[2374] | 1 | |
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| 2 | |
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| 3 | SUBROUTINE cv3p2_closure(nloc, ncum, nd, icb, inb, pbase, plcl, p, ph, tv, & |
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| 4 | tvp, buoy, supmax, ok_inhib, ale, alp, omega,sig, w0, ptop2, cape, cin, m, & |
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| 5 | iflag, coef, plim1, plim2, asupmax, supmax0, asupmaxmin, cbmflast, plfc, & |
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| 6 | wbeff) |
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| 7 | |
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| 8 | |
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| 9 | ! ************************************************************** |
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| 10 | ! * |
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| 11 | ! CV3P2_CLOSURE * |
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| 12 | ! Ale & Alp Closure of Convect3 * |
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| 13 | ! * |
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| 14 | ! written by : Kerry Emanuel * |
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| 15 | ! vectorization: S. Bony * |
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| 16 | ! modified by : Jean-Yves Grandpeix, 18/06/2003, 19.32.10 * |
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| 17 | ! Julie Frohwirth, 14/10/2005 17.44.22 * |
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| 18 | ! ************************************************************** |
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| 19 | |
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| 20 | USE print_control_mod, ONLY: prt_level, lunout |
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| 21 | IMPLICIT NONE |
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| 22 | |
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| 23 | include "cvthermo.h" |
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| 24 | include "cv3param.h" |
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[3496] | 25 | include "cvflag.h" |
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[2374] | 26 | include "YOMCST2.h" |
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| 27 | include "YOMCST.h" |
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| 28 | include "conema3.h" |
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| 29 | |
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| 30 | ! input: |
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| 31 | INTEGER, INTENT (IN) :: ncum, nd, nloc |
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| 32 | INTEGER, DIMENSION (nloc), INTENT (IN) :: icb, inb |
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| 33 | REAL, DIMENSION (nloc), INTENT (IN) :: pbase, plcl |
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| 34 | REAL, DIMENSION (nloc, nd), INTENT (IN) :: p |
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| 35 | REAL, DIMENSION (nloc, nd+1), INTENT (IN) :: ph |
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| 36 | REAL, DIMENSION (nloc, nd), INTENT (IN) :: tv, tvp, buoy |
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| 37 | REAL, DIMENSION (nloc, nd), INTENT (IN) :: supmax |
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| 38 | LOGICAL, INTENT (IN) :: ok_inhib ! enable convection inhibition by dryness |
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| 39 | REAL, DIMENSION (nloc), INTENT (IN) :: ale, alp |
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| 40 | REAL, DIMENSION (nloc, nd), INTENT (IN) :: omega |
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| 41 | |
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| 42 | ! input/output: |
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[3671] | 43 | INTEGER, DIMENSION (nloc), INTENT (INOUT) :: iflag |
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[2374] | 44 | REAL, DIMENSION (nloc, nd), INTENT (INOUT) :: sig, w0 |
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| 45 | REAL, DIMENSION (nloc), INTENT (INOUT) :: ptop2 |
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| 46 | |
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| 47 | ! output: |
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| 48 | REAL, DIMENSION (nloc), INTENT (OUT) :: cape, cin |
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| 49 | REAL, DIMENSION (nloc, nd), INTENT (OUT) :: m |
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| 50 | REAL, DIMENSION (nloc), INTENT (OUT) :: plim1, plim2 |
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| 51 | REAL, DIMENSION (nloc, nd), INTENT (OUT) :: asupmax |
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| 52 | REAL, DIMENSION (nloc), INTENT (OUT) :: supmax0 |
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| 53 | REAL, DIMENSION (nloc), INTENT (OUT) :: asupmaxmin |
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| 54 | REAL, DIMENSION (nloc), INTENT (OUT) :: cbmflast, plfc |
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| 55 | REAL, DIMENSION (nloc), INTENT (OUT) :: wbeff |
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| 56 | |
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| 57 | ! local variables: |
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| 58 | INTEGER :: il, i, j, k, icbmax |
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| 59 | INTEGER, DIMENSION (nloc) :: i0, klfc |
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| 60 | REAL :: deltap, fac, w, amu |
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| 61 | REAL, DIMENSION (nloc, nd) :: rhodp ! Factor such that m=rhodp*sig*w |
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[2420] | 62 | REAL :: dz |
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[2374] | 63 | REAL :: pbmxup |
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| 64 | REAL, DIMENSION (nloc, nd) :: dtmin, sigold |
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| 65 | REAL, DIMENSION (nloc, nd) :: coefmix |
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[2398] | 66 | REAL, DIMENSION (nloc) :: dtminmax |
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[2374] | 67 | REAL, DIMENSION (nloc) :: pzero, ptop2old |
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| 68 | REAL, DIMENSION (nloc) :: cina, cinb |
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| 69 | INTEGER, DIMENSION (nloc) :: ibeg |
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| 70 | INTEGER, DIMENSION (nloc) :: nsupmax |
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| 71 | REAL :: supcrit |
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| 72 | REAL, DIMENSION (nloc, nd) :: temp |
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| 73 | REAL, DIMENSION (nloc) :: p1, pmin |
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| 74 | REAL, DIMENSION (nloc) :: asupmax0 |
