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module soil_m |
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IMPLICIT NONE |
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contains |
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SUBROUTINE soil(dtime, nisurf, snow, tsurf, tsoil, soilcap, soilflux) |
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! From LMDZ4/libf/phylmd/soil.F, version 1.1.1.1, 2004/05/19 |
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! Author: Frederic Hourdin, January 30th, 1992 |
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|
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! Object: computation of the soil temperature evolution, the heat |
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! capacity per unit surface and the surface conduction flux |
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|
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! Method: implicit time integration |
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|
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! Consecutive ground temperatures are related by: |
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! T(k + 1) = C(k) + D(k) * T(k) (1) |
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! The coefficients C and D are computed at the t - dt time-step. |
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! Structure of the procedure: |
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! 1) new temperatures are computed using (1) |
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! 2) C and D coefficients are computed from the new temperature |
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! profile for the t + dt time-step |
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! 3) the coefficients A and B are computed where the diffusive |
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! fluxes at the t + dt time-step is given by |
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! Fdiff = A + B Ts(t + dt) |
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! or |
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! Fdiff = F0 + Soilcap (Ts(t + dt) - Ts(t)) / dt |
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! with |
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! F0 = A + B (Ts(t)) |
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! Soilcap = B * dt |
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|
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USE indicesol, only: nbsrf, is_lic, is_oce, is_sic, is_ter |
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USE dimphy, only: klon |
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USE dimsoil, only: nsoilmx |
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USE suphec_m, only: rtt |
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|
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REAL, intent(in):: dtime ! physical timestep (s) |
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INTEGER, intent(in):: nisurf ! sub-surface index |
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REAL, intent(in):: snow(:) ! (knon) |
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REAL, intent(in):: tsurf(:) ! (knon) surface temperature at time-step t (K) |
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|
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real, intent(inout):: tsoil(:, :) ! (knon, nsoilmx) |
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! temperature inside the ground (K) |
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|
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REAL, intent(out):: soilcap(:) ! (knon) |
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! specific heat per unit surface (W m-2 s K-1) |
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|
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REAL, intent(out):: soilflux(:) ! (knon) |
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! surface diffusive flux from ground (W m-2) |
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|
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! Local: |
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|
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INTEGER knon, ig, jk |
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REAL zdz2(nsoilmx) |
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real z1(size(tsurf), nbsrf) ! (knon, nbsrf) |
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REAL min_period, dalph_soil |
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REAL ztherm_i(size(tsurf)) ! (knon) |
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REAL, save:: dz1(nsoilmx), dz2(nsoilmx) |
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REAL, save:: zc(klon, nsoilmx, nbsrf), zd(klon, nsoilmx, nbsrf) |
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REAL, save:: lambda |
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LOGICAL:: firstsurf(nbsrf) = .TRUE. |
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REAL:: isol = 2000., isno = 2000., iice = 2000. |
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|
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! Depths: |
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REAL rk, fz1, rk1, rk2 |
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|
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!----------------------------------------------------------------------- |
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|
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knon = size(tsurf) |
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|
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! Calcul de l'inertie thermique. On initialise \`a iice m\^eme |
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! au-dessus d'un point de mer au cas o\`u le point de mer devienne |
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! point de glace au pas suivant. On corrige si on a un point de |
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! terre avec ou sans glace. |
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|
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IF (nisurf==is_sic) THEN |
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DO ig = 1, knon |
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ztherm_i(ig) = iice |
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IF (snow(ig) > 0.0) ztherm_i(ig) = isno |
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END DO |
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ELSE IF (nisurf==is_lic) THEN |
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DO ig = 1, knon |
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ztherm_i(ig) = iice |
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IF (snow(ig) > 0.0) ztherm_i(ig) = isno |
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END DO |
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ELSE IF (nisurf==is_ter) THEN |
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DO ig = 1, knon |
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ztherm_i(ig) = isol |
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IF (snow(ig) > 0.0) ztherm_i(ig) = isno |
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END DO |
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ELSE IF (nisurf==is_oce) THEN |
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DO ig = 1, knon |
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ztherm_i(ig) = iice |
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END DO |
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ELSE |
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PRINT *, 'valeur d indice non prevue', nisurf |
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STOP 1 |
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END IF |
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|
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IF (firstsurf(nisurf)) THEN |
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! ground levels |
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! grnd=z / l where l is the skin depth of the diurnal cycle: |
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|
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min_period = 1800. ! en secondes |
