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fv_mapz.F90
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!***********************************************************************
!* GNU Lesser General Public License
!*
!* This file is part of the FV3 dynamical core.
!*
!* The FV3 dynamical core is free software: you can redistribute it
!* and/or modify it under the terms of the
!* GNU Lesser General Public License as published by the
!* Free Software Foundation, either version 3 of the License, or
!* (at your option) any later version.
!*
!* The FV3 dynamical core is distributed in the hope that it will be
!* useful, but WITHOUT ANYWARRANTY; without even the implied warranty
!* of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
!* See the GNU General Public License for more details.
!*
!* You should have received a copy of the GNU Lesser General Public
!* License along with the FV3 dynamical core.
!* If not, see <http://www.gnu.org/licenses/>.
!***********************************************************************
!>@brief The module 'fv_mapz' contains the vertical mapping routines \cite lin2004vertically
!>@note April 12, 2012 -SJL: This revision may actually produce rounding level differences
!! due to the elimination of KS to compute pressure level for remapping.
module fv_mapz_mod
! Modules Included:
! <table>
! <tr>
! <th>Module Name</th>
! <th>Functions Included</th>
! </tr>
! <table>
! <tr>
! <td>constants_mod</td>
! <td>radius, pi=>pi_8, rvgas, rdgas, grav, hlv, hlf, cp_air, cp_vapor</td>
! </tr>
! <td>field_manager_mod</td>
! <td>MODEL_ATMOS</td>
! </tr>
! <tr>
! <td>fv_arrays_mod</td>
! <td>fv_grid_type</td>
! </tr>
! <tr>
! <td>fv_cmp_mod</td>
! <td>qs_init, fv_sat_adj</td>
! </tr>
! <tr>
! <td>fv_fill_mod</td>
! <td>fillz</td>
! </tr>
! <tr>
! <td>fv_grid_utils_mod</td>
! <td>g_sum, ptop_min</td>
! </tr>
! <tr>
! <td>fv_mp_mod</td>
! <td>is_master</td>
! </tr>
! <tr>
! <td>fv_timing_mod</td>
! <td>timing_on, timing_off</td>
! </tr>
! <tr>
! <td>fv_tracer2d_mod</td>
! <td>tracer_2d, tracer_2d_1L, tracer_2d_nested</td>
! </tr>
! <tr>
! <td>mpp_mod/td>
! <td>NOTE, mpp_error, get_unit, mpp_root_pe, mpp_pe</td>
! </tr>
! <tr>
! <td>mpp_domains_mod/td>
! <td> mpp_update_domains, domain2d</td>
! </tr>
! <tr>
! <td>tracer_manager_mod</td>
! <td>get_tracer_index</td>
! </tr>
! </table>
use constants_mod, only: radius, pi=>pi_8, rvgas, rdgas, grav, hlv, hlf, hls, cp_air, cp_vapor
use tracer_manager_mod,only: get_tracer_index
use field_manager_mod, only: MODEL_ATMOS
use fv_grid_utils_mod, only: g_sum, ptop_min
use fv_fill_mod, only: fillz
use mpp_domains_mod, only: mpp_update_domains, domain2d, mpp_global_sum, BITWISE_EFP_SUM, BITWISE_EXACT_SUM
use mpp_mod, only: NOTE, mpp_error, get_unit, mpp_root_pe, mpp_pe
use fv_arrays_mod, only: fv_grid_type, fv_flags_type
use fv_timing_mod, only: timing_on, timing_off
use fv_mp_mod, only: is_master
use fv_cmp_mod, only: qs_init, fv_sat_adj
implicit none
real, parameter:: consv_min= 0.001 !< below which no correction applies
real, parameter:: te_min= -1.e25
real, parameter:: t_min= 184. !< below which applies stricter constraint
real, parameter:: r2=1./2., r0=0.0
real, parameter:: r3 = 1./3., r23 = 2./3., r12 = 1./12.
real, parameter:: cv_vap = 3.*rvgas !< 1384.5
real, parameter:: cv_air = cp_air - rdgas !< = rdgas * (7/2-1) = 2.5*rdgas=717.68
! real, parameter:: c_ice = 2106. !< heat capacity of ice at 0.C
real, parameter:: c_ice = 1972. !< heat capacity of ice at -15.C
real, parameter:: c_liq = 4.1855e+3 !< GFS: heat capacity of water at 0C
! real, parameter:: c_liq = 4218. !< ECMWF-IFS
real, parameter:: cp_vap = cp_vapor !< 1846.
real, parameter:: tice = 273.16
logical, parameter :: w_limiter = .true.
real, parameter :: w_max = 90.
real, parameter :: w_min = -60.
real(kind=8) :: E_Flux = 0.
private
public compute_total_energy, Lagrangian_to_Eulerian, moist_cv, moist_cp, &
rst_remap, mappm, E_Flux, mapn_tracer, map1_q2
!---- version number -----
character(len=128) :: version = '$Id$'
character(len=128) :: tagname = '$Name$'
contains
!>@brief The subroutine 'Lagrangian_to_Eulerian' remaps deformed Lagrangian layers back to the reference Eulerian coordinate.
