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module ozonecm_m |
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IMPLICIT NONE |
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contains |
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function ozonecm(rjour, paprs) |
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! From phylmd/ozonecm.F, version 1.3 2005/06/06 13:16:33 |
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! The ozone climatology is based on an analytic formula which fits the |
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! Krueger and Mintzner (1976) profile, as well as the variations with |
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! altitude and latitude of the maximum ozone concentrations and the total |
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! column ozone concentration of Keating and Young (1986). The analytic |
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! formula have been established by J.-F. Royer (CRNM, Meteo France), who |
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! also provided us the code. |
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! A. J. Krueger and R. A. Minzner, A Mid-Latitude Ozone Model for the |
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! 1976 U. S. Standard Atmosphere, J. Geophys. Res., 81, 4477 (1976). |
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! Keating 1985 k1032 |
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use nr_util, only: assert, twopi, deg_to_rad |
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use dimensions, only: llm |
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use phyetat0_m, only: rlat |
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REAL, INTENT (IN) :: rjour |
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REAL, INTENT (IN) :: paprs(:, :) ! (klon, llm + 1) |
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! pression pour chaque inter-couche, en Pa |
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REAL ozonecm(size(paprs, 1), llm) ! (klon, llm) |
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! "ozonecm(j, k)" is the column-density of ozone in cell "(j, k)", that is |
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! between interface "k" and interface "k + 1", in kDU. |
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! Local: |
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REAL tozon ! equivalent pressure of ozone above interface "k", in Pa |
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INTEGER i, k |
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REAL field(llm + 1) |
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! "field(k)" is the column-density of ozone between interface |
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! "k" and the top of the atmosphere (interface "llm + 1"), in kDU. |
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real, PARAMETER:: ps = 101325. |
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REAL, parameter:: an = 360., zo3q3 = 4E-8 |
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real, parameter:: zo3a3 = zo3q3 / ps / 2. |
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REAL, parameter:: dobson_unit = 2.1415E-5 ! in kg m-2 |
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REAL gms, slat, slat2, sint, cost, ppm, a |
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REAL asec, bsec, aprim |
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!---------------------------------------------------------- |
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call assert(size(paprs, 2) == llm + 1, "ozonecm") |
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sint = sin(twopi * (rjour + 15.) / an) |
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cost = cos(twopi * (rjour + 15.) / an) |
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field(llm + 1) = 0. |
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DO i = 1, size(paprs, 1) |
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slat = sin(deg_to_rad * rlat(i)) |
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slat2 = slat * slat |
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gms = 0.0531 + sint * (- 0.001595 + 0.009443 * slat) + cost & |
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* (- 0.001344 - 0.00346 * slat) + slat2 * (0.056222 + slat2 & |
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* (- 0.037609 + 0.012248 * sint + 0.00521 * cost + 0.00889 & |
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* slat)) - zo3q3 * ps |
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ppm = 800. - 500. * slat2 - 150. * cost * slat |
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bsec = 2650. + 5000. * slat2 |
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a = 4. * bsec**1.5 * ppm**1.5 * (1. + (bsec / ps)**1.5) & |
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/ (bsec**1.5 + ppm**1.5)**2 |
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asec = max(0., (gms - max(0., (2.666666 * (1.74E-5 - 7.5E-6 * slat2 & |
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- 1.7E-6 * cost * slat) * ppm - a * gms) / (1. - a))) & |
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* (1. + (bsec / ps)**1.5)) |
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aprim = gms - asec / (1. + (bsec / ps)**1.5) |
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DO k = 1, llm |
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tozon = aprim / (1. + 3. * (ppm / paprs(i, k))**2) & |
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+ asec / (1. + (bsec / paprs(i, k))**1.5) & |
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+ zo3a3 * paprs(i, k) * paprs(i, k) |
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! Convert from Pa to kDU: |
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field(k) = tozon / 9.81 / dobson_unit / 1e3 |
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END DO |
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forall (k = 1: llm) ozonecm(i, k) = field(k) - field(k + 1) |
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END DO |
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ozonecm = max(ozonecm, 1e-12) |
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END function ozonecm |
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end module ozonecm_m |