phylmd/CV30_routines/cv30_undilute2.f

module cv30_undilute2_m

  implicit none

contains

  SUBROUTINE cv30_undilute2(icb, icbs, nk, tnk, qnk, gznk, t, qs, gz, p, h, &
       tv, lv, pbase, buoybase, plcl, inb, tp, tvp, clw, hp, ep, buoy)

    ! Undilute (adiabatic) updraft, second part. Purpose: find the
    ! rest of the lifted parcel temperatures; compute the
    ! precipitation efficiencies and the fraction of precipitation
    ! falling outside of cloud; find the level of neutral buoyancy.

    ! Vertical profile of buoyancy computed here (use of buoybase).

    use conema3_m, only: epmax
    use cv30_param_m, only: minorig, nl
    use cv_thermo_m, only: cl, clmcpv, cpd, cpv, eps, lv0, rrv
    USE dimphy, ONLY: klon, klev

    integer, intent(in):: icb(:), icbs(:) ! (ncum)
    ! icbs is the first level above LCL (may differ from icb)

    integer, intent(in):: nk(klon)
    real, intent(in):: tnk(klon), qnk(klon), gznk(klon)
    real, intent(in):: t(klon, klev), qs(klon, klev), gz(klon, klev)
    real, intent(in):: p(klon, klev), h(klon, klev)
    real, intent(in):: tv(klon, klev), lv(klon, klev)
    real, intent(in):: pbase(klon), buoybase(klon), plcl(klon)

    ! outputs:
    integer, intent(out):: inb(:) ! (ncum)
    ! first model level above the level of neutral buoyancy of the
    ! parcel (1 <= inb <= nl - 1)

    real tp(klon, klev), tvp(klon, klev), clw(klon, klev)
    ! condensed water not removed from tvp
    real hp(klon, klev), ep(klon, klev)
    real buoy(klon, klev)

    ! Local:

    integer ncum

    real, parameter:: pbcrit = 150.
    ! critical cloud depth (mbar) beneath which the precipitation
    ! efficiency is assumed to be zero

    real, parameter:: ptcrit = 500.
    ! cloud depth (mbar) above which the precipitation efficiency is
    ! assumed to be unity

    real, parameter:: dtovsh = - 0.2 ! dT for overshoot

    integer i, k
    real tg, qg, ahg, alv, s, tc, es, denom
    real pden
    real ah0(klon)

    !---------------------------------------------------------------------

    ncum = size(icb)

    ! SOME INITIALIZATIONS

    do k = 1, nl
       do i = 1, ncum
          ep(i, k) = 0.
       end do
    end do

    ! FIND THE REST OF THE LIFTED PARCEL TEMPERATURES

    ! The procedure is to solve the equation.
    ! cp * tp + L * qp + phi = cp * tnk + L * qnk + gznk.

    ! Calculate certain parcel quantities, including static energy

    do i = 1, ncum
       ah0(i) = (cpd * (1. - qnk(i)) + cl * qnk(i)) * tnk(i) &
            + qnk(i) * (lv0 - clmcpv * (tnk(i) - 273.15)) + gznk(i)
    end do

    ! Find lifted parcel quantities above cloud base

    do k = minorig + 1, nl
       do i = 1, ncum
          if (k >= (icbs(i) + 1)) then
             tg = t(i, k)
             qg = qs(i, k)
             alv = lv0 - clmcpv * (t(i, k) - 273.15)

             ! First iteration.

             s = cpd * (1. - qnk(i)) + cl * qnk(i) &
                  + alv * alv * qg / (rrv * t(i, k) * t(i, k))
             s = 1. / s

             ahg = cpd * tg + (cl - cpd) * qnk(i) * tg + alv * qg + gz(i, k)
             tg = tg + s * (ah0(i) - ahg)

             tc = tg - 273.15
             denom = 243.5 + tc
             denom = MAX(denom, 1.)

             es = 6.112 * exp(17.67 * tc / denom)

             qg = eps * es / (p(i, k) - es * (1. - eps))

             ! Second iteration.

