| 16 |
! also provided us the code. |
! also provided us the code. |
| 17 |
|
|
| 18 |
! 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 |
| 19 |
! 1976 U.S. Standard Atmosphere, J. Geophys. Res., 81, 4477, (1976). |
! 1976 U. S. Standard Atmosphere, J. Geophys. Res., 81, 4477 (1976). |
| 20 |
|
|
| 21 |
! Keating, G. M. and D. F. Young, 1985: Interim reference models for the |
! Keating, G. M. and D. F. Young, 1985: Interim reference ozone |
| 22 |
! middle atmosphere, Handbook for MAP, vol. 16, 205-229. |
! models for the middle atmosphere, Handbook for MAP, vol. 16, |
| 23 |
|
! 205-229. |
| 24 |
|
|
| 25 |
use dimens_m, only: llm |
use nr_util, only: assert, twopi, deg_to_rad |
| 26 |
USE dimphy, ONLY : klon |
|
| 27 |
use nr_util, only: assert, pi |
use dimensions, only: llm |
| 28 |
use phyetat0_m, only: rlat |
use phyetat0_m, only: rlat |
| 29 |
|
|
| 30 |
REAL, INTENT (IN) :: rjour |
REAL, INTENT (IN) :: rjour |
|
REAL, INTENT (IN) :: paprs(:, :) ! (klon, llm+1) |
|
| 31 |
|
|
| 32 |
REAL ozonecm(klon, llm) |
REAL, INTENT (IN) :: paprs(:, :) ! (klon, llm + 1) |
| 33 |
|
! pression pour chaque inter-couche, en Pa |
| 34 |
|
|
| 35 |
|
REAL ozonecm(size(paprs, 1), llm) ! (klon, llm) |
| 36 |
! "ozonecm(j, k)" is the column-density of ozone in cell "(j, k)", that is |
! "ozonecm(j, k)" is the column-density of ozone in cell "(j, k)", that is |
| 37 |
! between interface "k" and interface "k + 1", in kDU. |
! between interface "k" and interface "k + 1", in kDU. |
| 38 |
|
|
| 39 |
! Local: |
! Local: |
| 40 |
|
|
| 41 |
REAL tozon, pl |
REAL tozon ! equivalent pressure of ozone above interface "k", in Pa |
| 42 |
INTEGER i, k |
INTEGER i, k |
| 43 |
|
|
| 44 |
REAL field(klon, llm+1) |
REAL field(llm + 1) |
| 45 |
! "field(:, k)" is the column-density of ozone between interface |
! "field(k)" is the column-density of ozone between interface |
| 46 |
! "k" and the top of the atmosphere (interface "llm + 1"), in kDU. |
! "k" and the top of the atmosphere (interface "llm + 1"), in kDU. |
| 47 |
|
|
| 48 |
real, PARAMETER:: ps=101325. |
real, PARAMETER:: ps = 101325. |
| 49 |
REAL, parameter:: an = 360., unit = 2.1415E-5, zo3q3 = 4E-8 |
REAL, parameter:: an = 360., zo3q3 = 4E-8 |
| 50 |
REAL gms, zslat, zsint, zcost, z, ppm, qpm, a |
real, parameter:: zo3a3 = zo3q3 / ps / 2. |
| 51 |
REAL asec, bsec, aprim, zo3a3 |
REAL, parameter:: dobson_unit = 2.1415E-5 ! in kg m-2 |
| 52 |
|
REAL gms, slat, slat2, sint, cost, ppm, a |
| 53 |
|
REAL asec, bsec, aprim |
| 54 |
|
|
| 55 |
!---------------------------------------------------------- |
!---------------------------------------------------------- |
| 56 |
|
|
| 57 |