!>@details It also includes the entry point for calling fast microphysical processes. This is typically calle on the k_split loop.
subroutine Lagrangian_to_Eulerian(last_step, consv, ps, pe, delp, pkz, pk, &
mdt, pdt, km, is,ie,js,je, isd,ied,jsd,jed, &
nq, nwat, sphum, q_con, u, v, w, delz, pt, q, hs, r_vir, cp, &
akap, cappa, kord_mt, kord_wz, kord_tr, kord_tm, peln, te0_2d, &
ng, ua, va, omga, te, ws, fill, reproduce_sum, out_dt, dtdt, &
ptop, ak, bk, pfull, flagstruct, gridstruct, domain, do_sat_adj, &
hydrostatic, hybrid_z, do_omega, adiabatic, do_adiabatic_init, &
mfx, mfy, cx, cy, remap_option, gmao_remap)
logical, intent(in):: last_step
real, intent(in):: mdt !< remap time step
real, intent(in):: pdt !< phys time step
integer, intent(in):: km
integer, intent(in):: nq !< number of tracers (including h2o)
integer, intent(in):: nwat
integer, intent(in):: sphum !< index for water vapor (specific humidity)
integer, intent(in):: ng
integer, intent(in):: is,ie,isd,ied !< starting & ending X-Dir index
integer, intent(in):: js,je,jsd,jed !< starting & ending Y-Dir index
integer, intent(in):: kord_mt !< Mapping order for the vector winds
integer, intent(in):: kord_wz !< Mapping order/option for w
integer, intent(in):: kord_tr(nq) !< Mapping order for tracers
integer, intent(in):: kord_tm !< Mapping order for thermodynamics
real, intent(in):: consv !< factor for TE conservation
real, intent(in):: r_vir
real, intent(in):: cp
real, intent(in):: akap
real, intent(in):: hs(isd:ied,jsd:jed) !< surface geopotential
real(kind=8), intent(inout):: te0_2d(is:ie,js:je)
real, intent(in):: ws(is:ie,js:je)
logical, intent(in):: do_sat_adj
logical, intent(in):: fill !< fill negative tracers
logical, intent(in):: reproduce_sum
logical, intent(in):: do_omega, adiabatic, do_adiabatic_init
real, intent(in) :: ptop
real, intent(in) :: ak(km+1)
real, intent(in) :: bk(km+1)
real, intent(in):: pfull(km)
type(fv_grid_type), intent(IN), target :: gridstruct
type(fv_flags_type), intent(INOUT) :: flagstruct
type(domain2d), intent(INOUT) :: domain
! INPUT/OUTPUT
real, intent(inout):: pk(is:ie,js:je,km+1) !< pe to the kappa
real, intent(inout):: q(isd:ied,jsd:jed,km,*)
real, intent(inout):: delp(isd:ied,jsd:jed,km) !< pressure thickness
real, intent(inout):: pe(is-1:ie+1,km+1,js-1:je+1) !< pressure at layer edges
real, intent(inout):: ps(isd:ied,jsd:jed) !< surface pressure
! u-wind will be ghosted one latitude to the north upon exit
real, intent(inout):: u(isd:ied ,jsd:jed+1,km) !< u-wind (m/s)
real, intent(inout):: v(isd:ied+1,jsd:jed ,km) !< v-wind (m/s)
real, intent(inout):: w(isd: ,jsd: ,1:) !< vertical velocity (m/s)
real, intent(inout):: pt(isd:ied ,jsd:jed ,km) !< cp*virtual potential temperature
!< as input; output: temperature
real, intent(inout), dimension(isd:,jsd:,1:)::delz, q_con, cappa
logical, intent(in):: hydrostatic
logical, intent(in):: hybrid_z
logical, intent(in):: out_dt
real, intent(inout):: ua(isd:ied,jsd:jed,km) !< u-wind (m/s) on physics grid
real, intent(inout):: va(isd:ied,jsd:jed,km) !< v-wind (m/s) on physics grid
real, intent(inout):: omga(isd:ied,jsd:jed,km) !< vertical press. velocity (pascal/sec)
real, intent(inout):: peln(is:ie,km+1,js:je) !< log(pe)
real, intent(inout):: dtdt(is:ie,js:je,km)
real, intent(out):: pkz(is:ie,js:je,km) !< layer-mean pk for converting t to pt
real, intent(out):: te(isd:ied,jsd:jed,km)
! Mass fluxes
real, optional, intent(inout):: mfx(is:ie+1,js:je ,km) ! X-dir Mass Flux
real, optional, intent(inout):: mfy(is:ie ,js:je+1,km) ! Y-dir Mass Flux
! Courant numbers
real, optional, intent(inout):: cx(is:ie+1, jsd:jed,km)
real, optional, intent(inout):: cy(isd:ied ,js:je+1,km)
integer, intent(in):: remap_option, gmao_remap
! !DESCRIPTION:
!
! !REVISION HISTORY:
! SJL 03.11.04: Initial version for partial remapping
!
