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sfc_nst.F90.0
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!>\file sfc_nst.f
!! This file contains the GFS NSST model.
!> This module contains the CCPP-compliant GFS near-surface sea temperature scheme.
module sfc_nst
contains
!>\defgroup gfs_nst_main_mod GFS Near-Surface Sea Temperature Module
!! This module contains the CCPP-compliant GFS near-surface sea temperature scheme.
!> @{
!! This subroutine calls the Thermal Skin-layer and Diurnal Thermocline models to update the NSST profile.
!! \section arg_table_sfc_nst_run Argument Table
!! \htmlinclude sfc_nst_run.html
!!
!> \section NSST_general_algorithm GFS Near-Surface Sea Temperature Scheme General Algorithm
subroutine sfc_nst_run &
( im, hvap, cp, hfus, jcal, eps, epsm1, rvrdm1, rd, rhw0, & ! --- inputs:
pi, tgice, sbc, ps, u1, v1, t1, q1, tref, cm, ch, &
lseaspray, fm, fm10, &
prsl1, prslki, prsik1, prslk1, xlon, sinlat, stress, &
sfcemis, dlwflx, sfcnsw, rain, timestep, kdt, solhr,xcosz, &
wind, flag_iter, flag_guess, nstf_name1, nstf_name4, &
nstf_name5, thsfc_loc, &
tskin, tsurf, xt, xs, xu, xv, xz, zm, xtts, xzts, dt_cool, & ! --- input/output:
z_c, c_0, c_d, w_0, w_d, d_conv, ifd, qrain, &
qsurf, gflux, cmm, chh, evap, hflx, ep & ! --- outputs:
)
!
! ===================================================================== !
! description: !
! !
! !
! usage: !
! !
! call sfc_nst !
! inputs: !
! ( im, ps, u1, v1, t1, q1, tref, cm, ch, !
! lseaspray, fm, fm10, !
! prsl1, prslki, xlon, sinlat, stress, !
! sfcemis, dlwflx, sfcnsw, rain, timestep, kdt,solhr,xcosz, !
! wind, flag_iter, flag_guess, nstf_name1, nstf_name4, !
! nstf_name5, thsfc_loc, !
! input/outputs: !
! tskin, tsurf, xt, xs, xu, xv, xz, zm, xtts, xzts, dt_cool, !
! z_c, c_0, c_d, w_0, w_d, d_conv, ifd, qrain, !
! -- outputs:
! qsurf, gflux, cmm, chh, evap, hflx, ep !
! )
! !
! !
! subprogram/functions called: w3movdat, iw3jdn, fpvs, density, !
! rhocoef, cool_skin, warm_layer, jacobi_temp. !
! !
! program history log: !
! 2007 -- xu li createad original code !
! 2008 -- s. moorthi adapted to the parallel version !
! may 2009 -- y.-t. hou modified to include input lw surface !
! emissivity from radiation. also replaced the !
! often comfusing combined sw and lw suface !
! flux with separate sfc net sw flux (defined !
! as dn-up) and lw flux. added a program doc block. !
! sep 2009 -- s. moorthi removed rcl and additional reformatting !
! and optimization + made pa as input pressure unit.!
! 2009 -- xu li recreatead the code !
! feb 2010 -- s. moorthi added some changes made to the previous !
! version !
! Jul 2016 -- X. Li, modify the diurnal warming event reset !
! !
! !
! ==================== definition of variables ==================== !
! !
! inputs: size !
! im - integer, horiz dimension 1 !
! ps - real, surface pressure (pa) im !
! u1, v1 - real, u/v component of surface layer wind (m/s) im !
! t1 - real, surface layer mean temperature ( k ) im !
! q1 - real, surface layer mean specific humidity im !
! tref - real, reference/foundation temperature ( k ) im !
! cm - real, surface exchange coeff for momentum (m/s) im !
! ch - real, surface exchange coeff heat & moisture(m/s) im !
! lseaspray- logical, .t. for parameterization for sea spray 1 !
! fm - real, a stability profile function for momentum im !
! fm10 - real, a stability profile function for momentum im !
! at 10m !
! prsl1 - real, surface layer mean pressure (pa) im !
! prslki - real, im !
! prsik1 - real, im !
! prslk1 - real, im !
! xlon - real, longitude (radians) im !
! sinlat - real, sin of latitude im !
! stress - real, wind stress (n/m**2) im !
! sfcemis - real, sfc lw emissivity (fraction) im !
