| 1 | SUBROUTINE pbl_parameters(ngrid,nlay,ps,pplay,pz0, |
|---|
| 2 | & pg,zzlay,zzlev,pu,pv,wstar_in,hfmax,zmax,pts,ph,z_out,n_out, |
|---|
| 3 | & T_out,u_out,ustar,tstar,L_mo,vhf,vvv) |
|---|
| 4 | IMPLICIT NONE |
|---|
| 5 | !======================================================================= |
|---|
| 6 | ! |
|---|
| 7 | ! Anlysis of the PBL from input temperature, wind field and thermals outputs. |
|---|
| 8 | ! |
|---|
| 9 | ! ------- |
|---|
| 10 | ! |
|---|
| 11 | ! Author: Arnaud Colaitis 09/01/12 |
|---|
| 12 | ! ------- |
|---|
| 13 | ! |
|---|
| 14 | ! Arguments: |
|---|
| 15 | ! ---------- |
|---|
| 16 | ! |
|---|
| 17 | ! inputs: |
|---|
| 18 | ! ------ |
|---|
| 19 | ! ngrid size of the horizontal grid |
|---|
| 20 | ! nlay size of the vertical grid |
|---|
| 21 | ! pz0(ngrid) surface roughness length |
|---|
| 22 | ! pg gravity (m s -2) |
|---|
| 23 | ! zzlay(ngrid,nlay) height of mid-layers |
|---|
| 24 | ! zzlev(ngrid,nlay+1) height of layers interfaces |
|---|
| 25 | ! pu(ngrid,nlay) u component of the wind |
|---|
| 26 | ! pv(ngrid,nlay) v component of the wind |
|---|
| 27 | ! wstar_in(ngrid) free convection velocity in PBL |
|---|
| 28 | ! hfmax(ngrid) maximum vertical turbulent heat flux in thermals |
|---|
| 29 | ! zmax(ngrid) height reached by the thermals (pbl height) |
|---|
| 30 | ! pts(ngrid) surface temperature |
|---|
| 31 | ! ph(ngrid,nlay) potential temperature T*(p/ps)^kappa |
|---|
| 32 | ! z_out(n_out) heights of interpolation |
|---|
| 33 | ! n_out number of points for interpolation |
|---|
| 34 | ! |
|---|
| 35 | ! outputs: |
|---|
| 36 | ! ------ |
|---|
| 37 | ! |
|---|
| 38 | ! Teta_out(ngrid,n_out) interpolated teta |
|---|
| 39 | ! u_out(ngrid,n_out) interpolated u |
|---|
| 40 | ! ustar(ngrid) friction velocity |
|---|
| 41 | ! tstar(ngrid) friction temperature |
|---|
| 42 | ! L_mo(ngrid) monin_obukhov length |
|---|
| 43 | ! |
|---|
| 44 | ! |
|---|
| 45 | !======================================================================= |
|---|
| 46 | ! |
|---|
| 47 | !----------------------------------------------------------------------- |
|---|
| 48 | ! Declarations: |
|---|
| 49 | ! ------------- |
|---|
| 50 | |
|---|
| 51 | #include "comcstfi.h" |
|---|
| 52 | #include "callkeys.h" |
|---|
| 53 | |
|---|
| 54 | ! Arguments: |
|---|
| 55 | ! ---------- |
|---|
| 56 | |
|---|
| 57 | INTEGER, INTENT(IN) :: ngrid,nlay,n_out |
|---|
| 58 | REAL, INTENT(IN) :: pz0(ngrid),ps(ngrid),pplay(ngrid,nlay) |