!-----------------------------------------------------------------------
real(kind=8), dimension(is:ie,js:je):: te_2d, zsum0, zsum1
real, dimension(is:ie,js:je):: dpln
real, dimension(is:ie,km) :: q2, dp2, w2
real, dimension(is:ie,km+1):: pe1, pe2, pk1, pk2, pn1, pn2, phis
real, dimension(is:ie+1,km+1):: pe0, pe3
real, dimension(is:ie):: gz, cvm
real(kind=8):: tesum, zsum, dtmp
real :: rcp, rg, tmp, tpe, rrg, bkh, k1k, dlnp
logical:: fast_mp_consv
integer:: i,j,k
integer:: nt, liq_wat, ice_wat, rainwat, snowwat, cld_amt, graupel, iq, n, kmp, kp, k_next
logical:: remap_t, remap_pt, remap_te
remap_t = .false.
remap_pt = .false.
remap_te = .false.
select case (remap_option)
case(0)
remap_t = .true.
case(1)
remap_pt = .true.
case(2)
remap_te = .true.
case default
print*, ' INVALID REMAP_OPTION '
stop
end select
select case (gmao_remap)
case(0)
! use GFDL schemes
case(1)
! GMAO linear remap
case(2)
! GMAO quadratic remap
case(3)
! GMAO cubic remap
case default
print*, ' INVALID GMAO_REMAP'
stop
end select
if (is_master() .and. flagstruct%fv_debug) then
print*, ''
select case (remap_option)
case(0)
print*, ' REMAPPING T in logP'
case(1)
print*, ' REMAPPING PT in P'
case(2)
print*, ' REMAPPING TE in logP'
end select
print*, ''
select case (gmao_remap)
case(0)
print*, ' Using GFDL schemes'
case(1)
print*, ' Using GMAO linear scheme'
case(2)
print*, ' Using GMAO quadratic scheme'
case(3)
print*, ' Using GMAO cubic scheme'
end select
! Total eergy conservation
print*, ''
print*, ' REMAPPING CONSV: ', consv
print*, ' REMAPPING CONSV_MIN: ', consv_min
print*, ''
endif
k1k = rdgas/cv_air ! akap / (1.-akap) = rg/Cv=0.4
rg = rdgas
rcp = 1./ cp
rrg = -rdgas/grav
#ifdef MAPL_MODE
select case(nwat)
case(1)
liq_wat = -1
ice_wat = -1
rainwat = -1
snowwat = -1
graupel = -1
cld_amt = -1
case(3)
liq_wat = 2
ice_wat = 3
rainwat = -1
snowwat = -1
graupel = -1
cld_amt = -1
case(6:7)
liq_wat = 2
ice_wat = 3
rainwat = 4
snowwat = 5
graupel = 6
cld_amt = 7
end select
#else
liq_wat = get_tracer_index (MODEL_ATMOS, 'liq_wat')
ice_wat = get_tracer_index (MODEL_ATMOS, 'ice_wat')
rainwat = get_tracer_index (MODEL_ATMOS, 'rainwat')
snowwat = get_tracer_index (MODEL_ATMOS, 'snowwat')
graupel = get_tracer_index (MODEL_ATMOS, 'graupel')
cld_amt = get_tracer_index (MODEL_ATMOS, 'cld_amt')
#endif
if ( do_sat_adj .and. nwat>=6 ) then
fast_mp_consv = (.not.do_adiabatic_init) .and. consv>consv_min
do k=1,km
kmp = k
if ( pfull(k) > 10.E2 ) exit
enddo
call qs_init(kmp)
endif
!$OMP parallel do default(none) shared(is,ie,js,je,km,pe,ptop,kord_tm,remap_t, &
!$OMP remap_pt,remap_te,mfy,mfx,cx,cy,hydrostatic, &
!$OMP pt,pk,rg,peln,q,nwat,liq_wat,rainwat,ice_wat,snowwat, &
!$OMP graupel,sphum,cappa,r_vir,rcp,cp,k1k,delp, &
!$OMP delz,akap,pkz,te,u,v,ps, gridstruct, &
!$OMP ak,bk,nq,isd,ied,jsd,jed,kord_tr,fill, adiabatic, &
!$OMP hs,w,ws,kord_wz,rrg,kord_mt,consv,remap_option,gmao_remap) &
!$OMP private(gz,cvm,bkh,dp2, &
!$OMP pe0,pe1,pe2,pe3,pk1,pk2,pn1,pn2,phis,q2,w2,dpln,dlnp)
do 1000 j=js,je+1
do k=1,km+1
do i=is,ie
