Version: dev

RTRNSweep

RRTM longwave radiative transfer (SUBROUTINE RTRN of phys/module_ra_rrtm.F, WRF 4.8; Mlawer et al. 1997, Iacono's CCM revision): from the quantised gas optical depths ITR and Planck fractions PFRAC of GASABS, the cloud optical depths and fractions, and the layer/level temperatures of the extended RRTM column, compute the Planck sources, the one-angle (diffusivity-angle, secant 1.66) downward and upward radiance sweeps for all 140 g-points with the RRTM cloud-fraction overlap, the clear-sky sweeps, the band-summed and total up/down fluxes, and RRTM's heating rates HTR/HTRC. The two sweeps are esm-spec 4.3.1.1 recurrences over the level index (one per g-point): each level's radiance is the previous level's radiance transmitted through the intervening layer plus that layer's emission, a genuinely sequential integration of the Schwarzschild equation that has no closed form once the layer sources vary (EqWeFiC CLAUDE.md: recurrences are reserved for sequential sweeps such as two-stream up/down passes). Layer 1 of rlay is the lowest RRTM layer (surface), level 1 of rlev the surface; the downward sweep is written on a top-counted index and gathered back so that the recurrence reads strictly earlier cells. Gas optics (GASABS/TAUGB1-16) are not part of this component: ITR and PFRAC are inputs, computed by rrtm_gas_optics.esm. EqWeFiC, cited here for CLAUDE.md, FORTRAN_BUGS.md, couplings/ and components/atmospheric_dynamics/wrf_arw/, is https://github.com/EarthSciML/EqWeFiC, where these components were developed and are coupled into a WRF column.

.esm schema
1.2.0
Source
components/atmospheric_radiation/rrtm_lw/rtrn_sweep.esm

Description

RRTM longwave radiative transfer (SUBROUTINE RTRN of phys/module_ra_rrtm.F, WRF 4.8; Mlawer et al. 1997, Iacono’s CCM revision): from the quantised gas optical depths ITR and Planck fractions PFRAC of GASABS, the cloud optical depths and fractions, and the layer/level temperatures of the extended RRTM column, compute the Planck sources, the one-angle (diffusivity-angle, secant 1.66) downward and upward radiance sweeps for all 140 g-points with the RRTM cloud-fraction overlap, the clear-sky sweeps, the band-summed and total up/down fluxes, and RRTM’s heating rates HTR/HTRC. The two sweeps are esm-spec 4.3.1.1 recurrences over the level index (one per g-point): each level’s radiance is the previous level’s radiance transmitted through the intervening layer plus that layer’s emission, a genuinely sequential integration of the Schwarzschild equation that has no closed form once the layer sources vary (EqWeFiC CLAUDE.md: recurrences are reserved for sequential sweeps such as two-stream up/down passes). Layer 1 of rlay is the lowest RRTM layer (surface), level 1 of rlev the surface; the downward sweep is written on a top-counted index and gathered back so that the recurrence reads strictly earlier cells. Gas optics (GASABS/TAUGB1-16) are not part of this component: ITR and PFRAC are inputs, computed by rrtm_gas_optics.esm. EqWeFiC, cited here for CLAUDE.md, FORTRAN_BUGS.md, couplings/ and components/atmospheric_dynamics/wrf_arw/, is https://github.com/EarthSciML/EqWeFiC , where these components were developed and are coupled into a WRF column.

Parameters

NameUnitsDefaultDescription
tavel_inK250.0Coupling target (assembly input path): a shaped parameter that receives tavel from the upstream component through a document-level coupling.variable_map (param_to_var) when the assembly’s mount-edge template library lowers input_tavel to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, input_tavel is lowered to a dumped column by the test’s library and this parameter is unused (default 0).
tz_inK250.0Coupling target (assembly input path): a shaped parameter that receives tz from the upstream component through a document-level coupling.variable_map (param_to_var) when the assembly’s mount-edge template library lowers input_tz to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, input_tz is lowered to a dumped column by the test’s library and this parameter is unused (default 0).
pz_inhPa0.0Coupling target (assembly input path): a shaped parameter that receives pz from the upstream component through a document-level coupling.variable_map (param_to_var) when the assembly’s mount-edge template library lowers input_pz to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, input_pz is lowered to a dumped column by the test’s library and this parameter is unused (default 0).
cldfrac_in10.0Coupling target (assembly input path): a shaped parameter that receives cldfrac from the upstream component through a document-level coupling.variable_map (param_to_var) when the assembly’s mount-edge template library lowers input_cldfrac to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, input_cldfrac is lowered to a dumped column by the test’s library and this parameter is unused (default 0).
taucloud_in10.0Coupling target (assembly input path): a shaped parameter that receives taucloud from the upstream component through a document-level coupling.variable_map (param_to_var) when the assembly’s mount-edge template library lowers input_taucloud to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, input_taucloud is lowered to a dumped column by the test’s library and this parameter is unused (default 0).
semiss_in10.0Coupling target (assembly input path): a shaped parameter that receives semiss from the upstream component through a document-level coupling.variable_map (param_to_var) when the assembly’s mount-edge template library lowers input_semiss to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, input_semiss is lowered to a dumped column by the test’s library and this parameter is unused (default 0).
pfrac_flat_in10.0Coupling target (assembly input path): a shaped parameter that receives pfrac_flat from the upstream component through a document-level coupling.variable_map (param_to_var) when the assembly’s mount-edge template library lowers input_pfrac_flat to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, input_pfrac_flat is lowered to a dumped column by the test’s library and this parameter is unused (default 0).
itr_flat_in10.0Coupling target (assembly input path): a shaped parameter that receives itr_flat from the upstream component through a document-level coupling.variable_map (param_to_var) when the assembly’s mount-edge template library lowers input_itr_flat to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, input_itr_flat is lowered to a dumped column by the test’s library and this parameter is unused (default 0).
tboundK288.0Surface (skin) temperature TBOUND.