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| 75 | LOGICAL, DIMENSION (nloc) :: ok |
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| 76 | REAL, DIMENSION (nloc, nd) :: siglim, wlim, mlim |
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| 77 | REAL, DIMENSION (nloc) :: wb2 |
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| 78 | REAL, DIMENSION (nloc) :: cbmf0 ! initial cloud base mass flux |
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| 79 | REAL, DIMENSION (nloc) :: cbmflim ! cbmf given by Cape closure |
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| 80 | REAL, DIMENSION (nloc) :: cbmfalp ! cbmf given by Alp closure |
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| 81 | REAL, DIMENSION (nloc) :: cbmfalpb ! bounded cbmf given by Alp closure |
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| 82 | REAL, DIMENSION (nloc) :: cbmfmax ! upper bound on cbmf |
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| 83 | REAL, DIMENSION (nloc) :: coef |
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| 84 | REAL, DIMENSION (nloc) :: xp, xq, xr, discr, b3, b4 |
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| 85 | REAL, DIMENSION (nloc) :: theta, bb |
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| 86 | REAL :: term1, term2, term3 |
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| 87 | REAL, DIMENSION (nloc) :: alp2 ! Alp with offset |
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| 88 | |
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[2420] | 89 | !CR: variables for new erosion of adiabiatic ascent |
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| 90 | REAL, DIMENSION (nloc, nd) :: mad, me, betalim, beta_coef |
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| 91 | REAL, DIMENSION (nloc, nd) :: med, md |
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[2458] | 92 | !jyg< |
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| 93 | ! coef_peel is now in the common cv3_param |
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| 94 | !! REAL :: coef_peel |
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| 95 | !! PARAMETER (coef_peel=0.25) |
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| 96 | !>jyg |
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[2420] | 97 | |
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[2374] | 98 | REAL :: sigmax |
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| 99 | PARAMETER (sigmax=0.1) |
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| 100 | !! PARAMETER (sigmax=10.) |
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| 101 | |
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| 102 | CHARACTER (LEN=20) :: modname = 'cv3p2_closure' |
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| 103 | CHARACTER (LEN=80) :: abort_message |
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| 104 | |
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| 105 | INTEGER,SAVE :: igout=1 |
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| 106 | !$OMP THREADPRIVATE(igout) |
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| 107 | |
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| 108 | IF (prt_level>=20) print *,' -> cv3p2_closure, Ale ',ale(igout) |
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| 109 | |
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| 110 | |
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| 111 | ! ------------------------------------------------------- |
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| 112 | ! -- Initialization |
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| 113 | ! ------------------------------------------------------- |
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| 114 | |
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| 115 | |
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| 116 | DO il = 1, ncum |
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| 117 | alp2(il) = max(alp(il), 1.E-5) |
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| 118 | ! IM |
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| 119 | alp2(il) = max(alp(il), 1.E-12) |
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| 120 | END DO |
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| 121 | |
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| 122 | pbmxup = 50. ! PBMXUP+PBCRIT = cloud depth above which mixed updraughts |
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| 123 | ! exist (if any) |
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| 124 | |
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| 125 | IF (prt_level>=20) PRINT *, 'cv3p2_closure nloc ncum nd icb inb nl', nloc, & |
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| 126 | ncum, nd, icb(nloc), inb(nloc), nl |
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| 127 | DO k = 1, nl |
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| 128 | DO il = 1, ncum |
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| 129 | rhodp(il,k) = 0.007*p(il, k)*(ph(il,k)-ph(il,k+1))/tv(il, k) |
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| 130 | END DO |
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| 131 | END DO |
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| 132 | |
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[2502] | 133 | !CR+jyg: initializations (up to nd) for erosion of adiabatic ascent and of m and wlim |
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| 134 | DO k = 1,nd |
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[2420] | 135 | DO il = 1, ncum |
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| 136 | mad(il,k)=0. |
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| 137 | me(il,k)=0. |
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| 138 | betalim(il,k)=1. |
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| 139 | wlim(il,k)=0. |
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[2502] | 140 | m(il, k) = 0.0 |
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[2420] | 141 | ENDDO |
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| 142 | ENDDO |
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| 143 | |
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[2374] | 144 | ! ------------------------------------------------------- |
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| 145 | ! -- Reset sig(i) and w0(i) for i>inb and i<icb |
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| 146 | ! ------------------------------------------------------- |
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| 147 | |
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| 148 | ! update sig and w0 above LNB: |
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| 149 | |
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| 150 | DO k = 1, nl - 1 |
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| 151 | DO il = 1, ncum |
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| 152 | IF ((inb(il)<(nl-1)) .AND. (k>=(inb(il)+1))) THEN |