pe1(i,k) = pe(i,k,j)
enddo
enddo
do i=is,ie
pe2(i, 1) = ptop
pe2(i,km+1) = pe(i,km+1,j)
enddo
if ( j /= (je+1) ) then
if (remap_t) then
! Remap T in logP
! Note: pt at this stage is Theta_v
if ( hydrostatic ) then
! Transform virtual pt to virtual Temp
do k=1,km
do i=is,ie
pt(i,j,k) = pt(i,j,k)*(pk(i,j,k+1)-pk(i,j,k))/(akap*(peln(i,k+1,j)-peln(i,k,j)))
enddo
enddo
else
! Transform "density pt" to "density temp"
do k=1,km
#ifdef MOIST_CAPPA
call moist_cv(is,ie,isd,ied,jsd,jed, km, j, k, nwat, sphum, liq_wat, rainwat, &
ice_wat, snowwat, graupel, q, gz, cvm)
do i=is,ie
cappa(i,j,k) = rdgas / ( rdgas + cvm(i)/(1.+r_vir*q(i,j,k,sphum)) )
pt(i,j,k) = pt(i,j,k)*exp(cappa(i,j,k)/(1.-cappa(i,j,k))*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
enddo
#else
do i=is,ie
pt(i,j,k) = pt(i,j,k)*exp(k1k*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
enddo
#endif
enddo
endif ! hydro test
elseif (remap_pt) then
! Remap PT in P
! pt is already virtual PT
elseif (remap_te) then
! Remap TE in logP
! Transform virtual pt to total energy
if ( hydrostatic ) then
call pkez(km, is, ie, js, je, j, pe, pk, akap, peln, pkz, ptop)
do i=is,ie
phis(i,km+1) = hs(i,j)
enddo
do k=km,1,-1
do i=is,ie
phis(i,k) = phis(i,k+1) + cp_air*pt(i,j,k)*(pk(i,j,k+1)-pk(i,j,k))
enddo
enddo
do k=1,km+1
do i=is,ie
phis(i,k) = phis(i,k) * pe(i,k,j)
enddo
enddo
! Compute cp*T + KE
do k=1,km
do i=is,ie
te(i,j,k) = 0.25*gridstruct%rsin2(i,j)*(u(i,j,k)**2+u(i,j+1,k)**2 + &
v(i,j,k)**2+v(i+1,j,k)**2 - &
(u(i,j,k)+u(i,j+1,k))*(v(i,j,k)+v(i+1,j,k))*gridstruct%cosa_s(i,j)) &
+ cp_air*pt(i,j,k)*pkz(i,j,k) &
+ (phis(i,k+1)-phis(i,k))/(pe(i,k+1,j)-pe(i,k,j))
enddo
enddo
else
! TE using 3D winds (pt is virtual potential temperature):
do i=is,ie
phis(i,km+1) = hs(i,j)
enddo
do k=km,1,-1
do i=is,ie
phis(i,k) = phis(i,k+1) - grav*delz(i,j,k)
enddo
enddo
do k=1,km+1
do i=is,ie
phis(i,k) = phis(i,k) * pe(i,k,j)
enddo
enddo
do k=1,km
#ifdef MOIST_CAPPA
call moist_cv(is,ie,isd,ied,jsd,jed, km, j, k, nwat, sphum, liq_wat, rainwat, &
ice_wat, snowwat, graupel, q, gz, cvm)
do i=is,ie
cappa(i,j,k) = rdgas / ( rdgas + cvm(i)/(1.+r_vir*q(i,j,k,sphum)) )
pkz(i,j,k) = exp(cappa(i,j,k)/(1.-cappa(i,j,k))*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
! TE = KE + Cv*T_v + PE
te(i,j,k) = 0.5*w(i,j,k)**2 + 0.25*gridstruct%rsin2(i,j)*( &
u(i,j,k)**2+u(i,j+1,k)**2 + v(i,j,k)**2+v(i+1,j,k)**2 - &
(u(i,j,k)+u(i,j+1,k))*(v(i,j,k)+v(i+1,j,k))*gridstruct%cosa_s(i,j)) &
+ cvm(i)*pt(i,j,k)*pkz(i,j,k) &
+ (phis(i,k+1)-phis(i,k))/(pe(i,k+1,j)-pe(i,k,j))
enddo
#else
do i=is,ie
pkz(i,j,k) = exp(k1k*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
! TE = KE + Cv*T_v + PE
te(i,j,k) = 0.5*w(i,j,k)**2 + 0.25*gridstruct%rsin2(i,j)*( &
u(i,j,k)**2+u(i,j+1,k)**2 + v(i,j,k)**2+v(i+1,j,k)**2 - &
(u(i,j,k)+u(i,j+1,k))*(v(i,j,k)+v(i+1,j,k))*gridstruct%cosa_s(i,j)) &
+ cv_air*pt(i,j,k)*pkz(i,j,k) &
+ (phis(i,k+1)-phis(i,k))/(pe(i,k+1,j)-pe(i,k,j))
enddo
#endif
enddo
endif ! hydro test
endif
! update ps
do i=is,ie
ps(i,j) = pe1(i,km+1)
enddo
!