! dlwflx - real, total sky sfc downward lw flux (w/m**2) im !
! sfcnsw - real, total sky sfc netsw flx into ocean (w/m**2) im !
! rain - real, rainfall rate (kg/m**2/s) im !
! timestep - real, timestep interval (second) 1 !
! kdt - integer, time step counter 1 !
! solhr - real, fcst hour at the end of prev time step 1 !
! xcosz - real, consine of solar zenith angle 1 !
! wind - real, wind speed (m/s) im !
! flag_iter- logical, execution or not im !
! when iter = 1, flag_iter = .true. for all grids im !
! when iter = 2, flag_iter = .true. when wind < 2 im !
! for both land and ocean (when nstf_name1 > 0) im !
! flag_guess-logical, .true.= guess step to get CD et al im !
! when iter = 1, flag_guess = .true. when wind < 2 im !
! when iter = 2, flag_guess = .false. for all grids im !
! nstf_name - integers , NSST related flag parameters 1 !
! nstf_name1 : 0 = NSSTM off 1 !
! 1 = NSSTM on but uncoupled 1 !
! 2 = NSSTM on and coupled 1 !
! nstf_name4 : zsea1 in mm 1 !
! nstf_name5 : zsea2 in mm 1 !
! thsfc_loc- logical, flag for reference pressure in theta 1 !
! !
! input/outputs:
! li added for oceanic components
! tskin - real, ocean surface skin temperature ( k ) im !
! tsurf - real, the same as tskin ( k ) but for guess run im !
! xt - real, heat content in dtl im !
! xs - real, salinity content in dtl im !
! xu - real, u-current content in dtl im !
! xv - real, v-current content in dtl im !
! xz - real, dtl thickness im !
! zm - real, mxl thickness im !
! xtts - real, d(xt)/d(ts) im !
! xzts - real, d(xz)/d(ts) im !
! dt_cool - real, sub-layer cooling amount im !
! d_conv - real, thickness of free convection layer (fcl) im !
! z_c - sub-layer cooling thickness im !
! c_0 - coefficient1 to calculate d(tz)/d(ts) im !
! c_d - coefficient2 to calculate d(tz)/d(ts) im !
! w_0 - coefficient3 to calculate d(tz)/d(ts) im !
! w_d - coefficient4 to calculate d(tz)/d(ts) im !
! ifd - real, index to start dtlm run or not im !
! qrain - real, sensible heat flux due to rainfall (watts) im !
! outputs: !
! qsurf - real, surface air saturation specific humidity im !
! gflux - real, soil heat flux (w/m**2) im !
! cmm - real, im !
! chh - real, im !
! evap - real, evaperation from latent heat flux im !
! hflx - real, sensible heat flux im !
! ep - real, potential evaporation im !
! !
! ===================================================================== !
use machine , only : kind_phys
use funcphys, only : fpvs
use date_def, only : idate
use module_nst_water_prop, only: get_dtzm_point
use module_nst_parameters, only : t0k,cp_w,omg_m,omg_sh, &
sigma_r,solar_time_6am,ri_c,z_w_max,delz,wd_max, &
rad2deg,const_rot,tau_min,tw_max,sst_max
use module_nst_water_prop, only: density,rhocoef,compjd,grv, sw_ps_9b
use nst_module, only : cool_skin,dtm_1p,cal_w,cal_ttop, &
convdepth,dtm_1p_fca,dtm_1p_tla, &
dtm_1p_mwa,dtm_1p_mda,dtm_1p_mta, &
dtl_reset
!
implicit none
integer, parameter :: kp = kind_phys
!
! --- constant parameters:
real (kind=kind_phys), parameter :: f24 = 24.0_kp ! hours/day
real (kind=kind_phys), parameter :: f1440 = 1440.0_kp ! minutes/day
real (kind=kind_phys), parameter :: czmin = 0.0001_kp ! cos(89.994)
real (kind=kind_phys), parameter :: zero = 0.0_kp, one = 1.0_kp
! --- inputs:
integer, intent(in) :: im, kdt, nstf_name1, nstf_name4, nstf_name5
real (kind=kind_phys), intent(in) :: hvap, cp, hfus, jcal, eps, &
epsm1, rvrdm1, rd, rhw0, sbc, pi, tgice
real (kind=kind_phys), dimension(:), intent(in) :: ps, u1, v1, &
t1, q1, tref, cm, ch, fm, fm10, &
prsl1, prslki, prsik1, prslk1, xlon, xcosz, &
sinlat, stress, sfcemis, dlwflx, sfcnsw, rain, wind
real (kind=kind_phys), intent(in) :: timestep
real (kind=kind_phys), intent(in) :: solhr
! For sea spray effect
logical, intent(in) :: lseaspray
!