             ahg = cpd * tg + (cl - cpd) * qnk(i) * tg + alv * qg + gz(i, k)
             tg = tg + s * (ah0(i) - ahg)

             tc = tg - 273.15
             denom = 243.5 + tc
             denom = MAX(denom, 1.)

             es = 6.112 * exp(17.67 * tc / denom)

             qg = eps * es / (p(i, k) - es * (1. - eps))

             alv = lv0 - clmcpv * (t(i, k) - 273.15)

             ! no approximation:
             tp(i, k) = (ah0(i) - gz(i, k) - alv * qg) &
                  / (cpd + (cl - cpd) * qnk(i))

             clw(i, k) = qnk(i) - qg
             clw(i, k) = max(0., clw(i, k))
             ! qg utilise au lieu du vrai mixing ratio rg:
             tvp(i, k) = tp(i, k) * (1. + qg / eps - qnk(i)) ! whole thing
          endif
       end do
    end do

    ! SET THE PRECIPITATION EFFICIENCIES
    ! It MAY BE a FUNCTION OF TP(I), P(I) AND CLW(I)
    do k = 1, nl
       do i = 1, ncum
          pden = ptcrit - pbcrit
          ep(i, k) = (plcl(i) - p(i, k) - pbcrit) / pden * epmax
          ep(i, k) = max(ep(i, k), 0.)
          ep(i, k) = min(ep(i, k), epmax)
       end do
    end do

    ! CALCULATE VIRTUAL TEMPERATURE AND LIFTED PARCEL
    ! VIRTUAL TEMPERATURE

    ! tvp est calcule en une seule fois, et sans retirer
    ! l'eau condensee (~> reversible CAPE)
    do i = 1, ncum
       tp(i, nl + 1) = tp(i, nl)
    end do

    ! EFFECTIVE VERTICAL PROFILE OF BUOYANCY:

    ! first estimate of buoyancy:
    do i = 1, ncum
       do k = 1, nl
          buoy(i, k) = tvp(i, k) - tv(i, k)
       end do
    end do

    ! set buoyancy = buoybase for all levels below base
    ! for safety, set buoy(icb) = buoybase
    do i = 1, ncum
       do k = 1, nl
          if ((k >= icb(i)) .and. (k <= nl) .and. (p(i, k) >= pbase(i))) then
             buoy(i, k) = buoybase(i)
          endif
       end do
       buoy(icb(i), k) = buoybase(i)
    end do

    ! Compute inb:

    inb = nl - 1

    do i = 1, ncum
       do k = 1, nl - 1
          if ((k >= icb(i)) .and. (buoy(i, k) < dtovsh)) then
             inb(i) = MIN(inb(i), k)
          endif
       end do
    end do

    ! CALCULATE LIQUID WATER STATIC ENERGY OF LIFTED PARCEL

    do k = 1, nl + 1
       do i = 1, ncum
          hp(i, k) = h(i, k)
       enddo
    enddo

    do k = minorig + 1, nl
       do i = 1, ncum
          if (k >= icb(i) .and. k <= inb(i)) hp(i, k) = h(i, nk(i)) &
               + (lv(i, k) + (cpd - cpv) * t(i, k)) * ep(i, k) * clw(i, k)
       end do
    end do