Observed

NameUnitsDefaultDescription
tavelKRRTM layer temperatures TAVEL (extended column, layer 1 lowest).
tzKRRTM level temperatures TZ(0:NLAYERS); level 1 is the surface.
pzhPaRRTM level pressures PZ(0:NLAYERS) in hPa.
zehPaPressure distance above the surface of each RRTM level, pz[1] - pz (hPa, increasing upward): the interface coordinate of the EarthSciDiscretizations column_nonuniform_1d grid this component imports on the extended RRTM column (lev -> rlay, lev_nodes -> rlev, NLEV + NBUF layers), so that D(F, wrt: rlay) lowers to (F[l+1] - F[l]) / (pz[l] - pz[l+1]).
dzhPaRRTM layer pressure thickness pz[l] - pz[l+1] (hPa), the grid’s layer measure (column_cell_thickness of ze) that the face-flux divergence rule divides by.
cldfrac1Layer cloud fraction CLDFRAC (0 or 1 with WRF’s icloud = 1 overcast forcing).
taucloud1Layer cloud optical depth TAUCLOUD (MM5ATM).
semiss1Surface emissivity per band SEMISS.
pfrac_flat1GASABS Planck fractions PFRAC(NGPT, NLAYERS) flattened g-point fastest: element (l-1) NGPT + g is PFRAC(g, l).
itr_flat1GASABS table indices ITR(NGPT, NLAYERS) flattened g-point fastest (integers 0..5000 carried as reals).
pfrac1Planck fraction of each g-point in each layer (PFRAC).
itr1Quantised transition-fraction index of each g-point and layer (ITR).
ngb1Band of each g-point (RRTM NGB).
delwave1/cmBand widths in wavenumber (RRTM DELWAVE).
totplnkW*cm/m^2Band-integrated Planck function per unit wavenumber at T = PLANCK_T0 + i (RRTM TOTPLNK table, in the units that make DELWAVE TOTPLNK x WTNUM FLUXFAC a flux in W/m^2). Spelled as an aggregate over the const table rather than the bare const: the Rust CLI folds a gather from a bare const array at interpreter-build time, before document-level couplings are applied, so with the temperatures coupled in (EqWeFiC couplings/rrtm_lw_column.esm) the fold saw T = 0 and failed with E_TREEWALK_CONSTARRAY_OOB.
tau_gas1Diffusivity-weighted gas optical depth as RTRN uses it: the TAU table entry at ITR (ODCLR).
trans_gas1Gas transmittance e^-tau (TRANS(ITR)).
abss1Gas absorptance 1 - TRANS(ITR) (ABSS).
tf1Tau-transition function TF(ITR) weighting the layer source between the layer-mean and the level Planck emissions.
icld1Cloud indicator ICLDLYR: 1 where CLDFRAC > 0.
odcld1Diffusivity-weighted cloud optical depth SECANG TAUCLOUD (ODCLD).
abscld1Cloud absorptance 1 - e^-ODCLD (ABSCLD).
efclfrac1Effective cloud fraction ABSCLD CLDFRAC (EFCLFRAC).
atot1Combined gas + cloud absorptance ABSS + ABSCLD - ABSS ABSCLD (ATOT).
factot1Pade transition fraction of the total (gas + cloud) optical depth, ODSM/(BPADE + ODSM) (FACTOT), the source weight used in cloudy layers.
plvlW/m^2Band Planck integral at the level temperatures (PLVL(IBAND, 0:NLAYERS)).
playW/m^2Band Planck integral at the layer temperatures (PLAY).
plankbndW/m^2Band Planck integral at the surface temperature (PLANKBND).
plvl_sfcW/m^2PLVL at the surface level (rank-1 view for the tests).
plvl_toaW/m^2PLVL at the top of the RRTM column (rank-1 view for the tests).
play_botW/m^2PLAY in the lowest layer (rank-1 view for the tests).
bglayW/m^2Layer Planck source of each g-point PFRAC PLAY(NGB) (BGLAY).
bglev_upW/m^2Planck emission at a layer’s upper level as RTRN uses it: PLVL(NGB, LEV) weighted by the Planck fraction of the layer ABOVE (RTRN carries BGLEV from the previous downward iteration, so layer LEV’s upper source uses PFRAC(LEV+1); the top layer uses its own).
bglev_dnW/m^2Planck emission at a layer’s lower level, PFRAC(LEV) PLVL(NGB, LEV-1).
bbuW/m^2Upward gas source BGLAY + TF (BGLEV_up - BGLAY) (BBU).
bbutotW/m^2Upward total (gas + cloud) source BGLAY + FACTOT (BGLEV_up - BGLAY) (BBUTOT).
bbdW/m^2Downward gas source BGLAY + TF (BGLEV_dn - BGLAY) (BBD).
bbdlevdW/m^2Downward total source BGLAY + FACTOT (BGLEV_dn - BGLAY) (BBDLEVD).
semis_g1Surface emissivity at the band of each g-point (SEMIS).
raduemitW/m^2Surface emission per g-point PFRAC(g, 1) SEMISS PLANKBND (RADUEMIT).
rad_dn_topW/m^2Downward radiance per g-point on the TOP-COUNTED level index m (m = 1 is the top of the RRTM column, m = NLAYERS + 1 the surface): the recurrence RADLD of RTRN loop 3000, zero at the top and propagated down through layer NLAYERS + 2 - m.
rad_dnW/m^2Downward radiance per g-point at each level, surface first (RADLD reordered).
rad_dn_clr_topW/m^2Clear-sky downward radiance on the top-counted index (RADCLRD): the clear-layer transfer applied in every layer. RTRN copies RADLD into RADCLRD until the first cloudy layer is met (ICLDDN), which equals this recurrence exactly because above the first cloud the two are identical.
rad_dn_clrW/m^2Clear-sky downward radiance per g-point, surface first.
rad_upW/m^2Upward radiance per g-point (RADLU): surface emission plus reflected downward radiance at level 1, then the layer transfers upward (RTRN loop 5000).
rad_up_clrW/m^2Clear-sky upward radiance per g-point (RADCLRU).
F_dnW/m^2Downward longwave flux at the RRTM levels, WTNUM FLUXFAC sum over g-points (TOTDFLUX).
F_upW/m^2Upward longwave flux (TOTUFLUX).
F_dn_clrW/m^2Clear-sky downward flux (TOTDCLFL).
F_up_clrW/m^2Clear-sky upward flux (TOTUCLFL).
F_dn_band_sfcW/m^2Per-band downward flux at the surface (sum over the band’s g-points).
F_up_band_sfcW/m^2Per-band upward flux at the surface (sum over the band’s g-points).
F_up_band_toaW/m^2Per-band upward flux at the top of the RRTM column (sum over the band’s g-points).
F_dn_band_mtopW/m^2Per-band downward flux at the model top (level NLEV + 1; sum over the band’s g-points).
F_netW/m^2Net upward flux F_up - F_dn (FNET).
F_net_clrW/m^2Clear-sky net upward flux (FNETC).
htrK/dayRRTM heating rate of each layer of the extended column, -HEATFAC dF_net/ds with s = ze the pressure distance above the surface, lowered by the EarthSciDiscretizations face_flux_D_lev_supplied_faces rule to HEATFAC (FNET(L-1) - FNET(L))/(PZ(L-1) - PZ(L)) (RTRN loop 7000: HTR(L-1) is layer L; K/day). The same rule gives rrtm_lw_heating.esm its dTdt on the model layers.
htrcK/dayClear-sky heating rate (HTRC), the htr divergence applied to the clear-sky net flux.
glwW/m^2Downward longwave flux at the surface, TOTDFLUX(0) (WRF GLW; template wrf_glw of rrtm_flux_diagnostics.esm, shared with rrtm_lw_heating.esm).
olrW/m^2Upward flux at the MODEL top, TOTUFLUX(kte) – WRF’s OLR (EqWeFiC FORTRAN_BUGS.md N14; template wrf_olr of rrtm_flux_diagnostics.esm, shared with rrtm_lw_heating.esm).
olr_toaW/m^2Upward flux at the top of the extended RRTM column, TOTUFLUX(NLAYERS).

Observed expressions

$$ tavel = \mathrm{input_tavel}\left(\right) $$

RRTM layer temperatures TAVEL (extended column, layer 1 lowest).

$$ tz = \mathrm{input_tz}\left(\right) $$

RRTM level temperatures TZ(0:NLAYERS); level 1 is the surface.

$$ pz = \mathrm{input_pz}\left(\right) $$

RRTM level pressures PZ(0:NLAYERS) in hPa.

$$ ze = \mathrm{aggregate}\left(pz\right) $$

Pressure distance above the surface of each RRTM level, pz[1] - pz (hPa, increasing upward): the interface coordinate of the EarthSciDiscretizations column_nonuniform_1d grid this component imports on the extended RRTM column (lev -> rlay, lev_nodes -> rlev, NLEV + NBUF layers), so that D(F, wrt: rlay) lowers to (F[l+1] - F[l]) / (pz[l] - pz[l+1]).

$$ dz = \mathrm{column_cell_thickness}\left(ze=ze\right) $$

RRTM layer pressure thickness pz[l] - pz[l+1] (hPa), the grid’s layer measure (column_cell_thickness of ze) that the face-flux divergence rule divides by.

$$ cldfrac = \mathrm{input_cldfrac}\left(\right) $$

Layer cloud fraction CLDFRAC (0 or 1 with WRF’s icloud = 1 overcast forcing).

$$ taucloud = \mathrm{input_taucloud}\left(\right) $$

Layer cloud optical depth TAUCLOUD (MM5ATM).

$$ semiss = \mathrm{input_semiss}\left(\right) $$

Surface emissivity per band SEMISS.

$$ pfrac_{flat} = \mathrm{input_pfrac_flat}\left(\right) $$

GASABS Planck fractions PFRAC(NGPT, NLAYERS) flattened g-point fastest: element (l-1) NGPT + g is PFRAC(g, l).

$$ itr_{flat} = \mathrm{input_itr_flat}\left(\right) $$

GASABS table indices ITR(NGPT, NLAYERS) flattened g-point fastest (integers 0..5000 carried as reals).

$$ pfrac = \mathrm{aggregate}\left(\right) $$

Planck fraction of each g-point in each layer (PFRAC).

$$ itr = \mathrm{aggregate}\left(\right) $$

Quantised transition-fraction index of each g-point and layer (ITR).

$$ ngb = \mathrm{rrtm_gpoint_band}\left(\right) $$

Band of each g-point (RRTM NGB).

$$ delwave = \mathrm{rrtm_delwave}\left(\right) $$

Band widths in wavenumber (RRTM DELWAVE).

$$ totplnk = \mathrm{aggregate}\left(\right) $$

Band-integrated Planck function per unit wavenumber at T = PLANCK_T0 + i (RRTM TOTPLNK table, in the units that make DELWAVE TOTPLNK x WTNUM FLUXFAC a flux in W/m^2). Spelled as an aggregate over the const table rather than the bare const: the Rust CLI folds a gather from a bare const array at interpreter-build time, before document-level couplings are applied, so with the temperatures coupled in (EqWeFiC couplings/rrtm_lw_column.esm) the fold saw T = 0 and failed with E_TREEWALK_CONSTARRAY_OOB.

$$ tau_{gas} = \mathrm{aggregate}\left(\right) $$

Diffusivity-weighted gas optical depth as RTRN uses it: the TAU table entry at ITR (ODCLR).

$$ trans_{gas} = e^{-tau_{gas}} $$

Gas transmittance e^-tau (TRANS(ITR)).

$$ abss = 1.0 - trans_{gas} $$

Gas absorptance 1 - TRANS(ITR) (ABSS).

$$ tf = \mathrm{aggregate}\left(\right) $$

Tau-transition function TF(ITR) weighting the layer source between the layer-mean and the level Planck emissions.

$$ icld = \mathrm{aggregate}\left(\right) $$

Cloud indicator ICLDLYR: 1 where CLDFRAC > 0.

$$ odcld = par.secang \cdot taucloud $$

Diffusivity-weighted cloud optical depth SECANG TAUCLOUD (ODCLD).

$$ abscld = 1.0 - e^{-odcld} $$

Cloud absorptance 1 - e^-ODCLD (ABSCLD).

$$ efclfrac = abscld \cdot cldfrac $$

Effective cloud fraction ABSCLD CLDFRAC (EFCLFRAC).