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| 153 | sig(il, k) = beta*sig(il, k) + 2.*alpha*buoy(il, inb(il))*abs(buoy(il,inb(il))) |
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| 154 | sig(il, k) = amax1(sig(il,k), 0.0) |
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| 155 | w0(il, k) = beta*w0(il, k) |
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| 156 | END IF |
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| 157 | END DO |
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| 158 | END DO |
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| 159 | |
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| 160 | ! if(prt.level.GE.20) print*,'cv3p2_closure apres 100' |
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| 161 | ! compute icbmax: |
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| 162 | |
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| 163 | icbmax = 2 |
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| 164 | DO il = 1, ncum |
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| 165 | icbmax = max(icbmax, icb(il)) |
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| 166 | END DO |
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| 167 | ! if(prt.level.GE.20) print*,'cv3p2_closure apres 200' |
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| 168 | |
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| 169 | ! update sig and w0 below cloud base: |
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| 170 | |
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| 171 | DO k = 1, icbmax |
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| 172 | DO il = 1, ncum |
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| 173 | IF (k<=icb(il)) THEN |
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| 174 | sig(il, k) = beta*sig(il, k) - 2.*alpha*buoy(il, icb(il))*buoy(il,icb(il)) |
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| 175 | sig(il, k) = amax1(sig(il,k), 0.0) |
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| 176 | w0(il, k) = beta*w0(il, k) |
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| 177 | END IF |
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| 178 | END DO |
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| 179 | END DO |
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| 180 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres 300' |
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| 181 | |
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| 182 | ! ------------------------------------------------------------- |
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| 183 | ! -- Reset fractional areas of updrafts and w0 at initial time |
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| 184 | ! -- and after 10 time steps of no convection |
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| 185 | ! ------------------------------------------------------------- |
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| 186 | |
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[2398] | 187 | !jyg< |
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| 188 | IF (ok_convstop) THEN |
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| 189 | DO k = 1, nl - 1 |
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| 190 | DO il = 1, ncum |
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| 191 | IF (sig(il,nd)<1.5 .OR. sig(il,nd)>noconv_stop) THEN |
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| 192 | sig(il, k) = 0.0 |
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| 193 | w0(il, k) = 0.0 |
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| 194 | END IF |
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| 195 | END DO |
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| 196 | END DO |
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| 197 | ELSE |
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[2374] | 198 | DO k = 1, nl - 1 |
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| 199 | DO il = 1, ncum |
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| 200 | IF (sig(il,nd)<1.5 .OR. sig(il,nd)>12.0) THEN |
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| 201 | sig(il, k) = 0.0 |
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| 202 | w0(il, k) = 0.0 |
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| 203 | END IF |
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| 204 | END DO |
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| 205 | END DO |
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[2398] | 206 | ENDIF ! (ok_convstop) |
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| 207 | !>jyg |
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[2374] | 208 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres 400' |
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| 209 | |
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| 210 | ! ------------------------------------------------------- |
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| 211 | ! -- Compute initial cloud base mass flux (Cbmf0) |
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| 212 | ! ------------------------------------------------------- |
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| 213 | DO il = 1, ncum |
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| 214 | cbmf0(il) = 0.0 |
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| 215 | END DO |
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| 216 | |
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| 217 | DO k = 1, nl |
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| 218 | DO il = 1, ncum |
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| 219 | IF (k>=icb(il) .AND. k<=inb(il) & |
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| 220 | .AND. icb(il)+1<=inb(il)) THEN |
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| 221 | cbmf0(il) = cbmf0(il) + sig(il, k)*w0(il,k)*rhodp(il,k) |
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| 222 | END IF |
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| 223 | END DO |
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| 224 | END DO |
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| 225 | |
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| 226 | ! ------------------------------------------------------------- |
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| 227 | ! jyg1 |
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| 228 | ! -- Calculate adiabatic ascent top pressure (ptop) |
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| 229 | ! ------------------------------------------------------------- |
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| 230 | |
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| 231 | |
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| 232 | ! c 1. Start at first level where precipitations form |
