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module ozonecm_m |
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! $Header: /home/cvsroot/LMDZ4/libf/phylmd/ozonecm.F,v 1.3 2005/06/06 13:16:33 fairhead Exp $ |
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IMPLICIT NONE |
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SUBROUTINE ozonecm(rjour, rlat, paprs, o3) |
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use dimens_m |
contains |
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use dimphy |
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use clesphys |
function ozonecm(rjour, paprs) |
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use YOMCST |
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IMPLICIT none |
! From phylmd/ozonecm.F, version 1.3 2005/06/06 13:16:33 |
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C |
|
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C The ozone climatology is based on an analytic formula which fits the |
! The ozone climatology is based on an analytic formula which fits the |
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C Krueger and Mintzner (1976) profile, as well as the variations with |
! Krueger and Mintzner (1976) profile, as well as the variations with |
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C altitude and latitude of the maximum ozone concentrations and the total |
! altitude and latitude of the maximum ozone concentrations and the total |
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C column ozone concentration of Keating and Young (1986). The analytic |
! column ozone concentration of Keating and Young (1986). The analytic |
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C formula have been established by J-F Royer (CRNM, Meteo France), who |
! formula have been established by J.-F. Royer (CRNM, Meteo France), who |
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C also provided us the code. |
! also provided us the code. |
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C |
|
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C A. J. Krueger and R. A. Minzner, A Mid-Latitude Ozone Model for the |
! A. J. Krueger and R. A. Minzner, A Mid-Latitude Ozone Model for the |
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C 1976 U.S. Standard Atmosphere, J. Geophys. Res., 81, 4477, (1976). |
! 1976 U.S. Standard Atmosphere, J. Geophys. Res., 81, 4477, (1976). |
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C |
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C Keating, G. M. and D. F. Young, 1985: Interim reference models for the |
! Keating, G. M. and D. F. Young, 1985: Interim reference models for the |
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C middle atmosphere, Handbook for MAP, vol. 16, 205-229. |
! middle atmosphere, Handbook for MAP, vol. 16, 205-229. |
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C |
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use dimens_m, only: llm |
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real, intent(in):: rjour |
USE dimphy, ONLY : klon |
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REAL, intent(in):: rlat(klon) |
use nr_util, only: assert, pi |
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real, intent(in):: paprs(klon,klev+1) |
use phyetat0_m, only: rlat |
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REAL, intent(out):: o3(klon,klev) ! ozone concentration in kg/kg |
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REAL, INTENT (IN) :: rjour |
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REAL tozon |
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real pi, pl |
REAL, INTENT (IN) :: paprs(:, :) ! (klon, llm+1) |
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INTEGER i, k |
! pression pour chaque inter-couche, en Pa |
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C---------------------------------------------------------- |
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REAL field(klon,klev+1) |
REAL ozonecm(klon, llm) |
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REAL ps |
! "ozonecm(j, k)" is the column-density of ozone in cell "(j, k)", that is |
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PARAMETER (ps=101325.0) |
! between interface "k" and interface "k + 1", in kDU. |
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REAL an, unit, zo3q3 |
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SAVE an, unit, zo3q3 |
! Local: |
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REAL mu,gms, zslat, zsint, zcost, z, ppm, qpm, a |
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REAL asec, bsec, aprim, zo3a3 |
REAL tozon ! equivalent pressure of ozone above interface "k", in Pa |
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C---------------------------------------------------------- |
INTEGER i, k |
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c data an /365.25/ (meteo) |
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DATA an /360.00/ |
REAL field(llm+1) |
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DATA unit /2.1415e-05/ |
! "field(k)" is the column-density of ozone between interface |
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DATA zo3q3 /4.0e-08/ |
! "k" and the top of the atmosphere (interface "llm + 1"), in kDU. |
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pi = 4.0 * ATAN(1.0) |