|---|
| 59 | REAL, INTENT(IN) :: pg,zzlay(ngrid,nlay),zzlev(ngrid,nlay) |
|---|
| 60 | REAL, INTENT(IN) :: pu(ngrid,nlay),pv(ngrid,nlay) |
|---|
| 61 | REAL, INTENT(IN) :: wstar_in(ngrid),hfmax(ngrid),zmax(ngrid) |
|---|
| 62 | REAL, INTENT(IN) :: pts(ngrid),ph(ngrid,nlay) |
|---|
| 63 | REAL, INTENT(IN) :: z_out(n_out) |
|---|
| 64 | |
|---|
| 65 | ! Outputs: |
|---|
| 66 | ! -------- |
|---|
| 67 | |
|---|
| 68 | REAL, INTENT(OUT) :: T_out(ngrid,n_out),u_out(ngrid,n_out) |
|---|
| 69 | REAL Teta_out(ngrid,n_out) |
|---|
| 70 | REAL, INTENT(OUT) :: ustar(ngrid), tstar(ngrid) |
|---|
| 71 | REAL, INTENT(OUT) :: L_mo(ngrid) |
|---|
| 72 | |
|---|
| 73 | ! Local: |
|---|
| 74 | ! ------ |
|---|
| 75 | |
|---|
| 76 | INTEGER ig,k,n |
|---|
| 77 | REAL karman,nu |
|---|
| 78 | DATA karman,nu/.41,0.001/ |
|---|
| 79 | SAVE karman,nu |
|---|
| 80 | |
|---|
| 81 | ! Local(2): |
|---|
| 82 | ! --------- |
|---|
| 83 | |
|---|
| 84 | REAL zout |
|---|
| 85 | REAL rib(ngrid) ! Bulk Richardson number |
|---|
| 86 | REAL fm(ngrid) ! stability function for momentum |
|---|
| 87 | REAL fh(ngrid) ! stability function for heat |
|---|
| 88 | REAL z1z0,z1z0t ! ratios z1/z0 and z1/z0T |
|---|
| 89 | ! phim = 1+betam*zeta or (1-bm*zeta)**am |
|---|
| 90 | ! phih = alphah + betah*zeta or alphah(1.-bh*zeta)**ah |
|---|
| 91 | REAL betam, betah, alphah, bm, bh, lambda |
|---|
| 92 | ! ah and am are assumed to be -0.25 and -0.5 respectively |
|---|
| 93 | REAL cdn(ngrid),chn(ngrid) ! neutral momentum and heat drag coefficient |
|---|
| 94 | REAL pz0t ! initial thermal roughness length. (local) |
|---|
| 95 | REAL ric ! critical richardson number |
|---|
| 96 | REAL reynolds(ngrid) ! reynolds number for UBL |
|---|
| 97 | REAL prandtl(ngrid) ! prandtl number for UBL |
|---|
| 98 | REAL pz0tcomp(ngrid) ! computed z0t |
|---|
| 99 | REAL ite |
|---|
| 100 | REAL residual,zcd0,z1 |
|---|
| 101 | REAL pcdv(ngrid),pcdh(ngrid) |
|---|
| 102 | REAL zu2(ngrid) ! Large-scale wind at first layer |
|---|
| 103 | REAL pbl_teta(ngrid) ! mixed-layer potential temperature |
|---|
| 104 | INTEGER pbl_height_index(ngrid) ! index of nearest vertical grid point for zmax |
|---|
| 105 | REAL dteta(ngrid,nlay),x(ngrid) ! potential temperature gradient and z/zi |
|---|
| 106 | REAL dvhf(ngrid),dvvv(ngrid) ! dimensionless vertical heat flux and |
|---|
| 107 | ! dimensionless vertical velocity variance |
|---|
| 108 | REAL vhf(ngrid),vvv(ngrid) ! vertical heat flux and vertical velocity variance |
