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module cv30_unsat_m |
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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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SUBROUTINE cv30_unsat(icb, inb, t, rr, rs, gz, u, v, p, ph, th, tv, lv, & |
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cpn, ep, sigp, clw, m, ment, elij, delt, plcl, mp, rp, up, vp, wt, & |
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water, evap, b) |
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|
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use cv30_param_m, only: nl, sigd |
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use cvthermo, only: cpd, ginv, grav |
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USE dimphy, ONLY: klon, klev |
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|
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! inputs: |
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integer, intent(in):: icb(:), inb(:) ! (ncum) |
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real t(klon, klev), rr(klon, klev), rs(klon, klev) |
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real gz(klon, klev) |
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real u(klon, klev), v(klon, klev) |
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real p(klon, klev), ph(klon, klev + 1) |
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real th(klon, klev) |
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real tv(klon, klev) |
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real lv(klon, klev) |
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real cpn(klon, klev) |
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real, intent(in):: ep(klon, klev), sigp(klon, klev), clw(klon, klev) |
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real m(klon, klev), ment(klon, klev, klev), elij(klon, klev, klev) |
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real, intent(in):: delt |
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real plcl(klon) |
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|
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! outputs: |
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real mp(klon, klev), rp(klon, klev), up(klon, klev), vp(klon, klev) |
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real wt(klon, klev), water(klon, klev), evap(klon, klev) |
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real, intent(out):: b(:, :) ! (ncum, nl) |
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|
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! Local: |
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integer ncum |
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integer i, j, il, num1 |
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real tinv, delti |
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real awat, afac, afac1, afac2, bfac |
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real pr1, pr2, sigt, b6, c6, revap, tevap, delth |
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real amfac, amp2, xf, tf, fac2, ur, sru, fac, d, af, bf |
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real ampmax |
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real lvcp(klon, klev) |
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real wdtrain(size(icb)) |
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logical lwork(size(icb)) |
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|
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!------------------------------------------------------ |
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|
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ncum = size(icb) |
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delti = 1. / delt |
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tinv = 1. / 3. |
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mp = 0. |
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|
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do i = 1, nl |
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do il = 1, ncum |
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mp(il, i) = 0. |
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rp(il, i) = rr(il, i) |
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up(il, i) = u(il, i) |
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vp(il, i) = v(il, i) |
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wt(il, i) = 0.001 |
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water(il, i) = 0. |
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evap(il, i) = 0. |
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b(il, i) = 0. |
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lvcp(il, i) = lv(il, i) / cpn(il, i) |
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enddo |
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enddo |
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|
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! check whether ep(inb) = 0, if so, skip precipitating |
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! downdraft calculation |
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forall (il = 1:ncum) lwork(il) = ep(il, inb(il)) >= 1e-4 |
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|
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wdtrain = 0. |
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|
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downdraft_loop: DO i = nl - 1, 1, - 1 |
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num1 = 0 |
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|
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do il = 1, ncum |
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if (i <= inb(il) .and. lwork(il)) num1 = num1 + 1 |
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enddo |
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|
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if (num1 > 0) then |
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! integrate liquid water equation to find condensed water |
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! and condensed water flux |
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|
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! calculate detrained precipitation |
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|
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do il = 1, ncum |
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if (i <= inb(il) .and. lwork(il)) then |
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wdtrain(il) = grav * ep(il, i) * m(il, i) * clw(il, i) |
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endif |
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enddo |
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|
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if (i > 1) then |
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do j = 1, i - 1 |
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do il = 1, ncum |
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if (i <= inb(il) .and. lwork(il)) then |
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awat = elij(il, j, i) - (1. - ep(il, i)) * clw(il, i) |
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awat = max(awat, 0.) |
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wdtrain(il) = wdtrain(il) + grav * awat * ment(il, j, i) |
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endif |