$$ atot = \mathrm{aggregate}\left(\right) $$

Combined gas + cloud absorptance ABSS + ABSCLD - ABSS ABSCLD (ATOT).

$$ factot = \mathrm{aggregate}\left(\right) $$

Pade transition fraction of the total (gas + cloud) optical depth, ODSM/(BPADE + ODSM) (FACTOT), the source weight used in cloudy layers.

$$ plvl = \mathrm{aggregate}\left(\right) $$

Band Planck integral at the level temperatures (PLVL(IBAND, 0:NLAYERS)).

$$ play = \mathrm{aggregate}\left(\right) $$

Band Planck integral at the layer temperatures (PLAY).

$$ plankbnd = \mathrm{aggregate}\left(\right) $$

Band Planck integral at the surface temperature (PLANKBND).

$$ plvl_{sfc} = \mathrm{aggregate}\left(\right) $$

PLVL at the surface level (rank-1 view for the tests).

$$ plvl_{toa} = \mathrm{aggregate}\left(\right) $$

PLVL at the top of the RRTM column (rank-1 view for the tests).

$$ play_{bot} = \mathrm{aggregate}\left(\right) $$

PLAY in the lowest layer (rank-1 view for the tests).

$$ bglay = \mathrm{aggregate}\left(\right) $$

Layer Planck source of each g-point PFRAC PLAY(NGB) (BGLAY).

$$ bglev_{up} = \mathrm{aggregate}\left(\right) $$

Planck emission at a layer’s upper level as RTRN uses it: PLVL(NGB, LEV) weighted by the Planck fraction of the layer ABOVE (RTRN carries BGLEV from the previous downward iteration, so layer LEV’s upper source uses PFRAC(LEV+1); the top layer uses its own).

$$ bglev_{dn} = \mathrm{aggregate}\left(\right) $$

Planck emission at a layer’s lower level, PFRAC(LEV) PLVL(NGB, LEV-1).

$$ bbu = bglay + tf \cdot \left(bglev_{up} - bglay\right) $$

Upward gas source BGLAY + TF (BGLEV_up - BGLAY) (BBU).

$$ bbutot = bglay + factot \cdot \left(bglev_{up} - bglay\right) $$

Upward total (gas + cloud) source BGLAY + FACTOT (BGLEV_up - BGLAY) (BBUTOT).

$$ bbd = bglay + tf \cdot \left(bglev_{dn} - bglay\right) $$

Downward gas source BGLAY + TF (BGLEV_dn - BGLAY) (BBD).

$$ bbdlevd = bglay + factot \cdot \left(bglev_{dn} - bglay\right) $$

Downward total source BGLAY + FACTOT (BGLEV_dn - BGLAY) (BBDLEVD).

$$ semis_{g} = \mathrm{aggregate}\left(\right) $$

Surface emissivity at the band of each g-point (SEMIS).

$$ raduemit = \mathrm{aggregate}\left(\right) $$

Surface emission per g-point PFRAC(g, 1) SEMISS PLANKBND (RADUEMIT).

$$ rad_{dn\,top} = \mathrm{aggregate}\left(\right) $$

Downward radiance per g-point on the TOP-COUNTED level index m (m = 1 is the top of the RRTM column, m = NLAYERS + 1 the surface): the recurrence RADLD of RTRN loop 3000, zero at the top and propagated down through layer NLAYERS + 2 - m.

$$ rad_{dn} = \mathrm{aggregate}\left(\right) $$

Downward radiance per g-point at each level, surface first (RADLD reordered).

$$ rad_{dn\,clr\,top} = \mathrm{aggregate}\left(\right) $$

Clear-sky downward radiance on the top-counted index (RADCLRD): the clear-layer transfer applied in every layer. RTRN copies RADLD into RADCLRD until the first cloudy layer is met (ICLDDN), which equals this recurrence exactly because above the first cloud the two are identical.

$$ rad_{dn\,clr} = \mathrm{aggregate}\left(\right) $$

Clear-sky downward radiance per g-point, surface first.

$$ rad_{up} = \mathrm{aggregate}\left(\right) $$

Upward radiance per g-point (RADLU): surface emission plus reflected downward radiance at level 1, then the layer transfers upward (RTRN loop 5000).

$$ rad_{up\,clr} = \mathrm{aggregate}\left(\right) $$

Clear-sky upward radiance per g-point (RADCLRU).

$$ F_{dn} = \mathrm{aggregate}\left(\right) $$

Downward longwave flux at the RRTM levels, WTNUM FLUXFAC sum over g-points (TOTDFLUX).

$$ F_{up} = \mathrm{aggregate}\left(\right) $$

Upward longwave flux (TOTUFLUX).

$$ F_{dn\,clr} = \mathrm{aggregate}\left(\right) $$

Clear-sky downward flux (TOTDCLFL).

$$ F_{up\,clr} = \mathrm{aggregate}\left(\right) $$

Clear-sky upward flux (TOTUCLFL).

$$ F_{dn\,band\,sfc} = \mathrm{aggregate}\left(\right) $$

Per-band downward flux at the surface (sum over the band’s g-points).

$$ F_{up\,band\,sfc} = \mathrm{aggregate}\left(\right) $$

Per-band upward flux at the surface (sum over the band’s g-points).

$$ F_{up\,band\,toa} = \mathrm{aggregate}\left(\right) $$

Per-band upward flux at the top of the RRTM column (sum over the band’s g-points).

$$ F_{dn\,band\,mtop} = \mathrm{aggregate}\left(\right) $$

Per-band downward flux at the model top (level NLEV + 1; sum over the band’s g-points).

$$ F_{net} = F_{up} - F_{dn} $$

Net upward flux F_up - F_dn (FNET).

$$ F_{net\,clr} = F_{up\,clr} - F_{dn\,clr} $$

Clear-sky net upward flux (FNETC).

$$ htr = \left(-1.0\right) \cdot par.heatfac \cdot \mathrm{D}\left(F_{net}\right) $$

RRTM heating rate of each layer of the extended column, -HEATFAC dF_net/ds with s = ze the pressure distance above the surface, lowered by the EarthSciDiscretizations face_flux_D_lev_supplied_faces rule to HEATFAC (FNET(L-1) - FNET(L))/(PZ(L-1) - PZ(L)) (RTRN loop 7000: HTR(L-1) is layer L; K/day). The same rule gives rrtm_lw_heating.esm its dTdt on the model layers.

$$ htrc = \left(-1.0\right) \cdot par.heatfac \cdot \mathrm{D}\left(F_{net\,clr}\right) $$

Clear-sky heating rate (HTRC), the htr divergence applied to the clear-sky net flux.

$$ glw = \mathrm{wrf_glw}\left(F_{dn}=F_{dn}\right) $$

Downward longwave flux at the surface, TOTDFLUX(0) (WRF GLW; template wrf_glw of rrtm_flux_diagnostics.esm, shared with rrtm_lw_heating.esm).

$$ olr = \mathrm{wrf_olr}\left(F_{up}=F_{up}\right) $$

Upward flux at the MODEL top, TOTUFLUX(kte) – WRF’s OLR (EqWeFiC FORTRAN_BUGS.md N14; template wrf_olr of rrtm_flux_diagnostics.esm, shared with rrtm_lw_heating.esm).

$$ olr_{toa} = \mathrm{index}\left(F_{up}, NLEV + NBUF + 1\right) $$

Upward flux at the top of the extended RRTM column, TOTUFLUX(NLAYERS).

Expression Templates

table_optical_depth

Parameters: itr, n_table, bpade, tau_saturated

$$ \mathrm{ifelse}\left(\mathrm{>=}\left(itr, n_{table}\right), tau_{saturated}, \frac{bpade \cdot \frac{itr}{n_{table}}}{1.0 - \frac{itr}{n_{table}}}\right) $$

tau_transition

Parameters: tau, trans, threshold

$$ \mathrm{ifelse}\left(\mathrm{<}\left(tau, threshold\right), \frac{tau}{6.0}, 1.0 - 2.0 \cdot \left(\frac{1.0}{\mathrm{max}\left(tau, threshold\right)} - \frac{trans}{1.0 - trans}\right)\right) $$

planck_band_integral

Parameters: T, b, totplnk, delwave, kelvin

$$ \mathrm{index}\left(delwave, b\right) \cdot \left(\mathrm{index}\left(totplnk, \mathrm{floor}\left(\frac{T}{kelvin}\right) - PLANCK_{T0}, b\right) + \left(\frac{T}{kelvin} - \mathrm{floor}\left(\frac{T}{kelvin}\right)\right) \cdot \left(\mathrm{index}\left(totplnk, \mathrm{floor}\left(\frac{T}{kelvin}\right) - PLANCK_{T0} + 1, b\right) - \mathrm{index}\left(totplnk, \mathrm{floor}\left(\frac{T}{kelvin}\right) - PLANCK_{T0}, b\right)\right)\right) $$

band_value_at_gpoint

Parameters: field, ngb, g, l

$$ \mathrm{index}\left(field, \mathrm{index}\left(ngb, g\right), l\right) $$

band_scalar_at_gpoint

Parameters: field, ngb, g

$$ \mathrm{index}\left(field, \mathrm{index}\left(ngb, g\right)\right) $$

clear_layer_transfer

Parameters: incoming, source, absorptance

$$ incoming + \left(source - incoming\right) \cdot absorptance $$

cloudy_layer_transfer

Parameters: incoming, gas_source, total_source, absorptance, atot, efclfrac, cldfrac

$$ incoming - incoming \cdot \left(absorptance + efclfrac \cdot \left(1.0 - absorptance\right)\right) + gas_{source} \cdot absorptance + cldfrac \cdot \left(total_{source} \cdot atot - gas_{source} \cdot absorptance\right) $$

