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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_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>ccpp_static_api</td>
! <td>ccpp_physics_run</td>
! </tr>
! <tr>
! <td>CCPP_data</td>
! <td>ccpp_suite, cdata_tile, CCPP_interstitial</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, 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, cubed_to_latlon, update_dwinds_phys
use fv_fill_mod, only: fillz
use mpp_domains_mod, only: mpp_update_domains, domain2d
use mpp_mod, only: NOTE, FATAL, mpp_error, get_unit, mpp_root_pe, mpp_pe
use fv_arrays_mod, only: fv_grid_type, fv_grid_bounds_type, R_GRID, inline_mp_type
use fv_timing_mod, only: timing_on, timing_off
use fv_mp_mod, only: is_master, mp_reduce_min, mp_reduce_max
! CCPP fast physics
use ccpp_static_api, only: ccpp_physics_run
use CCPP_data, only: ccpp_suite
use CCPP_data, only: cdata => cdata_tile
use CCPP_data, only: CCPP_interstitial
#ifdef MULTI_GASES
use multi_gases_mod, only: virq, virqd, vicpqd, vicvqd, num_gas
#endif
implicit none
real, parameter:: consv_min= 0.001 !< below which no correction applies
real, parameter:: t_min= 184. !< below which applies stricter constraint
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
real, parameter :: w_max = 60.
real, parameter :: w_min = -30.
logical, parameter :: w_limiter = .false. ! doesn't work so well??
real(kind=4) :: E_Flux = 0.
private
public compute_total_energy, Lagrangian_to_Eulerian, moist_cv, moist_cp, &
rst_remap, mappm, E_Flux, remap_2d, map_scalar
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, npx, npy, 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, gridstruct, domain, do_sat_adj, &
hydrostatic, phys_hydrostatic, hybrid_z, do_omega, adiabatic, do_adiabatic_init, &
do_inline_mp, inline_mp, c2l_ord, bd, fv_debug, &
moist_phys)
logical, intent(in):: last_step
logical, intent(in):: fv_debug
real, intent(in):: mdt !< remap time step
real, intent(in):: pdt !< phys time step
integer, intent(in):: npx, npy
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
integer, intent(in):: c2l_ord
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, 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):: do_inline_mp
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(domain2d), intent(INOUT) :: domain
type(fv_grid_bounds_type), intent(IN) :: bd
! 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:):: q_con, cappa
real, intent(inout), dimension(is:,js:,1:)::delz
logical, intent(in):: hydrostatic, phys_hydrostatic
logical, intent(in):: hybrid_z
logical, intent(in):: out_dt
logical, intent(in):: moist_phys
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)
type(inline_mp_type), intent(inout):: inline_mp
! !DESCRIPTION:
!
! !REVISION HISTORY:
! SJL 03.11.04: Initial version for partial remapping
!
!-----------------------------------------------------------------------
real, allocatable, dimension(:,:,:) :: dp0, u0, v0
real, allocatable, dimension(:,:,:) :: u_dt, v_dt
real, dimension(is:ie,js:je):: te_2d, zsum0, zsum1
real, dimension(is:ie,km) :: q2, dp2, t0, w2
real, dimension(is:ie,km+1):: pe1, pe2, pk1, pk2, pn2, phis
real, dimension(isd:ied,jsd:jed,km):: pe4
