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module_fr_sfire_phys.F
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module_fr_sfire_phys.F
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!
!*** Jan Mandel August-October 2007 email: jmandel@ucar.edu or Jan.Mandel@gmail.com
!
! This file contains parts copied and/or adapted from earlier codes by
! Terry Clark, Janice Coen, Don Latham, and Net Patton.
module module_fr_sfire_phys
use module_model_constants, only: cp,xlv
use module_fr_sfire_util
implicit none
PRIVATE
type fire_params
real,pointer,dimension(:,:):: vx,vy ! wind velocity (m/s)
real,pointer,dimension(:,:):: zsf ! terrain height (m)
real,pointer,dimension(:,:):: dzdxf,dzdyf ! terrain grad (1)
real,pointer,dimension(:,:):: bbb,phisc,phiwc,r_0 ! spread formula coefficients
real,pointer,dimension(:,:):: fgip ! init mass of surface fuel (kg/m^2)
real,pointer,dimension(:,:):: ischap ! 1 if chapparal
real,pointer,dimension(:,:):: fuel_time ! time to burn to 1/e (s)
real,pointer,dimension(:,:):: fmc_g ! fuel moisture contents, ground (1)
end type fire_params
! subroutines and functions
PUBLIC:: init_fuel_cats,fire_ros,heat_fluxes,set_nfuel_cat,set_fire_params, &
write_fuels_m,fire_risk,fire_intensity,fuel_moisture,advance_moisture
! types
public:: fire_params
! variables
PUBLIC:: fire_wind_height,fcz0,fcwh,have_fuel_cats,nfuelcats,no_fuel_cat,windrf,moisture_classes
! NOTE: fcwh and fcz0 are called fwh and fz0 in read/write statements
! moisture behavior, see Mandel et al EGU 2012
!! To add moisture classes:
! 1. change parameter max_moisture_classes below
! 2. change the default of nfmc to the same value in Registry/registry.fire
! 3. add the appropriate lines real::fmc_gw<number>= <default values>
! 4. add dfault
!*** dimensions
INTEGER, PARAMETER :: mfuelcats = 30 ! max number of fuel categories
integer, parameter::max_moisture_classes=5
!***
integer, parameter::zm=max_moisture_classes - 3
integer:: moisture_classes=3
real, dimension(max_moisture_classes):: drying_lag,wetting_lag,saturation_moisture,saturation_rain, &
rain_threshold,rec_drying_lag_sec,rec_wetting_lag_sec
integer, dimension(max_moisture_classes):: drying_model,wetting_model
! relative weights of moisture class for each fuel category
integer::itmp
CHARACTER (len=80), DIMENSION(max_moisture_classes), save :: moisture_class_name
real, dimension(mfuelcats):: & ! should sum up to one
fmc_gw01=(/ (1.0, itmp=1,mfuelcats) /), &
fmc_gw02=(/ (0.0, itmp=1,mfuelcats) /), &
fmc_gw03=(/ (0.0, itmp=1,mfuelcats) /), &
fmc_gw04=(/ (0.0, itmp=1,mfuelcats) /), &
fmc_gw05=(/ (0.0, itmp=1,mfuelcats) /)
data moisture_class_name /'1-hour fuel','10-hour fuel','100-hour fuel',zm*'NOT USED'/
data drying_lag /1., 10., 100. , zm*0./ ! time lag (h) approaching equilibrium moisture
data wetting_lag /14, 140., 1400., zm*0./ ! time lag (h) for approaching saturation in rain
data saturation_moisture /2.5, 2.5, 2.5 , zm*0./ ! saturation moisture contents (1) in rain
data saturation_rain /8.0, 8.0, 8.0 , zm*0./ ! stronger rain matters only in duration (mm/h)
data rain_threshold /0.05, 0.05, 0.05, zm*0 /! rain intensity this small is same as nothing
data drying_model /1, 1, 1, zm*0 /
data wetting_model /1, 1, 1, zm*0 /
real, dimension(7)::eq_p
data eq_p/ 1.035e-09, & !(3.893e-10, 1.681e-09) ! coefficients of the equilibrium fuel moisture polynomial
-2.62e-07, & !(-4.593e-07, -6.473e-08) ! fitted from the graph in Schroeder and Buck (1970)
2.507e-05, & !(2.194e-06, 4.795e-05)
-0.001107, & !(-0.002353, 0.000139)
0.02245, & !(-0.009188, 0.05409)
-0.05901, & !(-0.3721, 0.254)
3.043/ !(2.17, 3.915)
! =========================================================================
! Following table copied from module_fr_cawfe_fuel by Ned Patton with minor changes.
! Based on: Clark, T. L., J. L. Coen and D. Latham: 2004,
! "Description of a coupled atmosphere-fire model",
! International Journal of Wildland Fire, 13, 49-63.
!
! edited by Jan Mandel jmandel@ucar.edu September 2007
!
! - moved all fuel related constants and the initialization subroutine here
! - copied descriptions for fuel categories from fire_sfc.m4 in the original CAWFE code
! This file had to be copied under a new name because packages in wrf physics
! layer are not allowed to call each other.
!D in col 2 means quantity derived from the others
!
! Scalar constants (data same for all fuel categories):
! HFGL SURFACE FIRE HEAT FLUX THRESHOLD TO IGNITE CANOPY (W/m^2)
! CMBCNST JOULES PER KG OF DRY FUEL
! FUELHEAT FUEL PARTICLE LOW HEAT CONTENT, BTU/LB
! FUELMC_G FUEL PARTICLE (SURFACE) MOISTURE CONTENT
!D BMST RATIO OF LATENT TO SENSIBLE HEAT FROM SFC BURN:
! % of total fuel mass that is water (not quite
! = % fuel moisture). BMST= (H20)/(H20+DRY)
! so BMST = FUELMC_G / (1 + FUELMC_G) where
! FUELMC_G = ground fuel moisture
!
! Data arrays indexed by fuel category:
! FGI INITIAL TOTAL MASS OF SURFACE FUEL (KG/M**2)
! FUELDEPTHM FUEL DEPTH, IN M (CONVERTED TO FT)
! SAVR FUEL PARTICLE SURFACE-AREA-TO-VOLUME RATIO, 1/FT
! GRASS: 3500., 10 hr fuel: 109., 100 hr fuel: 30.