Raw .esm

Raw .esm JSON (this component)
{
  "subsystems": {
    "wrf": {
      "ref": "../../../lib/wrf_constants.esm"
    },
    "par": {
      "ref": "./rrtm_parameters.esm"
    }
  },
  "expression_template_imports": [
    {
      "ref": "./rrtm_spectral_tables.esm"
    },
    {
      "ref": "${ESD_ROOT}/grids/column_nonuniform_1d/grid.esm",
      "bindings": {
        "NLEV": {
          "op": "+",
          "args": [
            "NLEV",
            "NBUF"
          ]
        }
      },
      "rename": {
        "lev": "rlay",
        "lev_nodes": "rlev"
      }
    },
    {
      "ref": "${ESD_ROOT}/grids/column_nonuniform_1d/rules/face_flux_D_lev_supplied_faces.esm",
      "bindings": {
        "NLEV": {
          "op": "+",
          "args": [
            "NLEV",
            "NBUF"
          ]
        }
      },
      "rename": {
        "lev": "rlay",
        "lev_nodes": "rlev"
      }
    },
    {
      "ref": "./rrtm_flux_diagnostics.esm",
      "bindings": {
        "NLEV": "NLEV"
      }
    }
  ],
  "expression_templates": {
    "table_optical_depth": {
      "params": [
        "itr",
        "n_table",
        "bpade",
        "tau_saturated"
      ],
      "description": "The optical depth RTRN actually uses: the TAU table entry at the GASABS index ITR = INT(5000 TFF + 0.5), TAU(ITR) = BPADE (ITR/5000)/(1 - ITR/5000), i.e. the Pade transition fraction quantised to 1/5000 and inverted; the last entry is the saturated value 1e10 (RRTMINIT loop 1000).",
      "body": {
        "op": "ifelse",
        "args": [
          {
            "op": ">=",
            "args": [
              "itr",
              "n_table"
            ]
          },
          "tau_saturated",
          {
            "op": "/",
            "args": [
              {
                "op": "*",
                "args": [
                  "bpade",
                  {
                    "op": "/",
                    "args": [
                      "itr",
                      "n_table"
                    ]
                  }
                ]
              },
              {
                "op": "-",
                "args": [
                  1.0,
                  {
                    "op": "/",
                    "args": [
                      "itr",
                      "n_table"
                    ]
                  }
                ]
              }
            ]
          }
        ]
      }
    },
    "tau_transition": {
      "params": [
        "tau",
        "trans",
        "threshold"
      ],
      "description": "RRTM's tau-transition function TF (linear-in-tau Planck weighting of the layer source): tau/6 for tau below the threshold, else 1 - 2 (1/tau - e^-tau/(1 - e^-tau)) (RRTMINIT loop 1000, written as the closed form rather than the 5001-entry table). The inactive large-tau branch is evaluated at max(tau, threshold) so that it is finite for tau = 0.",
      "body": {
        "op": "ifelse",
        "args": [
          {
            "op": "<",
            "args": [
              "tau",
              "threshold"
            ]
          },
          {
            "op": "/",
            "args": [
              "tau",
              6.0
            ]
          },
          {
            "op": "-",
            "args": [
              1.0,
              {
                "op": "*",
                "args": [
                  2.0,
                  {
                    "op": "-",
                    "args": [
                      {
                        "op": "/",
                        "args": [
                          1.0,
                          {
                            "op": "max",
                            "args": [
                              "tau",
                              "threshold"
                            ]
                          }
                        ]
                      },
                      {
                        "op": "/",
                        "args": [
                          "trans",
                          {
                            "op": "-",
                            "args": [
                              1.0,
                              "trans"
                            ]
                          }
                        ]
                      }
                    ]
                  }
                ]
              }
            ]
          }
        ]
      }
    },
    "planck_band_integral": {
      "params": [
        "T",
        "b",
        "totplnk",
        "delwave",
        "kelvin"
      ],
      "description": "Band-integrated Planck emission at temperature T (RTRN: DELWAVE(IBAND) (TOTPLNK(IND, IBAND) + FRAC (TOTPLNK(IND+1, IBAND) - TOTPLNK(IND, IBAND))) with IND = INT(T - 159) and FRAC = T - INT(T)): linear interpolation of the TOTPLNK table on its 1 K nodes, times the band width in cm^-1. T is divided by one kelvin so that the table index and the fraction are dimensionless.",
      "body": {
        "op": "*",
        "args": [
          {
            "op": "index",
            "args": [
              "delwave",
              "b"
            ]
          },
          {
            "op": "+",
            "args": [
              {
                "op": "index",
                "args": [
                  "totplnk",
                  {
                    "op": "-",
                    "args": [
                      {
                        "op": "floor",
                        "args": [
                          {
                            "op": "/",
                            "args": [
                              "T",
                              "kelvin"
                            ]
                          }
                        ]
                      },
                      "PLANCK_T0"
                    ]
                  },
                  "b"
                ]
              },
              {
                "op": "*",
                "args": [
                  {
                    "op": "-",
                    "args": [
                      {
                        "op": "/",
                        "args": [
                          "T",
                          "kelvin"
                        ]
                      },
                      {
                        "op": "floor",
                        "args": [
                          {
                            "op": "/",
                            "args": [
                              "T",
                              "kelvin"
                            ]
                          }
                        ]
                      }
                    ]
                  },
                  {
                    "op": "-",
                    "args": [
                      {
                        "op": "index",
                        "args": [
                          "totplnk",
                          {
                            "op": "+",
                            "args": [
                              {
                                "op": "-",
                                "args": [
                                  {
                                    "op": "floor",
                                    "args": [
                                      {
                                        "op": "/",
                                        "args": [
                                          "T",
                                          "kelvin"
                                        ]
                                      }
                                    ]
                                  },
                                  "PLANCK_T0"
                                ]
                              },
                              1
                            ]
                          },
                          "b"
                        ]
                      },
                      {
                        "op": "index",
                        "args": [
                          "totplnk",
                          {
                            "op": "-",
                            "args": [
                              {
                                "op": "floor",
                                "args": [
                                  {
                                    "op": "/",
                                    "args": [
                                      "T",
                                      "kelvin"
                                    ]
                                  }
                                ]
                              },
                              "PLANCK_T0"
                            ]
                          },
                          "b"
                        ]
                      }
                    ]
                  }
                ]
              }
            ]
          }
        ]
      }
    },
    "band_value_at_gpoint": {
      "params": [
        "field",
        "ngb",
        "g",
        "l"
      ],
      "description": "The value of a per-band level/layer field at the band NGB(g) of g-point g (RTRN's PLVL(NGB(IPR), LEV)), read by indexing the field with the g-point's band.",
      "body": {
        "op": "index",
        "args": [
          "field",
          {
            "op": "index",
            "args": [
              "ngb",
              "g"
            ]
          },
          "l"
        ]
      }
    },
    "band_scalar_at_gpoint": {
      "params": [
        "field",
        "ngb",
        "g"
      ],
      "description": "The value of a per-band scalar field (SEMISS, PLANKBND) at the band of g-point g.",
      "body": {
        "op": "index",
        "args": [
          "field",
          {
            "op": "index",
            "args": [
              "ngb",
              "g"
            ]
          }
        ]
      }
    },
    "clear_layer_transfer": {
      "params": [
        "incoming",
        "source",
        "absorptance"
      ],
      "description": "Radiance leaving a clear layer: the incoming radiance relaxed towards the layer's linear-in-tau Planck source by the gas absorptance 1 - e^-tau (RTRN loops 2100/4100).",
      "body": {
        "op": "+",
        "args": [
          "incoming",
          {
            "op": "*",
            "args": [
              {
                "op": "-",
                "args": [
                  "source",
                  "incoming"
                ]
              },
              "absorptance"
            ]
          }
        ]
      }
    },
    "cloudy_layer_transfer": {
      "params": [
        "incoming",
        "gas_source",
        "total_source",
        "absorptance",
        "atot",
        "efclfrac",
        "cldfrac"
      ],
      "description": "Radiance leaving a partly cloudy layer (RTRN loops 2000/4000): the incoming radiance is depleted by the gas absorptance plus the cloud absorptance of the cloudy fraction, the clear part emits the gas source with the gas absorptance and the cloudy fraction emits the Pade-weighted total source with the combined gas+cloud absorptance atot.",