logical, dimension(:), intent(in) :: flag_iter, flag_guess
logical, intent(in) :: thsfc_loc
! --- input/outputs:
! control variables of dtl system (5+2) and sl (2) and coefficients for d(tz)/d(ts) calculation
real (kind=kind_phys), dimension(:), intent(inout) :: tskin, &
tsurf, xt, xs, xu, xv, xz, zm, xtts, xzts, dt_cool, &
z_c, c_0, c_d, w_0, w_d, d_conv, ifd, qrain
! --- outputs:
real (kind=kind_phys), dimension(:), intent(inout) :: &
qsurf, gflux, cmm, chh, evap, hflx, ep
!
! locals
!
integer :: k,i
!
real (kind=kind_phys), dimension(im) :: q0, qss, rch, rho_a, theta1, tv1, wndmag
real(kind=kind_phys) :: elocp,tem,cpinv,hvapi
!
! nstm related prognostic fields
!
logical :: flag(im)
real (kind=kind_phys), dimension(im) :: &
xt_old, xs_old, xu_old, xv_old, xz_old,zm_old,xtts_old, &
xzts_old, ifd_old, tref_old, tskin_old, dt_cool_old,z_c_old
real(kind=kind_phys) :: ulwflx(im), nswsfc(im)
real(kind=kind_phys) :: alpha,beta,rho_w,f_nsol,sss,sep, cosa,sina,taux,tauy,grav,dz,t0,ttop0,ttop
real(kind=kind_phys) :: le,fc,dwat,dtmp,wetc,alfac,ustar_a,rich
real(kind=kind_phys) :: rnl_ts,hs_ts,hl_ts,rf_ts,q_ts
real(kind=kind_phys) :: fw,q_warm
real(kind=kind_phys) :: t12,alon,tsea,sstc,dta,dtz
real(kind=kind_phys) :: zsea1,zsea2,soltim
! external functions called: iw3jdn
integer :: iw3jdn
!
! parameters for sea spray effect
!
real (kind=kind_phys) :: f10m, u10m, v10m, ws10, ru10, qss1, bb1, hflxs, evaps, ptem
!
real (kind=kind_phys), parameter :: alps=0.75,bets=0.75,gams=0.15, ws10cr=30., &
conlf=7.2e-9, consf=6.4e-8
!
!======================================================================================================
cpinv = one/cp
hvapi = one/hvap
elocp = hvap/cp
sss = 34.0_kp ! temporarily, when sea surface salinity data is not ready
!
! save nst-related prognostic fields for guess run
!
do i=1, im
xt_old(i) = xt(i)
xs_old(i) = xs(i)
xu_old(i) = xu(i)
xv_old(i) = xv(i)
xz_old(i) = xz(i)
zm_old(i) = zm(i)
xtts_old(i) = xtts(i)
xzts_old(i) = xzts(i)
ifd_old(i) = ifd(i)
tskin_old(i) = tskin(i)
dt_cool_old(i) = dt_cool(i)
z_c_old(i) = z_c(i)
enddo
! --- ... initialize variables. all units are m.k.s. unless specified.
! ps is in pascals, wind is wind speed, theta1 is surface air
! estimated from level 1 temperature, rho_a is air density and
! qss is saturation specific humidity at the water surface
!!
do i = 1, im
if ( flag(i) ) then
nswsfc(i) = sfcnsw(i) ! net solar radiation at the air-sea surface (positive downward)
wndmag(i) = sqrt(u1(i)*u1(i) + v1(i)*v1(i))
q0(i) = max(q1(i), 1.0e-8_kp)
if(thsfc_loc) then ! Use local potential temperature
theta1(i) = t1(i) * prslki(i)
else ! Use potential temperature referenced to 1000 hPa
theta1(i) = t1(i) / prslk1(i) ! potential temperature at the middle of lowest model layer
endif
tv1(i) = t1(i) * (one + rvrdm1*q0(i))
rho_a(i) = prsl1(i) / (rd*tv1(i))
qss(i) = fpvs(tsurf(i)) ! pa
qss(i) = eps*qss(i) / (ps(i) + epsm1*qss(i)) ! pa
!
evap(i) = zero
hflx(i) = zero
gflux(i) = zero
ep(i) = zero
! --- ... rcp = rho cp ch v
rch(i) = rho_a(i) * cp * ch(i) * wind(i)
cmm(i) = cm (i) * wind(i)
chh(i) = rho_a(i) * ch(i) * wind(i)
!> - Calculate latent and sensible heat flux over open water with tskin.