! Hybrid sigma-P coordinate:
!
do k=2,km
do i=is,ie
pe2(i,k) = ak(k) + bk(k)*pe(i,km+1,j)
enddo
enddo
do k=1,km
do i=is,ie
dp2(i,k) = pe2(i,k+1) - pe2(i,k)
enddo
enddo
!------------------
! Compute p**Kappa
!------------------
do k=1,km+1
do i=is,ie
pk1(i,k) = pk(i,j,k)
pn1(i,k) = peln(i,k,j)
enddo
enddo
do i=is,ie
pn2(i, 1) = peln(i, 1,j)
pn2(i,km+1) = peln(i,km+1,j)
pk2(i, 1) = pk1(i, 1)
pk2(i,km+1) = pk1(i,km+1)
enddo
do k=2,km
do i=is,ie
pn2(i,k) = log(pe2(i,k))
pk2(i,k) = exp(akap*pn2(i,k))
enddo
enddo
if (remap_te) then
!----------------------------------
! map TE in log P
!----------------------------------
if ( gmao_remap > 0 ) then
call map1_gmao (km, pe1, te, &
km, pe2, te, &
is, ie, j, isd, ied, jsd, jed, akap, gmao_remap, P_MAP=1, conserv=.true.)
else
call map_scalar(km, pn1, te, gz, &
km, pn2, te, &
is, ie, j, isd, ied, jsd, jed, 1, abs(kord_tm), te_min)
endif
else
!----------------------------------
! map T or PT in log P
!----------------------------------
if ( gmao_remap > 0 ) then
call map1_gmao (km, pe1, pt, &
km, pe2, pt, &
is, ie, j, isd, ied, jsd, jed, akap, gmao_remap, P_MAP=1, conserv=.false.)
else
call map_scalar(km, pn1, pt, gz, &
km, pn2, pt, &
is, ie, j, isd, ied, jsd, jed, 1, abs(kord_tm), t_min)
endif
endif
!----------------
! Map constituents
!----------------
if( nq > 5 ) then
call mapn_tracer(nq, km, pe1, pe2, q, dp2, kord_tr, j, &
is, ie, isd, ied, jsd, jed, 0., fill)
elseif ( nq > 0 ) then
! Remap one tracer at a time
do iq=1,nq
call map1_q2(km, pe1, q(isd,jsd,1,iq), &
km, pe2, q2, dp2, &
is, ie, 0, kord_tr(iq), j, isd, ied, jsd, jed, 0.)
if (fill) call fillz(ie-is+1, km, 1, q2, dp2)
do k=1,km
do i=is,ie
q(i,j,k,iq) = q2(i,k)
enddo
enddo
enddo
endif
if ( .not. hydrostatic ) then
! Remap vertical wind:
call map1_ppm (km, pe1, w, ws(is,j), &
km, pe2, w, &
is, ie, j, isd, ied, jsd, jed, -2, kord_wz)
! Remap delz for hybrid sigma-p coordinate
do k=1,km
do i=is,ie
delz(i,j,k) = -delz(i,j,k) / delp(i,j,k) ! ="specific volume"/grav
enddo
enddo
call map1_ppm (km, pe1, delz, gz, &
km, pe2, delz, &
is, ie, j, isd, ied, jsd, jed, 1, abs(kord_wz))
do k=1,km
do i=is,ie
delz(i,j,k) = -delz(i,j,k)*dp2(i,k)
enddo
enddo
!Fix excessive w - momentum conserving --- sjl
! gz(:) used here as a temporary array
if ( w_limiter ) then
do k=1,km
do i=is,ie
w2(i,k) = w(i,j,k)
enddo
enddo
do k=1, km-1
do i=is,ie
if ( w2(i,k) > w_max ) then
gz(i) = (w2(i,k)-w_max) * dp2(i,k)
w2(i,k ) = w_max
w2(i,k+1) = w2(i,k+1) + gz(i)/dp2(i,k+1)
!print*, ' W_LIMITER down: ', i,j,k, w2(i,k:k+1), w(i,j,k:k+1)
elseif ( w2(i,k) < w_min ) then
gz(i) = (w2(i,k)-w_min) * dp2(i,k)
w2(i,k ) = w_min
w2(i,k+1) = w2(i,k+1) + gz(i)/dp2(i,k+1)
!print*, ' W_LIMITER down: ', i,j,k, w2(i,k:k+1), w(i,j,k:k+1)
endif
enddo
enddo
do k=km, 2, -1
do i=is,ie
if ( w2(i,k) > w_max ) then
gz(i) = (w2(i,k)-w_max) * dp2(i,k)
w2(i,k ) = w_max
w2(i,k-1) = w2(i,k-1) + gz(i)/dp2(i,k-1)
!print*, ' W_LIMITER up: ', i,j,k, w2(i,k-1:k), w(i,j,k-1:k)
elseif ( w2(i,k) < w_min ) then
gz(i) = (w2(i,k)-w_min) * dp2(i,k)
w2(i,k ) = w_min
w2(i,k-1) = w2(i,k-1) + gz(i)/dp2(i,k-1)
!print*, ' W_LIMITER up: ', i,j,k, w2(i,k-1:k), w(i,j,k-1:k)
endif
enddo
enddo
do i=is,ie
if (w2(i,1) > w_max*2. ) then
w2(i,1) = w_max*2 ! sink out of the top of the domain
!print*, ' W_LIMITER top limited: ', i,j,1, w2(i,1), w(i,j,1)
elseif (w2(i,1) < w_min*2. ) then
w2(i,1) = w_min*2.