|---|
| 109 | INTEGER ii(1) |
|---|
| 110 | ! temporary |
|---|
| 111 | INTEGER dimout |
|---|
| 112 | |
|---|
| 113 | !------------------------------------------------------------------------ |
|---|
| 114 | !------------------------------------------------------------------------ |
|---|
| 115 | ! PART I : RICHARDSON/REYNOLDS/THERMAL_ROUGHNESS/STABILITY_COEFFICIENTS |
|---|
| 116 | !------------------------------------------------------------------------ |
|---|
| 117 | !------------------------------------------------------------------------ |
|---|
| 118 | |
|---|
| 119 | DO n=1,n_out |
|---|
| 120 | |
|---|
| 121 | c Initialisation : |
|---|
| 122 | |
|---|
| 123 | L_mo(:)=0. |
|---|
| 124 | ustar(:)=0. |
|---|
| 125 | tstar(:)=0. |
|---|
| 126 | zout=z_out(n) |
|---|
| 127 | reynolds(:)=0. |
|---|
| 128 | pz0t = 0. |
|---|
| 129 | pz0tcomp(:) = 0.1*pz0(:) |
|---|
| 130 | rib(:)=0. |
|---|
| 131 | pcdv(:)=0. |
|---|
| 132 | pcdh(:)=0. |
|---|
| 133 | |
|---|
| 134 | ! this formulation assumes alphah=1., implying betah=betam |
|---|
| 135 | ! We use Dyer et al. parameters, as they cover a broad range of Richardson numbers : |
|---|
| 136 | |
|---|
| 137 | bm=16. !UBL |
|---|
| 138 | bh=16. !UBL |
|---|
| 139 | alphah=1. |
|---|
| 140 | betam=5. !SBL |
|---|
| 141 | betah=5. !SBL |
|---|
| 142 | lambda=(sqrt(bh/bm))/alphah |
|---|
| 143 | ric=betah/(betam**2) |
|---|
| 144 | DO ig=1,ngrid |
|---|
| 145 | ite=0. |
|---|
| 146 | residual=abs(pz0tcomp(ig)-pz0t) |
|---|
| 147 | ! zu2(ig)=MAX(pu(ig,1)*pu(ig,1)+pv(ig,1)*pv(ig,1) |
|---|
| 148 | ! & ,(0.3*wstar_in(ig))**2) |
|---|
| 149 | zu2(ig)=pu(ig,1)*pu(ig,1)+pv(ig,1)*pv(ig,1) |
|---|
| 150 | & + (log(1.+0.7*wstar_in(ig) + 2.3*wstar_in(ig)**2))**2 |
|---|
| 151 | |
|---|
| 152 | DO WHILE((residual .gt. 0.01*pz0(ig)) .and. (ite .lt. 10.)) |
|---|
| 153 | |
|---|
| 154 | pz0t=pz0tcomp(ig) |
|---|
| 155 | IF (zu2(ig) .ne. 0.) THEN |
|---|
| 156 | ! Richardson number formulation proposed by D.E. England et al. (1995) |
|---|
| 157 | rib(ig) = (pg/pts(ig)) |
|---|
| 158 | & *sqrt(zzlay(ig,1)*pz0(ig)) |
|---|
| 159 | & *(((log(zzlay(ig,1)/pz0(ig)))**2)/(log(zzlay(ig,1)/pz0t))) |
|---|
| 160 | & *(ph(ig,1)-pts(ig))/zu2(ig) |
|---|
| 161 | ELSE |
|---|
| 162 | print*,'warning, infinite Richardson at surface' |
|---|
| 163 | print*,pu(ig,1),pv(ig,1) |
|---|
| 164 | rib(ig) = ric |
|---|
| 165 | ENDIF |
|---|
| 166 | |
|---|
| 167 | z1z0=zzlay(ig,1)/pz0(ig) |