! FUELMCE MOISTURE CONTENT OF EXTINCTION; 0.30 FOR MANY DEAD FUELS; 0.15 FOR GRASS
! FUELDENS OVENDRY PARTICLE DENSITY, LB/FT^3
! ST FUEL PARTICLE TOTAL MINERAL CONTENT
! SE FUEL PARTICLE EFFECTIVE MINERAL CONTENT
! WEIGHT WEIGHTING PARAMETER THAT DETERMINES THE SLOPE OF THE MASS LOSS CURVE
! RANGES FROM ~5 (FAST BURNUP) TO 1000 ( ~40% DECR OVER 10 MIN).
! FCI_D INITIAL DRY MASS OF CANOPY FUEL
! FCT BURN OUT TIME FOR CANOPY FUEL, AFTER DRY (S)
! ichap 1 if chaparral, 0 if not
!D FCI INITIAL TOTAL MASS OF CANOPY FUEL
!D FCBR FUEL CANOPY BURN RATE (KG/M**2/S)
!
! scalar fuel coefficients
REAL, SAVE:: cmbcnst,hfgl,fuelmc_g,fuelmc_c, fire_wind_height
! computed values
REAL, SAVE:: fuelheat
! defaults, may be changed in init_fuel_cats
DATA cmbcnst / 17.433e+06/ ! J/kg dry fuel
DATA hfgl / 17.e4 / ! W/m^2
DATA fuelmc_g / 0.08 / ! set = 0 for dry ground fuel
DATA fuelmc_c / 1.00 / ! set = 0 for dry canopy
DATA fire_wind_height/6.096/ ! m, 6.096m Behave, 0 to use fwh in each category
! REAL, PARAMETER :: bmst = fuelmc_g/(1+fuelmc_g)
! REAL, PARAMETER :: fuelheat = cmbcnst * 4.30e-04 ! convert J/kg to BTU/lb
! real, parameter :: xlv = 2.5e6 ! to make it selfcontained
! real, parameter :: cp = 7.*287./2 ! to make it selfcontained
! fuel categorytables
INTEGER, PARAMETER :: nf=14 ! fuel cats in data stmts, for fillers only`
INTEGER, SAVE :: nfuelcats = 13 ! number of fuel categories, can be reset from namelist.fire
INTEGER, PARAMETER :: zf = mfuelcats-nf ! number of zero fillers in data stmt
INTEGER, SAVE :: no_fuel_cat = 14 ! special category outside of 1:nfuelcats
INTEGER, SAVE :: ibeh=1 ! type of spread formula
CHARACTER (len=80), DIMENSION(mfuelcats ), save :: fuel_name
INTEGER, DIMENSION( mfuelcats ), save :: ichap
REAL , DIMENSION( mfuelcats ), save :: windrf,weight,fgi,fci,fci_d,fct,fcbr, &
fueldepthm,fueldens,fuelmce, &
fcwh,fcz0, ffw, &
savr,st,se,adjr0,adjrw,adjrs, &
fmc_gw(mfuelcats,max_moisture_classes)
! =============================================================================
! Standard 13 fire behavior fuel models (for surface fires), along with some
! estimated canopy properties (for crown fire).
! =============================================================================
DATA fuel_name / &
'FUEL MODEL 1: Short grass (1 ft)', &
'FUEL MODEL 2: Timber (grass and understory)', &
'FUEL MODEL 3: Tall grass (2.5 ft)', &
'FUEL MODEL 4: Chaparral (6 ft)', &
'FUEL MODEL 5: Brush (2 ft) ', &
'FUEL MODEL 6: Dormant brush, hardwood slash', &
'FUEL MODEL 7: Southern rough', &
'FUEL MODEL 8: Closed timber litter', &
'FUEL MODEL 9: Hardwood litter', &
'FUEL MODEL 10: Timber (litter + understory)', &
'FUEL MODEL 11: Light logging slash', &
'FUEL MODEL 12: Medium logging slash', &
'FUEL MODEL 13: Heavy logging slash', &
'FUEL MODEL 14: no fuel', &
zf*' '/
DATA windrf /0.36, 0.36, 0.44, 0.55, 0.42, 0.44, 0.44, &
0.36, 0.36, 0.36, 0.36, 0.43, 0.46, 1e-7, zf*0 / ! added jmandel October 2010
DATA fgi / 0.166, 0.897, 0.675, 2.468, 0.785, 1.345, 1.092, &
1.121, 0.780, 2.694, 2.582, 7.749, 13.024, 1.e-7, zf*0. /
DATA fueldepthm /0.305, 0.305, 0.762, 1.829, 0.61, 0.762,0.762, &
0.0610, 0.0610, 0.305, 0.305, 0.701, 0.914, 0.305,zf*0. /
DATA savr / 3500., 2784., 1500., 1739., 1683., 1564., 1562., &
1889., 2484., 1764., 1182., 1145., 1159., 3500., zf*0. /
DATA fuelmce / 0.12, 0.15, 0.25, 0.20, 0.20, 0.25, 0.40, &
0.30, 0.25, 0.25, 0.15, 0.20, 0.25, 0.12 , zf*0. /
DATA fueldens / nf * 32., zf*0. / ! 32 if solid, 19 if rotten.