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| 233 | DO il = 1, ncum |
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| 234 | pzero(il) = plcl(il) - pbcrit |
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| 235 | END DO |
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| 236 | |
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| 237 | ! c 2. Add offset |
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| 238 | DO il = 1, ncum |
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| 239 | pzero(il) = pzero(il) - pbmxup |
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| 240 | END DO |
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| 241 | DO il = 1, ncum |
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| 242 | ptop2old(il) = ptop2(il) |
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| 243 | END DO |
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| 244 | |
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| 245 | DO il = 1, ncum |
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| 246 | ! CR:c est quoi ce 300?? |
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| 247 | p1(il) = pzero(il) - 300. |
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| 248 | END DO |
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| 249 | |
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| 250 | ! compute asupmax=abs(supmax) up to lnm+1 |
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| 251 | |
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| 252 | DO il = 1, ncum |
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| 253 | ok(il) = .TRUE. |
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| 254 | nsupmax(il) = inb(il) |
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| 255 | END DO |
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| 256 | |
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| 257 | DO i = 1, nl |
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| 258 | DO il = 1, ncum |
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| 259 | IF (i>icb(il) .AND. i<=inb(il)) THEN |
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| 260 | IF (p(il,i)<=pzero(il) .AND. supmax(il,i)<0 .AND. ok(il)) THEN |
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| 261 | nsupmax(il) = i |
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| 262 | ok(il) = .FALSE. |
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| 263 | END IF ! end IF (P(i) ... ) |
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| 264 | END IF ! end IF (icb+1 le i le inb) |
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| 265 | END DO |
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| 266 | END DO |
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| 267 | |
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| 268 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres 2.' |
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| 269 | DO i = 1, nl |
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| 270 | DO il = 1, ncum |
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| 271 | asupmax(il, i) = abs(supmax(il,i)) |
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| 272 | END DO |
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| 273 | END DO |
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| 274 | |
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| 275 | |
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| 276 | DO il = 1, ncum |
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| 277 | asupmaxmin(il) = 10. |
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| 278 | pmin(il) = 100. |
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| 279 | ! IM ?? |
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| 280 | asupmax0(il) = 0. |
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| 281 | END DO |
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| 282 | |
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| 283 | ! c 3. Compute in which level is Pzero |
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| 284 | |
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| 285 | ! IM bug i0 = 18 |
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| 286 | DO il = 1, ncum |
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| 287 | i0(il) = nl |
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| 288 | END DO |
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| 289 | |
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| 290 | DO i = 1, nl |
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| 291 | DO il = 1, ncum |
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| 292 | IF (i>icb(il) .AND. i<=inb(il)) THEN |
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| 293 | IF (p(il,i)<=pzero(il) .AND. p(il,i)>=p1(il)) THEN |
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| 294 | IF (pzero(il)>p(il,i) .AND. pzero(il)<p(il,i-1)) THEN |
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| 295 | i0(il) = i |
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| 296 | END IF |
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| 297 | END IF |
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| 298 | END IF |
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| 299 | END DO |
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| 300 | END DO |
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| 301 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres 3.' |
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| 302 | |
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| 303 | ! c 4. Compute asupmax at Pzero |
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| 304 | |
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| 305 | DO i = 1, nl |
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| 306 | DO il = 1, ncum |
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| 307 | IF (i>icb(il) .AND. i<=inb(il)) THEN |
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| 308 | IF (p(il,i)<=pzero(il) .AND. p(il,i)>=p1(il)) THEN |
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| 309 | asupmax0(il) = ((pzero(il)-p(il,i0(il)-1))*asupmax(il,i0(il))- & |
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| 310 | (pzero(il)-p(il,i0(il)))*asupmax(il,i0(il)-1))/(p(il,i0(il))-p(il,i0(il)-1)) |
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| 311 | END IF |
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| 312 | END IF |
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| 313 | END DO |
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| 314 | END DO |
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| 315 | |
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| 316 | |
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| 317 | DO i = 1, nl |
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| 318 | DO il = 1, ncum |
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| 319 | IF (p(il,i)==pzero(il)) THEN |
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| 320 | asupmax(i, il) = asupmax0(il) |