|---|
| 168 | z1z0t=zzlay(ig,1)/pz0t |
|---|
| 169 | |
|---|
| 170 | cdn(ig)=karman/log(z1z0) |
|---|
| 171 | cdn(ig)=cdn(ig)*cdn(ig) |
|---|
| 172 | chn(ig)=cdn(ig)*log(z1z0)/log(z1z0t) |
|---|
| 173 | |
|---|
| 174 | ! STABLE BOUNDARY LAYER : |
|---|
| 175 | IF (rib(ig) .gt. 0.) THEN |
|---|
| 176 | ! From D.E. England et al. (95) |
|---|
| 177 | prandtl(ig)=1. |
|---|
| 178 | if(rib(ig) .lt. ric) then |
|---|
| 179 | ! Assuming alphah=1. and bh=bm for stable conditions : |
|---|
| 180 | fm(ig)=((ric-rib(ig))/ric)**2 |
|---|
| 181 | fh(ig)=((ric-rib(ig))/ric)**2 |
|---|
| 182 | else |
|---|
| 183 | ! For Ri>Ric, we consider Ri->Infinity => no turbulent mixing at surface |
|---|
| 184 | fm(ig)=0. |
|---|
| 185 | fh(ig)=0. |
|---|
| 186 | endif |
|---|
| 187 | ! UNSTABLE BOUNDARY LAYER : |
|---|
| 188 | ELSE |
|---|
| 189 | ! From D.E. England et al. (95) |
|---|
| 190 | fm(ig)=sqrt(1.-lambda*bm*rib(ig)) |
|---|
| 191 | fh(ig)=(1./alphah)*((1.-lambda*bh*rib(ig))**0.5)* |
|---|
| 192 | & (1.-lambda*bm*rib(ig))**0.25 |
|---|
| 193 | prandtl(ig)=alphah*((1.-lambda*bm*rib(ig))**0.25)/ |
|---|
| 194 | & ((1.-lambda*bh*rib(ig))**0.5) |
|---|
| 195 | ENDIF |
|---|
| 196 | |
|---|
| 197 | reynolds(ig)=karman*sqrt(fm(ig)) |
|---|
| 198 | & *sqrt(zu2(ig)) |
|---|
| 199 | & *pz0(ig)/(log(z1z0)*nu) |
|---|
| 200 | pz0tcomp(ig)=pz0(ig)*exp(-karman*7.3* |
|---|
| 201 | & (reynolds(ig)**0.25)*(prandtl(ig)**0.5)) |
|---|
| 202 | residual = abs(pz0t-pz0tcomp(ig)) |
|---|
| 203 | ite = ite+1 |
|---|
| 204 | |
|---|
| 205 | ENDDO ! of while |
|---|
| 206 | pz0t=0. |
|---|
| 207 | |
|---|
| 208 | ! Drag computation: |
|---|
| 209 | |
|---|
| 210 | pcdv(ig)=cdn(ig)*fm(ig) |
|---|
| 211 | pcdh(ig)=chn(ig)*fh(ig) |
|---|
| 212 | |
|---|
| 213 | ENDDO ! of ngrid |
|---|
| 214 | |
|---|
| 215 | !------------------------------------------------------------------------ |
|---|
| 216 | !------------------------------------------------------------------------ |
|---|
| 217 | ! PART II : USTAR/TSTAR/U_OUT/TETA_OUT COMPUTATIONS |
|---|
| 218 | !------------------------------------------------------------------------ |
|---|
| 219 | !------------------------------------------------------------------------ |
|---|
| 220 | |
|---|
| 221 | |
|---|
| 222 | ! u* theta* computation |
|---|
| 223 | ! and Monin Obukhov length: |
|---|
| 224 | |
|---|
| 225 | DO ig=1,ngrid |
|---|
| 226 | IF (rib(ig) .ge. ric) THEN |
|---|
| 227 | ustar(ig)=0. |
|---|
| 228 | tstar(ig)=0. |