DATA st / nf* 0.0555 , zf*0./
DATA se / nf* 0.010 , zf*0./
! ----- Notes on weight: (4) - best fit of Latham data;
! (5)-(7) could be 60-120; (8)-(10) could be 300-1600;
! (11)-(13) could be 300-1600
DATA weight / 7., 7., 7., 180., 100., 100., 100., &
900., 900., 900., 900., 900., 900., 7. , zf*0./
! ----- 1.12083 is 5 tons/acre. 5-50 tons/acre orig., 100-300 after blowdown
DATA fci_d / 0., 0., 0., 1.123, 0., 0., 0., &
1.121, 1.121, 1.121, 1.121, 1.121, 1.121, 0., zf*0./
DATA fct / 60., 60., 60., 60., 60., 60., 60., &
60., 120., 180., 180., 180., 180. , 60. , zf*0. /
DATA ichap / 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 , zf*0/
DATA fcwh / 6.096, 6.096, 6.096, 6.096, 6.096, 6.096, 6.096, &
6.096, 6.096, 6.096, 6.096, 6.096, 6.096, 6.096, zf*0. / ! consistent with BEHAVE
! roughness length 0.13*fueldepthm except cat 3 fz0=0.1 for consistency with landuse
! fz0 = 0.0396,0.0396,0.0991,0.2378,0.0793,0.0991,0.0991,
DATA fcz0 / 0.0396,0.0396,0.1000,0.2378,0.0793,0.0991,0.0991, &
0.0079,0.0079,0.0396,0.0396,0.0911,0.1188,0.0396, zf * 0. /
!DATA fcwh /0.6 , 0.6, 1.5, 36, 1.2, 1.5, 1.5, &
! 0.12, 0.12, 0.6, 0.6, 1.38, 1.8, 1.8, zf*0 / ! fuel wind height, added jm 2/23/11
!DATA fcz0 /0.3, 0.3, 0.75, 18., 0.6, 0.75, 0.75, &
! 0.06, 0.06, 0.3, 0.3, 0.69, 0.9, 0.9, zf*0 / ! fuel roughness height, added jm 2/23/11
DATA ffw /nf* 0.9, zf*0/
DATA adjr0 /mfuelcats*1./
DATA adjrw /mfuelcats*1./
DATA adjrs /mfuelcats*1./
! =========================================================================
logical, save :: have_fuel_cats=.false.
contains
subroutine fuel_moisture( &
id, & ! for prints and maybe file names
nfmc, &
ids,ide, jds,jde, & ! atm grid dimensions
ims,ime, jms,jme, &
ips,ipe,jps,jpe, &
its,ite,jts,jte, &
ifds, ifde, jfds, jfde, & ! fire grid dimensions
ifms, ifme, jfms, jfme, &
ifts,ifte,jfts,jfte, &
ir,jr, & ! atm/fire grid ratio
nfuel_cat, & ! fuel data
fmc_gc, & ! moisture contents by class on atmospheric grid
fmc_g & ! weighted fuel moisture contents on fire grid
)
implicit none
!**** arguments
integer, intent(in):: &
id,nfmc, &
ids,ide, jds,jde, & ! atm grid dimensions
ims,ime, jms,jme, &
ips,ipe,jps,jpe, &
its,ite,jts,jte, &
ifds, ifde, jfds, jfde, & ! fire grid dimensions
ifms, ifme, jfms, jfme, &
ifts,ifte,jfts,jfte, &
ir,jr ! atm/fire grid ratio
real,intent(in),dimension(ifms:ifme,jfms:jfme):: nfuel_cat ! fuel data
real,intent(inout),dimension(ims:ime,nfmc,jms:jme):: fmc_gc
real,intent(out),dimension(ifms:ifme,jfms:jfme):: fmc_g ! fuel data
!**** local
real, dimension(its-1:ite+1,jts-1:jte+1):: fmc_k ! copy of fmc_gc(:,k,:)
real, dimension(ifts:ifte,jfts:jfte):: fmc_f ! interpolation of fmc_gc(:,k,:) to the fire grid
integer::i,j,k,n
integer::ibs,ibe,jbs,jbe
character(len=128)::msg
call check_mesh_2dim(ifts,ifte,jfts,jfte,ifds,ifde,jfds,jfde) ! check if fire tile fits into domain
call check_mesh_2dim(ifts,ifte,jfts,jfte,ifms,ifme,jfms,jfme) ! check if fire tile fits into memory
do j=jfts,jfte
do i=ifts,ifte
fmc_g(i,j)=0. ! initialize sum over classes
enddo
enddo
! one beyond the tile but not beyond the domain boundary
ibs=max(ids,its-1)
ibe=min(ide,ite+1)
jbs=max(jds,jts-1)
jbe=min(jde,jte+1)
call check_mesh_2dim(ibs,ibe,jbs,jbe,ims,ime,jms,jme) ! check if tile with halo fits into memory
do k=1,moisture_classes
! copy halo beyond the tile but not beyond the domain boundary
do j=jbs,jbe
do i=ibs,ibe
fmc_k(i,j)=fmc_gc(i,k,j) ! copy slice to 2d array
enddo
enddo
call print_2d_stats(ibs,ibe,jbs,jbe,its-1,ite+1,jts-1,jte+1,fmc_k,'fuel_moisture: fmc_k')
! interpolate moisture contents in the class k to the fire mesh
call interpolate_z2fire(id,0, & ! for debug output, <= 0 no output
ids,ide,jds,jde, & ! atm grid dimensions
its-1,ite+1,jts-1,jte+1, & ! memory dimensions
ips,ipe,jps,jpe, &
its,ite,jts,jte, &
ifds, ifde, jfds, jfde, & ! fire grid dimensions
ifts, ifte, jfts, jfte, &
ifts,ifte, jfts,jfte, &
ir,jr, & ! atm/fire grid ratio
fmc_k, & ! atm grid arrays in
fmc_f) ! fire grid arrays out
call print_2d_stats(ifts,ifte,jfts,jfte,ifts,ifte,jfts,jfte,fmc_f,'fuel_moisture: fmc_f')
! add moisture contents for class k to the fuel moisture
do j=jfts,jfte
do i=ifts,ifte
n = nfuel_cat(i,j)
if(n > 0)then
fmc_g(i,j)=fmc_g(i,j)+fmc_gw(n,k)*fmc_f(i,j) ! add to sum over classes
endif
enddo
enddo
call print_2d_stats(ifts,ifte,jfts,jfte,ifms,ifme,jfms,jfme,fmc_g,'fuel_moisture: fmc_g')
enddo
end subroutine fuel_moisture
subroutine advance_moisture( &
initialize, & ! initialize timestepping. true on the first call at time 0, then false
fmoist_init, & ! initial moisture: 1=fuelmc_g, 2=equilibrium, else = none
ims,ime, jms,jme, & ! memory dimensions
its,ite, jts,jte, & ! tile dimensions
nfmc, & ! dimension of moisture fields
moisture_dt, & ! timestep = time step time elapsed from the last call
rainc, rainnc, & ! accumulated rain
t2, q2, psfc, & ! temperature (K), vapor contents (kg/kg), pressure (Pa) at the surface
rain_old, & ! previous value of accumulated rain
t2_old, q2_old, psfc_old, & ! previous values of the atmospheric state at surface
fmc_gc, & ! fuel moisture by class, updated
fmc_equi, & ! fuel moisture equilibrium by class, for diagnostics only
fmc_lag & ! fuel moisture tendency by classe, for diagnostics only
)
implicit none
!*** arguments
logical, intent(in):: initialize
integer, intent(in):: &
fmoist_init, &
ims,ime, jms,jme, & ! memory dimensions
its,ite, jts,jte, & ! tile dimensions
nfmc ! number of moisture fields
real, intent(in):: moisture_dt
real, intent(in), dimension(ims:ime,jms:jme):: t2, q2, psfc, rainc, rainnc
real, intent(inout), dimension(ims:ime,jms:jme):: t2_old, q2_old, psfc_old, rain_old
real, intent(inout), dimension(ims:ime,nfmc,jms:jme):: fmc_gc
real, intent(out), dimension(ims:ime,nfmc,jms:jme):: fmc_equi, fmc_lag
!*** global
! fuel properties moisture set by init_fuel_cats
!*** local
integer:: i,j,k
real::rain_int, T, P, Q, QRS, ES, RH, tend, EMC_d, EMC_w, EMC, R, rain_diff, fmc, rlag, equi, &
d, w, rhmax, rhmin, change, rainmax,rainmin, fmc_old
real, parameter::tol=1e-2 ! relative change larger than that will switch to exponential ode solver
character(len=256)::msg
integer::msglevel=2
logical, parameter::check_data=.true.,check_rh=.false.