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| 321 | END IF |
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| 322 | END DO |
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| 323 | END DO |
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| 324 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres 4.' |
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| 325 | |
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| 326 | ! c 5. Compute asupmaxmin, minimum of asupmax |
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| 327 | |
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| 328 | DO i = 1, nl |
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| 329 | DO il = 1, ncum |
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| 330 | IF (i>icb(il) .AND. i<=inb(il)) THEN |
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| 331 | IF (p(il,i)<=pzero(il) .AND. p(il,i)>=p1(il)) THEN |
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| 332 | IF (asupmax(il,i)<asupmaxmin(il)) THEN |
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| 333 | asupmaxmin(il) = asupmax(il, i) |
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| 334 | pmin(il) = p(il, i) |
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| 335 | END IF |
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| 336 | END IF |
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| 337 | END IF |
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| 338 | END DO |
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| 339 | END DO |
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| 340 | |
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| 341 | DO il = 1, ncum |
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| 342 | ! IM |
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| 343 | IF (prt_level>=20) THEN |
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| 344 | PRINT *, 'cv3p2_closure il asupmax0 asupmaxmin', il, asupmax0(il), & |
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| 345 | asupmaxmin(il), pzero(il), pmin(il) |
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| 346 | END IF |
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| 347 | IF (asupmax0(il)<asupmaxmin(il)) THEN |
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| 348 | asupmaxmin(il) = asupmax0(il) |
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| 349 | pmin(il) = pzero(il) |
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| 350 | END IF |
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| 351 | END DO |
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| 352 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres 5.' |
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| 353 | |
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| 354 | |
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| 355 | ! Compute Supmax at Pzero |
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| 356 | |
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| 357 | DO i = 1, nl |
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| 358 | DO il = 1, ncum |
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| 359 | IF (i>icb(il) .AND. i<=inb(il)) THEN |
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| 360 | IF (p(il,i)<=pzero(il)) THEN |
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| 361 | supmax0(il) = ((p(il,i)-pzero(il))*asupmax(il,i-1)- & |
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| 362 | (p(il,i-1)-pzero(il))*asupmax(il,i))/(p(il,i)-p(il,i-1)) |
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| 363 | GO TO 425 |
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| 364 | END IF ! end IF (P(i) ... ) |
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| 365 | END IF ! end IF (icb+1 le i le inb) |
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| 366 | END DO |
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| 367 | END DO |
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| 368 | |
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| 369 | 425 CONTINUE |
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| 370 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres 425.' |
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| 371 | |
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| 372 | ! c 6. Calculate ptop2 |
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| 373 | |
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| 374 | DO il = 1, ncum |
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| 375 | IF (asupmaxmin(il)<supcrit1) THEN |
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| 376 | ptop2(il) = pmin(il) |
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| 377 | END IF |
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| 378 | |
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| 379 | IF (asupmaxmin(il)>supcrit1 .AND. asupmaxmin(il)<supcrit2) THEN |
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| 380 | ptop2(il) = ptop2old(il) |
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| 381 | END IF |
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| 382 | |
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| 383 | IF (asupmaxmin(il)>supcrit2) THEN |
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| 384 | ptop2(il) = ph(il, inb(il)) |
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| 385 | END IF |
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| 386 | END DO |
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| 387 | |
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| 388 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres 6.' |
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| 389 | |
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| 390 | ! c 7. Compute multiplying factor for adiabatic updraught mass flux |
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| 391 | |
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| 392 | |
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| 393 | IF (ok_inhib) THEN |
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| 394 | |
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| 395 | DO i = 1, nl |
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| 396 | DO il = 1, ncum |
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| 397 | IF (i<=nl) THEN |
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| 398 | coefmix(il, i) = (min(ptop2(il),ph(il,i))-ph(il,i))/(ph(il,i+1)-ph(il,i)) |
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| 399 | coefmix(il, i) = min(coefmix(il,i), 1.) |
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| 400 | END IF |
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| 401 | END DO |
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| 402 | END DO |
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| 403 | |
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| 404 | |