! at previous time step
evap(i) = elocp * rch(i) * (qss(i) - q0(i))
qsurf(i) = qss(i)
if(thsfc_loc) then ! Use local potential temperature
hflx(i) = rch(i) * (tsurf(i) - theta1(i))
else ! Use potential temperature referenced to 1000 hPa
hflx(i) = rch(i) * (tsurf(i)/prsik1(i) - theta1(i))
endif
endif
enddo
! run nst model: dtm + slm
!
zsea1 = 0.001_kp*real(nstf_name4)
zsea2 = 0.001_kp*real(nstf_name5)
!> - Call module_nst_water_prop::density() to compute sea water density.
!> - Call module_nst_water_prop::rhocoef() to compute thermal expansion
!! coefficient (\a alpha) and saline contraction coefficient (\a beta).
do i = 1, im
if ( flag(i) ) then
tsea = tsurf(i)
t12 = tsea*tsea
ulwflx(i) = sfcemis(i) * sbc * t12 * t12
alon = xlon(i)*rad2deg
grav = grv(sinlat(i))
soltim = mod(alon/15.0_kp + solhr, 24.0_kp)*3600.0_kp
call density(tsea,sss,rho_w) ! sea water density
call rhocoef(tsea,sss,rho_w,alpha,beta) ! alpha & beta
!
!> - Calculate sensible heat flux (\a qrain) due to rainfall.
!
le = (2.501_kp-0.00237_kp*tsea)*1e6_kp
dwat = 2.11e-5_kp*(t1(i)/t0k)**1.94_kp ! water vapor diffusivity
dtmp = (one+3.309e-3_kp*(t1(i)-t0k)-1.44e-6_kp*(t1(i)-t0k)
& * (t1(i)-t0k))*0.02411_kp/(rho_a(i)*cp) ! heat diffusivity
wetc = 622.0_kp*le*qss(i)/(rd*t1(i)*t1(i))
alfac = one / (one + (wetc*le*dwat)/(cp*dtmp)) ! wet bulb factor
tem = (1.0e3_kp * rain(i) / rho_w) * alfac * cp_w
qrain(i) = tem * (tsea-t1(i)+1.0e3_kp*(qss(i)-q0(i))*le/cp)
!> - Calculate input non solar heat flux as upward = positive to models here
f_nsol = hflx(i) + evap(i) + ulwflx(i) - dlwflx(i)
& + omg_sh*qrain(i)
sep = sss*(evap(i)/le-rain(i))/rho_w
ustar_a = sqrt(stress(i)/rho_a(i)) ! air friction velocity
!
! sensitivities of heat flux components to ts
!
rnl_ts = 4.0_kp*sfcemis(i)*sbc*tsea*tsea*tsea ! d(rnl)/d(ts)
hs_ts = rch(i)
hl_ts = rch(i)*elocp*eps*hvap*qss(i)/(rd*t12)
rf_ts = tem * (one+rch(i)*hl_ts)
q_ts = rnl_ts + hs_ts + hl_ts + omg_sh*rf_ts
!
!> - Call cool_skin(), which is the sub-layer cooling parameterization
!! (Fairfall et al. (1996) \cite fairall_et_al_1996).
! & calculate c_0, c_d
!
call cool_skin(ustar_a,f_nsol,nswsfc(i),evap(i),sss,alpha,beta
&, rho_w,rho_a(i),tsea,q_ts,hl_ts,grav,le
&, dt_cool(i),z_c(i),c_0(i),c_d(i))
tem = one / wndmag(i)
cosa = u1(i)*tem
sina = v1(i)*tem
taux = max(stress(i),tau_min)*cosa
tauy = max(stress(i),tau_min)*sina
fc = const_rot*sinlat(i)
!
! Run DTM-1p system.
!
if ( (soltim > solar_time_6am .and. ifd(i) == zero) ) then
else
ifd(i) = one
!
! calculate fcl thickness with current forcing and previous time's profile
!
