| 1 | c************************************************************************** |
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| 2 | c |
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| 3 | subroutine nltecool(ngrid,nlayer,pplay,pt,dtnlte) |
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| 4 | c |
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| 5 | c This code was designed as a delivery for the "Martian Environment Models" |
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| 6 | c project ( ESA contract 11369/95/nl/jg CCN2 ) |
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| 7 | c Computes non-LTE heating rates from CO2 emission at 15 um |
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| 8 | c in the Martian upper atmosphere. |
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| 9 | c Uses a simplified model consisting of two excited levels with two |
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| 10 | c emission bands, one of them stronger than the other, which correspond |
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| 11 | c to the behaviours of the 626 fundamental band and the isotopic fund.bands. |
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| 12 | c It uses a cool-to-space approximation with tabulated escape functions. |
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| 13 | c These escape functions have been precomputed for the strong and weak bands, |
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| 14 | c and are given as a function of pressure in separate files. |
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| 15 | c The output values are the heating rates (actually, cooling, since they |
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| 16 | c are always negative) for the two bands, i.e., the total cooling is the |
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| 17 | c sum of them. |
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| 18 | c Miguel A. Lopez Valverde |
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| 19 | c Instituto de Astrofisica de Andalucia (CSIC), Granada, Spain |
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| 20 | c |
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| 21 | c Version 1b. See description above. 22-March-2000. |
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| 22 | c Adapted as a subroutine for use in GCM -- PLR/SRL 6/2000 |
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| 23 | c Version 1c. Inclusion of VMR in the tabulation of escape functions. |
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| 24 | c Table contains now only 1 input file -- Miguel 11/Jul/2000 |
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| 25 | c Version 1d data contained in original input file "nlte_escape.dat" |
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| 26 | c now stored in include file "nltedata.h" Y.Wanherdrick 09/2000 |
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| 27 | c |
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| 28 | c*************************************************************************** |
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| 29 | |
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| 30 | implicit none |
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| 31 | |
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| 32 | #include "nltedata.h" ! (Equivalent to the reading of the "nlte_escape.dat" file) |
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| 33 | |
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| 34 | c Input and output variables |
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| 35 | c |
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| 36 | integer ngrid ! no. of horiz. gridpoints |
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| 37 | integer nlayer ! no. of atmospheric layers |
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| 38 | real pplay(ngrid,nlayer) ! input pressure grid |
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| 39 | real pt(ngrid,nlayer) ! input temperatures |
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| 40 | real dtnlte(ngrid,nlayer) ! output temp. tendencies |
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| 41 | |
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| 42 | c |
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| 43 | c Standard atmosphere variables |
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| 44 | c |
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| 45 | real nt ! number density [cm-3] |
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| 46 | real co2(nlayer) ! " of CO2 |
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| 47 | real o3p(nlayer) ! " of atomic oxygen |
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| 48 | real n2co(nlayer) ! " of N2 + CO |
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| 49 | real pyy(nlayer) ! auxiliary pressure grid |
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| 50 | |
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| 51 | c |
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| 52 | c Vectors and indexes for the tabulation of escape functions and VMR |
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| 53 | c |
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| 54 | c np ! # data points in tabulation |
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| 55 | c pnb(np) ! Pressure in tabulation |
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| 56 | c ef1(np) ! Esc.funct.#1, tabulated |
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| 57 | c ef2(np) ! Esc.funct.#2, tabulated |
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| 58 | c co2vmr(np) ! CO2 VMR tabulated |
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| 59 | c o3pvmr(np) ! CO2 VMR tabulated |
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| 60 | c n2covmr(np) ! N2+CO VMR tabulated |
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| 61 | real escf1(nlayer) ! Esc.funct.#1, interpolated |
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| 62 | real escf2(nlayer) ! Esc.funct.#2, interpolated |
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| 63 | |
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| 64 | |
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| 65 | c |
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| 66 | c Local Constants |
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| 67 | c |
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| 68 | real nu1, nu2 ! freq. of energy levels |
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| 69 | real imr1, imr2 ! isotopic abundances |
