! source file: /sfs/fs6/home-geomar/smomw258/UVic_ESCM/2.9/source/mtlm/penmon.F subroutine PENMON (POINTS, LAND_PTS, LAND_INDEX, DZ_SOIL &, HCON_SOIL, RS, Z0, LW, SWN, PSTAR, Q1, T1 &, TS1, WIND, Z1, LC, LF, EPSILON, SIGMA, TM &, ZERODEGC, E, LE, SH, G, RADNET, TSTAR, MNEG &, LW_OUT, LYING_SNOW) !----------------------------------------------------------------------- ! Routine to calculate the evaporation using an extended version of ! the Penman-Monteith equation. !********************************************************************** ! this file is based on code that may have had the following copyright: ! (c) CROWN COPYRIGHT 1997, U.K. METEOROLOGICAL OFFICE. ! Permission has been granted by the authors to the public to copy ! and use this software without charge, provided that this Notice and ! any statement of authorship are reproduced on all copies. Neither the ! Crown nor the U.K. Meteorological Office makes any warranty, express ! or implied, or assumes any liability or responsibility for the use of ! this software. !********************************************************************** !----------------------------------------------------------------------- implicit none ! POINTS = IN Total number of land points. ! LAND_PTS = IN Number of points on which TRIFFID may operate. ! LAND_INDEX = IN Indices of land points on which TRIFFID may operate. integer POINTS, LAND_PTS, LAND_INDEX(POINTS), I, L ! Surface variables ! DZ_SOIL = IN Soil layer thickness (m). ! HCON_SOIL = IN Soil heat capacity (W/m/K). ! RS = IN Surface resistance (s/m). ! Z0 = IN Roughness length (m). ! MNEG = IN Negative soil moisture (kg/m2). ! LYING_SNOW = IN Snow (kg/m2). ! Driving variables ! LW = IN Downward LW (W/m2). ! SWN = IN Net downward SW (W/m2). ! PSTAR = IN Surface pressure (Pa). ! Q1 = IN Specific humidity (kg/kg). ! T1 = IN Atmospheric temperature (K). ! TS1 = IN Sub-surface temperature (K). ! WIND = IN Windspeed (m/s). ! Parameters ! Z1 = IN Reference height (m). ! LC = IN Latent heat of condensation (J/kg). ! LF = IN Latent heat of fusion (J/kg). ! EPSILON = IN Ratio of molecular weights of water and dry air. ! SIGMA = IN Stefan-Boltzman constant (W/m2/K4). ! TM = IN Melting point of fresh water (K). ! ZERODEGC = IN Zero Celsius (K). ! Outputs ! E = OUT Evapotranspiration (kg/m2/s). ! LE = OUT Latent heat flux (W/m2). ! SH = OUT Sensible heat flux (W/m2). ! G = OUT Ground heat flux (W/M2). ! RADNET = OUT Surface net radiation (W/m2). ! TSTAR = OUT Surface temperature (K). ! LW_OUT = OUT net longwave radiation (W/m2). ! Work Variables ! AHAT = WORK "Available energy" (W/m2). ! AS1 = WORK 2*HCON_SOIL/DZ_SOIL (W/m2/K). ! CHN = WORK Neutral transfer coefficients. ! DENOM = WORK Denominator of PM equation. ! DQ1 = WORK Humidity deficit (kg/kg). ! DQS_DT = WORK Rate of change of saturated specific humidity with ! temperature (kg/kg/K). ! DUM = WORK Workspace variable. ! LAT = WORK Latent heat constant (J/kg). ! NUMER = WORK Numerator of PM equation. ! RESF = WORK 1/(1+RS/RA). ! QS1 = WORK Saturated specific humidity at (T1,PSTAR) (kg/kg). ! RA = WORK Aerodynamic resistance (s/m). ! RHOSTAR = WORK Surface