      "body": {
        "op": "+",
        "args": [
          {
            "op": "-",
            "args": [
              "incoming",
              {
                "op": "*",
                "args": [
                  "incoming",
                  {
                    "op": "+",
                    "args": [
                      "absorptance",
                      {
                        "op": "*",
                        "args": [
                          "efclfrac",
                          {
                            "op": "-",
                            "args": [
                              1.0,
                              "absorptance"
                            ]
                          }
                        ]
                      }
                    ]
                  }
                ]
              }
            ]
          },
          {
            "op": "*",
            "args": [
              "gas_source",
              "absorptance"
            ]
          },
          {
            "op": "*",
            "args": [
              "cldfrac",
              {
                "op": "-",
                "args": [
                  {
                    "op": "*",
                    "args": [
                      "total_source",
                      "atot"
                    ]
                  },
                  {
                    "op": "*",
                    "args": [
                      "gas_source",
                      "absorptance"
                    ]
                  }
                ]
              }
            ]
          }
        ]
      }
    }
  },
  "variables": {
    "tavel_in": {
      "type": "parameter",
      "units": "K",
      "shape": [
        "rlay"
      ],
      "default": 250.0,
      "description": "Coupling target (assembly input path): a shaped parameter that receives `tavel` from the upstream component through a document-level `coupling.variable_map` (`param_to_var`) when the assembly's mount-edge template library lowers `input_tavel` to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, `input_tavel` is lowered to a dumped column by the test's library and this parameter is unused (default 0)."
    },
    "tz_in": {
      "type": "parameter",
      "units": "K",
      "shape": [
        "rlev"
      ],
      "default": 250.0,
      "description": "Coupling target (assembly input path): a shaped parameter that receives `tz` from the upstream component through a document-level `coupling.variable_map` (`param_to_var`) when the assembly's mount-edge template library lowers `input_tz` to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, `input_tz` is lowered to a dumped column by the test's library and this parameter is unused (default 0)."
    },
    "pz_in": {
      "type": "parameter",
      "units": "hPa",
      "shape": [
        "rlev"
      ],
      "default": 0.0,
      "description": "Coupling target (assembly input path): a shaped parameter that receives `pz` from the upstream component through a document-level `coupling.variable_map` (`param_to_var`) when the assembly's mount-edge template library lowers `input_pz` to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, `input_pz` is lowered to a dumped column by the test's library and this parameter is unused (default 0)."
    },
    "cldfrac_in": {
      "type": "parameter",
      "units": "1",
      "shape": [
        "rlay"
      ],
      "default": 0.0,
      "description": "Coupling target (assembly input path): a shaped parameter that receives `cldfrac` from the upstream component through a document-level `coupling.variable_map` (`param_to_var`) when the assembly's mount-edge template library lowers `input_cldfrac` to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, `input_cldfrac` is lowered to a dumped column by the test's library and this parameter is unused (default 0)."
    },
    "taucloud_in": {
      "type": "parameter",
      "units": "1",
      "shape": [
        "rlay"
      ],
      "default": 0.0,
      "description": "Coupling target (assembly input path): a shaped parameter that receives `taucloud` from the upstream component through a document-level `coupling.variable_map` (`param_to_var`) when the assembly's mount-edge template library lowers `input_taucloud` to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, `input_taucloud` is lowered to a dumped column by the test's library and this parameter is unused (default 0)."
    },
    "semiss_in": {
      "type": "parameter",
      "units": "1",
      "shape": [
        "bands"
      ],
      "default": 0.0,
      "description": "Coupling target (assembly input path): a shaped parameter that receives `semiss` from the upstream component through a document-level `coupling.variable_map` (`param_to_var`) when the assembly's mount-edge template library lowers `input_semiss` to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, `input_semiss` is lowered to a dumped column by the test's library and this parameter is unused (default 0)."
    },
    "pfrac_flat_in": {
      "type": "parameter",
      "units": "1",
      "shape": [
        "gl"
      ],
      "default": 0.0,
      "description": "Coupling target (assembly input path): a shaped parameter that receives `pfrac_flat` from the upstream component through a document-level `coupling.variable_map` (`param_to_var`) when the assembly's mount-edge template library lowers `input_pfrac_flat` to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, `input_pfrac_flat` is lowered to a dumped column by the test's library and this parameter is unused (default 0)."
    },
    "itr_flat_in": {
      "type": "parameter",
      "units": "1",
      "shape": [
        "gl"
      ],
      "default": 0.0,
      "description": "Coupling target (assembly input path): a shaped parameter that receives `itr_flat` from the upstream component through a document-level `coupling.variable_map` (`param_to_var`) when the assembly's mount-edge template library lowers `input_itr_flat` to this parameter (see EqWeFiC couplings/rrtm_lw_column.esm). Standalone, `input_itr_flat` is lowered to a dumped column by the test's library and this parameter is unused (default 0)."
    },
    "tavel": {
      "type": "unknown",
      "units": "K",
      "shape": [
        "rlay"
      ],
      "description": "RRTM layer temperatures TAVEL (extended column, layer 1 lowest)."
    },
    "tz": {
      "type": "unknown",
      "units": "K",
      "shape": [
        "rlev"
      ],
      "description": "RRTM level temperatures TZ(0:NLAYERS); level 1 is the surface."
    },
    "pz": {
      "type": "unknown",
      "units": "hPa",
      "shape": [
        "rlev"
      ],
      "description": "RRTM level pressures PZ(0:NLAYERS) in hPa."
    },
    "ze": {
      "type": "unknown",
      "units": "hPa",
      "shape": [
        "rlev"
      ],
      "description": "Pressure distance above the surface of each RRTM level, pz[1] - pz (hPa, increasing upward): the interface coordinate of the EarthSciDiscretizations column_nonuniform_1d grid this component imports on the extended RRTM column (lev -> rlay, lev_nodes -> rlev, NLEV + NBUF layers), so that D(F, wrt: rlay) lowers to (F[l+1] - F[l]) / (pz[l] - pz[l+1])."
    },
    "dz": {
      "type": "unknown",
      "units": "hPa",
      "shape": [
        "rlay"
      ],
      "description": "RRTM layer pressure thickness pz[l] - pz[l+1] (hPa), the grid's layer measure (column_cell_thickness of ze) that the face-flux divergence rule divides by."
    },
    "cldfrac": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "rlay"
      ],
      "description": "Layer cloud fraction CLDFRAC (0 or 1 with WRF's icloud = 1 overcast forcing)."
    },
    "taucloud": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "rlay"
      ],
      "description": "Layer cloud optical depth TAUCLOUD (MM5ATM)."
    },
    "semiss": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "bands"
      ],
      "description": "Surface emissivity per band SEMISS."
    },
    "tbound": {
      "type": "parameter",
      "units": "K",
      "default": 288.0,
      "description": "Surface (skin) temperature TBOUND."
    },
    "pfrac_flat": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "gl"
      ],
      "description": "GASABS Planck fractions PFRAC(NGPT, NLAYERS) flattened g-point fastest: element (l-1) NGPT + g is PFRAC(g, l)."
    },
    "itr_flat": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "gl"
      ],
      "description": "GASABS table indices ITR(NGPT, NLAYERS) flattened g-point fastest (integers 0..5000 carried as reals)."
    },
    "pfrac": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Planck fraction of each g-point in each layer (PFRAC)."
    },
    "itr": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Quantised transition-fraction index of each g-point and layer (ITR)."
    },
    "ngb": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "gpts"
      ],
      "description": "Band of each g-point (RRTM NGB)."
    },
    "delwave": {
      "type": "unknown",
      "units": "1/cm",
      "shape": [
        "bands"
      ],
      "description": "Band widths in wavenumber (RRTM DELWAVE)."
    },
    "totplnk": {
      "type": "unknown",
      "units": "W*cm/m^2",
      "shape": [
        "tnodes",
        "bands"
      ],
      "description": "Band-integrated Planck function per unit wavenumber at T = PLANCK_T0 + i (RRTM TOTPLNK table, in the units that make DELWAVE TOTPLNK x WTNUM FLUXFAC a flux in W/m^2). Spelled as an aggregate over the const table rather than the bare const: the Rust CLI folds a gather from a bare const array at interpreter-build time, before document-level couplings are applied, so with the temperatures coupled in (EqWeFiC couplings/rrtm_lw_column.esm) the fold saw T = 0 and failed with E_TREEWALK_CONSTARRAY_OOB."
    },
    "tau_gas": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Diffusivity-weighted gas optical depth as RTRN uses it: the TAU table entry at ITR (ODCLR)."
    },
    "trans_gas": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Gas transmittance e^-tau (TRANS(ITR))."
    },
    "abss": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Gas absorptance 1 - TRANS(ITR) (ABSS)."
    },
    "tf": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Tau-transition function TF(ITR) weighting the layer source between the layer-mean and the level Planck emissions."
    },
    "icld": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "rlay"
      ],
      "description": "Cloud indicator ICLDLYR: 1 where CLDFRAC > 0."
    },
    "odcld": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "rlay"
      ],
      "description": "Diffusivity-weighted cloud optical depth SECANG TAUCLOUD (ODCLD)."
    },
    "abscld": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "rlay"
      ],
      "description": "Cloud absorptance 1 - e^-ODCLD (ABSCLD)."
