD*(1.0+RVTMP2*zq(i)) |
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| 87 | zcpeau=RCPD*RVTMP2 |
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| 88 | ! zmqc: precipitation mass that has to be thermalized with |
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| 89 | ! layer's air so that precipitation at the ground has the |
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| 90 | ! same temperature as the lowermost layer |
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| 91 | zmqc(i) = (sedim(i))*dtime/zmair(i) |
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| 92 | ! t(i,k+1)+d_t(i,k+1): new temperature of the overlying layer |
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| 93 | zt(i) = ( (temp(i,k+1)+dtemp_bs(i,k+1))*zmqc(i)*zcpeau + zcpair*zt(i) ) & |
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| 94 | / (zcpair + zmqc(i)*zcpeau) |
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| 95 | ENDDO |
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| 96 | ELSE |
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| 97 | DO i = 1, ngrid |
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| 98 | zmair(i)=(paprs(i,k)-paprs(i,k+1))/RG |
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| 99 | zmqc(i) = 0. |
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| 100 | ENDDO |
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| 101 | |
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| 102 | ENDIF |
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| 103 | |
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| 104 | |
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| 105 | |
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| 106 | ! calulation saturation specific humidity |
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| 107 | CALL CALC_QSAT_ECMWF(ngrid,zt(:),qzero(:),pplay(:,k),RTT,2,.false.,qsi(:),dqsi(:)) |
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| 108 | CALL CALC_QSAT_ECMWF(ngrid,zt(:),qzero(:),pplay(:,k),RTT,1,.false.,qsl(:),dqsl(:)) |
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| 109 | ! sublimation calculation |
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| 110 | ! SUndqvist formula dP/dz=beta*(1-q/qsat)*sqrt(P) |
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| 111 | |
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| 112 | DO i = 1, ngrid |
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| 113 | ! if sedimentation: |
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| 114 | IF (sedim(i) .GT. 0.) THEN |
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| 115 | |
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| 116 | IF (zt(i) .GT. RTT) THEN |
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| 117 | ! if positive celcius temperature, we assume |
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| 118 | ! that all the blowing snow melt and evaporate |
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| 119 | zqevti=sedim(i)*(paprs(i,k)-paprs(i,k+1))/pplay(i,k)*zt(i)*RD/RG |
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| 120 | ! we ensure that the whole mesh does not exceed saturation wrt liquid |
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| 121 | zqev0 = MAX(0.0, qsl(i)-zq(i)) |
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| 122 | zqevi = MIN(zqev0,zqevti) |
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| 123 | ! New solid precipitation fluxes |
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| 124 | sedimn(i) = Max(0.,sedim(i) - zqevi*(paprs(i,k)-paprs(i,k+1))/RG/dtime) |
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| 125 | ! vapor, temperature, precip fluxes update |
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| 126 | zq(i) = zq(i) - (sedimn(i)-sedim(i))*(RG/(paprs(i,k)-paprs(i,k+1)))*dtime |
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| 127 | zqbs(i) = zqbs(i) + (sedimn(i)-sedim(i)) * (RG/(paprs(i,k)-paprs(i,k+1)))*dtime |
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| 128 | ! melting |
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| 129 | zt(i) = zt(i) & |
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| 130 | + (sedimn(i)-sedim(i)) & |
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| 131 | * (RG/(paprs(i,k)-paprs(i,k+1)))*dtime & |
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| 132 | * RLMLT/RCPD/(1.0+RVTMP2*(zq(i)+zqbs(i))) |
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| 133 | ! evaporation |
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| 134 | zt(i) = zt(i) & |
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| 135 | + (sedimn(i)-sedim(i)) & |
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| 136 | * (RG/(paprs(i,k)-paprs(i,k+1)))*dtime & |
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| 137 | * RLVTT/RCPD/(1.0+RVTMP2*(zq(i)+zqbs(i))) |
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| 138 | |
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| 139 | |
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| 140 | ELSE |
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| 141 | zqevti = coef_eva_bs*(1.0-zq(i)/qsi(i))*(sedim(i)**expo_eva_bs) & |
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| 142 | *(paprs(i,k)-paprs(i,k+1))/pplay(i,k)*zt(i)*RD/RG |
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| 143 | zqevti = MAX(0.0,MIN(zqevti,sedim(i)))*RG*dtime/(paprs(i,k)-paprs(i,k+1)) |
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| 144 | |
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| 145 | ! Sublimation limit: we ensure that the whole mesh does not exceed saturation wrt ice |