real, PARAMETER:: ps = 101325. |
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DO k = 1, klev |
REAL, parameter:: an = 360., zo3q3 = 4E-8 |
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DO i = 1, klon |
real, parameter:: zo3a3 = zo3q3 / ps / 2. |
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zslat = SIN(pi/180.*rlat(i)) |
REAL, parameter:: dobson_unit = 2.1415E-5 ! in kg m-2 |
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zsint = SIN(2.*pi*(rjour+15.)/an) |
REAL gms, slat, slat2, sint, cost, ppm, a |
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zcost = COS(2.*pi*(rjour+15.)/an) |
REAL asec, bsec, aprim |
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z = 0.0531+zsint*(-0.001595+0.009443*zslat) + |
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. zcost*(-0.001344-0.00346*zslat) + |
!---------------------------------------------------------- |
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. zslat**2*(.056222+zslat**2*(-.037609 |
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. +.012248*zsint+.00521*zcost+.008890*zslat)) |
call assert(shape(paprs) == (/klon, llm + 1/), "ozonecm") |
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zo3a3 = zo3q3/ps/2. |
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z = z-zo3q3*ps |
sint = sin(2 * pi * (rjour + 15.) / an) |
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gms = z |
cost = cos(2 * pi * (rjour + 15.) / an) |
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mu = ABS(sin(pi/180.*rlat(i))) |
field(llm + 1) = 0. |
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ppm = 800.-(500.*zslat+150.*zcost)*zslat |
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qpm = 1.74e-5-(7.5e-6*zslat+1.7e-6*zcost)*zslat |
DO i = 1, klon |
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bsec = 2650.+5000.*zslat**2 |
slat = sin(pi / 180. * rlat(i)) |
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a = 4.0*(bsec)**(3./2.)*(ppm)**(3./2.)*(1.0+(bsec/ps)**(3./2.)) |
slat2 = slat * slat |
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a = a/(bsec**(3./2.)+ppm**(3./2.))**2 |
gms = 0.0531 + sint * (- 0.001595 + 0.009443 * slat) + cost & |
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aprim = (2.666666*qpm*ppm-a*gms)/(1.0-a) |
* (- 0.001344 - 0.00346 * slat) + slat2 * (0.056222 + slat2 & |
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aprim = amax1(0.,aprim) |
* (- 0.037609 + 0.012248 * sint + 0.00521 * cost + 0.00889 & |
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asec = (gms-aprim)*(1.0+(bsec/ps)**(3./2.)) |
* slat)) - zo3q3 * ps |
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asec = AMAX1(0.0,asec) |
ppm = 800. - 500. * slat2 - 150. * cost * slat |
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aprim = gms-asec/(1.+(bsec/ps)**(3./2.)) |
bsec = 2650. + 5000. * slat2 |
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pl = paprs(i,k) |
a = 4. * bsec**1.5 * ppm**1.5 * (1. + (bsec / ps)**1.5) & |
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tozon = aprim/(1.+3.*(ppm/pl)**2)+asec/(1.+(bsec/pl)**(3./2.)) |
/ (bsec**1.5 + ppm**1.5)**2 |
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. + zo3a3*pl*pl |
aprim = max(0., (2.666666 * (1.74E-5 - 7.5E-6 * slat2 & |
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tozon = tozon / 9.81 ! en kg/m**2 |
- 1.7E-6 * cost * slat) * ppm - a * gms) / (1. - a)) |
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tozon = tozon / unit ! en kg/m**2 > u dobson (10e-5 m) |
asec = max(0., (gms - aprim) * (1. + (bsec / ps)**1.5)) |
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tozon = tozon / 1000. ! en cm |
aprim = gms - asec / (1. + (bsec / ps)**1.5) |
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field(i,k) = tozon |
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ENDDO |
DO k = 1, llm |
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ENDDO |
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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DO i = 1, klon |
+ zo3a3 * paprs(i, k) * paprs(i, k) |
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field(i,klev+1) = 0.0 |
! Convert from Pa to kDU: |
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ENDDO |
field(k) = tozon / 9.81 / dobson_unit / 1e3 |
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DO k = 1, klev |
END DO |
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DO i = 1, klon |
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o3(i,k) = field(i,k) - field(i,k+1) |
forall (k = 1: llm) ozonecm(i, k) = field(k) - field(k + 1) |
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IF (.not. bug_ozone) then |
END DO |
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c convert o3 into kg/kg |
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o3(i,k)=MAX(o3(i,k),1.0e-12)*RG/46.6968 |
ozonecm = max(ozonecm, 1e-12) |
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. /(paprs(i,k)-paprs(i,k+1)) |
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ENDIF |
END function ozonecm |
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ENDDO |
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ENDDO |
end module ozonecm_m |
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RETURN |
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END |
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