real, dimension(is:ie+1,km+1):: pe0, pe3
real, dimension(is:ie):: gsize, gz, cvm, qv
real rcp, rg, rrg, bkh, dtmp, k1k
integer:: i,j,k
integer:: kdelz
integer:: nt, liq_wat, ice_wat, rainwat, snowwat, cld_amt, graupel, hailwat, ccn_cm3, iq, n, kmp, kp, k_next
integer :: ierr
ccpp_associate: associate( fast_mp_consv => CCPP_interstitial%fast_mp_consv, &
kmp => CCPP_interstitial%kmp )
k1k = rdgas/cv_air ! akap / (1.-akap) = rg/Cv=0.4
rg = rdgas
rcp = 1./ cp
rrg = -rdgas/grav
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')
hailwat = get_tracer_index (MODEL_ATMOS, 'hailwat')
cld_amt = get_tracer_index (MODEL_ATMOS, 'cld_amt')
ccn_cm3 = get_tracer_index (MODEL_ATMOS, 'ccn_cm3')
if ( do_adiabatic_init .or. do_sat_adj ) then
fast_mp_consv = (.not.do_adiabatic_init) .and. consv>consv_min
endif
!$OMP parallel do default(none) shared(is,ie,js,je,km,pe,ptop,kord_tm,hydrostatic, &
!$OMP pt,pk,rg,peln,q,nwat,liq_wat,rainwat,ice_wat,snowwat, &
!$OMP graupel,hailwat,q_con,sphum,cappa,r_vir,rcp,k1k,delp, &
!$OMP delz,akap,pkz,te,u,v,ps, gridstruct, last_step, &
!$OMP ak,bk,nq,isd,ied,jsd,jed,kord_tr,fill, adiabatic, &
#ifdef MULTI_GASES
!$OMP num_gas, &
#endif
!$OMP hs,w,ws,kord_wz,do_omega,omga,rrg,kord_mt,pe4) &
!$OMP private(qv,gz,cvm,kp,k_next,bkh,dp2, &
!$OMP pe0,pe1,pe2,pe3,pk1,pk2,pn2,phis,q2,w2)
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 ( kord_tm < 0 ) then
! 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
#ifdef MULTI_GASES
pkz(i,j,k) = (pk(i,j,k+1)-pk(i,j,k))/(akap*(peln(i,k+1,j)-peln(i,k,j)))
pkz(i,j,k) = exp(virqd(q(i,j,k,1:num_gas))/vicpqd(q(i,j,k,1:num_gas))*log(pkz(i,j,k)))
pt(i,j,k) = pt(i,j,k)*pkz(i,j,k)
#else
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)))
#endif
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, hailwat, q, gz, cvm)
do i=is,ie
q_con(i,j,k) = gz(i)
#ifdef MULTI_GASES
cappa(i,j,k) = rdgas / ( rdgas + cvm(i)/virq(q(i,j,k,1:num_gas)) )
#else
cappa(i,j,k) = rdgas / ( rdgas + cvm(i)/(1.+r_vir*q(i,j,k,sphum)) )
#endif
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
#ifdef MULTI_GASES
pt(i,j,k) = pt(i,j,k)*exp(k1k*(virqd(q(i,j,k,1:num_gas))/vicvqd(q(i,j,k,1:num_gas))*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
#else
pt(i,j,k) = pt(i,j,k)*exp(k1k*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
#endif
! Using dry pressure for the definition of the virtual potential temperature
! pt(i,j,k) = pt(i,j,k)*exp(k1k*log(rrg*(1.-q(i,j,k,sphum))*delp(i,j,k)/delz(i,j,k)* &
! pt(i,j,k)/(1.+r_vir*q(i,j,k,sphum))))
enddo
#endif
enddo
endif ! hydro test
elseif ( hydrostatic ) then
call pkez(km, is, ie, js, je, j, pe, pk, akap, peln, pkz, ptop)
! Compute cp_air*Tm + KE
do k=1,km
do i=is,ie
#ifdef MULTI_GASES
pkz(i,j,k) = exp(virqd(q(i,j,k,1:num_gas))/vicpqd(q(i,j,k,1:num_gas))*log(pkz(i,j,k)))
#endif
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)
enddo
enddo
endif
if ( .not. hydrostatic ) then
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
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
!------------
! update delp
!------------
do k=1,km
do i=is,ie
delp(i,j,k) = dp2(i,k)
enddo
enddo
!------------------
! Compute p**Kappa
!------------------