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| 405 | ELSE ! when inhibition is not taken into account, coefmix=1 |
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| 406 | |
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| 407 | |
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| 408 | |
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| 409 | DO i = 1, nl |
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| 410 | DO il = 1, ncum |
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| 411 | IF (i<=nl) THEN |
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| 412 | coefmix(il, i) = 1. |
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| 413 | END IF |
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| 414 | END DO |
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| 415 | END DO |
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| 416 | |
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| 417 | END IF ! ok_inhib |
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| 418 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres 7.' |
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| 419 | ! ------------------------------------------------------------------- |
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| 420 | ! ------------------------------------------------------------------- |
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| 421 | |
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| 422 | |
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| 423 | ! jyg2 |
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| 424 | |
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| 425 | ! ========================================================================== |
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| 426 | |
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| 427 | |
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| 428 | ! ------------------------------------------------------------- |
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| 429 | ! -- Calculate convective inhibition (CIN) |
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| 430 | ! ------------------------------------------------------------- |
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| 431 | |
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| 432 | ! do i=1,nloc |
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| 433 | ! print*,'avant cine p',pbase(i),plcl(i) |
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| 434 | ! enddo |
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| 435 | ! do j=1,nd |
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| 436 | ! do i=1,nloc |
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| 437 | ! print*,'avant cine t',tv(i),tvp(i) |
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| 438 | ! enddo |
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| 439 | ! enddo |
---|
| 440 | CALL cv3_cine(nloc, ncum, nd, icb, inb, pbase, plcl, p, ph, tv, tvp, cina, & |
---|
| 441 | cinb, plfc) |
---|
| 442 | |
---|
| 443 | DO il = 1, ncum |
---|
| 444 | cin(il) = cina(il) + cinb(il) |
---|
| 445 | END DO |
---|
| 446 | IF (prt_level>=20) PRINT *, 'cv3p2_closure after cv3_cine: cina, cinb, cin ', & |
---|
| 447 | cina(igout), cinb(igout), cin(igout) |
---|
| 448 | ! ------------------------------------------------------------- |
---|
| 449 | ! --Update buoyancies to account for Ale |
---|
| 450 | ! ------------------------------------------------------------- |
---|
| 451 | |
---|
| 452 | CALL cv3_buoy(nloc, ncum, nd, icb, inb, pbase, plcl, p, ph, ale, cin, tv, & |
---|
| 453 | tvp, buoy) |
---|
| 454 | IF (prt_level>=20) PRINT *, 'cv3p2_closure after cv3_buoy' |
---|
| 455 | |
---|
| 456 | ! ------------------------------------------------------------- |
---|
| 457 | ! -- Calculate convective available potential energy (cape), |
---|
| 458 | ! -- vertical velocity (w), fractional area covered by |
---|
| 459 | ! -- undilute updraft (sig), and updraft mass flux (m) |
---|
| 460 | ! ------------------------------------------------------------- |
---|
| 461 | |
---|
| 462 | DO il = 1, ncum |
---|
| 463 | cape(il) = 0.0 |
---|
[2398] | 464 | dtminmax(il) = -100. |
---|
[2374] | 465 | END DO |
---|
| 466 | |
---|
| 467 | ! compute dtmin (minimum buoyancy between ICB and given level k): |
---|
| 468 | |
---|
| 469 | DO k = 1, nl |
---|
| 470 | DO il = 1, ncum |
---|
| 471 | dtmin(il, k) = 100.0 |
---|
| 472 | END DO |
---|
| 473 | END DO |
---|
| 474 | |
---|
| 475 | DO k = 1, nl |
---|
| 476 | DO j = minorig, nl |
---|
| 477 | DO il = 1, ncum |
---|
| 478 | IF ((k>=(icb(il)+1)) .AND. (k<=inb(il)) .AND. (j>=icb(il)) & |
---|
| 479 | .AND. (j<=(k-1))) THEN |
---|
| 480 | dtmin(il, k) = amin1(dtmin(il,k), buoy(il,j)) |
---|
| 481 | END IF |
---|
| 482 | END DO |
---|
| 483 | END DO |
---|
| 484 | END DO |
---|
[2398] | 485 | !jyg< |
---|
| 486 | ! Store maximum of dtmin |
---|
| 487 | ! C est pas terrible d avoir ce test sur Ale+Cin encore une fois ici. |
---|
| 488 | ! A REVOIR ! |
---|
| 489 | DO k = 1, nl |
---|
| 490 | DO il = 1, ncum |
---|
| 491 | IF (k>=(icb(il)+1) .AND. k<=inb(il) .AND. ale(il)+cin(il)>0.) THEN |
---|
| 492 | dtminmax(il) = max(dtmin(il,k), dtminmax(il)) |
---|
| 493 | ENDIF |
---|
| 494 | END DO |
---|
| 495 | END DO |
---|
[2374] | 496 | ! |
---|
[2398] | 497 | ! prevent convection when ale+cin <= 0 |
---|
| 498 | DO k = 1, nl |
---|
| 499 | DO il = 1, ncum |
---|
| 500 | IF (k>=(icb(il)+1) .AND. k<=inb(il)) THEN |
---|
| 501 | dtmin(il,k) = min(dtmin(il,k), dtminmax(il)) |
---|
| 502 | ENDIF |
---|
| 503 | END DO |
---|
| 504 | END DO |
---|
| 505 | !>jyg |
---|
| 506 | ! |
---|
[2374] | 507 | IF (prt_level >= 20) THEN |
---|
| 508 | print *,'cv3p2_closure: dtmin ', (k, dtmin(igout,k), k=1,nl) |
---|
[2398] | 509 | print *,'cv3p2_closure: dtminmax ', dtminmax(igout) |
---|
[2374] | 510 | ENDIF |
---|
| 511 | ! |
---|
| 512 | ! the interval on which cape is computed starts at pbase : |
---|
| 513 | |
---|
| 514 | DO k = 1, nl |
---|
| 515 | DO il = 1, ncum |
---|
| 516 | |
---|
| 517 | IF ((k>=(icb(il)+1)) .AND. (k<=inb(il))) THEN |
---|
| 518 | |
---|
[2420] | 519 | IF (iflag_mix_adiab.eq.1) THEN |
---|
| 520 | !CR:computation of cape from LCL: keep flag or to modify in all cases? |
---|
| 521 | deltap = min(plcl(il), ph(il,k-1)) - min(plcl(il), ph(il,k)) |
---|
| 522 | ELSE |
---|
[2374] | 523 | deltap = min(pbase(il), ph(il,k-1)) - min(pbase(il), ph(il,k)) |
---|
[2420] | 524 | ENDIF |
---|
[2374] | 525 | cape(il) = cape(il) + rrd*buoy(il, k-1)*deltap/p(il, k-1) |
---|
| 526 | cape(il) = amax1(0.0, cape(il)) |
---|
| 527 | sigold(il, k) = sig(il, k) |
---|
| 528 | |
---|
| 529 | |
---|
| 530 | ! jyg Coefficient coefmix limits convection to levels where a |
---|
| 531 | ! sufficient |
---|
| 532 | ! fraction of mixed draughts are ascending. |
---|
| 533 | siglim(il, k) = coefmix(il, k)*alpha1*dtmin(il, k)*abs(dtmin(il,k)) |
---|
| 534 | siglim(il, k) = amax1(siglim(il,k), 0.0) |
---|
| 535 | siglim(il, k) = amin1(siglim(il,k), 0.01) |