call assert(shape(paprs) == (/klon, llm + 1/), "ozonecm") |
call assert(size(paprs, 2) == llm + 1, "ozonecm") |
| 58 |
|
|
| 59 |
DO k = 1, llm |
sint = sin(twopi * (rjour + 15.) / an) |
| 60 |
DO i = 1, klon |
cost = cos(twopi * (rjour + 15.) / an) |
| 61 |
zslat = sin(pi / 180. * rlat(i)) |
field(llm + 1) = 0. |
| 62 |
zsint = sin(2.*pi*(rjour+15.)/an) |
|
| 63 |
zcost = cos(2.*pi*(rjour+15.)/an) |
DO i = 1, size(paprs, 1) |
| 64 |
z = 0.0531 + zsint * (-0.001595+0.009443*zslat) & |
slat = sin(deg_to_rad * rlat(i)) |
| 65 |
+ zcost * (-0.001344-0.00346*zslat) & |
slat2 = slat * slat |
| 66 |
+ zslat**2 * (.056222 + zslat**2 & |
gms = 0.0531 + sint * (- 0.001595 + 0.009443 * slat) + cost & |
| 67 |
* (-.037609+.012248*zsint+.00521*zcost+.008890*zslat)) |
* (- 0.001344 - 0.00346 * slat) + slat2 * (0.056222 + slat2 & |
| 68 |
zo3a3 = zo3q3/ps/2. |
* (- 0.037609 + 0.012248 * sint + 0.00521 * cost + 0.00889 & |
| 69 |
z = z - zo3q3*ps |
* slat)) - zo3q3 * ps |
| 70 |
gms = z |
ppm = 800. - 500. * slat2 - 150. * cost * slat |
| 71 |
ppm = 800. - (500.*zslat+150.*zcost)*zslat |
bsec = 2650. + 5000. * slat2 |
| 72 |
qpm = 1.74E-5 - (7.5E-6*zslat+1.7E-6*zcost)*zslat |
a = 4. * bsec**1.5 * ppm**1.5 * (1. + (bsec / ps)**1.5) & |
| 73 |
bsec = 2650. + 5000.*zslat**2 |
/ (bsec**1.5 + ppm**1.5)**2 |
| 74 |
a = 4.0*(bsec)**(3./2.)*(ppm)**(3./2.)*(1.0+(bsec/ps)**(3./2.)) |
asec = max(0., (gms - max(0., (2.666666 * (1.74E-5 - 7.5E-6 * slat2 & |
| 75 |
a = a/(bsec**(3./2.)+ppm**(3./2.))**2 |
- 1.7E-6 * cost * slat) * ppm - a * gms) / (1. - a))) & |
| 76 |
aprim = (2.666666*qpm*ppm-a*gms)/(1.0-a) |
* (1. + (bsec / ps)**1.5)) |
| 77 |
aprim = amax1(0., aprim) |
aprim = gms - asec / (1. + (bsec / ps)**1.5) |
| 78 |
asec = (gms-aprim)*(1.0+(bsec/ps)**(3./2.)) |
|
| 79 |
asec = amax1(0.0, asec) |
DO k = 1, llm |
| 80 |
aprim = gms - asec/(1.+(bsec/ps)**(3./2.)) |
tozon = aprim / (1. + 3. * (ppm / paprs(i, k))**2) & |
| 81 |
pl = paprs(i, k) |
+ asec / (1. + (bsec / paprs(i, k))**1.5) & |
| 82 |
tozon = aprim / (1. + 3. * (ppm / pl)**2) & |
+ zo3a3 * paprs(i, k) * paprs(i, k) |
|
+ asec / (1. + (bsec / pl)**(3./2.)) + zo3a3 * pl * pl |
|
| 83 |
! Convert from Pa to kDU: |
! Convert from Pa to kDU: |
| 84 |
field(i, k) = tozon / 9.81 / unit / 1e3 |
field(k) = tozon / 9.81 / dobson_unit / 1e3 |
| 85 |
END DO |
END DO |
| 86 |
|
|
| 87 |
|
forall (k = 1: llm) ozonecm(i, k) = field(k) - field(k + 1) |
| 88 |
END DO |
END DO |
| 89 |
|
|
| 90 |
field(:, llm+1) = 0. |
ozonecm = max(ozonecm, 1e-12) |
|
forall (k = 1: llm) ozonecm(:, k) = field(:, k) - field(:, k+1) |
|
| 91 |
|
|
| 92 |
END function ozonecm |
END function ozonecm |
| 93 |
|
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