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| 146 | zqev0 = MAX(0.0, qsi(i)-zq(i)) |
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| 147 | zqevi = MIN(zqev0,zqevti) |
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| 148 | |
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| 149 | ! New solid precipitation fluxes |
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| 150 | sedimn(i) = Max(0.,sedim(i) - zqevi*(paprs(i,k)-paprs(i,k+1))/RG/dtime) |
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| 151 | |
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| 152 | |
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| 153 | ! vapor, temperature, precip fluxes update |
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| 154 | zq(i) = zq(i) - (sedimn(i)-sedim(i))*(RG/(paprs(i,k)-paprs(i,k+1)))*dtime |
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| 155 | zqbs(i) = zqbs(i) + (sedimn(i)-sedim(i)) * (RG/(paprs(i,k)-paprs(i,k+1)))*dtime |
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| 156 | zt(i) = zt(i) & |
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| 157 | + (sedimn(i)-sedim(i)) & |
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| 158 | * (RG/(paprs(i,k)-paprs(i,k+1)))*dtime & |
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| 159 | * RLSTT/RCPD/(1.0+RVTMP2*(zq(i)+zqbs(i))) |
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| 160 | ENDIF |
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| 161 | |
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| 162 | |
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| 163 | ! sedim update |
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| 164 | sedim(i)=sedimn(i) |
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| 165 | |
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| 166 | |
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| 167 | ELSE |
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| 168 | sedim(i)=0. |
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| 169 | ENDIF ! if sedim > 0 |
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| 170 | |
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| 171 | zqbsi(i)=zqbs(i) |
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| 172 | |
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| 173 | ENDDO ! loop on ngrid |
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| 174 | |
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| 175 | ! Now sedimention scheme (alike that in lscp) |
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| 176 | DO n = 1, niter_bs |
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| 177 | DO i = 1, ngrid |
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| 178 | zrho(i,k) = pplay(i,k) / zt(i) / RD |
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| 179 | zdz(i) = (paprs(i,k)-paprs(i,k+1)) / (zrho(i,k)*RG) |
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| 180 | velo(i,k) = fallv_bs |
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| 181 | dqsedim = dtime/REAL(niter_bs)/zdz(i)*zqbs(i)*velo(i,k) ! dqice/dt=1/rho*d(rho*wice*qice)/dz |
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| 182 | precbs = MIN(MAX(dqsedim,0.0),zqbs(i)) |
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| 183 | zqbs(i) = MAX(zqbs(i)-1.*precbs , 0.0) |
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| 184 | ENDDO !loop on ngrid |
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| 185 | ENDDO ! loop on niter_bs |
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| 186 | |
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| 187 | ! add to non sublimated precip |
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| 188 | DO i=1,ngrid |
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| 189 | sedim(i) = sedim(i)+max(0.,zqbsi(i)-zqbs(i))*(paprs(i,k)-paprs(i,k+1))/(RG*dtime) |
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| 190 | ENDDO |
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| 191 | |
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| 192 | ! Outputs: |
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| 193 | DO i = 1, ngrid |
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| 194 | bsfl(i,k)=sedim(i) |
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| 195 | dqbs_bs(i,k) = zqbs(i)-qbs(i,k) |
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| 196 | dq_bs(i,k) = zq(i) - q(i,k) |
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| 197 | dtemp_bs(i,k) = zt(i) - temp(i,k) |
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| 198 | ENDDO |
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| 199 | |
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| 200 | |
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| 201 | ENDDO ! vertical loop |
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| 202 | |
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| 203 | |
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| 204 | !surface bs flux |
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| 205 | DO i = 1, ngrid |
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| 206 | precip_bs(i) = sedim(i) |
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| 207 | ENDDO |
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| 208 | |
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| 209 | |
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| 210 | return |
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| 211 | |
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| 212 | end subroutine blowing_snow_sublim_sedim |
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