do k=1,km+1
do i=is,ie
pk1(i,k) = pk(i,j,k)
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 ( kord_tm<0 ) then
!----------------------------------
! Map t using logp
!----------------------------------
call map_scalar(km, peln(is,1,j), pt, gz, &
km, pn2, pt, &
is, ie, j, isd, ied, jsd, jed, 1, abs(kord_tm), t_min)
else
! Map pt using pe
call map1_ppm (km, pe1, pt, gz, &
km, pe2, pt, &
is, ie, j, isd, ied, jsd, jed, 1, abs(kord_tm))
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
call map1_ppm (km, pe1, delz, gz, & ! works
km, pe2, delz, &
is, ie, j, is, ie, js, je, 1, abs(kord_tm))
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
!----------
! Update pk
!----------
do k=1,km+1
do i=is,ie
pk(i,j,k) = pk2(i,k)
enddo
enddo
!----------------
if ( do_omega ) then
! Start do_omega
! 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
endif
do k=1,km+1
do i=is,ie
pe0(i,k) = peln(i,k,j)
peln(i,k,j) = pn2(i,k)
enddo
enddo
!------------
! Compute pkz
!< pk is pe**kappa(=rgas/cp_air), but pkz=plyr**kappa(=r/cp)
!------------
if ( hydrostatic ) then
do k=1,km
do i=is,ie
pkz(i,j,k) = (pk2(i,k+1)-pk2(i,k))/(akap*(peln(i,k+1,j)-peln(i,k,j)))
#ifdef MULTI_GASES
pkz(i,j,k) = exp(virqd(q(i,j,k,1:num_gas))/vicpqd(q(i,j,k,1:num_gas))*log(pkz(i,j,k)))
#endif
enddo
enddo
else
! 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, hailwat, q, gz, cvm)
do i=is,ie
q_con(i,j,k) = gz(i)
#ifdef MULTI_GASES
cappa(i,j,k) = rdgas / ( rdgas + cvm(i)/virq(q(i,j,k,1:num_gas)) )
#else
cappa(i,j,k) = rdgas / ( rdgas + cvm(i)/(1.+r_vir*q(i,j,k,sphum)) )
#endif
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
if ( kord_tm < 0 ) then
do i=is,ie
#ifdef MULTI_GASES
pkz(i,j,k) = exp(akap*virqd(q(i,j,k,1:num_gas))/vicpqd(q(i,j,k,1:num_gas))*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
#else
pkz(i,j,k) = exp(akap*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
#endif
! Using dry pressure for the definition of the virtual potential temperature
! pkz(i,j,k) = exp(akap*log(rrg*(1.-q(i,j,k,sphum))*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)/(1.+r_vir*q(i,j,k,sphum))))
enddo
else
do i=is,ie
#ifdef MULTI_GASES
pkz(i,j,k) = exp(k1k*virqd(q(i,j,k,1:num_gas))/vicvqd(q(i,j,k,1:num_gas))*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
#else
pkz(i,j,k) = exp(k1k*log(rrg*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)))
#endif
! Using dry pressure for the definition of the virtual potential temperature
! pkz(i,j,k) = exp(k1k*log(rrg*(1.-q(i,j,k,sphum))*delp(i,j,k)/delz(i,j,k)*pt(i,j,k)/(1.+r_vir*q(i,j,k,sphum))))
enddo
if ( last_step .and. (.not.adiabatic) ) then
do i=is,ie
pt(i,j,k) = pt(i,j,k)*pkz(i,j,k)
enddo
endif
endif
#endif
enddo
endif
! Interpolate omega/pe3 (defined at pe0) to remapped cell center (dp2)
if ( do_omega ) then
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) <= pe0(i,k+1) .and. dp2(i,n) >= pe0(i,k) ) then
omga(i,j,n) = pe3(i,k) + (pe3(i,k+1) - pe3(i,k)) * &
(dp2(i,n)-pe0(i,k)) / (pe0(i,k+1)-pe0(i,k) )
k_next = k
exit
endif
enddo
enddo
enddo
endif ! end do_omega
endif !(j < je+1)
do i=is,ie+1
pe0(i,1) = pe(i,1,j)
enddo
!------
! map u
!------
do k=2,km+1
do i=is,ie
pe0(i,k) = 0.5*(pe(i,k,j-1)+pe1(i,k))