!> - Call convdepth() to calculate depth for convective adjustments.
if ( f_nsol > zero .and. xt(i) > zero ) then
call convdepth(kdt,timestep,nswsfc(i),f_nsol,sss,sep,rho_w
&, alpha,beta,xt(i),xs(i),xz(i),d_conv(i))
else
d_conv(i) = zero
endif
rich = ri_c
!> - Call the diurnal thermocline layer model dtm_1p().
call dtm_1p(kdt,timestep,rich,taux,tauy,nswsfc(i),
& f_nsol,sss,sep,q_ts,hl_ts,rho_w,alpha,beta,alon,
& sinlat(i),soltim,grav,le,d_conv(i),
& xt(i),xs(i),xu(i),xv(i),xz(i),xzts(i),xtts(i))
! apply mda
if ( xt(i) > zero ) then
!> - If \a dtl heat content \a xt > 0.0, call dtm_1p_mda() to apply
!! minimum depth adjustment (mda).
call dtm_1p_mda(xt(i),xtts(i),xz(i),xzts(i))
if ( xz(i) >= z_w_max ) then
!> - If \a dtl thickness >= module_nst_parameters::z_w_max, call dtl_reset()
!! to reset xt/xs/x/xv to zero, and xz to module_nst_parameters::z_w_max.
call dtl_reset(xt(i),xs(i),xu(i),xv(i),xz(i),xtts(i),
& xzts(i))
endif
! apply fca
if ( d_conv(i) > zero ) then
!> - If thickness of free convection layer > 0.0, call dtm_1p_fca()
!! to apply free convection adjustment.
!> - If \a dtl thickness >= module_nst_parameters::z_w_max(), call dtl_reset()
!! to reset xt/xs/x/xv to zero, and xz to module_nst_parameters::z_w_max().
call dtm_1p_fca(d_conv(i),xt(i),xtts(i),xz(i),xzts(i))
if ( xz(i) >= z_w_max ) then
call dtl_reset
& (xt(i),xs(i),xu(i),xv(i),xz(i),xzts(i),xtts(i))
endif
endif
! apply tla
dz = min(xz(i),max(d_conv(i),delz))
!
!> - Call sw_ps_9b() to compute the fraction of the solar radiation
!! absorbed by the depth \a delz (Paulson and Simpson (1981) \cite paulson_and_simpson_1981).
!! And calculate the total heat absorbed in warm layer.
call sw_ps_9b(delz,fw)
q_warm = fw*nswsfc(i)-f_nsol !total heat absorbed in warm layer
!> - Call cal_ttop() to calculate the diurnal warming amount at the top layer with
!! thickness of \a dz.
if ( q_warm > zero ) then
call cal_ttop(kdt,timestep,q_warm,rho_w,dz,
& xt(i),xz(i),ttop0)
ttop = ((xt(i)+xt(i))/xz(i))*(one-dz/((xz(i)+xz(i))))
!> - Call dtm_1p_tla() to apply top layer adjustment.
if ( ttop > ttop0 ) then
call dtm_1p_tla(dz,ttop0,xt(i),xtts(i),xz(i),xzts(i))
if ( xz(i) >= z_w_max ) then
call dtl_reset
& (xt(i),xs(i),xu(i),xv(i),xz(i),xzts(i),xtts(i))
endif
endif
endif ! if ( q_warm > 0.0 ) then
! apply mwa
!> - Call dt_1p_mwa() to apply maximum warming adjustment.
t0 = (xt(i)+xt(i))/xz(i)
if ( t0 > tw_max ) then
call dtm_1p_mwa(xt(i),xtts(i),xz(i),xzts(i))
if ( xz(i) >= z_w_max ) then
call dtl_reset
& (xt(i),xs(i),xu(i),xv(i),xz(i),xzts(i),xtts(i))
endif
endif
! apply mta
!> - Call dtm_1p_mta() to apply maximum temperature adjustment.
sstc = tref(i) + (xt(i)+xt(i))/xz(i) - dt_cool(i)
if ( sstc > sst_max ) then
dta = sstc - sst_max
call dtm_1p_mta(dta,xt(i),xtts(i),xz(i),xzts(i))
! write(*,'(a,f3.0,7f8.3)') 'mta, sstc,dta :',islimsk(i),
! & sstc,dta,tref(i),xt(i),xz(i),2.0*xt(i)/xz(i),dt_cool(i)
if ( xz(i) >= z_w_max ) then
call dtl_reset
& (xt(i),xs(i),xu(i),xv(i),xz(i),xzts(i),xtts(i))
endif
endif
!