real::epsilon,Pws,Pw
!*** executable
! check arguments
if(msglevel>1)then
!$OMP CRITICAL(SFIRE_PHYS_CRIT)
write(msg,'(a,f10.2,a,i4,a,i4)')'advance moisture dt=',moisture_dt,'s using ',moisture_classes,' classes from possible ',nfmc
!$OMP END CRITICAL(SFIRE_PHYS_CRIT)
call message(msg)
endif
if(moisture_classes > nfmc .or. moisture_classes > max_moisture_classes)then
!$OMP CRITICAL(SFIRE_PHYS_CRIT)
write(msg,*)'advance_moisture: moisture_classes=',moisture_classes, &
' > nfmc=',nfmc,' or > max_moisture_classes=',max_moisture_classes
!$OMP END CRITICAL(SFIRE_PHYS_CRIT)
call crash(msg)
endif
call print_2d_stats(its,ite,jts,jte,ims,ime,jms,jme,t2,'T2')
call print_2d_stats(its,ite,jts,jte,ims,ime,jms,jme,q2,'Q2')
call print_2d_stats(its,ite,jts,jte,ims,ime,jms,jme,psfc,'PSFC')
if(initialize) then
call message('advance_moisture: initializing, copying surface variables to old')
call copy2old
else
call print_3d_stats_by_slice(its,ite,1,moisture_classes,jts,jte,ims,ime,1,nfmc,jms,jme,fmc_gc,'before advance fmc_gc')
endif
if(check_data)then
do j=jts,jte
do i=its,ite
if( .not.(t2(i,j)>0.0 .and. psfc(i,j)>0.0 .and. .not. q2(i,j) < 0.0 ))then
!$OMP CRITICAL(SFIRE_PHYS_CRIT)
write(msg,'(a,2i4,a,3e12.2)')'At i j',i,j,' t2 psfc q2 are ',t2(i,j),psfc(i,j),q2(i,j)
!$OMP END CRITICAL(SFIRE_PHYS_CRIT)
call message(msg)
call crash('invalid data passed from WRF, must have t2 psfc>0, q2 >= 0')
endif
enddo
enddo
endif
! one time step
rhmax=-huge(rhmax)
rhmin=huge(rhmin)
rainmax=-huge(rainmax)
rainmin= huge(rainmin)
do j=jts,jte
do k=1,moisture_classes
do i=its,ite
! old fuel moisture contents
! compute the rain intensity from the difference of accumulated rain
rain_diff = ((rainc(i,j) + rainnc(i,j)) - rain_old(i,j))
if(moisture_dt > 0.)then
rain_int = 3600. * rain_diff / moisture_dt
else
rain_int = 0.