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)+pe1(i,km+1))
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 (j < je+1) then
!------
! map v
!------
do i=is,ie+1
pe3(i,1) = ak(1)
enddo
do k=2,km+1
bkh = 0.5*bk(k)
do i=is,ie+1
pe0(i,k) = 0.5*(pe(i-1,k, j)+pe(i,k, j))
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)
endif ! (j < je+1)
do k=1,km
do i=is,ie
pe4(i,j,k) = pe2(i,k+1)
enddo
enddo
1000 continue
#ifdef __GFORTRAN__
!$OMP parallel default(none) shared(is,ie,js,je,km,ptop,u,v,pe,ua,va,isd,ied,jsd,jed,kord_mt, &
!$OMP te_2d,te,delp,hydrostatic,hs,rg,pt,peln, adiabatic, &
!$OMP cp,delz,nwat,rainwat,liq_wat,ice_wat,snowwat, &
!$OMP graupel,hailwat,q_con,r_vir,sphum,w,pk,pkz,last_step,consv, &
!$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, &
!$OMP kord_tm,pe4, npx,npy,ccn_cm3,u_dt,v_dt, c2l_ord,bd,dp0,ps, &
!$OMP cdata,CCPP_interstitial) &
!$OMP shared(ccpp_suite) &
#ifdef MULTI_GASES
!$OMP shared(num_gas) &
#endif
!$OMP private(q2,pe0,pe1,pe2,pe3,qv,cvm,gz,gsize,phis,kdelz,dp2,t0, ierr)
#else
!$OMP parallel default(none) shared(is,ie,js,je,km,kmp,ptop,u,v,pe,ua,va,isd,ied,jsd,jed,kord_mt, &
!$OMP te_2d,te,delp,hydrostatic,hs,rg,pt,peln, adiabatic, &
!$OMP cp,delz,nwat,rainwat,liq_wat,ice_wat,snowwat, &
!$OMP graupel,hailwat,q_con,r_vir,sphum,w,pk,pkz,last_step,consv, &
!$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, &
!$OMP fast_mp_consv,kord_tm, pe4,npx,npy, ccn_cm3, &
!$OMP u_dt,v_dt,c2l_ord,bd,dp0,ps,cdata,CCPP_interstitial) &
!$OMP shared(ccpp_suite) &
#ifdef MULTI_GASES
!$OMP shared(num_gas) &
#endif
!$OMP private(q2,pe0,pe1,pe2,pe3,qv,cvm,gz,gsize,phis,kdelz,dp2,t0, ierr)
#endif
!$OMP do
do k=2,km
do j=js,je
do i=is,ie
pe(i,k,j) = pe4(i,j,k-1)
enddo
enddo
enddo
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
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, hailwat, q, gz, cvm)
do i=is,ie
! KE using 3D winds:
q_con(i,j,k) = gz(i)
#ifdef MULTI_GASES
te_2d(i,j) = te_2d(i,j) + delp(i,j,k)*(cvm(i)*pt(i,j,k)/virq(q(i,j,k,1:num_gas)) + &
#else
te_2d(i,j) = te_2d(i,j) + delp(i,j,k)*(cvm(i)*pt(i,j,k)/((1.+r_vir*q(i,j,k,sphum))*(1.-gz(i))) + &
#endif
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
#ifdef MULTI_GASES
te_2d(i,j) = te_2d(i,j) + delp(i,j,k)*(cv_air*pt(i,j,k)/virq(q(i,j,k,1:num_gas)) + &
#else
te_2d(i,j) = te_2d(i,j) + delp(i,j,k)*(cv_air*pt(i,j,k)/(1.+r_vir*q(i,j,k,sphum)) + &
#endif
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
dtmp = consv*g_sum(domain, te_2d, is, ie, js, je, ng, gridstruct%area_64, 0, reproduce=.true.)
E_Flux = dtmp / (grav*pdt*4.*pi*radius**2) ! unit: W/m**2
! Note pdt is "phys" time step
if ( hydrostatic ) then
dtmp = dtmp / (cp* g_sum(domain, zsum0, is, ie, js, je, ng, gridstruct%area_64, 0, reproduce=.true.))
else
dtmp = dtmp / (cv_air*g_sum(domain, zsum1, is, ie, js, je, ng, gridstruct%area_64, 0, reproduce=.true.))
endif
!$OMP end single
elseif ( consv < -consv_min ) then
!$OMP do
do j=js,je
do i=is,ie
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
E_Flux = consv
!$OMP single
if ( hydrostatic ) then
dtmp = E_flux*(grav*pdt*4.*pi*radius**2) / &
(cp*g_sum(domain, zsum0, is, ie, js, je, ng, gridstruct%area_64, 0, reproduce=.true.))