    },
    "efclfrac": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "rlay"
      ],
      "description": "Effective cloud fraction ABSCLD CLDFRAC (EFCLFRAC)."
    },
    "atot": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Combined gas + cloud absorptance ABSS + ABSCLD - ABSS ABSCLD (ATOT)."
    },
    "factot": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Pade transition fraction of the total (gas + cloud) optical depth, ODSM/(BPADE + ODSM) (FACTOT), the source weight used in cloudy layers."
    },
    "plvl": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "bands",
        "rlev"
      ],
      "description": "Band Planck integral at the level temperatures (PLVL(IBAND, 0:NLAYERS))."
    },
    "play": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "bands",
        "rlay"
      ],
      "description": "Band Planck integral at the layer temperatures (PLAY)."
    },
    "plankbnd": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "bands"
      ],
      "description": "Band Planck integral at the surface temperature (PLANKBND)."
    },
    "plvl_sfc": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "bands"
      ],
      "description": "PLVL at the surface level (rank-1 view for the tests)."
    },
    "plvl_toa": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "bands"
      ],
      "description": "PLVL at the top of the RRTM column (rank-1 view for the tests)."
    },
    "play_bot": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "bands"
      ],
      "description": "PLAY in the lowest layer (rank-1 view for the tests)."
    },
    "bglay": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Layer Planck source of each g-point PFRAC PLAY(NGB) (BGLAY)."
    },
    "bglev_up": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Planck emission at a layer's upper level as RTRN uses it: PLVL(NGB, LEV) weighted by the Planck fraction of the layer ABOVE (RTRN carries BGLEV from the previous downward iteration, so layer LEV's upper source uses PFRAC(LEV+1); the top layer uses its own)."
    },
    "bglev_dn": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Planck emission at a layer's lower level, PFRAC(LEV) PLVL(NGB, LEV-1)."
    },
    "bbu": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Upward gas source BGLAY + TF (BGLEV_up - BGLAY) (BBU)."
    },
    "bbutot": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Upward total (gas + cloud) source BGLAY + FACTOT (BGLEV_up - BGLAY) (BBUTOT)."
    },
    "bbd": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Downward gas source BGLAY + TF (BGLEV_dn - BGLAY) (BBD)."
    },
    "bbdlevd": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlay"
      ],
      "description": "Downward total source BGLAY + FACTOT (BGLEV_dn - BGLAY) (BBDLEVD)."
    },
    "semis_g": {
      "type": "unknown",
      "units": "1",
      "shape": [
        "gpts"
      ],
      "description": "Surface emissivity at the band of each g-point (SEMIS)."
    },
    "raduemit": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts"
      ],
      "description": "Surface emission per g-point PFRAC(g, 1) SEMISS PLANKBND (RADUEMIT)."
    },
    "rad_dn_top": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlev"
      ],
      "description": "Downward radiance per g-point on the TOP-COUNTED level index m (m = 1 is the top of the RRTM column, m = NLAYERS + 1 the surface): the recurrence RADLD of RTRN loop 3000, zero at the top and propagated down through layer NLAYERS + 2 - m."
    },
    "rad_dn": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlev"
      ],
      "description": "Downward radiance per g-point at each level, surface first (RADLD reordered)."
    },
    "rad_dn_clr_top": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlev"
      ],
      "description": "Clear-sky downward radiance on the top-counted index (RADCLRD): the clear-layer transfer applied in every layer. RTRN copies RADLD into RADCLRD until the first cloudy layer is met (ICLDDN), which equals this recurrence exactly because above the first cloud the two are identical."
    },
    "rad_dn_clr": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlev"
      ],
      "description": "Clear-sky downward radiance per g-point, surface first."
    },
    "rad_up": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlev"
      ],
      "description": "Upward radiance per g-point (RADLU): surface emission plus reflected downward radiance at level 1, then the layer transfers upward (RTRN loop 5000)."
    },
    "rad_up_clr": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "gpts",
        "rlev"
      ],
      "description": "Clear-sky upward radiance per g-point (RADCLRU)."
    },
    "F_dn": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "rlev"
      ],
      "description": "Downward longwave flux at the RRTM levels, WTNUM FLUXFAC sum over g-points (TOTDFLUX)."
    },
    "F_up": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "rlev"
      ],
      "description": "Upward longwave flux (TOTUFLUX)."
    },
    "F_dn_clr": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "rlev"
      ],
      "description": "Clear-sky downward flux (TOTDCLFL)."
    },
    "F_up_clr": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "rlev"
      ],
      "description": "Clear-sky upward flux (TOTUCLFL)."
    },
    "F_dn_band_sfc": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "bands"
      ],
      "description": "Per-band downward flux at the surface (sum over the band's g-points)."
    },
    "F_up_band_sfc": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "bands"
      ],
      "description": "Per-band upward flux at the surface (sum over the band's g-points)."
    },
    "F_up_band_toa": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "bands"
      ],
      "description": "Per-band upward flux at the top of the RRTM column (sum over the band's g-points)."
    },
    "F_dn_band_mtop": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "bands"
      ],
      "description": "Per-band downward flux at the model top (level NLEV + 1; sum over the band's g-points)."
    },
    "F_net": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "rlev"
      ],
      "description": "Net upward flux F_up - F_dn (FNET)."
    },
    "F_net_clr": {
      "type": "unknown",
      "units": "W/m^2",
      "shape": [
        "rlev"
      ],
      "description": "Clear-sky net upward flux (FNETC)."
    },
    "htr": {
      "type": "unknown",
      "units": "K/day",
      "shape": [
        "rlay"
      ],
      "description": "RRTM heating rate of each layer of the extended column, -HEATFAC dF_net/ds with s = ze the pressure distance above the surface, lowered by the EarthSciDiscretizations face_flux_D_lev_supplied_faces rule to HEATFAC (FNET(L-1) - FNET(L))/(PZ(L-1) - PZ(L)) (RTRN loop 7000: HTR(L-1) is layer L; K/day). The same rule gives rrtm_lw_heating.esm its dTdt on the model layers."
    },
    "htrc": {
      "type": "unknown",
      "units": "K/day",
      "shape": [
        "rlay"
      ],
      "description": "Clear-sky heating rate (HTRC), the htr divergence applied to the clear-sky net flux."
    },
    "glw": {
      "type": "unknown",
      "units": "W/m^2",
      "description": "Downward longwave flux at the surface, TOTDFLUX(0) (WRF GLW; template wrf_glw of rrtm_flux_diagnostics.esm, shared with rrtm_lw_heating.esm)."
    },
    "olr": {
      "type": "unknown",
      "units": "W/m^2",
      "description": "Upward flux at the MODEL top, TOTUFLUX(kte) -- WRF's OLR (EqWeFiC FORTRAN_BUGS.md N14; template wrf_olr of rrtm_flux_diagnostics.esm, shared with rrtm_lw_heating.esm)."
    },
    "olr_toa": {
      "type": "unknown",
      "units": "W/m^2",
      "description": "Upward flux at the top of the extended RRTM column, TOTUFLUX(NLAYERS)."
    }
  },
  "equations": [
    {
      "lhs": "tavel",
      "rhs": {
        "op": "input_tavel",
        "args": []
      }
    },
    {
      "lhs": "tz",
      "rhs": {
        "op": "input_tz",
        "args": []
      }
    },
    {
      "lhs": "pz",
      "rhs": {
        "op": "input_pz",
        "args": []
      }
    },
    {
      "lhs": "ze",
      "rhs": {
        "op": "aggregate",
        "output_idx": [
          "kn"
        ],
        "args": [
          "pz"
        ],
        "ranges": {
          "kn": {
            "from": "rlev"
          }
        },
        "expr": {
          "op": "-",
          "args": [
            {
              "op": "index",
              "args": [
                "pz",
                1
              ]
            },
            {
              "op": "index",
              "args": [
                "pz",
                "kn"
              ]
            }
          ]
        }
      }
    },
    {
      "lhs": "dz",
      "rhs": {
        "op": "apply_expression_template",
        "args": [],
        "name": "column_cell_thickness",
        "bindings": {
          "ze": "ze"
        }
      }
    },
    {
      "lhs": "cldfrac",
      "rhs": {
        "op": "input_cldfrac",
        "args": []
      }
    },
    {
      "lhs": "taucloud",
      "rhs": {
        "op": "input_taucloud",
        "args": []
      }
    },
    {
      "lhs": "semiss",
      "rhs": {
        "op": "input_semiss",
        "args": []
      }
    },
    {
      "lhs": "pfrac_flat",
      "rhs": {
        "op": "input_pfrac_flat",
        "args": []
      }
    },
    {
      "lhs": "itr_flat",
      "rhs": {
        "op": "input_itr_flat",
        "args": []
      }
    },
    {
      "lhs": "ngb",
      "rhs": {
        "op": "apply_expression_template",
        "args": [],
        "name": "rrtm_gpoint_band",
        "bindings": {}
      }
    },
    {
      "lhs": "delwave",
      "rhs": {
        "op": "apply_expression_template",
        "args": [],
        "name": "rrtm_delwave",
        "bindings": {}
      }
    },
    {
      "lhs": "totplnk",
      "rhs": {
        "op": "aggregate",
        "output_idx": [
          "i",
          "b"
        ],
        "args": [],
        "ranges": {
          "i": {
            "from": "tnodes"
          },
          "b": {
            "from": "bands"
          }
        },
        "expr": {
          "op": "index",
          "args": [
            {
              "op": "apply_expression_template",
              "args": [],
              "name": "rrtm_totplnk",
              "bindings": {}
            },
            "i",
            "b"
          ]
        }
      }
    },
    {
      "lhs": "pfrac",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "g",
          "l"
        ],
        "ranges": {
          "g": {
            "from": "gpts"
          },
          "l": {
            "from": "rlay"
          }
        },
        "expr": {
          "op": "index",
          "args": [
            "pfrac_flat",
            {
              "op": "+",
              "args": [
                {
                  "op": "*",
                  "args": [
                    {
                      "op": "-",