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enddo |
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end do |
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endif |
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|
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! find rain water and evaporation using provisional |
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! estimates of rp(i) and rp(i - 1) |
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|
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do il = 1, ncum |
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if (i <= inb(il) .and. lwork(il)) then |
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wt(il, i) = 45. |
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|
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if (i < inb(il)) then |
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rp(il, i) = rp(il, i + 1) + (cpd * (t(il, i + 1) & |
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- t(il, i)) + gz(il, i + 1) - gz(il, i)) / lv(il, i) |
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rp(il, i) = 0.5 * (rp(il, i) + rr(il, i)) |
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endif |
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|
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rp(il, i) = max(rp(il, i), 0.) |
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rp(il, i) = min(rp(il, i), rs(il, i)) |
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rp(il, inb(il)) = rr(il, inb(il)) |
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|
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if (i == 1) then |
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afac = p(il, 1) * (rs(il, 1) - rp(il, 1)) & |
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/ (1e4 + 2000. * p(il, 1) * rs(il, 1)) |
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else |
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rp(il, i - 1) = rp(il, i) + (cpd * (t(il, i) & |
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- t(il, i - 1)) + gz(il, i) - gz(il, i - 1)) / lv(il, i) |
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rp(il, i - 1) = 0.5 * (rp(il, i - 1) + rr(il, i - 1)) |
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rp(il, i - 1) = min(rp(il, i - 1), rs(il, i - 1)) |
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rp(il, i - 1) = max(rp(il, i - 1), 0.) |
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afac1 = p(il, i) * (rs(il, i) - rp(il, i)) & |
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/ (1e4 + 2000. * p(il, i) * rs(il, i)) |
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afac2 = p(il, i - 1) * (rs(il, i - 1) - rp(il, i - 1)) & |
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/ (1e4 + 2000. * p(il, i - 1) * rs(il, i - 1)) |
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afac = 0.5 * (afac1 + afac2) |
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endif |
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|
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if (i == inb(il)) afac = 0. |
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afac = max(afac, 0.) |
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bfac = 1. / (sigd * wt(il, i)) |
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|
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! prise en compte de la variation progressive de sigt dans |
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! les couches icb et icb - 1: |
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! pour plcl < ph(i + 1), pr1 = 0 & pr2 = 1 |
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! pour plcl > ph(i), pr1 = 1 & pr2 = 0 |
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! pour ph(i + 1) < plcl < ph(i), pr1 est la proportion a cheval |
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! sur le nuage, et pr2 est la proportion sous la base du |
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! nuage. |
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pr1 = (plcl(il) - ph(il, i + 1)) / (ph(il, i) - ph(il, i + 1)) |
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pr1 = max(0., min(1., pr1)) |
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pr2 = (ph(il, i) - plcl(il)) / (ph(il, i) - ph(il, i + 1)) |
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pr2 = max(0., min(1., pr2)) |
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sigt = sigp(il, i) * pr1 + pr2 |
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|
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b6 = bfac * 50. * sigd * (ph(il, i) - ph(il, i + 1)) * sigt & |
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* afac |
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c6 = water(il, i + 1) + bfac * wdtrain(il) - 50. * sigd * bfac & |
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* (ph(il, i) - ph(il, i + 1)) * evap(il, i + 1) |
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if (c6 > 0.) then |
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revap = 0.5 * (- b6 + sqrt(b6 * b6 + 4. * c6)) |
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evap(il, i) = sigt * afac * revap |
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water(il, i) = revap * revap |
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else |
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evap(il, i) = - evap(il, i + 1) + 0.02 * (wdtrain(il) & |
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+ sigd * wt(il, i) * water(il, i + 1)) & |
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/ (sigd * (ph(il, i) - ph(il, i + 1))) |
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end if |
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|
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! calculate precipitating downdraft mass flux under |
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! hydrostatic approximation |
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|
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if (i /= 1) then |
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tevap = max(0., evap(il, i)) |
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delth = max(0.001, (th(il, i) - th(il, i - 1))) |
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mp(il, i) = 100. * ginv * lvcp(il, i) * sigd * tevap & |
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* (p(il, i - 1) - p(il, i)) / delth |
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|
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! If hydrostatic assumption fails, solve cubic |
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! difference equation for downdraft theta and mass |
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! flux from two simultaneous differential equations |
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|
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amfac = sigd * sigd * 70. * ph(il, i) & |
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* (p(il, i - 1) - p(il, i)) & |
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* (th(il, i) - th(il, i - 1)) / (tv(il, i) * th(il, i)) |
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amp2 = abs(mp(il, i + 1) * mp(il, i + 1) - mp(il, i) & |
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* mp(il, i)) |
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|
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if (amp2 > 0.1 * amfac) then |
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xf = 100. * sigd * sigd * sigd * (ph(il, i) & |
