1 |
|
module soil_m |
2 |
|
|
|
! $Header: /home/cvsroot/LMDZ4/libf/phylmd/soil.F,v 1.1.1.1 2004/05/19 |
|
|
! 12:53:09 lmdzadmin Exp $ |
|
|
|
|
|
SUBROUTINE soil(ptimestep, indice, knon, snow, ptsrf, ptsoil, pcapcal, & |
|
|
pfluxgrd) |
|
|
USE dimens_m |
|
|
USE indicesol |
|
|
USE dimphy |
|
|
USE dimsoil |
|
|
USE suphec_m |
|
3 |
IMPLICIT NONE |
IMPLICIT NONE |
4 |
|
|
5 |
! ======================================================================= |
contains |
6 |
|
|
7 |
! Auteur: Frederic Hourdin 30/01/92 |
SUBROUTINE soil(dtime, nisurf, snow, tsurf, tsoil, soilcap, soilflux) |
|
! ------- |
|
8 |
|
|
9 |
! objet: computation of : the soil temperature evolution |
! From LMDZ4/libf/phylmd/soil.F, version 1.1.1.1, 2004/05/19 |
|
! ------ the surfacic heat capacity "Capcal" |
|
|
! the surface conduction flux pcapcal |
|
|
|
|
|
|
|
|
! Method: implicit time integration |
|
|
! ------- |
|
|
! Consecutive ground temperatures are related by: |
|
|
! T(k+1) = C(k) + D(k)*T(k) (1) |
|
|
! the coefficients C and D are computed at the t-dt time-step. |
|
|
! Routine structure: |
|
|
! 1)new temperatures are computed using (1) |
|
|
! 2)C and D coefficients are computed from the new temperature |
|
|
! profile for the t+dt time-step |
|
|
! 3)the coefficients A and B are computed where the diffusive |
|
|
! fluxes at the t+dt time-step is given by |
|
|
! Fdiff = A + B Ts(t+dt) |
|
|
! or Fdiff = F0 + Capcal (Ts(t+dt)-Ts(t))/dt |
|
|
! with F0 = A + B (Ts(t)) |
|
|
! Capcal = B*dt |
|
|
|
|
|
! Interface: |
|
|
! ---------- |
|
|
|
|
|
! Arguments: |
|
|
! ---------- |
|
|
! ptimestep physical timestep (s) |
|
|
! indice sub-surface index |
|
|
! snow(klon,nbsrf) snow |
|
|
! ptsrf(klon) surface temperature at time-step t (K) |
|
|
! ptsoil(klon,nsoilmx) temperature inside the ground (K) |
|
|
! pcapcal(klon) surfacic specific heat (W*m-2*s*K-1) |
|
|
! pfluxgrd(klon) surface diffusive flux from ground (Wm-2) |
|
|
|
|
|
! ======================================================================= |
|
|
! declarations: |
|
|
! ------------- |
|
|
|
|
|
|
|
|
! ----------------------------------------------------------------------- |
|
|
! arguments |
|
|
! --------- |
|
|
|
|
|
REAL ptimestep |
|
|
INTEGER indice, knon |
|
|
REAL ptsrf(klon), ptsoil(klon, nsoilmx), snow(klon) |
|
|
REAL pcapcal(klon), pfluxgrd(klon) |
|
|
|
|
|
! ----------------------------------------------------------------------- |
|
|
! local arrays |
|
|
! ------------ |
|
|
|
|
|
INTEGER ig, jk |
|
|
! $$$ REAL zdz2(nsoilmx),z1(klon) |
|
|
