| 1 |
module regr_pr |
| 2 |
|
| 3 |
implicit none |
| 4 |
|
| 5 |
contains |
| 6 |
|
| 7 |
function regr_pr_av(v, press_in) |
| 8 |
|
| 9 |
! "regr_pr_av" stands for "regrid pressure averaging". |
| 10 |
! This function regrids a 2D latitude -- pressure variable to the |
| 11 |
! LMDZ 3D grid. |
| 12 |
! We assume that the variable is already on the LMDZ "rlatu" latitude grid. |
| 13 |
! There only remains to regrid in pressure at each horizontal |
| 14 |
! position. |
| 15 |
! The input variable does not depend on longitude, but the pressure |
| 16 |
! at LMDZ mid-layers does. |
| 17 |
! Therefore, the values on the LMDZ grid do depend on longitude. |
| 18 |
! The target horizontal LMDZ grid is the "scalar" grid: "rlonv", "rlatu". |
| 19 |
! The target vertical LMDZ grid is the grid of mid-layers. |
| 20 |
! The variable is regridded by averaging. |
| 21 |
|
| 22 |
use dimens_m, only: iim, jjm, llm |
| 23 |
use nrutil, only: assert |
| 24 |
use regr1_step_av_m, only: regr1_step_av |
| 25 |
use pressure_m, only: p3d |
| 26 |
|
| 27 |
real, intent(in):: v(:, :) |
| 28 |
! ("v(j, l)" is at latitude "rlatu(j)" and for pressure interval |
| 29 |
! "[press_in(l), press_in(l+1)]".) |
| 30 |
|
| 31 |
real, intent(in):: press_in(:) |
| 32 |
! (edges of pressure intervals, on input grid, in Pa, in strictly |
| 33 |
! increasing order) |
| 34 |
|
| 35 |
real regr_pr_av(iim + 1, jjm + 1, llm) |
| 36 |
! (variable adapted to the LMDZ grid |
| 37 |
! "regr_pr_av(i, j, l)" is at longitude "rlonv(i)", latitude |
| 38 |
! "rlatu(j)" and pressure level "pls(i, j, l)") |
| 39 |
|
| 40 |
! Variables local to the procedure: |
| 41 |
integer i, j |
| 42 |
|
| 43 |
!--------------------------------------------- |
| 44 |
|
| 45 |
call assert(size(v, 1) == jjm + 1, "regr_pr_av 1") |
| 46 |
call assert(size(press_in) == size(v, 2) + 1, "regr_pr_av 2") |
| 47 |
|
| 48 |
! Regrid in pressure by averaging a step function of pressure. |
| 49 |
|
| 50 |
! Poles ("p3d" does not depend on longitude): |
| 51 |
do j = 1, jjm + 1, jjm |
| 52 |
! Average on pressure, only for first longitude: |
| 53 |
regr_pr_av(1, j, llm:1:-1) & |
| 54 |
= regr1_step_av(v(j, :), press_in, p3d(1, j, llm+1:1:-1)) |
| 55 |
! (invert order of indices because "p3d" is decreasing) |
| 56 |
end do |
| 57 |
|
| 58 |
! Latitudes other than poles ("p3d" depends on longitude): |
| 59 |
do j = 2, jjm |
| 60 |
! Average on pressure at each longitude: |
| 61 |
do i = 1, iim |
| 62 |
regr_pr_av(i, j, llm:1:-1) & |
| 63 |
= regr1_step_av(v(j, 1:), press_in, p3d(i, j, llm+1:1:-1)) |
| 64 |
! (invert order of indices because "p3d" is decreasing) |
| 65 |
end do |
| 66 |
end do |
| 67 |
|
| 68 |
! Duplicate pole values on all longitudes: |
| 69 |
regr_pr_av(2:, 1, :) = spread(regr_pr_av(1, 1, :), dim=1, ncopies=iim) |
| 70 |
regr_pr_av(2:, jjm + 1, :) & |
| 71 |
= spread(regr_pr_av(1, jjm + 1, :), dim=1, ncopies=iim) |
| 72 |
|
| 73 |
! Duplicate first longitude to last longitude: |
| 74 |
regr_pr_av(iim + 1, 2:jjm, :) = regr_pr_av(1, 2:jjm, :) |
| 75 |
|
| 76 |
end function regr_pr_av |
| 77 |
|
| 78 |