---|
| 536 | ! c fac=AMIN1(((dtcrit-dtmin(il,k))/dtcrit),1.0) |
---|
| 537 | fac = 1. |
---|
| 538 | wlim(il, k) = fac*sqrt(cape(il)) |
---|
| 539 | amu = siglim(il, k)*wlim(il, k) |
---|
| 540 | !! rhodp(il,k) = 0.007*p(il, k)*(ph(il,k)-ph(il,k+1))/tv(il, k) !cor jyg : computed earlier |
---|
| 541 | mlim(il, k) = amu*rhodp(il,k) |
---|
| 542 | ! print*, 'siglim ', k,siglim(1,k) |
---|
| 543 | END IF |
---|
| 544 | |
---|
| 545 | END DO |
---|
| 546 | END DO |
---|
| 547 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres 600' |
---|
| 548 | |
---|
| 549 | DO il = 1, ncum |
---|
| 550 | ! IM beg |
---|
| 551 | IF (prt_level>=20) THEN |
---|
| 552 | PRINT *, 'cv3p2_closure il icb mlim ph ph+1 ph+2', il, icb(il), & |
---|
| 553 | mlim(il, icb(il)+1), ph(il, icb(il)), ph(il, icb(il)+1), & |
---|
| 554 | ph(il, icb(il)+2) |
---|
| 555 | END IF |
---|
| 556 | |
---|
| 557 | IF (icb(il)+1<=inb(il)) THEN |
---|
| 558 | ! IM end |
---|
| 559 | mlim(il, icb(il)) = 0.5*mlim(il,icb(il)+1)*(ph(il,icb(il))-ph(il,icb(il)+1))/ & |
---|
| 560 | (ph(il,icb(il)+1)-ph(il,icb(il)+2)) |
---|
| 561 | ! IM beg |
---|
| 562 | END IF !(icb(il.le.inb(il))) then |
---|
| 563 | ! IM end |
---|
| 564 | END DO |
---|
| 565 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres 700' |
---|
| 566 | |
---|
| 567 | ! |
---|
| 568 | ! ------------------------------------------------------------------------ |
---|
| 569 | ! c Compute Cloud base mass flux given by Cape closure (cbmflim = cbmf of |
---|
| 570 | ! c elementary systems), cbmf given by Alp closure (cbmfalp), cbmf given by Alp |
---|
| 571 | ! c closure with an upper bound imposed (cbmfalpb) and cbmf resulting from |
---|
| 572 | ! c time integration (cbmflast). |
---|
| 573 | ! ------------------------------------------------------------------------ |
---|
| 574 | |
---|
| 575 | DO il = 1, ncum |
---|
| 576 | cbmflim(il) = 0. |
---|
| 577 | cbmfalp(il) = 0. |
---|
| 578 | cbmfalpb(il) = 0. |
---|
| 579 | cbmflast(il) = 0. |
---|
| 580 | END DO |
---|
| 581 | |
---|
| 582 | ! c 1. Compute cloud base mass flux of elementary system (Cbmflim) |
---|
| 583 | |
---|
| 584 | DO k = 1, nl |
---|
| 585 | DO il = 1, ncum |
---|
| 586 | ! old IF (k .ge. icb(il) .and. k .le. inb(il)) THEN |
---|
| 587 | ! IM IF (k .ge. icb(il)+1 .and. k .le. inb(il)) THEN |
---|
| 588 | IF (k>=icb(il) .AND. k<=inb(il) & !cor jyg |
---|
| 589 | .AND. icb(il)+1<=inb(il)) THEN !cor jyg |
---|
| 590 | cbmflim(il) = cbmflim(il) + mlim(il, k) |
---|
| 591 | END IF |
---|
| 592 | END DO |
---|
| 593 | END DO |
---|
| 594 | IF (prt_level>=20) PRINT *, 'cv3p2_closure after cbmflim: cbmflim ', cbmflim(igout) |
---|
| 595 | |
---|
| 596 | ! 1.5 Compute cloud base mass flux given by Alp closure (Cbmfalp), maximum |
---|
| 597 | ! allowed mass flux (Cbmfmax) and bounded mass flux (Cbmfalpb) |
---|
| 598 | ! Cbmfalpb is set to zero if Cbmflim (the mass flux of elementary cloud) |
---|
| 599 | ! is exceedingly small. |
---|
| 600 | |
---|
| 601 | DO il = 1, ncum |
---|
| 602 | wb2(il) = sqrt(2.*max(ale(il)+cin(il),0.)) |
---|
| 603 | END DO |
---|
| 604 | |
---|
| 605 | DO il = 1, ncum |
---|
| 606 | IF (plfc(il)<100.) THEN |
---|
| 607 | ! This is an irealistic value for plfc => no calculation of wbeff |
---|
| 608 | wbeff(il) = 100.1 |
---|
| 609 | ELSE |
---|
| 610 | ! Calculate wbeff |
---|
[3571] | 611 | IF (NINT(flag_wb)==0) THEN |
---|
[2374] | 612 | wbeff(il) = wbmax |
---|
[3571] | 613 | ELSE IF (NINT(flag_wb)==1) THEN |
---|
[2374] | 614 | wbeff(il) = wbmax/(1.+500./(ph(il,1)-plfc(il))) |
---|
[3571] | 615 | ELSE IF (NINT(flag_wb)==2) THEN |
---|
[2374] | 616 | wbeff(il) = wbmax*(0.01*(ph(il,1)-plfc(il)))**2 |
---|
| 617 | END IF |
---|
| 618 | END IF |
---|
| 619 | END DO |
---|
| 620 | |
---|
| 621 | !CR:Compute k at plfc |
---|
| 622 | DO il=1,ncum |
---|
| 623 | klfc(il)=nl |
---|
| 624 | ENDDO |
---|
| 625 | DO k=1,nl |
---|
| 626 | DO il=1,ncum |
---|
| 627 | if ((plfc(il).lt.ph(il,k)).and.(plfc(il).ge.ph(il,k+1))) then |
---|
| 628 | klfc(il)=k |
---|
| 629 | endif |
---|
| 630 | ENDDO |
---|
| 631 | ENDDO |
---|
| 632 | !RC |
---|
| 633 | |
---|
| 634 | DO il = 1, ncum |
---|
| 635 | ! jyg Modification du coef de wb*wb pour conformite avec papier Wake |
---|
| 636 | ! c cbmfalp(il) = alp2(il)/(0.5*wb*wb-Cin(il)) |
---|
| 637 | cbmfalp(il) = alp2(il)/(2.*wbeff(il)*wbeff(il)-cin(il)) |
---|
| 638 | !CR: Add large-scale component to the mass-flux |
---|
| 639 | !encore connu sous le nom "Experience du tube de dentifrice" |
---|
| 640 | if ((coef_clos_ls.gt.0.).and.(plfc(il).gt.0.)) then |
---|
| 641 | cbmfalp(il) = cbmfalp(il) - coef_clos_ls*min(0.,1./RG*omega(il,klfc(il))) |
---|
| 642 | endif |
---|
| 643 | !RC |
---|
| 644 | IF (cbmfalp(il)==0 .AND. alp2(il)/=0.) THEN |
---|
| 645 | WRITE (lunout, *) 'cv3p2_closure cbmfalp=0 and alp NE 0 il alp2 alp cin ' , & |
---|
| 646 | il, alp2(il), alp(il), cin(il) |
---|
| 647 | abort_message = '' |
---|
| 648 | CALL abort_physic(modname, abort_message, 1) |
---|
| 649 | END IF |
---|
| 650 | cbmfmax(il) = sigmax*wb2(il)*100.*p(il, icb(il))/(rrd*tv(il,icb(il))) |
---|
| 651 | END DO |
---|
| 652 | |
---|
[2398] | 653 | !jyg< |
---|
| 654 | IF (OK_intermittent) THEN |
---|
| 655 | DO il = 1, ncum |
---|
| 656 | IF (cbmflim(il)>1.E-6) THEN |
---|
| 657 | cbmfalpb(il) = min(cbmfalp(il), (cbmfmax(il)-beta*cbmf0(il))/(1.-beta)) |
---|
| 658 | ! print*,'cbmfalpb',cbmfalpb(il),cbmfmax(il) |
---|
| 659 | END IF |
---|
| 660 | END DO |
---|
| 661 | ELSE |
---|
| 662 | !>jyg |
---|
[2374] | 663 | DO il = 1, ncum |
---|
| 664 | IF (cbmflim(il)>1.E-6) THEN |
---|
| 665 | ! ATTENTION TEST CR |
---|
| 666 | ! if (cbmfmax(il).lt.1.e-12) then |
---|
| 667 | cbmfalpb(il) = min(cbmfalp(il), cbmfmax(il)) |
---|
| 668 | ! else |
---|
| 669 | ! cbmfalpb(il) = cbmfalp(il) |
---|
| 670 | ! endif |
---|
| 671 | ! print*,'cbmfalpb',cbmfalp(il),cbmfmax(il) |
---|
| 672 | END IF |
---|
| 673 | END DO |
---|
[2398] | 674 | ENDIF !(OK_intermittent) |
---|
[2374] | 675 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres cbmfalpb: cbmfalpb ',cbmfalpb(igout) |
---|
| 676 | |
---|
| 677 | ! c 2. Compute coefficient and apply correction |
---|
| 678 | |
---|
| 679 | DO il = 1, ncum |
---|
| 680 | coef(il) = (cbmfalpb(il)+1.E-10)/(cbmflim(il)+1.E-10) |
---|
| 681 | END DO |
---|
| 682 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres coef_plantePLUS' |
---|
| 683 | |
---|
| 684 | DO k = 1, nl |
---|
| 685 | DO il = 1, ncum |
---|
| 686 | IF (k>=icb(il)+1 .AND. k<=inb(il)) THEN |
---|
| 687 | amu = beta*sig(il, k)*w0(il, k) + (1.-beta)*coef(il)*siglim(il, k)*wlim(il, k) |
---|
| 688 | w0(il, k) = wlim(il, k) |
---|
| 689 | w0(il, k) = max(w0(il,k), 1.E-10) |
---|
| 690 | sig(il, k) = amu/w0(il, k) |
---|
| 691 | sig(il, k) = min(sig(il,k), 1.) |
---|
| 692 | ! c amu = 0.5*(SIG(il,k)+sigold(il,k))*W0(il,k) |
---|
| 693 | !jyg m(il, k) = amu*0.007*p(il, k)*(ph(il,k)-ph(il,k+1))/tv(il, k) |
---|
| 694 | m(il, k) = amu*rhodp(il,k) |
---|
| 695 | END IF |
---|
| 696 | END DO |
---|
