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module regr_pr |
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|
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implicit none |
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|
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contains |
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|
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function regr_pr_av(v, press_in) |
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|
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! "regr_pr_av" stands for "regrid pressure averaging". |
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! This function regrids a 2D latitude -- pressure variable to the |
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! LMDZ 3D grid. |
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! The target horizontal LMDZ grid is the "scalar" grid: "rlonv", "rlatu". |
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! The target vertical LMDZ grid is the grid of layer boundaries. |
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! We assume that the variable is already on the LMDZ "rlatu" latitude grid. |
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! There only remains to regrid in pressure at each horizontal |
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! position. |
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! The input variable does not depend on longitude, but the pressure |
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! at LMDZ layers does. |
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! Therefore, the values on the LMDZ grid do depend on longitude. |
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! The variable is regridded by averaging. |
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|
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use dimens_m, only: iim, jjm, llm |
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use nrutil, only: assert |
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use regr1_step_av_m, only: regr1_step_av |
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use pressure_var, only: p3d |
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|
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real, intent(in):: v(:, :) |
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! ("v(j, l)" is at latitude "rlatu(j)" and for pressure interval |
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! "[press_in(l), press_in(l+1)]".) |
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|
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real, intent(in):: press_in(:) |
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! (edges of pressure intervals, on input grid, in Pa, in strictly |
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! increasing order) |
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|
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real regr_pr_av(iim + 1, jjm + 1, llm) |
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! (variable adapted to the LMDZ grid |
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! "regr_pr_av(i, j, l)" is at longitude "rlonv(i)", latitude |
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! "rlatu(j)" and in pressure interval "[p3d(i, j, l+1), p3d(i, j, l)]") |
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|
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! Variables local to the procedure: |
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integer i, j |
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|
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!--------------------------------------------- |
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|
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call assert(size(v, 1) == jjm + 1, "regr_pr_av 1") |
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call assert(size(press_in) == size(v, 2) + 1, "regr_pr_av 2") |
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|
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! Regrid in pressure by averaging a step function of pressure. |
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|
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! Poles ("p3d" does not depend on longitude): |
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do j = 1, jjm + 1, jjm |
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! Average on pressure, only for first longitude: |
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regr_pr_av(1, j, llm:1:-1) & |
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= regr1_step_av(v(j, :), press_in, p3d(1, j, llm+1:1:-1)) |
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! (invert order of indices because "p3d" is decreasing) |
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end do |
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|
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! Latitudes other than poles ("p3d" depends on longitude): |
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do j = 2, jjm |
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! Average on pressure at each longitude: |
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do i = 1, iim |
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regr_pr_av(i, j, llm:1:-1) & |
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= regr1_step_av(v(j, 1:), press_in, p3d(i, j, llm+1:1:-1)) |
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! (invert order of indices because "p3d" is decreasing) |
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end do |
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end do |
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|
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! Duplicate pole values on all longitudes: |
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regr_pr_av(2:, 1, :) = spread(regr_pr_av(1, 1, :), dim=1, ncopies=iim) |
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regr_pr_av(2:, jjm + 1, :) & |
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= spread(regr_pr_av(1, jjm + 1, :), dim=1, ncopies=iim) |
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|
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! Duplicate first longitude to last longitude: |
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regr_pr_av(iim + 1, 2:jjm, :) = regr_pr_av(1, 2:jjm, :) |
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|
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end function regr_pr_av |
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|
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!************************************************************ |
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|
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function regr_pr_int(v, press_in) |
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|
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! "regr_pr_int" stands for "regrid pressure interpolation". |
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! This function regrids a 2D latitude -- pressure variable to the |
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! LMDZ 3D grid. |
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! The target horizontal LMDZ grid is the "scalar" grid: "rlonv", "rlatu". |
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! The target vertical LMDZ grid is the grid of mid-layers. |
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! We assume that the variable is already on the LMDZ latitude grid. |
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! There only remains to regrid in pressure at each horizontal |
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! position. |
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! The input variable does not depend on longitude, but the pressure |
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! at LMDZ mid-layers does. |
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! Therefore, the values on the LMDZ grid do depend on longitude. |
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! The variable is regridded by interpolation. |
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|
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use dimens_m, only: iim, jjm, llm |
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use nrutil, only: assert |
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use regr1_lint_m, only: regr1_lint |
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use pressure_var, only: pls |
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|
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real, intent(in):: v(:, :) |
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! ("v(j, l)" is at latitude "rlatu(j)" and pressure level "press_in(l)".) |
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|
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real, intent(in):: press_in(:) |
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! (pressure levels on input grid, in Pa, in strictly increasing order) |
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|
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real regr_pr_int(iim + 1, jjm + 1, llm) |
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! (variable adapted to the LMDZ grid |
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! "regr_pr_int(i, j, l)" is at longitude "rlonv(i)", latitude |
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! "rlatu(j)" and pressure level "pls(i, j, l)") |
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|
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! Variables local to the procedure: |
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integer i, j |
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|
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!--------------------------------------------- |
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|
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call assert(size(v, 1) == jjm + 1, "regr_pr_int 1") |
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call assert(size(press_in) == size(v, 2), "regr_pr_int 2") |
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|
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! Regrid in pressure by linear interpolation |
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|
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! Poles ("pls" does not depend on longitude): |
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do j = 1, jjm + 1, jjm |
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! Interpolate in pressure, only for first longitude: |
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regr_pr_int(1, j, llm:1:-1) & |
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= regr1_lint(v(j, :), press_in, pls(1, j, llm:1:-1)) |
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! (invert order of indices because "pls" is decreasing) |
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end do |
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|
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! Latitudes other than poles ("pls" depends on longitude): |
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do j = 2, jjm |
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! Average on pressure at each longitude: |
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do i = 1, iim |
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regr_pr_int(i, j, llm:1:-1) & |
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= regr1_lint(v(j, :), press_in, pls(i, j, llm:1:-1)) |
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! (invert order of indices because "pls" is decreasing) |
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end do |
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end do |
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|
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! Duplicate pole values on all longitudes: |
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regr_pr_int(2:, 1, :) & |
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= spread(regr_pr_int(1, 1, :), dim=1, ncopies=iim) |
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regr_pr_int(2:, jjm + 1, :) & |
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= spread(regr_pr_int(1, jjm + 1, :), dim=1, ncopies=iim) |
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|
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! Duplicate first longitude to last longitude: |
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regr_pr_int(iim + 1, 2:jjm, :) = regr_pr_int(1, 2:jjm, :) |
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|
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end function regr_pr_int |
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|
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end module regr_pr |
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