endif
rainmax = max(rainmax,rain_int)
rainmin = min(rainmin,rain_int)
R = rain_int - rain_threshold(k)
if (R > 0.) then
select case(wetting_model(k))
case(1) ! saturation_moisture=2.5 wetting_lag=14h saturation_rain=8 mm/h calibrated to VanWagner&Pickett 1985 per 24 hours
EMC_w=saturation_moisture(k)
EMC_d=saturation_moisture(k)
rlag=rec_wetting_lag_sec(k) * (1. - exp(-R/saturation_rain(k)))
end select
else ! not raining
! average the inputs for second order accuracy
T = 0.5 * (t2_old(i,j) + t2(i,j))
P = 0.5 * (psfc_old(i,j) + psfc(i,j))
Q = 0.5 * (q2_old(i,j) + q2(i,j))
! compute the relative humidity
! ES=610.78*exp(17.269*(T-273.161)/(T-35.861))
! QRS=0.622*ES/(P-0.378*ES)
! RH = Q/QRS
! function rh_from_q from Adam Kochanski following Murphy and Koop, Q.J.R. Meteorol. Soc (2005) 131 1539-1565 eq. (10)
epsilon = 0.622 ! Molecular weight of water (18.02 g/mol) to molecular weight of dry air (28.97 g/mol)
! vapor pressure [Pa]
Pw=q*P/(epsilon+(1-epsilon)*q);
! saturation vapor pressure [Pa]
Pws= exp( 54.842763 - 6763.22/T - 4.210 * log(T) + 0.000367*T + &
tanh(0.0415*(T - 218.8)) * (53.878 - 1331.22/T - 9.44523 * log(T) + 0.014025*T))
!realtive humidity [%]
RH = Pw/Pws
rhmax=max(RH,rhmax)
rhmin=min(RH,rhmin)
if(.not.check_rh)then
RH = min(RH,1.0)
else
if(RH < 0.0 .or. RH > 1.0 .or. RH .ne. RH )then
!$OMP CRITICAL(SFIRE_PHYS_CRIT)
write(msg,'(a,2i6,5(a,f10.2))')'At i,j ',i,j,' RH=',RH, &
' from T=',T,' P=',P,' Q=',Q
call message(msg)
call crash('Relative humidity must be between 0 and 1, saturated water contents must be >0')
!$OMP END CRITICAL(SFIRE_PHYS_CRIT)
endif
endif
!print *,'ADV_MOIST i=',i,' j=',j,' T=',T,' P=',P,' Q=',Q,' ES=',ES,' QRS=',QRS,' RH=',RH
select case(drying_model(k))
case(1) ! Van Wagner (1972) per Viney (1991) eq (7) (8)
d=0.924*RH**0.679 + 0.000499*exp(0.1*RH) + 0.18*(21.1+273.15-T)*(1-exp(-0.115*RH)) ! equilibrium moisture for drying
w=0.618*RH**0.753 + 0.000454*exp(0.1*RH) + 0.18*(21.1+273.15-T)*(1-exp(-0.115*RH)) ! equilibrium moisture for adsorbtion
if(d.ne.d.or.w.ne.w)call crash('equilibrium moisture calculation failed, result is NaN')
EMC_d = max(d,w)
EMC_w = min(d,w)
rlag=rec_drying_lag_sec(k)
end select
endif
!*** MODELS THAT ARE NOT OF THE EXPONENTIAL TIME LAG KIND
! ARE RESPONSIBLE FOR THEIR OWN LOGIC, THESE MODELS
! SHOULD COMPUTE fmc_gc(i,k,j) DIRECTLY AND SET TLAG < 0
!
if(rlag > 0.0)then
if(.not.initialize)then
fmc_old = fmc_gc(i,k,j)
equi = max(min(fmc, EMC_d),EMC_w)
elseif(fmoist_init.eq.1)then
fmc_old = fuelmc_g
equi = fmc_old
elseif(fmoist_init.eq.2)then
fmc_old=0.5*(EMC_d+EMC_w)
equi=fmc_old
else ! do not change fmc_gc
fmc_old = fmc_gc(i,k,j)
equi=fmc_old
endif
change = moisture_dt * rlag
if(change < tol)then
if(fire_print_msg.ge.3)call message('midpoint method')
fmc = fmc_old + (equi - fmc_old)*change ! standard 2nd order midpoint method
else
if(fire_print_msg.ge.3)call message('exponential method')
fmc = fmc_old + (equi - fmc_old)*(1 - exp(-change))
endif
fmc_gc(i,k,j) = fmc
! diagnostics out
fmc_equi(i,k,j)=equi
fmc_lag(i,k,j)=1.0/(3600.0*rlag)
! diagnostic prints
if(fire_print_msg.ge.3)then
!$OMP CRITICAL(SFIRE_PHYS_CRIT)
write(msg,*)'i=',i,' j=',j,'EMC_w=',EMC_w,' EMC_d=',EMC_d
call message(msg)
write(msg,*)'fmc_old=',fmc,' equi=',equi,' change=',change,' fmc=',fmc
call message(msg)
!$OMP END CRITICAL(SFIRE_PHYS_CRIT)
endif
endif
enddo
enddo
enddo
if(fire_print_msg.ge.2)then
!$OMP CRITICAL(SFIRE_PHYS_CRIT)
write(msg,2)'Rain intensity min',rainmin, ' max',rainmax,' mm/h'
call message(msg)
write(msg,2)'Relative humidity min',100*rhmin,' max',100*rhmax,'%'
call message(msg)
if(.not.(rhmax<=1.0 .and. rhmin>=0))then
call message('WARNING Relative humidity must be between 0 and 100%')
endif
2 format(2(a,f10.2),a)
!$OMP CRITICAL(SFIRE_PHYS_CRIT)
endif
call print_3d_stats_by_slice(its,ite,1,moisture_classes,jts,jte,ims,ime,1,nfmc,jms,jme,fmc_equi,'equilibrium fmc_equi')
call print_3d_stats_by_slice(its,ite,1,moisture_classes,jts,jte,ims,ime,1,nfmc,jms,jme,fmc_lag,'time lag')
call print_3d_stats_by_slice(its,ite,1,moisture_classes,jts,jte,ims,ime,1,nfmc,jms,jme,fmc_gc,'after advance fmc_gc')
call copy2old
return
contains
subroutine copy2old
do j=jts,jte
do i=its,ite
rain_old(i,j) = rainc(i,j) + rainnc(i,j)
t2_old(i,j) = t2(i,j)
q2_old(i,j) = q2(i,j)
psfc_old(i,j) = psfc(i,j)
enddo
enddo
end subroutine copy2old
subroutine get_equi_moist
end subroutine get_equi_moist
end subroutine advance_moisture