  end SUBROUTINE cv30_undilute2

end module cv30_undilute2_m
1	guez	185	module cv30_undilute2_m
2	guez	47
3	guez	183	implicit none
4	guez	47
5	guez	183	contains
6	guez	47
7	guez	195	SUBROUTINE cv30_undilute2(icb, icbs, nk, tnk, qnk, gznk, t, qs, gz, p, h, &
8			tv, lv, pbase, buoybase, plcl, inb, tp, tvp, clw, hp, ep, buoy)
9	guez	47
10	guez	187	! Undilute (adiabatic) updraft, second part. Purpose: find the
11			! rest of the lifted parcel temperatures; compute the
12			! precipitation efficiencies and the fraction of precipitation
13			! falling outside of cloud; find the level of neutral buoyancy.
14	guez	47
15	guez	183	! Vertical profile of buoyancy computed here (use of buoybase).
16	guez	47
17	guez	183	use conema3_m, only: epmax
18	guez	195	use cv30_param_m, only: minorig, nl
19	guez	190	use cv_thermo_m, only: cl, clmcpv, cpd, cpv, eps, lv0, rrv
20	guez	187	USE dimphy, ONLY: klon, klev
21	guez	47
22	guez	195	integer, intent(in):: icb(:), icbs(:) ! (ncum)
23	guez	187	! icbs is the first level above LCL (may differ from icb)
24
25			integer, intent(in):: nk(klon)
26			real, intent(in):: tnk(klon), qnk(klon), gznk(klon)
27			real, intent(in):: t(klon, klev), qs(klon, klev), gz(klon, klev)
28			real, intent(in):: p(klon, klev), h(klon, klev)
29			real, intent(in):: tv(klon, klev), lv(klon, klev)
30			real, intent(in):: pbase(klon), buoybase(klon), plcl(klon)
31
32	guez	183	! outputs:
33	guez	187	integer, intent(out):: inb(:) ! (ncum)
34			! first model level above the level of neutral buoyancy of the
35	guez	192	! parcel (1 <= inb <= nl - 1)
36	guez	187
37			real tp(klon, klev), tvp(klon, klev), clw(klon, klev)
38	guez	183	! condensed water not removed from tvp
39	guez	195	real hp(klon, klev), ep(klon, klev)
40	guez	187	real buoy(klon, klev)
41	guez	47
42	guez	183	! Local:
43	guez	195
44			integer ncum
45
46			real, parameter:: pbcrit = 150.
47			! critical cloud depth (mbar) beneath which the precipitation
48			! efficiency is assumed to be zero
49
50			real, parameter:: ptcrit = 500.
51			! cloud depth (mbar) above which the precipitation efficiency is
52			! assumed to be unity
53
54			real, parameter:: dtovsh = - 0.2 ! dT for overshoot
55
56	guez	183	integer i, k
57			real tg, qg, ahg, alv, s, tc, es, denom
58			real pden
59	guez	187	real ah0(klon)
60	guez	47
61	guez	183	!---------------------------------------------------------------------
62	guez	47
63	guez	195	ncum = size(icb)
64
65	guez	183	! SOME INITIALIZATIONS
66	guez	47
67	guez	183	do k = 1, nl
68			do i = 1, ncum
69	guez	195	ep(i, k) = 0.
70	guez	183	end do
71			end do
72	guez	47
73	guez	183	! FIND THE REST OF THE LIFTED PARCEL TEMPERATURES
74	guez	47
75	guez	183	! The procedure is to solve the equation.
76			! cp * tp + L * qp + phi = cp * tnk + L * qnk + gznk.
77	guez	47
78	guez	183	! Calculate certain parcel quantities, including static energy
79	guez	47
80	guez	183	do i = 1, ncum
81			ah0(i) = (cpd * (1. - qnk(i)) + cl * qnk(i)) * tnk(i) &
82			+ qnk(i) * (lv0 - clmcpv * (tnk(i) - 273.15)) + gznk(i)
83			end do
84	guez	47
85	guez	183	! Find lifted parcel quantities above cloud base
86	guez	47
87	guez	183	do k = minorig + 1, nl
88			do i = 1, ncum
89			if (k >= (icbs(i) + 1)) then
90			tg = t(i, k)
91			qg = qs(i, k)