!print*, ' W_LIMITER top limited: ', i,j,1, w2(i,1), w(i,j,1)
endif
enddo
do k=1,km
do i=is,ie
w(i,j,k) = w2(i,k)
enddo
enddo
endif
endif
endif !(j < je+1)
!------
! map u
!------
do i=is,ie+1
pe0(i,1) = ptop
enddo
do k=2,km+1
do i=is,ie
pe0(i,k) = 0.5*(pe(i,k,j-1)+pe(i,k,j))
enddo
enddo
do k=1,km+1
bkh = 0.5*bk(k)
do i=is,ie
pe3(i,k) = ak(k) + bkh*(pe(i,km+1,j-1)+pe(i,km+1,j))
enddo
enddo
call map1_ppm( km, pe0(is:ie,:), u, gz, &
km, pe3(is:ie,:), u, &
is, ie, j, isd, ied, jsd, jed+1, -1, kord_mt)
if (present(mfy)) then
call map1_ppm( km, pe0(is:ie,:), mfy, gz, &
km, pe3(is:ie,:), mfy, &
is, ie, j, is, ie, js, je+1, -1, kord_mt)
endif
if (present(cy)) then
call map1_ppm( km, pe0(is:ie,:), cy, gz, &
km, pe3(is:ie,:), cy, &
is, ie, j, isd, ied, js, je+1, -1, kord_mt)
endif
!------
! map v
!------
if (j < je+1) then
do k=2,km+1
do i=is,ie+1
pe0(i,k) = 0.5*(pe(i-1,k, j)+pe(i,k, j))
enddo
enddo
do k=1,km+1
bkh = 0.5*bk(k)
do i=is,ie+1
pe3(i,k) = ak(k) + bkh*(pe(i-1,km+1,j)+pe(i,km+1,j))
enddo
enddo
call map1_ppm (km, pe0, v, gz, &
km, pe3, v, is, ie+1, &
j, isd, ied+1, jsd, jed, -1, kord_mt)
if (present(mfx)) then
call map1_ppm (km, pe0, mfx, gz, &
km, pe3, mfx, is, ie+1, &
j, is, ie+1, js, je, -1, kord_mt)
endif
if (present(cx)) then
call map1_ppm (km, pe0, cx, gz, &
km, pe3, cx, is, ie+1, &
j, is, ie+1, jsd, jed, -1, kord_mt)
endif
endif ! (j < je+1)
1000 continue
! Update pressure variables and get new pkz, T_v, and omega
!$OMP parallel do default(none) shared(is,ie,js,je,km,pe,ptop,kord_tm,remap_t, &
!$OMP remap_pt,remap_te,mfy,mfx,cx,cy,hydrostatic, &
!$OMP pt,pk,rg,peln,q,nwat,liq_wat,rainwat,ice_wat,snowwat, &
!$OMP graupel,sphum,cappa,r_vir,rcp,cp,k1k,delp, &
!$OMP delz,akap,pkz,te,u,v,ps, gridstruct, &
!$OMP ak,bk,nq,isd,ied,jsd,jed,kord_tr,fill, &
!$OMP hs,w,ws,kord_wz,do_omega,omga,rrg,kord_mt) &
!$OMP private(gz,cvm,kp,k_next,bkh,dp2, &
!$OMP pe2,pe3,pk2,pn2,phis,tpe,dlnp,tmp)
do 2000 j=js,je
!----------
! Update pe
!----------
do i=is,ie
pe2(i, 1) = ptop
pe2(i,km+1) = pe(i,km+1,j)
enddo
do k=2,km
do i=is,ie
pe2(i,k) = ak(k) + bk(k)*pe(i,km+1,j)
enddo
enddo
do k=1,km+1
do i=is,ie
pe(i,k,j) = pe2(i,k)
enddo
enddo
!----------
! Update pk
!----------
do i=is,ie
pn2(i, 1) = peln(i, 1,j)
pn2(i,km+1) = peln(i,km+1,j)
pk2(i, 1) = pk(i,j, 1)
pk2(i,km+1) = pk(i,j,km+1)
enddo
do k=2,km
do i=is,ie
pn2(i,k) = log(pe2(i,k))
pk2(i,k) = exp(akap*pn2(i,k))
enddo
enddo
do k=1,km+1
do i=is,ie
pk(i,j,k) = pk2(i,k)
enddo
enddo
!------------
! update delp
!------------
do k=1,km
do i=is,ie
delp(i,j,k) = pe2(i,k+1) - pe2(i,k)
enddo
enddo
!------------
! update logP
!------------
do k=1,km+1
do i=is,ie
peln(i,k,j) = pn2(i,k)
enddo
enddo
!---------------------
! Compute pkz and T_v
!---------------------
if ( hydrostatic ) then