subroutine init_fuel_cats(init_fuel_moisture)
implicit none
!*** purpose: initialize fuel tables and variables by constants
!*** arguments:
logical, intent(in)::init_fuel_moisture
logical, external:: wrf_dm_on_monitor
!$ integer, external:: OMP_GET_THREAD_NUM
!*** local
integer:: i,j,k,ii,iounit,ierr,kk
character(len=128):: msg
REAL , DIMENSION( mfuelcats ) :: fwh, fz0
!*** executable
! read
namelist /fuel_scalars/ cmbcnst,hfgl,fuelmc_g,fuelmc_c,nfuelcats,no_fuel_cat,fire_wind_height,ibeh
namelist /fuel_categories/ fuel_name,windrf,fgi,fueldepthm,savr, &
fuelmce,fueldens,st,se,weight,fci_d,fct,ichap,fwh,fz0,ffw,adjr0,adjrw,adjrs,fmc_gw01,fmc_gw02,fmc_gw03,fmc_gw04,fmc_gw05
namelist /moisture/ moisture_classes,drying_lag,wetting_lag,saturation_moisture,saturation_rain,rain_threshold, &
drying_model,wetting_model, moisture_class_name
!$ if (OMP_GET_THREAD_NUM() .ne. 0)then
!$ call crash('init_fuel_cats: must be called from master thread')
!$ endif
IF ( wrf_dm_on_monitor() ) THEN
! we are the master task
! copy in defaults
fwh=fcwh
fz0=fcz0
! read the file
iounit=open_text_file('namelist.fire','read')
read(iounit,fuel_scalars,iostat=ierr)
if(ierr.ne.0)call crash('init_fuel_cats: error reading namelist fuel_scalars in file namelist.fire')
read(iounit,fuel_categories,iostat=ierr)
if(ierr.ne.0)call crash('init_fuel_cats: error reading namelist fuel_categories in file namelist.fire')
if(init_fuel_moisture)then
read(iounit,moisture,iostat=ierr)
if(ierr.ne.0)call crash('init_fuel_cats: error reading namelist moisture in file namelist.fire')
endif
fmc_gw(1:mfuelcats,1)=fmc_gw01
fmc_gw(1:mfuelcats,2)=fmc_gw02
fmc_gw(1:mfuelcats,3)=fmc_gw03
fmc_gw(1:mfuelcats,4)=fmc_gw04
fmc_gw(1:mfuelcats,5)=fmc_gw05
CLOSE(iounit)
! copy out to permanent names
fcwh=fwh
fcz0=fz0
if (nfuelcats>mfuelcats) then
write(msg,*)'nfuelcats=',nfuelcats,' too large, increase mfuelcats'
call crash(msg)
endif
if (no_fuel_cat >= 1 .and. no_fuel_cat <= nfuelcats)then
write(msg,*)'no_fuel_cat=',no_fuel_cat,' may not be between 1 and nfuelcats=',nfuelcats
call crash(msg)
endif
ENDIF
! broadcast fuel tables
call wrf_dm_bcast_real(cmbcnst,1)
call wrf_dm_bcast_real(hfgl,1)
call wrf_dm_bcast_real(fuelmc_g,1)
call wrf_dm_bcast_real(fuelmc_c,1)
call wrf_dm_bcast_real(fire_wind_height,1)
call wrf_dm_bcast_integer(nfuelcats,1)
call wrf_dm_bcast_integer(no_fuel_cat,1)
call wrf_dm_bcast_integer(ibeh,1)
call wrf_dm_bcast_real(windrf, nfuelcats)
call wrf_dm_bcast_real(fgi, nfuelcats)
call wrf_dm_bcast_real(fueldepthm,nfuelcats)
call wrf_dm_bcast_real(savr, nfuelcats)
call wrf_dm_bcast_real(fuelmce, nfuelcats)
call wrf_dm_bcast_real(fueldens, nfuelcats)
call wrf_dm_bcast_real(st, nfuelcats)
call wrf_dm_bcast_real(se, nfuelcats)
call wrf_dm_bcast_real(weight, nfuelcats)
call wrf_dm_bcast_real(fci_d, nfuelcats)
call wrf_dm_bcast_real(fct, nfuelcats)
call wrf_dm_bcast_integer(ichap, nfuelcats)
call wrf_dm_bcast_real(fcwh, nfuelcats)
call wrf_dm_bcast_real(fcz0, nfuelcats)
call wrf_dm_bcast_real(ffw, nfuelcats)
call wrf_dm_bcast_real(adjr0, nfuelcats)
call wrf_dm_bcast_real(adjrw, nfuelcats)
call wrf_dm_bcast_real(adjrs, nfuelcats)
! broadcast moisture tables
call wrf_dm_bcast_integer(moisture_classes,1)
call wrf_dm_bcast_real(drying_lag, max_moisture_classes)
call wrf_dm_bcast_real(wetting_lag, max_moisture_classes)
call wrf_dm_bcast_real(saturation_moisture, max_moisture_classes)
call wrf_dm_bcast_real(saturation_rain, max_moisture_classes)
call wrf_dm_bcast_real(rain_threshold, max_moisture_classes)
call wrf_dm_bcast_integer(drying_model, max_moisture_classes)
call wrf_dm_bcast_integer(wetting_model, max_moisture_classes)
call wrf_dm_bcast_real(fmc_gw, mfuelcats*max_moisture_classes)
! moisture model derived scalars
do i=1,moisture_classes
rec_drying_lag_sec(i) = 1.0/(3600.0*drying_lag(i))
rec_wetting_lag_sec(i) = 1.0/(3600.0*wetting_lag(i))
enddo
!-------------------------------- fuel model
! compute derived scalars
fuelheat = cmbcnst * 4.30e-04 ! convert J/kg to BTU/lb
! compute derived fuel category coefficients
DO i = 1,nfuelcats
fci(i) = (1.+fuelmc_c)*fci_d(i)
if(fct(i) .ne. 0.)then
fcbr(i) = fci_d(i)/fct(i) ! to avoid division by zero
else
fcbr(i) = 0
endif
END DO
! prints
call message('**********************************************************')
call message('FUEL COEFFICIENTS')
write(msg,8)'cmbcnst ',cmbcnst
call message(msg)
write(msg,8)'hfgl ',hfgl
call message(msg)
write(msg,8)'fuelmc_g ',fuelmc_g
call message(msg)