else
dtmp = E_flux*(grav*pdt*4.*pi*radius**2) / &
(cv_air*g_sum(domain, zsum1, is, ie, js, je, ng, gridstruct%area_64, 0, reproduce=.true.))
endif
!$OMP end single
endif ! end consv check
endif ! end last_step check
! Note: pt at this stage is T_v
! if ( (.not.do_adiabatic_init) .and. do_sat_adj ) then
if ( do_sat_adj ) then
call timing_on('sat_adj2')
! Call to CCPP fast_physics group
if (cdata%initialized()) then
call ccpp_physics_run(cdata, suite_name=trim(ccpp_suite), group_name='fast_physics', ierr=ierr)
if (ierr/=0) then
call mpp_error(NOTE, trim(cdata%errmsg))
call mpp_error(FATAL, "Call to ccpp_physics_run for group 'fast_physics' failed")
endif
else
call mpp_error (FATAL, 'Lagrangian_to_Eulerian: can not call CCPP fast physics because CCPP not initialized')
endif
call timing_off('sat_adj2')
endif ! do_sat_adj
if ( last_step ) then
! Output temperature if last_step
!!! if ( is_master() ) write(*,*) 'dtmp=', dtmp, nwat
!$OMP do
do k=1,km
do j=js,je
#ifdef USE_COND
if ( nwat==2 ) then
do i=is,ie
gz(i) = max(0., q(i,j,k,liq_wat))
qv(i) = max(0., q(i,j,k,sphum))
#ifdef MULTI_GASES
pt(i,j,k) = (pt(i,j,k)+dtmp*pkz(i,j,k)) / virq(q(i,j,k,1:num_gas))
#else
pt(i,j,k) = (pt(i,j,k)+dtmp*pkz(i,j,k)) / ((1.+r_vir*qv(i))*(1.-gz(i)))
#endif
enddo
elseif ( nwat==6 ) then
do i=is,ie
gz(i) = q(i,j,k,liq_wat)+q(i,j,k,rainwat)+q(i,j,k,ice_wat)+q(i,j,k,snowwat)+q(i,j,k,graupel)
#ifdef MULTI_GASES
pt(i,j,k) = (pt(i,j,k)+dtmp*pkz(i,j,k))/ virq(q(i,j,k,1:num_gas))
#else
pt(i,j,k) = (pt(i,j,k)+dtmp*pkz(i,j,k))/((1.+r_vir*q(i,j,k,sphum))*(1.-gz(i)))
#endif
enddo
elseif ( nwat==7 ) then
do i=is,ie
gz(i) = q(i,j,k,liq_wat)+q(i,j,k,rainwat)+q(i,j,k,ice_wat)+q(i,j,k,snowwat)+q(i,j,k,graupel)+q(i,j,k,hailwat)
#ifdef MULTI_GASES
pt(i,j,k) = (pt(i,j,k)+dtmp*pkz(i,j,k))/ virq(q(i,j,k,1:num_gas))
#else
pt(i,j,k) = (pt(i,j,k)+dtmp*pkz(i,j,k))/((1.+r_vir*q(i,j,k,sphum))*(1.-gz(i)))
#endif
enddo
else
call moist_cv(is,ie,isd,ied,jsd,jed, km, j, k, nwat, sphum, liq_wat, rainwat, &
ice_wat, snowwat, graupel, hailwat, q, gz, cvm)
do i=is,ie
#ifdef MULTI_GASES
pt(i,j,k) = (pt(i,j,k)+dtmp*pkz(i,j,k)) / virq(q(i,j,k,1:num_gas))
#else
pt(i,j,k) = (pt(i,j,k)+dtmp*pkz(i,j,k)) / ((1.+r_vir*q(i,j,k,sphum))*(1.-gz(i)))
#endif
enddo
endif
#else
if ( .not. adiabatic ) then
do i=is,ie
#ifdef MULTI_GASES
pt(i,j,k) = (pt(i,j,k)+dtmp*pkz(i,j,k)) / virq(q(i,j,k,1:num_gas))
#else
pt(i,j,k) = (pt(i,j,k)+dtmp*pkz(i,j,k)) / (1.+r_vir*q(i,j,k,sphum))
#endif
enddo
endif
#endif
enddo ! j-loop
enddo ! k-loop
else ! not last_step
if ( kord_tm < 0 ) then
!$OMP do
do k=1,km
do j=js,je
do i=is,ie
pt(i,j,k) = pt(i,j,k)/pkz(i,j,k)
enddo
enddo
enddo
endif
endif
!$OMP end parallel
end associate ccpp_associate
end subroutine Lagrangian_to_Eulerian
!>@brief The subroutine 'compute_total_energy' performs the FV3-consistent computation of the global total energy.