do k=1,km
do i=is,ie
pkz(i,j,k) = (pk(i,j,k+1)-pk(i,j,k))/(akap*(peln(i,k+1,j)-peln(i,k,j)))
enddo
enddo
if (.not.remap_t) then
if (remap_te) then
! Get updated T_v (store in pt)
do i=is,ie
gz(i) = hs(i,j)
enddo
do k=km,1,-1
do i=is,ie
tpe = te(i,j,k) - gz(i) - 0.25*gridstruct%rsin2(i,j)*( &
u(i,j,k)**2+u(i,j+1,k)**2 + v(i,j,k)**2+v(i+1,j,k)**2 - &
(u(i,j,k)+u(i,j+1,k))*(v(i,j,k)+v(i+1,j,k))*gridstruct%cosa_s(i,j) )
dlnp = rg*(peln(i,k+1,j) - peln(i,k,j))
tmp = tpe / (cp - pe(i,k,j)*dlnp/delp(i,j,k))
pt(i,j,k) = tmp
gz(i) = gz(i) + dlnp*tmp
enddo
enddo ! end k-loop
else
! Make pt T_v
do k=1,km
do i=is,ie
pt(i,j,k) = pt(i,j,k)*pkz(i,j,k)
enddo
enddo
endif
endif
else
if (remap_te) then
! Invert TE using 3D winds to get pt (virtual temperature) and pkz:
do i=is,ie
phis(i,km+1) = hs(i,j)
enddo
do k=km,1,-1
do i=is,ie
phis(i,k) = phis(i,k+1) - grav*delz(i,j,k)
enddo
enddo
do k=1,km+1
do i=is,ie
phis(i,k) = phis(i,k) * pe(i,k,j)
enddo
enddo
do k=1,km
#ifdef MOIST_CAPPA
call moist_cv(is,ie,isd,ied,jsd,jed, km, j, k, nwat, sphum, liq_wat, rainwat, &
ice_wat, snowwat, graupel, q, gz, cvm)
do i=is,ie
tpe = te(i,j,k) - &
( 0.5*w(i,j,k)**2 + 0.25*gridstruct%rsin2(i,j)*( &
u(i,j,k)**2+u(i,j+1,k)**2 + v(i,j,k)**2+v(i+1,j,k)**2 - &
(u(i,j,k)+u(i,j+1,k))*(v(i,j,k)+v(i+1,j,k))*gridstruct%cosa_s(i,j)) &
+ (phis(i,k+1)-phis(i,k))/(pe(i,k+1,j)-pe(i,k,j)) )
pt(i,j,k) = tpe/cvm(i)
cappa(i,j,k) = rdgas / ( rdgas + cvm(i)/(1.+r_vir*q(i,j,k,sphum)) )
pkz(i,j,k) = exp(cappa(i,j,k)*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
enddo
#else
do i=is,ie
tpe = te(i,j,k) - &
( 0.5*(phis(i,k)+phis(i,k+1) + w(i,j,k)**2 + 0.5*gridstruct%rsin2(i,j)*( &
u(i,j,k)**2+u(i,j+1,k)**2 + v(i,j,k)**2+v(i+1,j,k)**2 - &
(u(i,j,k)+u(i,j+1,k))*(v(i,j,k)+v(i+1,j,k))*gridstruct%cosa_s(i,j))) )
pt(i,j,k) = tpe/cv_air
pkz(i,j,k) = exp(akap*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
enddo
#endif
enddo
endif
if (remap_t) then
! Note: pt at this stage is T_v or T_m
do k=1,km
#ifdef MOIST_CAPPA
call moist_cv(is,ie,isd,ied,jsd,jed, km, j, k, nwat, sphum, liq_wat, rainwat, &
ice_wat, snowwat, graupel, q, gz, cvm)
do i=is,ie
cappa(i,j,k) = rdgas / ( rdgas + cvm(i)/(1.+r_vir*q(i,j,k,sphum)) )
pkz(i,j,k) = exp(cappa(i,j,k)*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
enddo
#else
do i=is,ie
pkz(i,j,k) = exp(akap*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
enddo
#endif
enddo
endif
if (remap_pt) then
! Note: pt at this stage is Theta_v
do k=1,km
do i=is,ie
pkz(i,j,k) = exp( k1k*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)) )
! Make pt T_v
pt(i,j,k) = pt(i,j,k)*pkz(i,j,k)
enddo
enddo
endif
endif
! Interpolate omega/pe3 (defined at peln) to remapped cell center (dp2)
if ( do_omega ) then
! Copy omega field to pe3
do i=is,ie
pe3(i,1) = 0.