                      "args": [
                        "l",
                        1
                      ]
                    },
                    "NGPT"
                  ]
                },
                "g"
              ]
            }
          ]
        }
      }
    },
    {
      "lhs": "itr",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "g",
          "l"
        ],
        "ranges": {
          "g": {
            "from": "gpts"
          },
          "l": {
            "from": "rlay"
          }
        },
        "expr": {
          "op": "index",
          "args": [
            "itr_flat",
            {
              "op": "+",
              "args": [
                {
                  "op": "*",
                  "args": [
                    {
                      "op": "-",
                      "args": [
                        "l",
                        1
                      ]
                    },
                    "NGPT"
                  ]
                },
                "g"
              ]
            }
          ]
        }
      }
    },
    {
      "lhs": "tau_gas",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "g",
          "l"
        ],
        "ranges": {
          "g": {
            "from": "gpts"
          },
          "l": {
            "from": "rlay"
          }
        },
        "expr": {
          "op": "apply_expression_template",
          "args": [],
          "name": "table_optical_depth",
          "bindings": {
            "itr": {
              "op": "index",
              "args": [
                "itr",
                "g",
                "l"
              ]
            },
            "n_table": "par.tau_table_resolution",
            "bpade": "par.bpade",
            "tau_saturated": "par.tau_saturated"
          }
        }
      }
    },
    {
      "lhs": "trans_gas",
      "rhs": {
        "op": "exp",
        "args": [
          {
            "op": "-",
            "args": [
              "tau_gas"
            ]
          }
        ]
      }
    },
    {
      "lhs": "abss",
      "rhs": {
        "op": "-",
        "args": [
          1.0,
          "trans_gas"
        ]
      }
    },
    {
      "lhs": "tf",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "g",
          "l"
        ],
        "ranges": {
          "g": {
            "from": "gpts"
          },
          "l": {
            "from": "rlay"
          }
        },
        "expr": {
          "op": "apply_expression_template",
          "args": [],
          "name": "tau_transition",
          "bindings": {
            "tau": {
              "op": "index",
              "args": [
                "tau_gas",
                "g",
                "l"
              ]
            },
            "trans": {
              "op": "index",
              "args": [
                "trans_gas",
                "g",
                "l"
              ]
            },
            "threshold": "par.tf_linear_threshold"
          }
        }
      }
    },
    {
      "lhs": "icld",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "l"
        ],
        "ranges": {
          "l": {
            "from": "rlay"
          }
        },
        "expr": {
          "op": "ifelse",
          "args": [
            {
              "op": ">",
              "args": [
                {
                  "op": "index",
                  "args": [
                    "cldfrac",
                    "l"
                  ]
                },
                0.0
              ]
            },
            1.0,
            0.0
          ]
        }
      }
    },
    {
      "lhs": "odcld",
      "rhs": {
        "op": "*",
        "args": [
          "par.secang",
          "taucloud"
        ]
      }
    },
    {
      "lhs": "abscld",
      "rhs": {
        "op": "-",
        "args": [
          1.0,
          {
            "op": "exp",
            "args": [
              {
                "op": "-",
                "args": [
                  "odcld"
                ]
              }
            ]
          }
        ]
      }
    },
    {
      "lhs": "efclfrac",
      "rhs": {
        "op": "*",
        "args": [
          "abscld",
          "cldfrac"
        ]
      }
    },
    {
      "lhs": "atot",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "g",
          "l"
        ],
        "ranges": {
          "g": {
            "from": "gpts"
          },
          "l": {
            "from": "rlay"
          }
        },
        "expr": {
          "op": "-",
          "args": [
            {
              "op": "+",
              "args": [
                {
                  "op": "index",
                  "args": [
                    "abss",
                    "g",
                    "l"
                  ]
                },
                {
                  "op": "index",
                  "args": [
                    "abscld",
                    "l"
                  ]
                }
              ]
            },
            {
              "op": "*",
              "args": [
                {
                  "op": "index",
                  "args": [
                    "abss",
                    "g",
                    "l"
                  ]
                },
                {
                  "op": "index",
                  "args": [
                    "abscld",
                    "l"
                  ]
                }
              ]
            }
          ]
        }
      }
    },
    {
      "lhs": "factot",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "g",
          "l"
        ],
        "ranges": {
          "g": {
            "from": "gpts"
          },
          "l": {
            "from": "rlay"
          }
        },
        "expr": {
          "op": "/",
          "args": [
            {
              "op": "+",
              "args": [
                {
                  "op": "index",
                  "args": [
                    "tau_gas",
                    "g",
                    "l"
                  ]
                },
                {
                  "op": "index",
                  "args": [
                    "odcld",
                    "l"
                  ]
                }
              ]
            },
            {
              "op": "+",
              "args": [
                "par.bpade",
                {
                  "op": "index",
                  "args": [
                    "tau_gas",
                    "g",
                    "l"
                  ]
                },
                {
                  "op": "index",
                  "args": [
                    "odcld",
                    "l"
                  ]
                }
              ]
            }
          ]
        }
      }
    },
    {
      "lhs": "plvl",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "b",
          "l"
        ],
        "ranges": {
          "b": {
            "from": "bands"
          },
          "l": {
            "from": "rlev"
          }
        },
        "expr": {
          "op": "apply_expression_template",
          "args": [],
          "name": "planck_band_integral",
          "bindings": {
            "T": {
              "op": "index",
              "args": [
                "tz",
                "l"
              ]
            },
            "b": "b",
            "totplnk": "totplnk",
            "delwave": "delwave",
            "kelvin": "par.unit_kelvin"
          }
        }
      }
    },
    {
      "lhs": "play",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "b",
          "l"
        ],
        "ranges": {
          "b": {
            "from": "bands"
          },
          "l": {
            "from": "rlay"
          }
        },
        "expr": {
          "op": "apply_expression_template",
          "args": [],
          "name": "planck_band_integral",
          "bindings": {
            "T": {
              "op": "index",
              "args": [
                "tavel",
                "l"
              ]
            },
            "b": "b",
            "totplnk": "totplnk",
            "delwave": "delwave",
            "kelvin": "par.unit_kelvin"
          }
        }
      }
    },
    {
      "lhs": "plankbnd",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "b"
        ],
        "ranges": {
          "b": {
            "from": "bands"
          }
        },
        "expr": {
          "op": "apply_expression_template",
          "args": [],
          "name": "planck_band_integral",
          "bindings": {
            "T": "tbound",
            "b": "b",
            "totplnk": "totplnk",
            "delwave": "delwave",
            "kelvin": "par.unit_kelvin"
          }
        }
      }
    },
    {
      "lhs": "plvl_sfc",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "b"
        ],
        "ranges": {
          "b": {
            "from": "bands"
          }
        },
        "expr": {
          "op": "index",
          "args": [
            "plvl",
            "b",
            1
          ]
        }
      }
    },
    {
      "lhs": "plvl_toa",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "b"
        ],
        "ranges": {
          "b": {
            "from": "bands"
          }
        },
        "expr": {
          "op": "index",
          "args": [
            "plvl",
            "b",
            {
              "op": "+",
              "args": [
                "NLEV",
                "NBUF",
                1
              ]
            }
          ]
        }
      }
    },
    {
      "lhs": "play_bot",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "b"
        ],
        "ranges": {
          "b": {
            "from": "bands"
          }
        },
        "expr": {
          "op": "index",
          "args": [
            "play",
            "b",
            1
          ]
        }
      }
    },
    {
      "lhs": "bglay",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "g",
          "l"
        ],
        "ranges": {
          "g": {
            "from": "gpts"
          },
          "l": {
            "from": "rlay"
          }
        },
        "expr": {
          "op": "*",
          "args": [
            {
              "op": "index",
              "args": [
                "pfrac",
                "g",
                "l"
              ]
            },
            {
              "op": "apply_expression_template",
              "args": [],
              "name": "band_value_at_gpoint",
              "bindings": {
                "field": "play",
                "ngb": "ngb",
                "g": "g",
                "l": "l"
              }
            }
          ]
        }
      }
    },
    {
      "lhs": "bglev_up",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "g",
          "l"
        ],
        "ranges": {
          "g": {
            "from": "gpts"
          },
          "l": {
            "from": "rlay"
          }
        },