REAL zdz2(nsoilmx), z1(klon, nbsrf) |
|
|
REAL min_period, dalph_soil |
|
|
REAL ztherm_i(klon) |
|
|
|
|
|
! local saved variables: |
|
|
! ---------------------- |
|
|
REAL dz1(nsoilmx), dz2(nsoilmx) |
|
|
! $$$ REAL zc(klon,nsoilmx),zd(klon,nsoilmx) |
|
|
REAL zc(klon, nsoilmx, nbsrf), zd(klon, nsoilmx, nbsrf) |
|
|
REAL lambda |
|
|
SAVE dz1, dz2, zc, zd, lambda |
|
|
LOGICAL firstcall, firstsurf(nbsrf) |
|
|
SAVE firstcall, firstsurf |
|
|
REAL isol, isno, iice |
|
|
SAVE isol, isno, iice |
|
|
|
|
|
DATA firstcall/.TRUE./ |
|
|
DATA firstsurf/.TRUE., .TRUE., .TRUE., .TRUE./ |
|
|
|
|
|
DATA isol, isno, iice/2000., 2000., 2000./ |
|
|
|
|
|
! ----------------------------------------------------------------------- |
|
|
! Depthts: |
|
|
! -------- |
|
|
|
|
|
REAL fz, rk, fz1, rk1, rk2 |
|
|
|
|
|
fz(rk) = fz1*(dalph_soil**rk-1.)/(dalph_soil-1.) |
|
|
pfluxgrd(:) = 0. |
|
|
! calcul de l'inertie thermique a partir de la variable rnat. |
|
|
! on initialise a iice meme au-dessus d'un point de mer au cas |
|
|
! ou le point de mer devienne point de glace au pas suivant |
|
|
! on corrige si on a un point de terre avec ou sans glace |
|
10 |
|
|
11 |
IF (indice==is_sic) THEN |
! Author: Frederic Hourdin, January 30th, 1992 |
|
DO ig = 1, knon |
|
|
ztherm_i(ig) = iice |
|
|
IF (snow(ig)>0.0) ztherm_i(ig) = isno |
|
|
END DO |
|
|
ELSE IF (indice==is_lic) THEN |
|
|
DO ig = 1, knon |
|
|
ztherm_i(ig) = iice |
|
|
IF (snow(ig)>0.0) ztherm_i(ig) = isno |
|
|
END DO |
|
|
ELSE IF (indice==is_ter) THEN |
|
|
DO ig = 1, knon |
|
|
ztherm_i(ig) = isol |
|
|
IF (snow(ig)>0.0) ztherm_i(ig) = isno |
|
|
END DO |
|
|
ELSE IF (indice==is_oce) THEN |
|
|
DO ig = 1, knon |
|
|
ztherm_i(ig) = iice |
|
|
END DO |
|
|
ELSE |
|
|
PRINT *, 'valeur d indice non prevue', indice |
|
|
STOP 1 |
|
|
END IF |
|
|
|
|
|
|
|
|
! $$$ IF (firstcall) THEN |
|
|
IF (firstsurf(indice)) THEN |
|
|
|
|
|
! ----------------------------------------------------------------------- |
|
|
! ground levels |
|
|
! grnd=z/l where l is the skin depth of the diurnal cycle: |
|
|
! -------------------------------------------------------- |
|
|
|
|
|
min_period = 1800. ! en secondes |
|
|
dalph_soil = 2. ! rapport entre les epaisseurs de 2 couches succ. |
|
|
|
|
|
OPEN (99, FILE='soil.def', STATUS='old', FORM='formatted', ERR=9999) |
|
|
READ (99, *) min_period |
|
|
READ (99, *) dalph_soil |
|
|
PRINT *, 'Discretization for the soil model' |
|
|
PRINT *, 'First level e-folding depth', min_period, ' dalph', & |
|
|
dalph_soil |
|
|
CLOSE (99) |
|
|
9999 CONTINUE |
|
12 |
|