!>@details It includes the potential, internal (latent and sensible heat), kinetic terms.
subroutine compute_total_energy(is, ie, js, je, isd, ied, jsd, jed, km, &
u, v, w, delz, pt, delp, q, qc, pe, peln, hs, &
rsin2_l, cosa_s_l, &
r_vir, cp, rg, hlv, te_2d, ua, va, teq, &
moist_phys, nwat, sphum, liq_wat, rainwat, ice_wat, snowwat, graupel, hailwat, hydrostatic, id_te)
!------------------------------------------------------
! Compute vertically integrated total energy per column
!------------------------------------------------------
! !INPUT PARAMETERS:
integer, intent(in):: km, is, ie, js, je, isd, ied, jsd, jed, id_te
integer, intent(in):: sphum, liq_wat, ice_wat, rainwat, snowwat, graupel, hailwat, nwat
real, intent(inout), dimension(isd:ied,jsd:jed,km):: ua, va
real, intent(in), dimension(isd:ied,jsd:jed,km):: pt, delp
real, intent(in), dimension(isd:ied,jsd:jed,km,*):: q
real, intent(in), dimension(isd:ied,jsd:jed,km):: qc
real, intent(inout):: u(isd:ied, jsd:jed+1,km)
real, intent(inout):: v(isd:ied+1,jsd:jed, km)
real, intent(in):: w(isd:,jsd:,1:) !< vertical velocity (m/s)
real, intent(in):: delz(is:,js:,1:)
real, intent(in):: hs(isd:ied,jsd:jed) !< surface geopotential
real, intent(in):: pe(is-1:ie+1,km+1,js-1:je+1) !< pressure at layer edges
real, intent(in):: peln(is:ie,km+1,js:je) !< log(pe)
real, intent(in):: cp, rg, r_vir, hlv
real, intent(in) :: rsin2_l(isd:ied, jsd:jed)
real, intent(in) :: cosa_s_l(isd:ied, jsd:jed)
logical, intent(in):: moist_phys, hydrostatic
!! Output:
real, intent(out):: te_2d(is:ie,js:je) !< vertically integrated TE
real, intent(out):: teq(is:ie,js:je) !< Moist TE
!! Local
real, dimension(is:ie,km):: tv
real phiz(is:ie,km+1)
real cvm(is:ie), qd(is:ie)
integer i, j, k
!----------------------
! Output lat-lon winds:
!----------------------
! call cubed_to_latlon(u, v, ua, va, dx, dy, rdxa, rdya, km, flagstruct%c2l_ord)
!$OMP parallel do default(none) shared(is,ie,js,je,isd,ied,jsd,jed,km,hydrostatic,hs,pt,qc,rg,peln,te_2d, &
!$OMP pe,delp,cp,rsin2_l,u,v,cosa_s_l,delz,moist_phys,w, &
#ifdef MULTI_GASES
!$OMP num_gas, &
#endif
!$OMP q,nwat,liq_wat,rainwat,ice_wat,snowwat,graupel,hailwat,sphum) &
!$OMP private(phiz, tv, cvm, qd)
do j=js,je
if ( hydrostatic ) then
do i=is,ie
phiz(i,km+1) = hs(i,j)
enddo
do k=km,1,-1
do i=is,ie
tv(i,k) = pt(i,j,k)*(1.+qc(i,j,k))
phiz(i,k) = phiz(i,k+1) + rg*tv(i,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)*phiz(i,km+1) - pe(i,1,j)*phiz(i,1)
enddo
do k=1,km
do i=is,ie