write(msg,8)'fuelmc_c ',fuelmc_c
call message(msg)
write(msg,8)'fuelheat ',fuelheat
call message(msg)
write(msg,7)'nfuelcats ',nfuelcats
call message(msg)
write(msg,7)'no_fuel_cat',no_fuel_cat
call message(msg)
if(init_fuel_moisture)then
write(msg,7)'moisture_classes',moisture_classes
call message(msg)
endif
j=1
7 format(a,5(1x,i8,4x))
8 format(a,5(1x,g12.5e2))
9 format(a,5(1x,a))
10 format(a,i2.2,2x,5(1x,g12.5e2))
do i=1,nfuelcats,j
k=min(i+j-1,nfuelcats)
call message(' ')
write(msg,7)'CATEGORY ',(ii,ii=i,k)
call message(msg)
write(msg,9)'fuel name ',(trim(fuel_name(ii)),ii=i,k)
call message(msg)
write(msg,8)'fwh ',(fcwh(ii),ii=i,k)
call message(msg)
write(msg,8)'fz0 ',(fcz0(ii),ii=i,k)
call message(msg)
write(msg,8)'windrf ',(windrf(ii),ii=i,k)
call message(msg)
write(msg,8)'fgi ',(fgi(ii),ii=i,k)
call message(msg)
write(msg,8)'fueldepthm',(fueldepthm(ii),ii=i,k)
call message(msg)
write(msg,8)'savr ',(savr(ii),ii=i,k)
call message(msg)
write(msg,8)'fuelmce ',(fuelmce(ii),ii=i,k)
call message(msg)
write(msg,8)'fueldens ',(fueldens(ii),ii=i,k)
call message(msg)
write(msg,8)'st ',(st(ii),ii=i,k)
call message(msg)
write(msg,8)'se ',(se(ii),ii=i,k)
call message(msg)
write(msg,8)'weight ',(weight(ii),ii=i,k)
call message(msg)
write(msg,8)'fci_d ',(fci_d(ii),ii=i,k)
call message(msg)
write(msg,8)'fct ',(fct(ii),ii=i,k)
call message(msg)
write(msg,7)'ichap ',(ichap(ii),ii=i,k)
call message(msg)
write(msg,8)'fci ',(fci(ii),ii=i,k)
call message(msg)
write(msg,8)'fcbr ',(fcbr(ii),ii=i,k)
call message(msg)
write(msg,8)'ffw ',(ffw(ii),ii=i,k)
call message(msg)
write(msg,8)'adjr0 ',(adjr0(ii),ii=i,k)
call message(msg)
write(msg,8)'adjrw ',(adjrw(ii),ii=i,k)
call message(msg)
write(msg,8)'adjrs ',(adjrs(ii),ii=i,k)
call message(msg)
if(init_fuel_moisture)then
do kk=1,moisture_classes
write(msg,10)'fmc_gw',kk,(fmc_gw(ii,kk),ii=i,k)
call message(msg)
enddo
endif
enddo
call message(' ')
call message('**********************************************************')
if(init_fuel_moisture)then
j=1
do i=1,moisture_classes,j
k=min(i+j-1,nfuelcats)
call message(' ')
write(msg,7)'FUEL MOISTURE CLASS',(ii,ii=i,k)
call message(msg)
write(msg,9)'moisture class name',(trim(moisture_class_name(ii)),ii=i,k)
call message(msg)
write(msg,7)'drying_model ',(drying_model(ii),ii=i,k)
call message(msg)
write(msg,8)'drying_lag (h) ',(drying_lag(ii),ii=i,k)
call message(msg)
write(msg,7)'wetting_model ',(wetting_model(ii),ii=i,k)
call message(msg)
write(msg,8)'wetting_lag (h) ',(wetting_lag(ii),ii=i,k)
call message(msg)
write(msg,8)'saturation_moisture',(saturation_moisture(ii),ii=i,k)
call message(msg)
write(msg,8)'saturation_rain ',(saturation_rain(ii),ii=i,k)
call message(msg)
write(msg,8)'rain_threshold ',(rain_threshold(ii),ii=i,k)
call message(msg)
enddo
call message(' ')
call message('**********************************************************')
call message(' ')
endif
have_fuel_cats=.true.
! and print to file
IF ( wrf_dm_on_monitor() ) THEN
call write_fuels_m(61,30.,1.)
ENDIF
end subroutine init_fuel_cats
subroutine write_fuels_m(nsteps,maxwind,maxslope)
implicit none
integer, intent(in):: nsteps ! number of steps for speed computation
real, intent(in):: maxwind,maxslope ! computer from zero to these
integer:: iounit,k,j,i
type(fire_params)::fp
real, dimension(1:2,1:nsteps), target::vx,vy,zsf,dzdxf,dzdyf,bbb,phisc,phiwc,r_0,fgip,ischap,fmc_g
real, dimension(1:2,1:nsteps)::nfuel_cat,fuel_time,ros,fwh,fz0
real::ros_back,ros_wind,ros_slope,propx,propy,r
if(.not.have_fuel_cats)call crash('write_fuels_m: fuel categories not yet set')
fp%vx=>vx
fp%vy=>vy
fp%dzdxf=>dzdxf
fp%dzdyf=>dzdyf
fp%bbb=>bbb
fp%phisc=>phisc
fp%phiwc=>phiwc
fp%r_0=>r_0
fp%fgip=>fgip
fp%ischap=>ischap
fp%fmc_g=>fmc_g
iounit = open_text_file('fuels.m','write')
10 format('fuel(',i3,').',a,'=',"'",a,"'",';% ',a)
do k=1,nfuelcats
write(iounit,10)k,'fuel_name',trim(fuel_name(k)),'FUEL MODEL NAME'
call write_var(k,'windrf',windrf(k),'WIND REDUCTION FACTOR FROM FCWH TO MIDFLAME HEIGHT' )
call write_var(k,'fwh',fcwh(k),'WIND HEIGHT TO INTERPOLATE VERTICALLY TO (M)' )
call write_var(k,'fz0',fcz0(k),'ROUGHNESS LENGTH FOR VERTICAL WIND LOG INTERPOLATION (M)' )
call write_var(k,'fgi',fgi(k),'INITIAL TOTAL MASS OF SURFACE FUEL (KG/M**2)' )
call write_var(k,'fueldepthm',fueldepthm(k),'FUEL DEPTH (M)')
call write_var(k,'savr',savr(k),'FUEL PARTICLE SURFACE-AREA-TO-VOLUME RATIO, 1/FT')
call write_var(k,'fuelmce',fuelmce(k),'MOISTURE CONTENT OF EXTINCTION')