|
13 |
! la premiere couche represente un dixieme de cycle diurne |
! Object: computation of the soil temperature evolution, the heat |
14 |
fz1 = sqrt(min_period/3.14) |
! capacity per unit surface and the surface conduction flux |
15 |
|
|
16 |
|
! Method: implicit time integration |
17 |
|
|
18 |
|
! Consecutive ground temperatures are related by: |
19 |
|
! T(k + 1) = C(k) + D(k) * T(k) (1) |
20 |
|
! The coefficients C and D are computed at the t - dt time-step. |
21 |
|
! Structure of the procedure: |
22 |
|
! 1) new temperatures are computed using (1) |
23 |
|
! 2) C and D coefficients are computed from the new temperature |
24 |
|
! profile for the t + dt time-step |
25 |
|
! 3) the coefficients A and B are computed where the diffusive |
26 |
|
! fluxes at the t + dt time-step is given by |
27 |
|
! Fdiff = A + B Ts(t + dt) |
28 |
|
! or |
29 |
|
! Fdiff = F0 + Soilcap (Ts(t + dt) - Ts(t)) / dt |
30 |
|
! with |
31 |
|
! F0 = A + B (Ts(t)) |
32 |
|
! Soilcap = B * dt |
33 |
|
|
34 |
|
USE indicesol, only: nbsrf, is_lic, is_oce, is_sic, is_ter |
35 |
|
USE dimphy, only: klon |
36 |
|
USE dimsoil, only: nsoilmx |
37 |
|
USE suphec_m, only: rtt |
38 |
|
|
39 |
|
REAL, intent(in):: dtime ! physical timestep (s) |
40 |
|
INTEGER, intent(in):: nisurf ! sub-surface index |
41 |
|
REAL, intent(in):: snow(:) ! (knon) |
42 |
|
REAL, intent(in):: tsurf(:) ! (knon) surface temperature at time-step t (K) |
43 |
|
|
44 |
|
real, intent(inout):: tsoil(:, :) ! (knon, nsoilmx) |
45 |
|
! temperature inside the ground (K) |
46 |
|
|
47 |
|
REAL, intent(out):: soilcap(:) ! (knon) |
48 |
|
! specific heat per unit surface (W m-2 s K-1) |
49 |
|
|
50 |
|
REAL, intent(out):: soilflux(:) ! (knon) |
51 |
|
! surface diffusive flux from ground (W m-2) |
52 |
|
|
53 |
|
! Local: |
54 |
|
|
55 |
|
INTEGER knon, ig, jk |
56 |
|
REAL zdz2(nsoilmx) |
57 |
|
real z1(size(tsurf), nbsrf) ! (knon, nbsrf) |
58 |
|
REAL min_period, dalph_soil |
59 |
|
REAL ztherm_i(size(tsurf)) ! (knon) |
60 |
|
REAL, save:: dz1(nsoilmx), dz2(nsoilmx) |
61 |
|
REAL, save:: zc(klon, nsoilmx, nbsrf), zd(klon, nsoilmx, nbsrf) |
62 |
|
REAL, save:: lambda |
63 |
|
LOGICAL:: firstsurf(nbsrf) = .TRUE. |
64 |
|
REAL:: isol = 2000., isno = 2000., iice = 2000. |
65 |
|
|
66 |
|
! Depths: |
67 |
|
REAL rk, fz1, rk1, rk2 |
68 |
|
|
69 |
|
!----------------------------------------------------------------------- |
70 |
|
|
71 |
|
knon = size(tsurf) |
72 |
|
|
73 |
|
! Calcul de l'inertie thermique. On initialise \`a iice m\^eme |
74 |
|
! au-dessus d'un point de mer au cas o\`u le point de mer devienne |