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| 70 | real hplanck, gamma, vlight ! physical constants |
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| 71 | real ee |
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| 72 | real rfvt ! collisional rate |
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| 73 | real rfvto3p ! " |
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| 74 | real rfvv ! " |
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| 75 | |
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| 76 | c |
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| 77 | c Local variables for the main loop |
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| 78 | c |
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| 79 | real n1, n2, co2t ! ground populations |
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| 80 | real l1, p1, p12 ! prod & losses |
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| 81 | real l2, p2, p21 |
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| 82 | real tt ! dummy variable |
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| 83 | real c1, c2 ! molecular constants |
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| 84 | real ae1, ae2 ! einstein spontaneous emission |
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| 85 | real a1, a2, a12, a21 |
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| 86 | real pl1, pl2 |
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| 87 | real el1, el2 |
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| 88 | real hr1, hr2 ! heating rate due to each band |
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| 89 | real hr(nlayer) ! total heating rate |
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| 90 | |
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| 91 | c |
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| 92 | c Indexes |
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| 93 | c |
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| 94 | integer i |
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| 95 | integer j,ii |
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| 96 | |
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| 97 | c |
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| 98 | c Rate coefficients |
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| 99 | c |
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| 100 | real k19xca, k19xcb |
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| 101 | real k19cap1, k19cap2 |
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| 102 | real k19cbp1, k19cbp2 |
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| 103 | real d19c, d19cp1, d19cp2 |
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| 104 | real k20xc, k20cp1, k20cp2 |
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| 105 | real k21xc, k21cp2 |
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| 106 | |
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| 107 | logical firstcall |
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| 108 | data firstcall/.true./ |
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| 109 | save firstcall,ef1,ef2,co2vmr,n2covmr,o3pvmr,pnb |
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| 110 | |
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| 111 | c |
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| 112 | c Data |
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| 113 | c |
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| 114 | data nu1, nu2, hplanck, gamma, vlight, ee/ |
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| 115 | 1 667.38, 662.3734, 6.6261e-27, 1.191e-5, 3.e10, 1.438769/ |
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| 116 | |
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| 117 | c************************************************************************* |
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| 118 | c PROGRAM STARTS |
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| 119 | c************************************************************************* |
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| 120 | |
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| 121 | imr1 = 0.987 |
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| 122 | imr2 = 0.00408 + 0.0112 |
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| 123 | rfvt = 0.1 |
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| 124 | rfvto3p = 1.0 |
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| 125 | rfvv = 0.1 |
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| 126 | |
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| 127 | if(firstcall) then |
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| 128 | |
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| 129 | do i=1,np |
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| 130 | pnb(i)=1.0e-4*exp(pnb(i)) ! p into Pa |
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| 131 | end do |
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| 132 | |
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| 133 | firstcall = .false. |
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| 134 | |
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| 135 | endif |
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| 136 | |
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| 137 | c |
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| 138 | c MAIN LOOP, for each gridpoint and altitude: |
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| 139 | c |
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| 140 | do j=1,ngrid ! loop over grid points |
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| 141 | c |
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| 142 | c set up local pressure grid |
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| 143 | c |
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| 144 | do ii=1,nlayer |
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| 145 | pyy(ii)=pplay(j,ii) |
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| 146 | enddo |
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| 147 | ! |
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| 148 | ! Interpolate escape functions and VMR to the desired grid |
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| 149 | ! |
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| 150 | call interp1(escf2,pyy,nlayer,ef2,pnb,np) |
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| 151 | call interp1(escf1,pyy,nlayer,ef1,pnb,np) |
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| 152 | call interp3(co2,o3p,n2co,pyy,nlayer, |