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- ph(il, i + 1)) |
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tf = b(il, i) - 5. * (th(il, i) - th(il, i - 1)) & |
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* t(il, i) / (lvcp(il, i) * sigd * th(il, i)) |
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af = xf * tf + mp(il, i + 1) * mp(il, i + 1) * tinv |
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bf = 2. * (tinv * mp(il, i + 1))**3 + tinv & |
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* mp(il, i + 1) * xf * tf + 50. * (p(il, i - 1) & |
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- p(il, i)) * xf * tevap |
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fac2 = 1. |
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if (bf < 0.) fac2 = - 1. |
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bf = abs(bf) |
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ur = 0.25 * bf * bf - af * af * af * tinv * tinv * tinv |
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|
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if (ur >= 0.) then |
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sru = sqrt(ur) |
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fac = 1. |
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if ((0.5 * bf - sru) < 0.) fac = - 1. |
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mp(il, i) = mp(il, i + 1) * tinv & |
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+ (0.5 * bf + sru)**tinv & |
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+ fac * (abs(0.5 * bf - sru))**tinv |
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else |
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d = atan(2. * sqrt(- ur) / (bf + 1e-28)) |
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if (fac2 < 0.)d = 3.14159 - d |
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mp(il, i) = mp(il, i + 1) * tinv + 2. & |
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* sqrt(af * tinv) * cos(d * tinv) |
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endif |
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|
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mp(il, i) = max(0., mp(il, i)) |
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|
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! Il y a vraisemblablement une erreur dans la |
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! ligne suivante : il faut diviser par (mp(il, |
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! i) * sigd * grav) et non par (mp(il, i) + sigd |
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! * 0.1). Et il faut bien revoir les facteurs |
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! 100. |
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b(il, i - 1) = b(il, i) + 100. * (p(il, i - 1) & |
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- p(il, i)) * tevap / (mp(il, i) + sigd * 0.1) & |
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- 10. * (th(il, i) - th(il, i - 1)) * t(il, i) & |
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/ (lvcp(il, i) * sigd * th(il, i)) |
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b(il, i - 1) = max(b(il, i - 1), 0.) |
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endif |
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|
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! limit magnitude of mp(i) to meet cfl condition |
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ampmax = 2. * (ph(il, i) - ph(il, i + 1)) * delti |
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amp2 = 2. * (ph(il, i - 1) - ph(il, i)) * delti |
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ampmax = min(ampmax, amp2) |
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mp(il, i) = min(mp(il, i), ampmax) |
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|
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! force mp to decrease linearly to zero |
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! between cloud base and the surface |
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if (p(il, i) > p(il, icb(il))) mp(il, i) = mp(il, icb(il)) & |
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* (p(il, 1) - p(il, i)) / (p(il, 1) - p(il, icb(il))) |
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endif ! i == 1 |
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|
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! find mixing ratio of precipitating downdraft |
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|
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if (i /= inb(il)) then |
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rp(il, i) = rr(il, i) |
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|
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if (mp(il, i) > mp(il, i + 1)) then |
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rp(il, i) = rp(il, i + 1) * mp(il, i + 1) + rr(il, i) & |
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* (mp(il, i) - mp(il, i + 1)) + 100. * ginv & |
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* 0.5 * sigd * (ph(il, i) - ph(il, i + 1)) & |
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* (evap(il, i + 1) + evap(il, i)) |
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rp(il, i) = rp(il, i) / mp(il, i) |
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up(il, i) = up(il, i + 1) * mp(il, i + 1) + u(il, i) & |
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* (mp(il, i) - mp(il, i + 1)) |
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up(il, i) = up(il, i) / mp(il, i) |
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vp(il, i) = vp(il, i + 1) * mp(il, i + 1) + v(il, i) & |
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* (mp(il, i) - mp(il, i + 1)) |
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vp(il, i) = vp(il, i) / mp(il, i) |
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else |
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if (mp(il, i + 1) > 1e-16) then |
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rp(il, i) = rp(il, i + 1) + 100. * ginv * 0.5 * sigd & |
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* (ph(il, i) - ph(il, i + 1)) & |
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* (evap(il, i + 1) + evap(il, i)) / mp(il, i + 1) |
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up(il, i) = up(il, i + 1) |
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vp(il, i) = vp(il, i + 1) |
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endif |
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endif |
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|
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rp(il, i) = min(rp(il, i), rs(il, i)) |
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rp(il, i) = max(rp(il, i), 0.) |
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endif |
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endif |
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end do |
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end if |
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end DO downdraft_loop |
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|
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end SUBROUTINE cv30_unsat |
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|
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end module cv30_unsat_m |
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