enddo
do k=2,km+1
do i=is,ie
pe3(i,k) = omga(i,j,k-1)
enddo
enddo
do k=1,km
do i=is,ie
dp2(i,k) = 0.5*(peln(i,k,j) + peln(i,k+1,j))
enddo
enddo
do i=is,ie
k_next = 1
do n=1,km
kp = k_next
do k=kp,km
if( dp2(i,n) <= peln(i,k+1,j) .and. dp2(i,n) >= peln(i,k,j) ) then
omga(i,j,n) = pe3(i,k) + (pe3(i,k+1) - pe3(i,k)) * &
(dp2(i,n)-peln(i,k,j)) / (peln(i,k+1,j)-peln(i,k,j) )
k_next = k
exit
endif
enddo
enddo
enddo
endif ! end do_omega
2000 continue
! Do total energy conservation and fast saturation adjustment as requested
! and fill new PT (Theta_V) for next k_split step or export dry T
!$OMP parallel default(none) shared(is,ie,js,je,km,kmp,ptop,u,v,pe,isd,ied,jsd,jed,kord_mt, &
!$OMP remap_t,remap_pt,remap_te, &
!$OMP te_2d,te,delp,hydrostatic,hs,rg,pt,peln, adiabatic, &
!$OMP cp,delz,nwat,rainwat,liq_wat,ice_wat,snowwat, &
!$OMP graupel,q_con,r_vir,sphum,w,pk,pkz,last_step,consv, &
!$OMP do_adiabatic_init,zsum1,zsum0,te0_2d,domain, &
!$OMP ng,gridstruct,E_Flux,pdt,dtmp,reproduce_sum,q, &
!$OMP mdt,cld_amt,cappa,dtdt,out_dt,rrg,akap,do_sat_adj, &
!$OMP fast_mp_consv,kord_tm) &
!$OMP private(pe0,pe1,pe2,pe3,cvm,gz,phis,tesum,zsum,dpln,dlnp,tmp)
dtmp = 0.
if( last_step .and. (.not.do_adiabatic_init) ) then
if ( consv > consv_min ) then
!$OMP do
do j=js,je
if ( hydrostatic ) then
do i=is,ie
gz(i) = hs(i,j)
do k=1,km
gz(i) = gz(i) + rg*pt(i,j,k)*(peln(i,k+1,j)-peln(i,k,j))
enddo
enddo
do i=is,ie
te_2d(i,j) = pe(i,km+1,j)*hs(i,j) - pe(i,1,j)*gz(i)
enddo
do k=1,km
do i=is,ie
te_2d(i,j) = te_2d(i,j) + delp(i,j,k)*(cp*pt(i,j,k) + &
0.25*gridstruct%rsin2(i,j)*(u(i,j,k)**2+u(i,j+1,k)**2 + &
v(i,j,k)**2+v(i+1,j,k)**2 - &
(u(i,j,k)+u(i,j+1,k))*(v(i,j,k)+v(i+1,j,k))*gridstruct%cosa_s(i,j)))
enddo
enddo
else
! TE using 3D winds (pt is virtual temperature):
do i=is,ie
te_2d(i,j) = 0.
phis(i,km+1) = hs(i,j)
enddo
do k=km,1,-1
do i=is,ie
phis(i,k) = phis(i,k+1) - grav*delz(i,j,k)
enddo
enddo
do k=1,km
#ifdef MOIST_CAPPA
call moist_cv(is,ie,isd,ied,jsd,jed, km, j, k, nwat, sphum, liq_wat, rainwat, &
ice_wat, snowwat, graupel, q, gz, cvm)
do i=is,ie
te_2d(i,j) = te_2d(i,j) + delp(i,j,k)*(cvm(i)*pt(i,j,k) + &
0.5*(phis(i,k)+phis(i,k+1) + w(i,j,k)**2 + 0.5*gridstruct%rsin2(i,j)*( &
u(i,j,k)**2+u(i,j+1,k)**2 + v(i,j,k)**2+v(i+1,j,k)**2 - &
(u(i,j,k)+u(i,j+1,k))*(v(i,j,k)+v(i+1,j,k))*gridstruct%cosa_s(i,j))))
enddo
#else
do i=is,ie
te_2d(i,j) = te_2d(i,j) + delp(i,j,k)*(cv_air*pt(i,j,k) + &
0.5*(phis(i,k)+phis(i,k+1) + w(i,j,k)**2 + 0.5*gridstruct%rsin2(i,j)*( &
u(i,j,k)**2+u(i,j+1,k)**2 + v(i,j,k)**2+v(i+1,j,k)**2 - &
(u(i,j,k)+u(i,j+1,k))*(v(i,j,k)+v(i+1,j,k))*gridstruct%cosa_s(i,j))))
enddo
#endif
enddo ! k-loop
endif ! end non-hydro
do i=is,ie
te_2d(i,j) = te0_2d(i,j) - te_2d(i,j)
zsum1(i,j) = pkz(i,j,1)*delp(i,j,1)
enddo
do k=2,km
do i=is,ie
zsum1(i,j) = zsum1(i,j) + pkz(i,j,k)*delp(i,j,k)
enddo
enddo
if ( hydrostatic ) then
do i=is,ie
zsum0(i,j) = ptop*(pk(i,j,1)-pk(i,j,km+1)) + zsum1(i,j)
enddo
endif
enddo ! j-loop
!$OMP single
tesum = mpp_global_sum(domain, te_2d*gridstruct%area_64(is:ie,js:je), &
flags=BITWISE_EFP_SUM)
E_Flux = DBLE(consv)*tesum / DBLE(grav*pdt*4.*pi*radius**2) ! unit: W/m**2
! Note pdt is "phys" time step
if ( hydrostatic ) then
zsum = mpp_global_sum(domain, zsum0*gridstruct%area_64(is:ie,js:je), &
flags=BITWISE_EFP_SUM)
dtmp = tesum / DBLE(cp*zsum)