75 |
|
! point de glace au pas suivant. On corrige si on a un point de |
76 |
|
! terre avec ou sans glace. |
77 |
|
|
78 |
|
IF (nisurf==is_sic) THEN |
79 |
|
DO ig = 1, knon |
80 |
|
ztherm_i(ig) = iice |
81 |
|
IF (snow(ig) > 0.0) ztherm_i(ig) = isno |
82 |
|
END DO |
83 |
|
ELSE IF (nisurf==is_lic) THEN |
84 |
|
DO ig = 1, knon |
85 |
|
ztherm_i(ig) = iice |
86 |
|
IF (snow(ig) > 0.0) ztherm_i(ig) = isno |
87 |
|
END DO |
88 |
|
ELSE IF (nisurf==is_ter) THEN |
89 |
|
DO ig = 1, knon |
90 |
|
ztherm_i(ig) = isol |
91 |
|
IF (snow(ig) > 0.0) ztherm_i(ig) = isno |
92 |
|
END DO |
93 |
|
ELSE IF (nisurf==is_oce) THEN |
94 |
|
DO ig = 1, knon |
95 |
|
ztherm_i(ig) = iice |
96 |
|
END DO |
97 |
|
ELSE |
98 |
|
PRINT *, 'valeur d indice non prevue', nisurf |
99 |
|
STOP 1 |
100 |
|
END IF |
101 |
|
|
102 |
|
IF (firstsurf(nisurf)) THEN |
103 |
|
! ground levels |
104 |
|
! grnd=z / l where l is the skin depth of the diurnal cycle: |
105 |
|
|
106 |
|
min_period = 1800. ! en secondes |
107 |
|
dalph_soil = 2. ! rapport entre les epaisseurs de 2 couches succ. |
108 |
|
|
109 |
|
OPEN(99, FILE='soil.def', STATUS='old', FORM='formatted', ERR=9999) |
110 |
|
READ(99, *) min_period |
111 |
|
READ(99, *) dalph_soil |
112 |
|
PRINT *, 'Discretization for the soil model' |
113 |
|
PRINT *, 'First level e-folding depth', min_period, ' dalph', & |
114 |
|
dalph_soil |
115 |
|
CLOSE(99) |
116 |
|
9999 CONTINUE |
117 |
|
|
118 |
|
! la premiere couche represente un dixieme de cycle diurne |
119 |
|
fz1 = sqrt(min_period / 3.14) |
120 |
|
|
121 |
|
DO jk = 1, nsoilmx |
122 |
|
rk1 = jk |
123 |
|
rk2 = jk - 1 |
124 |
|
dz2(jk) = fz(rk1) - fz(rk2) |
125 |
|
END DO |
126 |
|
DO jk = 1, nsoilmx - 1 |
127 |
|
rk1 = jk + .5 |
128 |
|
rk2 = jk - .5 |
129 |
|
dz1(jk) = 1. / (fz(rk1) - fz(rk2)) |
130 |
|
END DO |
131 |
|
lambda = fz(.5) * dz1(1) |
132 |
|
PRINT *, 'full layers, intermediate layers (seconds)' |
133 |
|
DO jk = 1, nsoilmx |
134 |
|
rk = jk |
135 |
|
rk1 = jk + .5 |
136 |
|
rk2 = jk - .5 |
137 |
|
PRINT *, 'fz=', fz(rk1) * fz(rk2) * 3.14, fz(rk) * fz(rk) * 3.14 |
138 |
|
END DO |
139 |
|
! PB |
140 |
|
firstsurf(nisurf) = .FALSE. |
141 |
|
ELSE |
142 |
|
! Computation of the soil temperatures using the Cgrd and Dgrd |
143 |
|
! coefficient computed at the previous time-step: |
144 |
|
|
145 |
|
! surface temperature |
146 |
|
DO ig = 1, knon |
147 |
|
tsoil(ig, 1) = (lambda * zc(ig, 1, nisurf) + tsurf(ig)) & |
148 |
|
/ (lambda * (1. - zd(ig, 1, nisurf)) + 1.) |
149 |
|
END DO |
150 |
|
|
151 |
|
