--- trunk/Sources/phylmd/CV30_routines/cv30_unsat.f 2016/05/18 17:56:44 195 +++ trunk/Sources/phylmd/CV30_routines/cv30_unsat.f 2016/06/06 17:42:15 201 @@ -10,35 +10,53 @@ ! Unsaturated (precipitating) downdrafts use cv30_param_m, only: nl, sigd - use cv_thermo_m, only: cpd, ginv, grav + use cv_thermo_m, only: ginv + use SUPHEC_M, only: rg, rcpd integer, intent(in):: icb(:) ! (ncum) + ! {2 <= icb <= nl - 3} integer, intent(in):: inb(:) ! (ncum) ! first model level above the level of neutral buoyancy of the ! parcel (1 <= inb <= nl - 1) - real, intent(in):: t(:, :), q(:, :), qs(:, :) ! (ncum, nl) + real, intent(in):: t(:, :) ! (ncum, nl) temperature (K) + real, intent(in):: q(:, :), qs(:, :) ! (ncum, nl) real, intent(in):: gz(:, :) ! (klon, klev) - real, intent(in):: u(:, :), v(:, :) ! (klon, klev) + real, intent(in):: u(:, :), v(:, :) ! (ncum, nl) real, intent(in):: p(:, :) ! (klon, klev) pressure at full level, in hPa - real, intent(in):: ph(:, :) ! (klon, klev + 1) - real, intent(in):: th(:, :) ! (ncum, nl - 1) + real, intent(in):: ph(:, :) ! (ncum, klev + 1) + real, intent(in):: th(:, :) ! (ncum, nl - 1) potential temperature, in K real, intent(in):: tv(:, :) ! (klon, klev) - real, intent(in):: lv(:, :) ! (klon, klev) - real, intent(in):: cpn(:, :) ! (klon, klev) + + real, intent(in):: lv(:, :) ! (ncum, nl) + ! specific latent heat of vaporization of water, in J kg-1 + + real, intent(in):: cpn(:, :) ! (ncum, nl) + ! specific heat capacity at constant pressure of humid air, in J K-1 kg-1 + real, intent(in):: ep(:, :) ! (ncum, klev) real, intent(in):: clw(:, :) ! (ncum, klev) real, intent(in):: m(:, :) ! (ncum, klev) real, intent(in):: ment(:, :, :) ! (ncum, klev, klev) real, intent(in):: elij(:, :, :) ! (ncum, klev, klev) real, intent(in):: delt - real, intent(in):: plcl(:) ! (klon) + real, intent(in):: plcl(:) ! (ncum) + + real, intent(out):: mp(:, :) + ! (ncum, nl) Mass flux of the unsaturated downdraft, defined + ! positive downward, in kg m-2 s-1. M_p in Emanuel (1991 928). - real, intent(out):: mp(:, :) ! (klon, klev) real, intent(out):: qp(:, :), up(:, :), vp(:, :) ! (ncum, nl) real, intent(out):: wt(:, :) ! (ncum, nl) - real, intent(out):: water(:, :), evap(:, :) ! (ncum, nl) + + real, intent(out):: water(:, :) ! (ncum, nl) + ! precipitation mixing ratio, l_p in Emanuel (1991 928) + + real, intent(out):: evap(:, :) ! (ncum, nl) + ! sigt * rate of evaporation of precipitation, in s-1 + ! \sigma_s E in Emanuel (1991 928) + real, intent(out):: b(:, :) ! (ncum, nl - 1) ! Local: @@ -49,12 +67,13 @@ integer ncum integer i, il, imax - real tinv, delti + real, parameter:: tinv = 1. / 3. + real delti real afac, afac1, afac2, bfac - real pr1, pr2, sigt, b6, c6, revap, tevap, delth - real amfac, amp2, xf, tf, fac2, ur, sru, fac, d, af, bf + real pr1, sigt, b6, c6, revap, tevap, delth + real xf, tf, fac2, ur, sru, fac, d, af, bf real ampmax - real lvcp(size(icb), nl) ! (ncum, nl) + real lvcp(size(icb), nl) ! (ncum, nl) L_v / C_p, in K real wdtrain(size(icb)) ! (ncum) logical lwork(size(icb)) ! (ncum) @@ -62,7 +81,6 @@ ncum = size(icb) delti = 1. / delt - tinv = 1. / 3. mp = 0. b = 0. @@ -93,7 +111,7 @@ ! and condensed water flux ! Calculate detrained precipitation - forall (il = 1:ncum, inb(il) >= i .and. lwork(il)) wdtrain(il) = grav & + forall (il = 1:ncum, inb(il) >= i .and. lwork(il)) wdtrain(il) = rg & * (ep(il, i) * m(il, i) * clw(il, i) & + sum(max(elij(il, :i - 1, i) - (1. - ep(il, i)) * clw(il, i), 0.) & * ment(il, :i - 1, i))) @@ -106,7 +124,7 @@ wt(il, i) = 45. if (i < inb(il)) then - qp(il, i) = qp(il, i + 1) + (cpd * (t(il, i + 1) - t(il, i)) & + qp(il, i) = qp(il, i + 1) + (rcpd * (t(il, i + 1) - t(il, i)) & + gz(il, i + 1) - gz(il, i)) / lv(il, i) qp(il, i) = 0.5 * (qp(il, i) + q(il, i)) endif @@ -119,7 +137,7 @@ afac = p(il, 1) * (qs(il, 1) - qp(il, 1)) & / (1e4 + 2000. * p(il, 1) * qs(il, 1)) else - qp(il, i - 1) = qp(il, i) + (cpd * (t(il, i) - t(il, i - 1)) & + qp(il, i - 1) = qp(il, i) + (rcpd * (t(il, i) - t(il, i - 1)) & + gz(il, i) - gz(il, i - 1)) / lv(il, i) qp(il, i - 1) = 0.5 * (qp(il, i - 1) + q(il, i - 1)) qp(il, i - 1) = min(qp(il, i - 1), qs(il, i - 1)) @@ -135,18 +153,20 @@ afac = max(afac, 0.) bfac = 1. / (sigd * wt(il, i)) - ! Prise en compte de la variation progressive de sigt dans - ! les couches icb et icb - 1: - ! pour plcl <= ph(i + 1), pr1 = 0 et pr2 = 1 - ! pour plcl >= ph(i), pr1 = 1 et pr2 = 0 - ! pour ph(i + 1) < plcl < ph(i), pr1 est la proportion \`a cheval - ! sur le nuage, et pr2 est la proportion sous la base du - ! nuage. - pr1 = max(0., min(1., & - (plcl(il) - ph(il, i + 1)) / (ph(il, i) - ph(il, i + 1)))) - pr2 = max(0., min(1., & - (ph(il, i) - plcl(il)) / (ph(il, i) - ph(il, i + 1)))) - sigt = sigp * pr1 + pr2 + if (i <= icb(il)) then + ! Prise en compte de la variation progressive de sigt dans + ! les couches icb et icb - 1 : + ! pour plcl <= ph(i + 1), pr1 = 0 + ! pour plcl >= ph(i), pr1 = 1 + ! pour ph(i + 1) < plcl < ph(i), pr1 est la proportion + ! \`a cheval sur le nuage. + pr1 = max(0., min(1., & + (plcl(il) - ph(il, i + 1)) / (ph(il, i) - ph(il, i + 1)))) + sigt = sigp * pr1 + 1. - pr1 + else + ! {i >= icb(il) + 1} + sigt = sigp + end if b6 = bfac * 50. * sigd * (ph(il, i) - ph(il, i + 1)) * sigt * afac c6 = water(il, i + 1) + bfac * wdtrain(il) - 50. * sigd * bfac & @@ -174,18 +194,14 @@ ! If hydrostatic assumption fails, solve cubic ! difference equation for downdraft theta and mass ! flux from two simultaneous differential equations - - amfac = sigd * sigd * 70. * ph(il, i) & - * (p(il, i - 1) - p(il, i)) & - * (th(il, i) - th(il, i - 1)) / (tv(il, i) * th(il, i)) - amp2 = abs(mp(il, i + 1) * mp(il, i + 1) - mp(il, i) & - * mp(il, i)) - - if (amp2 > 0.1 * amfac) then - xf = 100. * sigd * sigd * sigd * (ph(il, i) - ph(il, i + 1)) + if (abs(mp(il, i + 1)**2 - mp(il, i)**2) > 0.1 * sigd**2 & + * 70. * ph(il, i) * (p(il, i - 1) - p(il, i)) & + * (th(il, i) - th(il, i - 1)) / (tv(il, i) * th(il, i))) & + then + xf = 100. * sigd**3 * (ph(il, i) - ph(il, i + 1)) tf = b(il, i) - 5. * (th(il, i) - th(il, i - 1)) & * t(il, i) / (lvcp(il, i) * sigd * th(il, i)) - af = xf * tf + mp(il, i + 1) * mp(il, i + 1) * tinv + af = xf * tf + mp(il, i + 1)**2 * tinv bf = 2. * (tinv * mp(il, i + 1))**3 + tinv & * mp(il, i + 1) * xf * tf + 50. * (p(il, i - 1) & - p(il, i)) * xf * tevap @@ -202,29 +218,26 @@ + sru)**tinv + fac * (abs(0.5 * bf - sru))**tinv else d = atan(2. * sqrt(- ur) / (bf + 1e-28)) - if (fac2 < 0.)d = 3.14159 - d + if (fac2 < 0.) d = 3.14159 - d mp(il, i) = mp(il, i + 1) * tinv + 2. * sqrt(af * tinv) & * cos(d * tinv) endif mp(il, i) = max(0., mp(il, i)) - ! Il y a vraisemblablement une erreur dans la - ! ligne suivante : il faut diviser par (mp(il, - ! i) * sigd * grav) et non par (mp(il, i) + sigd - ! * 0.1). Et il faut bien revoir les facteurs - ! 100. - b(il, i - 1) = b(il, i) + 100. * (p(il, i - 1) - p(il, i)) & - * tevap / (mp(il, i) + sigd * 0.1) - 10. * (th(il, i) & - - th(il, i - 1)) * t(il, i) / (lvcp(il, i) * sigd & - * th(il, i)) - b(il, i - 1) = max(b(il, i - 1), 0.) + ! Il y a vraisemblablement une erreur dans la ligne + ! suivante : il faut diviser par (mp(il, i) * sigd + ! * rg) et non par (mp(il, i) + sigd * 0.1). Et il + ! faut bien revoir les facteurs 100. + b(il, i - 1) = max(b(il, i) + 100. * (p(il, i - 1) & + - p(il, i)) * tevap / (mp(il, i) + sigd * 0.1) - 10. & + * (th(il, i) - th(il, i - 1)) * t(il, i) & + / (lvcp(il, i) * sigd * th(il, i)), 0.) endif - ! Limit magnitude of mp(i) to meet CFL condition: + ! Limit magnitude of mp to meet CFL condition: ampmax = 2. * (ph(il, i) - ph(il, i + 1)) * delti - amp2 = 2. * (ph(il, i - 1) - ph(il, i)) * delti - ampmax = min(ampmax, amp2) + ampmax = min(ampmax, 2. * (ph(il, i - 1) - ph(il, i)) * delti) mp(il, i) = min(mp(il, i), ampmax) ! Force mp to decrease linearly to zero between cloud