call write_var(k,'fueldens',fueldens(k),'OVENDRY PARTICLE DENSITY, LB/FT^3')
call write_var(k,'st',st(k),'FUEL PARTICLE TOTAL MINERAL CONTENT')
call write_var(k,'se',se(k),'FUEL PARTICLE EFFECTIVE MINERAL CONTENT')
call write_var(k,'weight',weight(k),'WEIGHTING PARAMETER THAT DETERMINES THE SLOPE OF THE MASS LOSS CURVE')
call write_var(k,'fci_d',fci_d(k),'INITIAL DRY MASS OF CANOPY FUEL')
call write_var(k,'fct',fct(k),'BURN OUT TIME FOR CANOPY FUEL, AFTER DRY (S)')
call write_var(k,'ichap',float(ichap(k)),'1 if chaparral, 0 if not')
call write_var(k,'fci',fci(k),'INITIAL TOTAL MASS OF CANOPY FUEL')
call write_var(k,'fcbr',fcbr(k),'FUEL CANOPY BURN RATE (KG/M**2/S)')
call write_var(k,'adjr0',adjr0(k),'MULTIPLICATIVE ADJUSTMENT OF BACKING SPREAD RATE')
call write_var(k,'adjrw',adjrw(k),'MULTIPLICATIVE ADJUSTMENT OF WIND CONTRIBUTION TO SPREAD RATE')
call write_var(k,'adjrs',adjrs(k),'MULTIPLICATIVE ADJUSTMENT OF SLOPE CONTRIBUTION TO SPREAD RATE')
call write_var(k,'ffw',ffw(k),'FUEL FRACTION CONSUMED IN THE FLAMING ZONE')
call write_var(k,'hfgl',hfgl,'SURFACE FIRE HEAT FLUX THRESHOLD TO IGNITE CANOPY (W/m^2)')
call write_var(k,'cmbcnst',cmbcnst,'JOULES PER KG OF DRY FUEL')
call write_var(k,'fuelheat',fuelheat,'FUEL PARTICLE LOW HEAT CONTENT, BTU/LB')
call write_var(k,'fuelmc_g',fuelmc_g,'FUEL PARTICLE (SURFACE) MOISTURE CONTENT')
call write_var(k,'fuelmc_c',fuelmc_c,'FUEL PARTICLE (CANOPY) MOISTURE CONTENT')
! set up fuel arrays
!subroutine set_fire_params( &
! ifds,ifde,jfds,jfde, &
! ifms,ifme,jfms,jfme, &
! ifts,ifte,jfts,jfte, &
! fdx,fdy,nfuel_cat0, &
! nfuel_cat,fuel_time, &
! fp )
nfuel_cat = k
call set_fire_params( &
1,2,1,nsteps, &
1,2,1,nsteps, &
1,2,1,nsteps, &
0.,0.,k, &
nfuel_cat,fuel_time, &
fp )
! set up windspeed and slope table
propx=1.
propy=0.
do j=1,nsteps
r=float(j-1)/float(nsteps-1)
! line 1 varies windspeed (in x direction), zero slope
vx(1,j)=maxwind*r
vy(1,j)=0.
dzdxf(1,j)=0.
dzdyf(1,j)=0.
! line 2 varies slope (in x direction), zero slope
vx(2,j)=0.
vy(2,j)=0.
dzdxf(2,j)=maxslope*r
dzdyf(2,j)=0.
enddo
do j=1,nsteps
do i=1,2
call fire_ros(ros_back,ros_wind,ros_slope, &
propx,propy,i,j,fp)
ros(i,j)=ros_back+ros_wind+ros_slope
enddo
write(iounit,13)k,'wind',j,vx(1,j),'wind speed'
write(iounit,13)k,'ros_wind',j,ros(1,j),'rate of spread for the wind speed'
write(iounit,13)k,'slope',j,dzdxf(2,j),'slope'
write(iounit,13)k,'ros_slope',j,ros(2,j),'rate of spread for the slope'
enddo
enddo
13 format('fuel(',i3,').',a,'(',i3,')=',g12.5e2,';% ',a)
close(iounit)
! stop
contains
subroutine write_var(k,name,value,descr)
! write entry for one variable
integer, intent(in)::k
character(len=*), intent(in)::name,descr
real, intent(in)::value
write(iounit,11)k,name,value
write(iounit,12)k,name,descr
11 format('fuel(',i3,').',a,'=',g12.5e2, ';')
12 format('fuel(',i3,').',a,"_descr='",a,"';")
end subroutine write_var
end subroutine write_fuels_m
!
!*******************
!
subroutine set_fire_params( &
ifds,ifde,jfds,jfde, &
ifms,ifme,jfms,jfme, &
ifts,ifte,jfts,jfte, &
fdx,fdy,nfuel_cat0, &
nfuel_cat,fuel_time, &
fp )
implicit none
!*** purpose: Set all fire model params arrays, constant values.
!*** arguments
integer, intent(in)::ifds,ifde,jfds,jfde ! fire domain bounds
integer, intent(in)::ifts,ifte,jfts,jfte ! fire tile bounds
integer, intent(in)::ifms,ifme,jfms,jfme ! memory array bounds
real, intent(in):: fdx,fdy ! fire mesh spacing
integer,intent(in)::nfuel_cat0 ! default fuel category, if nfuel_cat=0
real, intent(in),dimension(ifms:ifme, jfms:jfme)::nfuel_cat ! fuel data
real, intent(out), dimension(ifms:ifme, jfms:jfme)::fuel_time ! fire params arrays
type(fire_params),intent(inout)::fp
!*** local
real:: fuelload, fueldepth, rtemp1, rtemp2, &
qig, epsilon, rhob, wn, betaop, e, c, &
xifr, etas, etam, a, gammax, gamma, ratio, ir, &
fuelloadm,fdxinv,fdyinv,betafl, bmst
integer:: i,j,k
integer::nerr
character(len=128)::msg
!*** executable
if(.not.have_fuel_cats)call crash('set_fire_params: fuel categories not yet set')
nerr=0
do j=jfts,jfte
do i=ifts,ifte
! fuel category
k=int( nfuel_cat(i,j) )
if(k.eq.no_fuel_cat)then ! no fuel
fp%fgip(i,j)=0. ! no mass
fp%ischap(i,j)=0.
fp%phisc(i,j)=0. !
fp%bbb(i,j)=1. !
fuel_time(i,j)=7./0.85 ! does not matter, just what was there before
fp%phiwc(i,j)=0.
fp%r_0(i,j)=0. ! no fuel, no spread.
else
if(k.eq.0.and.nfuel_cat0.ge.1.and.nfuel_cat0.le.nfuelcats)then
! replace k=0 by default
k=nfuel_cat0