92			alv = lv0 - clmcpv * (t(i, k) - 273.15)
93	guez	47
94	guez	183	! First iteration.
95	guez	47
96	guez	183	s = cpd * (1. - qnk(i)) + cl * qnk(i) &
97			+ alv * alv * qg / (rrv * t(i, k) * t(i, k))
98			s = 1. / s
99	guez	47
100	guez	183	ahg = cpd * tg + (cl - cpd) * qnk(i) * tg + alv * qg + gz(i, k)
101			tg = tg + s * (ah0(i) - ahg)
102	guez	47
103	guez	183	tc = tg - 273.15
104			denom = 243.5 + tc
105	guez	195	denom = MAX(denom, 1.)
106	guez	47
107	guez	183	es = 6.112 * exp(17.67 * tc / denom)
108	guez	47
109	guez	183	qg = eps * es / (p(i, k) - es * (1. - eps))
110	guez	47
111	guez	183	! Second iteration.
112	guez	47
113	guez	183	ahg = cpd * tg + (cl - cpd) * qnk(i) * tg + alv * qg + gz(i, k)
114			tg = tg + s * (ah0(i) - ahg)
115	guez	47
116	guez	183	tc = tg - 273.15
117			denom = 243.5 + tc
118	guez	195	denom = MAX(denom, 1.)
119	guez	47
120	guez	183	es = 6.112 * exp(17.67 * tc / denom)
121
122			qg = eps * es / (p(i, k) - es * (1. - eps))
123
124			alv = lv0 - clmcpv * (t(i, k) - 273.15)
125
126			! no approximation:
127			tp(i, k) = (ah0(i) - gz(i, k) - alv * qg) &
128			/ (cpd + (cl - cpd) * qnk(i))
129
130			clw(i, k) = qnk(i) - qg
131	guez	195	clw(i, k) = max(0., clw(i, k))
132	guez	183	! qg utilise au lieu du vrai mixing ratio rg:
133			tvp(i, k) = tp(i, k) * (1. + qg / eps - qnk(i)) ! whole thing
134			endif
135			end do
136			end do
137
138	guez	195	! SET THE PRECIPITATION EFFICIENCIES
139			! It MAY BE a FUNCTION OF TP(I), P(I) AND CLW(I)
140	guez	183	do k = 1, nl
141			do i = 1, ncum
142			pden = ptcrit - pbcrit
143			ep(i, k) = (plcl(i) - p(i, k) - pbcrit) / pden * epmax
144	guez	195	ep(i, k) = max(ep(i, k), 0.)
145	guez	192	ep(i, k) = min(ep(i, k), epmax)
146	guez	183	end do
147			end do
148
149			! CALCULATE VIRTUAL TEMPERATURE AND LIFTED PARCEL
150			! VIRTUAL TEMPERATURE
151
152			! tvp est calcule en une seule fois, et sans retirer
153			! l'eau condensee (~> reversible CAPE)
154			do i = 1, ncum
155	guez	186	tp(i, nl + 1) = tp(i, nl)
156	guez	183	end do
157
158			! EFFECTIVE VERTICAL PROFILE OF BUOYANCY:
159
160			! first estimate of buoyancy:
161			do i = 1, ncum
162			do k = 1, nl
163			buoy(i, k) = tvp(i, k) - tv(i, k)
164			end do
165			end do
166
167			! set buoyancy = buoybase for all levels below base
168			! for safety, set buoy(icb) = buoybase
169			do i = 1, ncum
170			do k = 1, nl
171			if ((k >= icb(i)) .and. (k <= nl) .and. (p(i, k) >= pbase(i))) then
172			buoy(i, k) = buoybase(i)
173			endif
174			end do
175			buoy(icb(i), k) = buoybase(i)
176			end do
177
178	guez	187	! Compute inb:
179	guez	183
180	guez	187	inb = nl - 1
181	guez	183
182			do i = 1, ncum
183			do k = 1, nl - 1
184			if ((k >= icb(i)) .and. (buoy(i, k) < dtovsh)) then
185			inb(i) = MIN(inb(i), k)
186			endif
187			end do
188			end do
189
190			! CALCULATE LIQUID WATER STATIC ENERGY OF LIFTED PARCEL
191
192	guez	186	do k = 1, nl + 1
193	guez	183	do i = 1, ncum
194			hp(i, k) = h(i, k)
195			enddo
196			enddo
197
198			do k = minorig + 1, nl
199			do i = 1, ncum
200			if (k >= icb(i) .and. k <= inb(i)) hp(i, k) = h(i, nk(i)) &
201			+ (lv(i, k) + (cpd - cpv) * t(i, k)) * ep(i, k) * clw(i, k)
202			end do
203			end do
204
205	guez	185	end SUBROUTINE cv30_undilute2
206	guez	183
207	guez	185	end module cv30_undilute2_m