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additional factor when converting surface heat fluxes from dry to moist theta #1259

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Dec 29, 2020
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26 changes: 18 additions & 8 deletions dyn_em/module_diffusion_em.F
Original file line number Diff line number Diff line change
Expand Up @@ -4282,11 +4282,13 @@ SUBROUTINE vertical_diffusion_2 ( ru_tendf, rv_tendf, rw_tendf, rt_tendf, &
DO i = i_start, i_end
cpm = cp * (1. + 0.8 * moist(i,kts,j,P_QV))
hfx(i,j)=heat_flux*cpm*rho(i,kts,j) ! provided for output only
rt_tendf(i,kts,j)=rt_tendf(i,kts,j) &
-g*heat_flux*rho(i,kts,j)/dnw(kts)
if(config_flags%use_theta_m == 1)THEN
rt_tendf(i,kts,j)=rt_tendf(i,kts,j) &
-g*heat_flux*(1.+rvovrd*moist(i,kts,j,P_QV))*rho(i,kts,j)/dnw(kts) &
-g*1.61*theta(i,kts,j)*qfx(i,j)/dnw(kts)
ELSE
rt_tendf(i,kts,j)=rt_tendf(i,kts,j) &
-g*heat_flux*rho(i,kts,j)/dnw(kts)
ENDIF
ENDDO
ENDDO
Expand All @@ -4297,11 +4299,13 @@ SUBROUTINE vertical_diffusion_2 ( ru_tendf, rv_tendf, rw_tendf, rt_tendf, &

cpm = cp * (1. + 0.8 * moist(i,kts,j,P_QV))
heat_flux = hfx(i,j)/cpm
rt_tendf(i,kts,j)=rt_tendf(i,kts,j) &
-g*heat_flux/dnw(kts)
if(config_flags%use_theta_m == 1)THEN
rt_tendf(i,kts,j)=rt_tendf(i,kts,j) &
-g*heat_flux*(1.+rvovrd*moist(i,kts,j,P_QV))/dnw(kts) &
-g*1.61*theta(i,kts,j)*qfx(i,j)/dnw(kts)
ELSE
rt_tendf(i,kts,j)=rt_tendf(i,kts,j) &
-g*heat_flux/dnw(kts)
ENDIF

ENDDO
Expand Down Expand Up @@ -7717,7 +7721,7 @@ SUBROUTINE vertical_diffusion_implicit(ru_tendf, rv_tendf, rw_tendf, rt_tendf,&
INTEGER :: i_start, i_end, j_start, j_end

REAL :: V0_u,V0_v,ustar,beta
REAL :: heat_flux, moist_flux
REAL :: heat_flux, moist_flux, qfac
REAL :: cpm,rdz_w,rhoavg_u,rhoavg_v,rdz_z
! End declarations.
!-----------------------------------------------------------------------
Expand Down Expand Up @@ -8094,17 +8098,23 @@ SUBROUTINE vertical_diffusion_implicit(ru_tendf, rv_tendf, rw_tendf, rt_tendf,&
- dt*rdz_w*nlflux_rho(i,k+1,j) &
+ dt*rdz_w*hfx(i,j)/cpm
ELSE
qfac = 1.+rvovrd*moist(i,kts,j,P_QV)
d(k) = var_mix(i,kts,j) &
- dt*rdz_w*nlflux_rho(i,k+1,j) &
+ dt*rdz_w*(hfx(i,j)/cpm+1.61*theta(i,kts,j)*qfx(i,j))
- dt*rdz_w*nlflux_rho(i,k+1,j)*qfac &
+ dt*rdz_w*(qfac*hfx(i,j)/cpm+1.61*theta(i,kts,j)*qfx(i,j))
ENDIF

DO k = kts+1, ktf-1
rdz_w = -g/dnw(k)/(c1h(k)*mu(i,j) + c2h(k))
IF(config_flags%use_theta_m == 1)THEN
qfac = 1.+rvovrd*moist(i,k,j,P_QV)
ELSE
qfac = 1.
ENDIF
a(k) = -rdz_w*rdz(i,k,j)*xkxavg(i,k,j)*dt
b(k) = 1.+rdz_w*(rdz(i,k+1,j)*xkxavg(i,k+1,j)+rdz(i,k,j)*xkxavg(i,k,j))*dt
c(k) = -rdz_w*rdz(i,k+1,j)*xkxavg(i,k+1,j)*dt
d(k) = -rdz_w*(nlflux_rho(i,k+1,j)-nlflux_rho(i,k,j))*dt + var_mix(i,k,j)
d(k) = -rdz_w*(nlflux_rho(i,k+1,j)-nlflux_rho(i,k,j))*qfac*dt + var_mix(i,k,j)
ENDDO

a(ktf) = 0.
Expand Down