        "expr": {
          "op": "*",
          "args": [
            {
              "op": "index",
              "args": [
                "pfrac",
                "g",
                {
                  "op": "min",
                  "args": [
                    {
                      "op": "+",
                      "args": [
                        "l",
                        1
                      ]
                    },
                    {
                      "op": "+",
                      "args": [
                        "NLEV",
                        "NBUF"
                      ]
                    }
                  ]
                }
              ]
            },
            {
              "op": "apply_expression_template",
              "args": [],
              "name": "band_value_at_gpoint",
              "bindings": {
                "field": "plvl",
                "ngb": "ngb",
                "g": "g",
                "l": {
                  "op": "+",
                  "args": [
                    "l",
                    1
                  ]
                }
              }
            }
          ]
        }
      }
    },
    {
      "lhs": "bglev_dn",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "g",
          "l"
        ],
        "ranges": {
          "g": {
            "from": "gpts"
          },
          "l": {
            "from": "rlay"
          }
        },
        "expr": {
          "op": "*",
          "args": [
            {
              "op": "index",
              "args": [
                "pfrac",
                "g",
                "l"
              ]
            },
            {
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            "par.fluxfac",
            {
              "op": "index",
              "args": [
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                "g",
                "l"
              ]
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          ]
        }
      }
    },
    {
      "lhs": "F_up_clr",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "l"
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        "ranges": {
          "l": {
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          "g": {
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        "expr": {
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            {
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              "args": [
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                "g",
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          ]
        }
      }
    },
    {
      "lhs": "F_dn_band_sfc",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "b"
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        "ranges": {
          "b": {
            "from": "bands"
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          "g": {
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        "expr": {
          "op": "*",
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              "op": "ifelse",
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                  "op": "==",
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                      "op": "index",
                      "args": [
                        "ngb",
                        "g"
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                    "b"
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                1.0,
                0.0
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            "par.wtnum",
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            {
              "op": "index",
              "args": [
                "rad_dn",
                "g",
                1
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      }
    },
    {
      "lhs": "F_up_band_sfc",
      "rhs": {
        "op": "aggregate",
        "args": [],
        "output_idx": [
          "b"
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        "ranges": {
          "b": {
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          "g": {
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            "par.wtnum",
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            {
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    {
      "lhs": "F_up_band_toa",
      "rhs": {
        "op": "aggregate",
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        "output_idx": [
          "b"
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        "ranges": {
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      "lhs": "glw",
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        "name": "wrf_glw",
        "bindings": {
          "F_dn": "F_dn"
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      "lhs": "olr",
      "rhs": {
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        "name": "wrf_olr",
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      "parameter_overrides": {
        "tbound": 288.0
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      "expression_template_imports": [
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          "ref": "./tests/rtrn_scm_call1_evening_clear_inputs.esm"
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    {
      "id": "scm_call1440_predawn_cirrus",
      "description": "Reference: WRF 4.8 em_scm_xy single-column run (GNU real32 build, dt = 60 s, 59 layers, mp=6 ra_lw=1 ra_sw=1 sf_sfclay=1 sf_surface=1 bl_pbl=1, radt = 30 min) dumped by the instrumented fork ctessum-claude/WRF, commit 0e52608 (v4.8.0-4-g0e526083); module_esm_dump hooks inside SUBROUTINE RRTM after GASABS and inside RTRN of phys/module_ra_rrtm.F; dump scm_ref2_1440.json). RRTM has no standalone real64 driver, so every expected value is the real32 in-model value and the tolerance contract is rel 1e-5. Inputs are the dumped extended-column state (TAVEL, TZ, PZ, CLDFRAC, TAUCLOUD, SEMISS, TBOUND) and the GASABS outputs PFRAC and ITR (140 g-points x 103 layers, injected as flattened columns); the gas optics themselves are not transcribed. Expected values: the RTRN fluxes TOTUFLUX/TOTDFLUX and clear-sky TOTUCLFL/TOTDCLFL at every RRTM level, the per-band fluxes at the surface, model top and top of the column, the Planck integrals PLANKBND/PLVL/PLAY, and the heating rates HTR/HTRC (K/day). The scheme is diagnostic (no time step). Regime: call 1440, 07:00 UTC (00:34 LST), night; cloudy RRTM layers 55-59 (4 layers, cldfrac = 1, max taucloud 0.00109); tbound = 278.38 K, glw = 254.2 W/m^2, olr (model top) = 241.5 W/m^2, TOA upward flux 234.6 W/m^2. Tolerances: measured against a NumPy replica of RTRN the component's fluxes agree with the real32 dump to <= 1e-6 relative (2e-4 W/m^2), the band fluxes to 2e-5 W/m^2, the Planck integrals to 2e-10, and the heating rates to 4e-4 K/day (HTR is a difference of O(300 W/m^2) fluxes over O(6 hPa) layers carried in single precision, so its relative error is ~1e-4 of the column maximum); tolerances are set 3-5x above those floors: fluxes rel 1e-5 spot / Linf abs 1e-3 W/m^2, band fluxes Linf abs 1e-4, Planck Linf abs 1e-9, HTR/HTRC Linf abs 2e-3 K/day and spot checks rel 1e-4 at the three largest-|HTR| layers.",
      "parameter_overrides": {
        "tbound": 278.38031005859375
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      "expression_template_imports": [
        {
          "ref": "./tests/rtrn_scm_call1440_predawn_cirrus_inputs.esm"
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      "time_span": {
        "start": 0,
        "end": 1
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      "tolerance": {
        "rel": 1e-05
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      "assertions": [
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    {
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      "description": "Reference: WRF 4.8 em_scm_xy single-column run (GNU real32 build, dt = 60 s, 59 layers, mp=6 ra_lw=1 ra_sw=1 sf_sfclay=1 sf_surface=1 bl_pbl=1, radt = 30 min) dumped by the instrumented fork ctessum-claude/WRF, commit 592f693 (v4.8.0-5-g592f6931); module_esm_dump hooks inside SUBROUTINE RRTM after GASABS and inside RTRN of phys/module_ra_rrtm.F; dump scm_cloud_648.json, written by the same em_scm_xy run re-executed for 8 h with the cloudy calls added to ESM_DUMP_CALLS; the re-run reproduces the archived call 120 dump bit-for-bit, so it is the same trajectory). RRTM has no standalone real64 driver, so every expected value is the real32 in-model value and the tolerance contract is rel 1e-5. Inputs are the dumped extended-column state (TAVEL, TZ, PZ, CLDFRAC, TAUCLOUD, SEMISS, TBOUND) and the GASABS outputs PFRAC and ITR (140 g-points x 103 layers, injected as flattened columns); the gas optics themselves are not transcribed. Expected values: the RTRN fluxes TOTUFLUX/TOTDFLUX and clear-sky TOTUCLFL/TOTDCLFL at every RRTM level, the per-band fluxes at the surface, model top and top of the column, the Planck integrals PLANKBND/PLVL/PLAY, and the heating rates HTR/HTRC (K/day). The scheme is diagnostic (no time step). Regime: MULTI-LAYER OVERLAP. Call 648, 01:00 UTC (18:34 LST), thin residual cirrus: three adjacent fractional layers (53: CLDFRAC = 0.0698, TAUCLOUD = 0.00983; 54: 0.0194, 0.00160; 55: 0.0387, 0.00152) sandwiched between overcast layers (52: TAUCLOUD = 0.0237; 56: 0.00138; 57: 0.000387; 59: 6.5e-8), plus a layer with condensate but CLDFRAC = 0 (51, TAUCLOUD = 0.00314, which RTRN treats as clear because ICLDLYR = 0 when CLDFRAC = 0). The sweep therefore passes through clear, fractional and overcast layers in both directions and accumulates the clear-sky radiance from the first cloudy layer downward (ICLDDN, note N31). tbound = 281.17 K, glw = 262.7 W/m^2 against a clear-sky 261.4 W/m^2, olr (model top) = 242.4 W/m^2, TOA upward flux 235.5 W/m^2, HTR - HTRC = 0.099 K/day at layer 51 and 0.015 K/day in the fractional layer 53. Tolerances: measured against the real32 dump the component's flux columns agree to Linf 1.0e-4 (F_dn), 1.6e-4 (F_up), 8.9e-5 (F_dn_clr) and 1.9e-4 W/m^2 (F_up_clr) on fluxes up to 347 W/m^2 (4e-7 relative at the spot levels), the band fluxes to 1.5e-5 W/m^2, the Planck integrals to 1.1e-10, and HTR/HTRC to 2.8e-4 / 2.7e-4 K/day. As at call 240 the spot-checked heating rates are of order 1.3-1.8 K/day, so the flux noise is 5.3e-5 relative at layer 51 and the HTR spot tolerance is rel 2e-4. Everything else is the standard RTRN contract, 4-10x above the measured floors: fluxes rel 1e-5 spot / Linf abs 1e-3 W/m^2, band fluxes Linf abs 1e-4, Planck Linf abs 1e-9, HTR/HTRC Linf abs 2e-3 K/day.",
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        "tbound": 281.1648254394531
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      "expression_template_imports": [
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          "ref": "./tests/rtrn_scm_call648_fractional_overlap_inputs.esm"
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