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dalph_soil = 2. ! rapport entre les epaisseurs de 2 couches succ. |
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|
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OPEN(99, FILE='soil.def', STATUS='old', FORM='formatted', ERR=9999) |
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READ(99, *) min_period |
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READ(99, *) dalph_soil |
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PRINT *, 'Discretization for the soil model' |
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PRINT *, 'First level e-folding depth', min_period, ' dalph', & |
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dalph_soil |
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CLOSE(99) |
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9999 CONTINUE |
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|
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! la premiere couche represente un dixieme de cycle diurne |
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fz1 = sqrt(min_period / 3.14) |
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DO jk = 1, nsoilmx |
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rk1 = jk |
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rk2 = jk - 1 |
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dz2(jk) = fz(rk1) - fz(rk2) |
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END DO |
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DO jk = 1, nsoilmx - 1 |
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rk1 = jk + .5 |
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rk2 = jk - .5 |
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dz1(jk) = 1. / (fz(rk1) - fz(rk2)) |
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END DO |
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lambda = fz(.5) * dz1(1) |
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PRINT *, 'full layers, intermediate layers (seconds)' |
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DO jk = 1, nsoilmx |
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rk = jk |
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rk1 = jk + .5 |
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rk2 = jk - .5 |
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PRINT *, 'fz=', fz(rk1) * fz(rk2) * 3.14, fz(rk) * fz(rk) * 3.14 |
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END DO |
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! PB |
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firstsurf(nisurf) = .FALSE. |
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ELSE |
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! Computation of the soil temperatures using the Cgrd and Dgrd |
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! coefficient computed at the previous time-step: |
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|
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! surface temperature |
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DO ig = 1, knon |
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tsoil(ig, 1) = (lambda * zc(ig, 1, nisurf) + tsurf(ig)) & |
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/ (lambda * (1. - zd(ig, 1, nisurf)) + 1.) |
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END DO |
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|
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! other temperatures |
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DO jk = 1, nsoilmx - 1 |
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DO ig = 1, knon |
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tsoil(ig, jk + 1) = zc(ig, jk, nisurf) & |
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+ zd(ig, jk, nisurf) * tsoil(ig, jk) |
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END DO |
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END DO |
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END IF |
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! Computation of the Cgrd and Dgrd coefficient for the next step: |
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|
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IF (nisurf==is_sic) THEN |
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DO ig = 1, knon |
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tsoil(ig, nsoilmx) = rtt - 1.8 |
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END DO |
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END IF |
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|
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DO jk = 1, nsoilmx |
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zdz2(jk) = dz2(jk) / dtime |
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END DO |
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|
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DO ig = 1, knon |
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z1(ig, nisurf) = zdz2(nsoilmx) + dz1(nsoilmx - 1) |
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zc(ig, nsoilmx - 1, nisurf) = zdz2(nsoilmx) * tsoil(ig, nsoilmx) / & |
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z1(ig, nisurf) |
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zd(ig, nsoilmx - 1, nisurf) = dz1(nsoilmx - 1) / z1(ig, nisurf) |
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END DO |
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|
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DO jk = nsoilmx - 1, 2, - 1 |
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DO ig = 1, knon |
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z1(ig, nisurf) = 1. / (zdz2(jk) + dz1(jk - 1) & |
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+ dz1(jk) * (1. - zd(ig, jk, nisurf))) |
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zc(ig, jk - 1, nisurf) = (tsoil(ig, jk) * zdz2(jk) & |
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+ dz1(jk) * zc(ig, jk, nisurf)) * z1(ig, nisurf) |
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zd(ig, jk - 1, nisurf) = dz1(jk - 1) * z1(ig, nisurf) |
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END DO |
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END DO |
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|
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! computation of the surface diffusive flux from ground and |
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! calorific capacity of the ground: |
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|
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DO ig = 1, knon |
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soilflux(ig) = ztherm_i(ig) * dz1(1) * (zc(ig, 1, nisurf) + (zd(ig, 1, & |
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nisurf) - 1.) * tsoil(ig, 1)) |
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soilcap(ig) = ztherm_i(ig) * (dz2(1) & |
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+ dtime * (1. - zd(ig, 1, nisurf)) * dz1(1)) |
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z1(ig, nisurf) = lambda * (1. - zd(ig, 1, nisurf)) + 1. |
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soilcap(ig) = soilcap(ig) / z1(ig, nisurf) |
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soilflux(ig) = soilflux(ig) + soilcap(ig) * (tsoil(ig, 1) & |
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* z1(ig, nisurf) - lambda * zc(ig, 1, nisurf) - tsurf(ig)) / dtime |
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END DO |
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|
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contains |
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|
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pure real function fz(rk) |
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real, intent(in):: rk |
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!----------------------------------------- |
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fz = fz1 * (dalph_soil**rk - 1.) / (dalph_soil - 1.) |
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end function fz |
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|
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END SUBROUTINE soil |
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end module soil_m |
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