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| 153 | & co2vmr,o3pvmr,n2covmr,pnb,np) |
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| 154 | |
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| 155 | do i=1,nlayer ! loop over layers |
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| 156 | C |
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| 157 | C test if p lies outside range (p > 3.5 Pa) |
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| 158 | C changed to 1 Pa since transition will always be higher than this |
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| 159 | C |
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| 160 | if(pyy(i) .gt. 1.0 .or. pyy(i) .lt. 4.0e-6) then |
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| 161 | hr(i)=0.0 |
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| 162 | dtnlte(j,i)=0.0 |
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| 163 | else |
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| 164 | c |
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| 165 | c if(pt(j,i).lt.1.0)print*,pt(j,i) |
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| 166 | nt = pyy(i)/(1.381e-17*pt(j,i)) ! nt in cm-3 |
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| 167 | co2(i)=co2(i)*nt ! CO2 density in cm-3 |
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| 168 | o3p(i)=o3p(i)*nt ! O3p density in cm-3 |
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| 169 | n2co(i)=n2co(i)*nt ! N2+CO in cm-3 |
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| 170 | c molecular populations |
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| 171 | n1 = co2(i) * imr1 |
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| 172 | n2 = co2(i) * imr2 |
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| 173 | co2t = n1 + n2 |
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| 174 | |
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| 175 | c intermediate collisional rates |
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| 176 | tt = pt(j,i)*pt(j,i) |
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| 177 | |
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| 178 | if (pt(j,i).le.175.0) then |
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| 179 | k19xca = 3.3e-15 |
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| 180 | k19xcb = 7.6e-16 |
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| 181 | else |
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| 182 | k19xca = 4.2e-12 * exp( -2988.0/pt(j,i) + 303930.0/tt) |
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| 183 | k19xcb = 2.1e-12 * exp( -2659.0/pt(j,i) + 223052.0/tt) |
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| 184 | endif |
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| 185 | k19xca = k19xca * rfvt |
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| 186 | k19xcb = k19xcb * rfvt |
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| 187 | k19cap1 = k19xca * 2.0 * exp( -ee*nu1/pt(j,i) ) |
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| 188 | k19cap2 = k19xca * 2.0 * exp( -ee*nu2/pt(j,i) ) |
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| 189 | k19cbp1 = k19xcb * 2.0 * exp( -ee*nu1/pt(j,i) ) |
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| 190 | k19cbp2 = k19xcb * 2.0 * exp( -ee*nu2/pt(j,i) ) |
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| 191 | d19c = k19xca*co2t + k19xcb*n2co(i) |
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| 192 | d19cp1 = k19cap1*co2t + k19cbp1*n2co(i) |
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| 193 | d19cp2 = k19cap2*co2t + k19cbp2*n2co(i) |
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| 194 | ! |
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| 195 | k20xc = 3.e-12 * rfvto3p |
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| 196 | k20cp1 = k20xc * 2.0 * exp( -ee/pt(j,i) * nu1 ) |
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| 197 | k20cp2 = k20xc * 2.0 * exp( -ee/pt(j,i) * nu2 ) |
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| 198 | ! |
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| 199 | k21xc = 2.49e-11 * 0.5 * rfvv |
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| 200 | k21cp2 = k21xc * exp( - ee/pt(j,i) * (nu2-nu1) ) |
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| 201 | ! |
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| 202 | l1 = d19c + k20xc*o3p(i) + k21cp2*n2 |
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| 203 | p1 = ( d19cp1 + k20cp1*o3p(i) ) * n1 |
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| 204 | p12 = k21xc*n1 |
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| 205 | ! |
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| 206 | l2 = d19c + k20xc*o3p(i) + k21xc*n1 |
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| 207 | p2 = ( d19cp2 + k20cp2*o3p(i) ) * n2 |
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| 208 | p21 = k21cp2*n2 |
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| 209 | |
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| 210 | c radiative rates |
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| 211 | ae1 = 1.3546 * 1.66 / 4.0 * escf1(i) |
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| 212 | ae2 = ( 1.3452 + 1.1878 ) * 1.66 / 4.0 * escf2(i) |
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| 213 | l1 = l1 + ae1 |
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| 214 | l2 = l2 + ae2 |
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| 215 | |
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| 216 | c solving the system |
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| 217 | c1 = gamma*nu1**3. * 0.5 |
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| 218 | c2 = gamma*nu2**3. * 0.5 |
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| 219 | a1 = c1 * p1 / (n1*l1) |
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| 220 | a2 = c2 * p2 / (n2*l2) |
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| 221 | a12 = (nu1/nu2)**3. * n2/n1 * p12/l1 |
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| 222 | a21 = (nu2/nu1)**3. * n1/n2 * p21/l2 |
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| 223 | el2 = (a2 + a21 * a1 ) / ( 1.0 - a21 * a12 ) |
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| 224 | el1 = a1 + a12 * el2 |
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| 225 | pl1 = el1 * n1 / c1 |
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| 226 | pl2 = el2 * n2 / c2 |
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| 227 | |
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| 228 | c heating rate |
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| 229 | hr1 = - hplanck*vlight * nu1 * ae1 * pl1 |