air density (kg/m3). ! ZETAH,ZETAM = WORK Temporaries in calculation of CHN. real DZ_SOIL ,HCON_SOIL, RS(POINTS), Z0(POINTS) real MNEG(POINTS), LYING_SNOW(POINTS), LW(POINTS) real SWN(POINTS), PSTAR(POINTS), Q1(POINTS), T1(POINTS) real TS1(POINTS), WIND(POINTS), Z1, LC, LF, EPSILON, SIGMA real TM, ZERODEGC, E(POINTS), LE(POINTS), SH(POINTS) real G(POINTS), RADNET(POINTS), TSTAR(POINTS) real LW_OUT(POINTS), AHAT(POINTS), AS1, CHN, DENOM real DQ1(POINTS), DQS_DT(POINTS), DUM, LAT(POINTS), NUMER real RESF, QS1(POINTS), RA(POINTS), RHOSTAR(POINTS), ZETAH real ZETAM ! Local parameters ! R = Gas constant (J/kg/K). ! CP = Specific heat of dry air at constant pressure (J/kg/K). ! KARMAN = Von Karman's constant. real R, CP, KARMAN,KARMAN_SQ parameter (R=287.05, CP=1005.0, KARMAN=0.4, KARMAN_SQ=0.16 ) AS1 = 2*HCON_SOIL/DZ_SOIL !---------------------------------------------------------------------- ! Calculate the surface air density (use atmospheric rather than ! surface temperature). !---------------------------------------------------------------------- do I=1,LAND_PTS L = LAND_INDEX(I) RHOSTAR(L) = PSTAR(L)/(R*T1(L)) enddo !---------------------------------------------------------------------- ! Calculate the saturated specific humidity, its gradient w.r.t. ! temperature, and the humidity deficit. !---------------------------------------------------------------------- call QSAT (POINTS, LAND_PTS, LAND_INDEX, EPSILON, ZERODEGC &, QS1, T1, PSTAR) !CDIR NODEP do I=1,LAND_PTS L = LAND_INDEX(I) if (LYING_SNOW(L) .le. 50.) then LAT(L) = LC else LAT(L) = LC + LF endif DQS_DT(L) = (EPSILON*LAT(L)*QS1(L))/(R*T1(L)*T1(L)) DQ1(L) = QS1(L) - Q1(L) !----------------------------------------------------------------------- ! Calculate available energy when the surface temperature is equal to ! the atmospheric temperature (AHAT). !----------------------------------------------------------------------- AHAT(L) = SWN(L) + LW(L) - SIGMA*T1(L)*T1(L)*T1(L)*T1(L) & - AS1*(T1(L)-TS1(L)) !----------------------------------------------------------------------- ! Calculate the neutral bulk transfer coefficient and aerodynamic ! resistance. !----------------------------------------------------------------------- ZETAM = LOG((Z1 + Z0(L)) / Z0(L)) ZETAH = LOG((Z1 + Z0(L)) / (0.1*Z0(L))) CHN = KARMAN_SQ / (ZETAH * ZETAM) RA(L) = 1.0 / (CHN * WIND(L)) !---------------------------------------------------------------------- ! Calculate the evaporation rate and diagnose the surface temperature. !---------------------------------------------------------------------- RESF = 1.0/(1.0+RS(L)/RA(L)) DUM = RHOSTAR(L)*CP/RA(L) + 4*SIGMA*T1(L)**3 + AS1 NUMER = (DQS_DT(L)*AHAT(L) + DUM*DQ1(L)) * RESF DENOM = RESF*LAT(L)*DQS_DT(L) + RA(L)*DUM/RHOSTAR(L) E(L) = NUMER / DENOM if (MNEG(L).lt.0.) E(L) = amin1(E(L),0.) LE(L) = LAT(L) * E(L) TSTAR(L) = T1(L) + & (AHAT(L) - LAT(L)*RHOSTAR(L)*DQ1(L)*RESF/RA(L)) & /(DUM + DQS_DT(L)*LAT(L)*RHOSTAR(L)*RESF/RA(L)) SH(L) = RHOSTAR(L)*CP/RA(L)*(TSTAR(L)-T1(L)) LW_OUT(L) = LW(L) - SIGMA*TSTAR(L)*TSTAR(L)*TSTAR(L)*TSTAR(L) RADNET(L) = SWN(L) + LW_OUT(L) G(L) = RADNET(L) - LE(L) - SH(L) enddo return end