! other temperatures |
152 |
|
DO jk = 1, nsoilmx - 1 |
153 |
|
DO ig = 1, knon |
154 |
|
tsoil(ig, jk + 1) = zc(ig, jk, nisurf) & |
155 |
|
+ zd(ig, jk, nisurf) * tsoil(ig, jk) |
156 |
|
END DO |
157 |
|
END DO |
158 |
|
END IF |
159 |
|
|
160 |
|
! Computation of the Cgrd and Dgrd coefficient for the next step: |
161 |
|
|
162 |
|
IF (nisurf==is_sic) THEN |
163 |
|
DO ig = 1, knon |
164 |
|
tsoil(ig, nsoilmx) = rtt - 1.8 |
165 |
|
END DO |
166 |
|
END IF |
167 |
|
|
168 |
DO jk = 1, nsoilmx |
DO jk = 1, nsoilmx |
169 |
rk1 = jk |
zdz2(jk) = dz2(jk) / dtime |
|
rk2 = jk - 1 |
|
|
dz2(jk) = fz(rk1) - fz(rk2) |
|
170 |
END DO |
END DO |
|
DO jk = 1, nsoilmx - 1 |
|
|
rk1 = jk + .5 |
|
|
rk2 = jk - .5 |
|
|
dz1(jk) = 1./(fz(rk1)-fz(rk2)) |
|
|
END DO |
|
|
lambda = fz(.5)*dz1(1) |
|
|
PRINT *, 'full layers, intermediate layers (seconds)' |
|
|
DO jk = 1, nsoilmx |
|
|
rk = jk |
|
|
rk1 = jk + .5 |
|
|
rk2 = jk - .5 |
|
|
PRINT *, 'fz=', fz(rk1)*fz(rk2)*3.14, fz(rk)*fz(rk)*3.14 |
|
|
END DO |
|
|
! PB |
|
|
firstsurf(indice) = .FALSE. |
|
|
! $$$ firstcall =.false. |
|
|
|
|
|
! Initialisations: |
|
|
! ---------------- |
|
|
|
|
|
ELSE !--not firstcall |
|
|
! ----------------------------------------------------------------------- |
|
|
! Computation of the soil temperatures using the Cgrd and Dgrd |
|
|
! coefficient computed at the previous time-step: |
|
|
! ----------------------------------------------- |
|
171 |
|
|
|
! surface temperature |
|
172 |
DO ig = 1, knon |
DO ig = 1, knon |
173 |
ptsoil(ig, 1) = (lambda*zc(ig,1,indice)+ptsrf(ig))/(lambda*(1.-zd(ig,1, & |
z1(ig, nisurf) = zdz2(nsoilmx) + dz1(nsoilmx - 1) |
174 |
indice))+1.) |
zc(ig, nsoilmx - 1, nisurf) = zdz2(nsoilmx) * tsoil(ig, nsoilmx) / & |
175 |
|
z1(ig, nisurf) |
176 |
|
zd(ig, nsoilmx - 1, nisurf) = dz1(nsoilmx - 1) / z1(ig, nisurf) |
177 |
END DO |
END DO |
178 |
|
|
179 |
! other temperatures |
DO jk = nsoilmx - 1, 2, - 1 |
180 |
DO jk = 1, nsoilmx - 1 |
DO ig = 1, knon |
181 |
DO ig = 1, knon |
z1(ig, nisurf) = 1. / (zdz2(jk) + dz1(jk - 1) & |
182 |
ptsoil(ig, jk+1) = zc(ig, jk, indice) + zd(ig, jk, indice)*ptsoil(ig, & |
+ dz1(jk) * (1. - zd(ig, jk, nisurf))) |
183 |
jk) |
zc(ig, jk - 1, nisurf) = (tsoil(ig, jk) * zdz2(jk) & |
184 |
END DO |
+ dz1(jk) * zc(ig, jk, nisurf)) * z1(ig, nisurf) |
185 |
|
zd(ig, jk - 1, nisurf) = dz1(jk - 1) * z1(ig, nisurf) |
186 |
|
END DO |
187 |
END DO |
END DO |
188 |
|
|
189 |
END IF !--not firstcall |
! computation of the surface diffusive flux from ground and |
190 |
! ----------------------------------------------------------------------- |