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| 230 | hr2 = - hplanck*vlight * nu2 * ae2 * pl2 |
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| 231 | hr(i) = hr1 + hr2 |
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| 232 | dtnlte(j,i)=0.1*hr(i)*pt(j,i)/(4.4*pyy(i)) ! dtnlte in K s-1 |
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| 233 | c write(7,25)pxx(i),hr1,hr2,hr(i),qt |
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| 234 | c 25 format(' ',1p5e12.4) |
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| 235 | |
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| 236 | endif |
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| 237 | |
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| 238 | enddo ! end loop over layers |
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| 239 | enddo ! end loop over grid points |
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| 240 | c close(7) |
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| 241 | c |
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| 242 | return |
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| 243 | end |
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| 244 | |
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| 245 | c*********************************************************************** |
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| 246 | |
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| 247 | subroutine interp1(escout,p,nlayer,escin,pin,nl) |
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| 248 | C |
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| 249 | C subroutine to perform linear interpolation in pressure from 1D profile |
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| 250 | C escin(nl) sampled on pressure grid pin(nl) to profile |
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| 251 | C escout(nlayer) on pressure grid p(nlayer). |
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| 252 | C |
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| 253 | real escout(nlayer),p(nlayer) |
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| 254 | real escin(nl),pin(nl),wm,wp |
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| 255 | integer nl,nlayer,n1,n,nm,np |
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| 256 | do n1=1,nlayer |
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| 257 | if(p(n1) .gt. 3.5 .or. p(n1) .lt. 4.0e-6) then |
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| 258 | escout(n1) = 0.0 |
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| 259 | else |
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| 260 | do n = 1,nl-1 |
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| 261 | if (p(n1).le.pin(n).and.p(n1).ge.pin(n+1)) then |
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| 262 | nm=n |
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| 263 | np=n+1 |
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| 264 | wm=abs(pin(np)-p(n1))/(pin(nm)-pin(np)) |
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| 265 | wp=1.0 - wm |
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| 266 | endif |
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| 267 | enddo |
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| 268 | escout(n1) = escin(nm)*wm + escin(np)*wp |
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| 269 | endif |
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| 270 | enddo |
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| 271 | return |
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| 272 | end |
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| 273 | |
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| 274 | c*********************************************************************** |
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| 275 | |
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| 276 | subroutine interp3(esco1,esco2,esco3,p,nlayer, |
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| 277 | 1 esci1,esci2,esci3,pin,nl) |
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| 278 | C |
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| 279 | C subroutine to perform 3 simultaneous linear interpolations in pressure from |
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| 280 | C 1D profiles esci1-3(nl) sampled on pressure grid pin(nl) to 1D profiles |
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| 281 | C esco1-3(nlayer) on pressure grid p(ngrid,nlayer). |
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| 282 | C |
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| 283 | real esco1(nlayer),esco2(nlayer),esco3(nlayer),p(nlayer) |
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| 284 | real esci1(nl), esci2(nl), esci3(nl), pin(nl),wm,wp |
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| 285 | integer nl,nlayer,n1,n,nm,np |
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| 286 | do n1=1,nlayer |
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| 287 | if (p(n1).gt. 3.5 .or. p(n1) .lt. 4.0e-6) then |
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| 288 | esco1(n1)=0.0 |
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| 289 | esco2(n1)=0.0 |
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| 290 | esco3(n1)=0.0 |
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| 291 | else |
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| 292 | do n = 1,nl-1 |
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| 293 | if (p(n1).le.pin(n).and.p(n1).ge.pin(n+1)) then |
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| 294 | nm=n |
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| 295 | np=n+1 |
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| 296 | wm=abs(pin(np)-p(n1))/(pin(nm)-pin(np)) |
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| 297 | wp=1.0 - wm |
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| 298 | endif |
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| 299 | enddo |
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| 300 | esco1(n1) = esci1(nm)*wm + esci1(np)*wp |
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| 301 | esco2(n1) = esci2(nm)*wm + esci2(np)*wp |
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| 302 | esco3(n1) = esci3(nm)*wm + esci3(np)*wp |
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| 303 | endif |
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| 304 | enddo |
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| 305 | return |
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| 306 | end |
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