endif ! if ( xt(i) > 0.0 ) then
! reset dtl at midnight and when solar zenith angle > 89.994 degree
if ( abs(soltim) < 2.0_kp*timestep ) then
call dtl_reset
& (xt(i),xs(i),xu(i),xv(i),xz(i),xzts(i),xtts(i))
endif
endif ! if (solar_time > solar_time_6am .and. ifd(i) == 0.0 ) then: too late to start the first day
!> - Call get_dtzm_point() to computes \a dtz and \a tsurf.
call get_dtzm_point(xt(i),xz(i),dt_cool(i),z_c(i),
& zsea1,zsea2,dtz)
tsurf(i) = max(tgice, tref(i) + dtz )
!> - Call cal_w() to calculate \a w_0 and \a w_d.
if ( xt(i) > zero ) then
call cal_w(kdt,xz(i),xt(i),xzts(i),xtts(i),w_0(i),w_d(i))
else
w_0(i) = zero
w_d(i) = zero
endif
! if ( xt(i) > 0.0 ) then
! rig(i) = grav*xz(i)*xz(i)*(alpha*xt(i)-beta*xs(i))
! & /(2.0*(xu(i)*xu(i)+xv(i)*xv(i)))
! else
! rig(i) = 0.25
! endif
! qrain(i) = rig(i)
zm(i) = wind(i)
endif
enddo
! restore nst-related prognostic fields for guess run
do i=1, im
if (flag_guess(i)) then ! when it is guess of
xt(i) = xt_old(i)
xs(i) = xs_old(i)
xu(i) = xu_old(i)
xv(i) = xv_old(i)
xz(i) = xz_old(i)
zm(i) = zm_old(i)
xtts(i) = xtts_old(i)
xzts(i) = xzts_old(i)
ifd(i) = ifd_old(i)
tskin(i) = tskin_old(i)
dt_cool(i) = dt_cool_old(i)
z_c(i) = z_c_old(i)
else
!
! update tskin when coupled and not guess run
! (all other NSST variables have been updated in this case)
!
if ( nstf_name1 > 1 ) then
tskin(i) = tsurf(i)
endif ! if nstf_name1 > 1 then
endif ! if flag_guess(i) then
enddo
if ( nstf_name1 > 1 ) then
!> - Calculate latent and sensible heat flux over open water with updated tskin
!! for the grids of open water and the iteration is on.
do i = 1, im
if ( flag(i) ) then
qss(i) = fpvs( tskin(i) )
qss(i) = eps*qss(i) / (ps(i) + epsm1*qss(i))
qsurf(i) = qss(i)
evap(i) = elocp*rch(i) * (qss(i) - q0(i))
if(thsfc_loc) then ! Use local potential temperature
hflx(i) = rch(i) * (tskin(i) - theta1(i))
else ! Use potential temperature referenced to 1000 hPa
hflx(i) = rch(i) * (tskin(i)/prsik1(i) - theta1(i))
endif
endif
enddo
endif ! if ( nstf_name1 > 1 ) then
!
!> - Include sea spray effects
!
do i=1,im
if(lseaspray .and. flag(i)) then
f10m = fm10(i) / fm(i)
u10m = f10m * u1(i)
v10m = f10m * v1(i)
ws10 = sqrt(u10m*u10m + v10m*v10m)
ws10 = max(ws10,1.)
ws10 = min(ws10,ws10cr)
tem = .015 * ws10 * ws10
ru10 = 1. - .087 * log(10./tem)
qss1 = fpvs(t1(i))
qss1 = eps * qss1 / (prsl1(i) + epsm1 * qss1)
tem = rd * cp * t1(i) * t1(i)
tem = 1. + eps * hvap * hvap * qss1 / tem
bb1 = 1. / tem
evaps = conlf * (ws10**5.4) * ru10 * bb1
evaps = evaps * rho_a(i) * hvap * (qss1 - q0(i))
evap(i) = evap(i) + alps * evaps
hflxs = consf * (ws10**3.4) * ru10
hflxs = hflxs * rho_a(i) * cp * (tskin(i) - t1(i))
ptem = alps - gams
hflx(i) = hflx(i) + bets * hflxs - ptem * evaps
endif
enddo
!
do i=1,im
if ( flag(i) ) then
tem = one / rho_a(i)
hflx(i) = hflx(i) * tem * cpinv
evap(i) = evap(i) * tem * hvapi
endif
enddo
return
end subroutine sfc_nst_run
!> @}
end module sfc_nst