! calorific capacity of the ground: |
|
! Computation of the Cgrd and Dgrd coefficient for the next step: |
|
|
! --------------------------------------------------------------- |
|
191 |
|
|
|
! $$$ PB ajout pour cas glace de mer |
|
|
IF (indice==is_sic) THEN |
|
192 |
DO ig = 1, knon |
DO ig = 1, knon |
193 |
ptsoil(ig, nsoilmx) = rtt - 1.8 |
soilflux(ig) = ztherm_i(ig) * dz1(1) * (zc(ig, 1, nisurf) + (zd(ig, 1, & |
194 |
|
nisurf) - 1.) * tsoil(ig, 1)) |
195 |
|
soilcap(ig) = ztherm_i(ig) * (dz2(1) & |
196 |
|
+ dtime * (1. - zd(ig, 1, nisurf)) * dz1(1)) |
197 |
|
z1(ig, nisurf) = lambda * (1. - zd(ig, 1, nisurf)) + 1. |
198 |
|
soilcap(ig) = soilcap(ig) / z1(ig, nisurf) |
199 |
|
soilflux(ig) = soilflux(ig) + soilcap(ig) * (tsoil(ig, 1) & |
200 |
|
* z1(ig, nisurf) - lambda * zc(ig, 1, nisurf) - tsurf(ig)) / dtime |
201 |
END DO |
END DO |
|
END IF |
|
202 |
|
|
203 |
DO jk = 1, nsoilmx |
contains |
|
zdz2(jk) = dz2(jk)/ptimestep |
|
|
END DO |
|
|
|
|
|
DO ig = 1, knon |
|
|
z1(ig, indice) = zdz2(nsoilmx) + dz1(nsoilmx-1) |
|
|
zc(ig, nsoilmx-1, indice) = zdz2(nsoilmx)*ptsoil(ig, nsoilmx)/ & |
|
|
z1(ig, indice) |
|
|
zd(ig, nsoilmx-1, indice) = dz1(nsoilmx-1)/z1(ig, indice) |
|
|
END DO |
|
204 |
|
|
205 |
DO jk = nsoilmx - 1, 2, -1 |
pure real function fz(rk) |
206 |
DO ig = 1, knon |
|
207 |
z1(ig, indice) = 1./(zdz2(jk)+dz1(jk-1)+dz1(jk)*(1.-zd(ig,jk,indice))) |
real, intent(in):: rk |
208 |
zc(ig, jk-1, indice) = (ptsoil(ig,jk)*zdz2(jk)+dz1(jk)*zc(ig,jk,indice) & |
|
209 |
)*z1(ig, indice) |
!----------------------------------------- |
210 |
zd(ig, jk-1, indice) = dz1(jk-1)*z1(ig, indice) |
|
211 |
END DO |
fz = fz1 * (dalph_soil**rk - 1.) / (dalph_soil - 1.) |
212 |
END DO |
|
213 |
|
end function fz |
214 |
|
|
215 |
! ----------------------------------------------------------------------- |
END SUBROUTINE soil |
|
! computation of the surface diffusive flux from ground and |
|
|
! calorific capacity of the ground: |
|
|
! --------------------------------- |
|
|
|
|
|
DO ig = 1, knon |
|
|
pfluxgrd(ig) = ztherm_i(ig)*dz1(1)*(zc(ig,1,indice)+(zd(ig,1, & |
|
|
indice)-1.)*ptsoil(ig,1)) |
|
|
pcapcal(ig) = ztherm_i(ig)*(dz2(1)+ptimestep*(1.-zd(ig,1,indice))*dz1(1)) |
|
|
z1(ig, indice) = lambda*(1.-zd(ig,1,indice)) + 1. |
|
|
pcapcal(ig) = pcapcal(ig)/z1(ig, indice) |
|
|
pfluxgrd(ig) = pfluxgrd(ig) + pcapcal(ig)*(ptsoil(ig,1)*z1(ig,indice)- & |
|
|
lambda*zc(ig,1,indice)-ptsrf(ig))/ptimestep |
|
|
END DO |
|
216 |
|
|
217 |
RETURN |
end module soil_m |
|
END SUBROUTINE soil |
|