| 697 | END DO |
---|
| 698 | ! jyg2 |
---|
| 699 | DO il = 1, ncum |
---|
| 700 | w0(il, icb(il)) = 0.5*w0(il, icb(il)+1) |
---|
| 701 | m(il, icb(il)) = 0.5*m(il, icb(il)+1)*(ph(il,icb(il))-ph(il,icb(il)+1))/ & |
---|
| 702 | (ph(il,icb(il)+1)-ph(il,icb(il)+2)) |
---|
| 703 | sig(il, icb(il)) = sig(il, icb(il)+1) |
---|
| 704 | sig(il, icb(il)-1) = sig(il, icb(il)) |
---|
| 705 | END DO |
---|
| 706 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres w0_sig_M: w0, sig ', & |
---|
| 707 | (k,w0(igout,k),sig(igout,k), k=icb(igout),inb(igout)) |
---|
| 708 | |
---|
[2420] | 709 | !CR: new erosion of adiabatic ascent: modification of m |
---|
| 710 | !computation of the sum of ascending fluxes |
---|
| 711 | IF (iflag_mix_adiab.eq.1) THEN |
---|
| 712 | |
---|
| 713 | !Verification sum(me)=sum(m) |
---|
[2502] | 714 | DO k = 1,nd |
---|
[2420] | 715 | DO il = 1, ncum |
---|
| 716 | md(il,k)=0. |
---|
| 717 | med(il,k)=0. |
---|
| 718 | ENDDO |
---|
| 719 | ENDDO |
---|
| 720 | |
---|
| 721 | DO k = nl,1,-1 |
---|
| 722 | DO il = 1, ncum |
---|
| 723 | md(il,k)=md(il,k+1)+m(il,k+1) |
---|
| 724 | ENDDO |
---|
| 725 | ENDDO |
---|
| 726 | |
---|
| 727 | DO k = nl,1,-1 |
---|
| 728 | DO il = 1, ncum |
---|
| 729 | IF ((k>=(icb(il))) .AND. (k<=inb(il))) THEN |
---|
| 730 | mad(il,k)=mad(il,k+1)+m(il,k+1) |
---|
| 731 | ENDIF |
---|
| 732 | ! print*,"mad",il,k,mad(il,k) |
---|
| 733 | ENDDO |
---|
| 734 | ENDDO |
---|
| 735 | |
---|
| 736 | !CR: erosion of each adiabatic ascent during its ascent |
---|
| 737 | |
---|
| 738 | !Computation of erosion coefficient beta_coef |
---|
| 739 | DO k = 1, nl |
---|
| 740 | DO il = 1, ncum |
---|
| 741 | IF ((k>=(icb(il)+1)) .AND. (k<=inb(il)) .AND. (mlim(il,k).gt.0.)) THEN |
---|
| 742 | ! print*,"beta_coef",il,k,icb(il),inb(il),buoy(il,k),tv(il,k),wlim(il,k),wlim(il,k+1) |
---|
| 743 | beta_coef(il,k)=RG*coef_peel*buoy(il,k)/tv(il,k)/((wlim(il,k)+wlim(il,k+1))/2.)**2 |
---|
| 744 | ELSE |
---|
| 745 | beta_coef(il,k)=0. |
---|
| 746 | ENDIF |
---|
| 747 | ENDDO |
---|
| 748 | ENDDO |
---|
| 749 | |
---|
| 750 | ! print*,"apres beta_coef" |
---|
| 751 | |
---|
| 752 | DO k = 1, nl |
---|
| 753 | DO il = 1, ncum |
---|
| 754 | |
---|
| 755 | IF ((k>=(icb(il)+1)) .AND. (k<=inb(il))) THEN |
---|
| 756 | |
---|
| 757 | ! print*,"dz",il,k,tv(il, k-1) |
---|
| 758 | dz = (ph(il,k-1)-ph(il,k))/(p(il, k-1)/(rrd*tv(il, k-1))*RG) |
---|
| 759 | betalim(il,k)=betalim(il,k-1)*exp(-1.*beta_coef(il,k-1)*dz) |
---|
| 760 | ! betalim(il,k)=betalim(il,k-1)*exp(-RG*coef_peel*buoy(il,k-1)/tv(il,k-1)/5.**2*dz) |
---|
| 761 | ! print*,"me",il,k,mlim(il,k),buoy(il,k),wlim(il,k),mad(il,k) |
---|
| 762 | dz = (ph(il,k)-ph(il,k+1))/(p(il, k)/(rrd*tv(il, k))*RG) |
---|
| 763 | ! me(il,k)=betalim(il,k)*(m(il,k)+RG*coef_peel*buoy(il,k)/tv(il,k)/((wlim(il,k)+wlim(il,k+1))/2.)**2*dz*mad(il,k)) |
---|
| 764 | me(il,k)=betalim(il,k)*(m(il,k)+beta_coef(il,k)*dz*mad(il,k)) |
---|
| 765 | ! print*,"B/w2",il,k,RG*coef_peel*buoy(il,k)/tv(il,k)/((wlim(il,k)+wlim(il,k+1))/2.)**2*dz |
---|
| 766 | |
---|
| 767 | END IF |
---|
| 768 | |
---|
| 769 | !Modification of m |
---|
| 770 | m(il,k)=me(il,k) |
---|
| 771 | END DO |
---|
| 772 | END DO |
---|
| 773 | |
---|
| 774 | ! DO il = 1, ncum |
---|
| 775 | ! dz = (ph(il,icb(il))-ph(il,icb(il)+1))/(p(il, icb(il))/(rrd*tv(il, icb(il)))*RG) |
---|
| 776 | ! m(il,icb(il))=m(il,icb(il))+RG*coef_peel*buoy(il,icb(il))/tv(il,icb(il)) & |
---|
| 777 | ! /((wlim(il,icb(il))+wlim(il,icb(il)+1))/2.)**2*dz*mad(il,icb(il)) |
---|
| 778 | ! print*,"wlim(icb)",icb(il),wlim(il,icb(il)),m(il,icb(il)) |
---|
| 779 | ! ENDDO |
---|
| 780 | |
---|
| 781 | !Verification sum(me)=sum(m) |
---|
| 782 | DO k = nl,1,-1 |
---|
| 783 | DO il = 1, ncum |
---|
| 784 | med(il,k)=med(il,k+1)+m(il,k+1) |
---|
| 785 | ! print*,"somme(me),somme(m)",il,k,icb(il),med(il,k),md(il,k),me(il,k),m(il,k),wlim(il,k) |
---|
| 786 | ENDDO |
---|
| 787 | ENDDO |
---|
| 788 | |
---|
| 789 | |
---|
| 790 | ENDIF !(iflag_mix_adiab) |
---|
| 791 | !RC |
---|
| 792 | |
---|
[2374] | 793 | ! c 3. Compute final cloud base mass flux; |
---|
| 794 | ! c set iflag to 3 if cloud base mass flux is exceedingly small and is |
---|
| 795 | ! c decreasing (i.e. if the final mass flux (cbmflast) is greater than |
---|
| 796 | ! c the target mass flux (cbmfalpb)). |
---|
[2398] | 797 | ! c If(ok_convstop): set iflag to 4 if no positive buoyancy has been met |
---|
[2374] | 798 | |
---|
| 799 | !jyg DO il = 1, ncum |
---|
| 800 | !jyg cbmflast(il) = 0. |
---|
| 801 | !jyg END DO |
---|
| 802 | |
---|
| 803 | DO k = 1, nl |
---|
| 804 | DO il = 1, ncum |
---|
| 805 | IF (k>=icb(il) .AND. k<=inb(il)) THEN |
---|
| 806 | !IMpropo?? IF ((k.ge.(icb(il)+1)).and.(k.le.inb(il))) THEN |
---|
| 807 | cbmflast(il) = cbmflast(il) + m(il, k) |
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| 808 | END IF |
---|
| 809 | END DO |
---|
| 810 | END DO |
---|
| 811 | IF (prt_level>=20) PRINT *, 'cv3p2_closure apres cbmflast: cbmflast ',cbmflast(igout) |
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| 812 | |
---|
| 813 | DO il = 1, ncum |
---|
| 814 | IF (cbmflast(il)<1.E-6 .AND. cbmflast(il)>=cbmfalpb(il)) THEN |
---|
| 815 | iflag(il) = 3 |
---|
| 816 | END IF |
---|
| 817 | END DO |
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| 818 | |
---|
[2398] | 819 | !jyg< |
---|
| 820 | IF (ok_convstop) THEN |
---|
| 821 | DO il = 1, ncum |
---|
| 822 | IF (dtminmax(il) .LE. 0.) THEN |
---|
| 823 | iflag(il) = 4 |
---|
| 824 | END IF |
---|
| 825 | END DO |
---|
| 826 | ELSE |
---|
| 827 | !>jyg |
---|
[2374] | 828 | DO k = 1, nl |
---|
| 829 | DO il = 1, ncum |
---|
| 830 | IF (iflag(il)>=3) THEN |
---|
| 831 | m(il, k) = 0. |
---|
| 832 | sig(il, k) = 0. |
---|
| 833 | w0(il, k) = 0. |
---|
| 834 | END IF |
---|
| 835 | END DO |
---|
| 836 | END DO |
---|
[2398] | 837 | ENDIF ! (ok_convstop) |
---|
[2374] | 838 | ! |
---|
| 839 | IF (prt_level >= 10) THEN |
---|
| 840 | print *,'cv3p2_closure: iflag ',iflag(igout) |
---|
| 841 | ENDIF |
---|
| 842 | ! |
---|
| 843 | |
---|
| 844 | ! c 4. Introduce a correcting factor for coef, in order to obtain an |
---|
| 845 | ! effective |
---|
| 846 | ! c sigdz larger in the present case (using cv3p2_closure) than in the |
---|
| 847 | ! old |
---|
| 848 | ! c closure (using cv3_closure). |
---|
| 849 | IF (1==0) THEN |
---|
| 850 | DO il = 1, ncum |
---|
| 851 | ! c coef(il) = 2.*coef(il) |
---|
| 852 | coef(il) = 5.*coef(il) |
---|
| 853 | END DO |
---|
| 854 | ! version CVS du ..2008 |
---|
| 855 | ELSE |
---|
| 856 | IF (iflag_cvl_sigd==0) THEN |
---|
| 857 | ! test pour verifier qu on fait la meme chose qu avant: sid constant |
---|
| 858 | coef(1:ncum) = 1. |
---|
| 859 | ELSE |
---|
| 860 | coef(1:ncum) = min(2.*coef(1:ncum), 5.) |
---|
| 861 | coef(1:ncum) = max(2.*coef(1:ncum), 0.2) |
---|
| 862 | END IF |
---|
| 863 | END IF |
---|
| 864 | |
---|
| 865 | IF (prt_level>=20) PRINT *, 'cv3p2_closure FIN' |
---|
| 866 | RETURN |
---|
| 867 | END SUBROUTINE cv3p2_closure |
---|
| 868 | |
---|
| 869 | |
---|