!************************************************************ |
| 79 |
|
| 80 |
function regr_pr_int(v, press_in) |
| 81 |
|
| 82 |
! "regr_pr_int" stands for "regrid pressure interpolation". |
| 83 |
! This function regrids a 2D latitude -- pressure variable to the |
| 84 |
! LMDZ 3D grid. |
| 85 |
! We assume that the variable is already on the LMDZ latitude grid. |
| 86 |
! There only remains to regrid in pressure at each horizontal |
| 87 |
! position. |
| 88 |
! The input variable does not depend on longitude, but the pressure |
| 89 |
! at LMDZ mid-layers does. |
| 90 |
! Therefore, the values on the LMDZ grid do depend on longitude. |
| 91 |
! The target horizontal LMDZ grid is the "scalar" grid: "rlonv", "rlatu". |
| 92 |
! The target vertical LMDZ grid is the grid of mid-layers. |
| 93 |
! The variable is regridded by interpolation. |
| 94 |
|
| 95 |
use dimens_m, only: iim, jjm, llm |
| 96 |
use nrutil, only: assert |
| 97 |
use regr1_lint_m, only: regr1_lint |
| 98 |
use pressure_m, only: pls |
| 99 |
|
| 100 |
real, intent(in):: v(:, :) |
| 101 |
! ("v(j, l)" is at latitude "rlatu(j)" and pressure level "press_in(l)".) |
| 102 |
|
| 103 |
real, intent(in):: press_in(:) |
| 104 |
! (pressure levels on input grid, in Pa, in strictly increasing order) |
| 105 |
|
| 106 |
real regr_pr_int(iim + 1, jjm + 1, llm) |
| 107 |
! (variable adapted to the LMDZ grid |
| 108 |
! "regr_pr_int(i, j, l)" is at longitude "rlonv(i)", latitude |
| 109 |
! "rlatu(j)" and pressure level "pls(i, j, l)") |
| 110 |
|
| 111 |
! Variables local to the procedure: |
| 112 |
integer i, j |
| 113 |
|
| 114 |
!--------------------------------------------- |
| 115 |
|
| 116 |
call assert(size(v, 1) == jjm + 1, "regr_pr_int 1") |
| 117 |
call assert(size(press_in) == size(v, 2), "regr_pr_int 2") |
| 118 |
|
| 119 |
! Regrid in pressure by linear interpolation |
| 120 |
|
| 121 |
! Poles ("pls" does not depend on longitude): |
| 122 |
do j = 1, jjm + 1, jjm |
| 123 |
! Interpolate in pressure, only for first longitude: |
| 124 |
regr_pr_int(1, j, llm:1:-1) & |
| 125 |
= regr1_lint(v(j, :), press_in, pls(1, j, llm:1:-1)) |
| 126 |
! (invert order of indices because "pls" is decreasing) |
| 127 |
end do |
| 128 |
|
| 129 |
! Latitudes other than poles ("pls" depends on longitude): |
| 130 |
do j = 2, jjm |
| 131 |
! Average on pressure at each longitude: |
| 132 |
do i = 1, iim |
| 133 |
regr_pr_int(i, j, llm:1:-1) & |
| 134 |
= regr1_lint(v(j, :), press_in, pls(i, j, llm:1:-1)) |
| 135 |
! (invert order of indices because "pls" is decreasing) |
| 136 |
end do |
| 137 |
end do |
| 138 |
|
| 139 |
! Duplicate pole values on all longitudes: |
| 140 |
regr_pr_int(2:, 1, :) & |
| 141 |
= spread(regr_pr_int(1, 1, :), dim=1, ncopies=iim) |
| 142 |
regr_pr_int(2:, jjm + 1, :) & |
| 143 |
= spread(regr_pr_int(1, jjm + 1, :), dim=1, ncopies=iim) |
| 144 |
|
| 145 |
! Duplicate first longitude to last longitude: |
| 146 |
regr_pr_int(iim + 1, 2:jjm, :) = regr_pr_int(1, 2:jjm, :) |
| 147 |
|
| 148 |
end function regr_pr_int |
| 149 |
|
| 150 |
end module regr_pr |
Parent Directory
| 
Revision Log