|---|
| 229 | L_mo(ig)=0. |
|---|
| 230 | ELSE |
|---|
| 231 | ustar(ig)=sqrt(pcdv(ig)) |
|---|
| 232 | & *sqrt(pu(ig,1)*pu(ig,1)+pv(ig,1)*pv(ig,1)) |
|---|
| 233 | tstar(ig)=-pcdh(ig)*(pts(ig)-ph(ig,1)) |
|---|
| 234 | & /sqrt(pcdv(ig)) |
|---|
| 235 | L_mo(ig)=pts(ig)*(ustar(ig)**2)/(pg*karman*tstar(ig)) !as defined here, L is positive for SBL, negative for UBL |
|---|
| 236 | ENDIF |
|---|
| 237 | ENDDO |
|---|
| 238 | |
|---|
| 239 | ! Monin Obukhov length: |
|---|
| 240 | |
|---|
| 241 | ! DO ig=1,ngrid |
|---|
| 242 | ! IF (rib(ig) .ge. ric) THEN |
|---|
| 243 | ! L_mo(ig)=0. |
|---|
| 244 | ! ELSE |
|---|
| 245 | ! L_mo(ig)=pts(ig)*(ustar(ig)**2)/(pg*karman*tstar(ig)) !as defined here, L is positive for SBL, negative for UBL |
|---|
| 246 | ! ENDIF |
|---|
| 247 | ! ENDDO |
|---|
| 248 | |
|---|
| 249 | ! Interpolation: |
|---|
| 250 | |
|---|
| 251 | DO ig=1,ngrid |
|---|
| 252 | IF(zout .lt. pz0tcomp(ig)) THEN |
|---|
| 253 | u_out(ig,n)=0. |
|---|
| 254 | Teta_out(ig,n)=pts(ig) |
|---|
| 255 | ELSEIF (L_mo(ig) .gt. 0.) THEN |
|---|
| 256 | ! u_out(ig,n)=(ustar(ig)/karman)*log(zout/pz0(ig)) + |
|---|
| 257 | ! & 5.*(ustar(ig)/(karman*L_mo(ig)))*(zout-pz0(ig)) |
|---|
| 258 | ! Teta_out(ig,n)=pts(ig)+(tstar(ig)/(prandtl(ig)*karman)) |
|---|
| 259 | ! & *log(zout/pz0tcomp(ig)) + |
|---|
| 260 | ! & 5.*(tstar(ig)/(prandtl(ig)*karman*L_mo(ig))) |
|---|
| 261 | ! & *(zout-pz0tcomp(ig)) |
|---|
| 262 | IF ((zout/L_mo(ig).lt.ric).and.(pz0(ig).lt.ric)) THEN |
|---|
| 263 | ! & ((zout/L_mo(ig).gt.ric).and.(pz0(ig).gt.ric)) ) THEN |
|---|
| 264 | |
|---|
| 265 | u_out(ig,n)=(ustar(ig)/karman)*( |
|---|
| 266 | & log((ric-pz0(ig)/L_mo(ig))/(ric-zout/L_mo(ig))) |
|---|
| 267 | & +log(zout/pz0(ig)) |
|---|
| 268 | & ) |
|---|
| 269 | ELSEIF ((zout/L_mo(ig).gt.ric).and.(pz0(ig).gt.ric)) THEN |
|---|
| 270 | |
|---|
| 271 | u_out(ig,n)=(ustar(ig)/karman)*( |
|---|
| 272 | & log((zout-ric*L_mo(ig))/(pz0(ig)-ric*L_mo(ig))) |
|---|
| 273 | & +log(pz0(ig)/zout) |
|---|
| 274 | & ) |
|---|
| 275 | |
|---|
| 276 | ELSEIF ((zout/L_mo(ig).gt.ric).and.(pz0(ig).lt.ric)) THEN |
|---|
| 277 | !integral of the stability function does not converge |
|---|
| 278 | |
|---|
| 279 | |
|---|
| 280 | u_out(ig,n)=sqrt(pu(ig,1)**2 + pv(ig,1)**2) |
|---|
| 281 | |
|---|
| 282 | |
|---|
| 283 | ENDIF |
|---|
| 284 | IF((zout/L_mo(ig).lt.ric).and.(pz0tcomp(ig).lt.ric)) THEN |
|---|
| 285 | ! & ((zout/L_mo(ig).gt.ric).and.(pz0tcomp(ig).gt.ric)) ) THEN |
|---|
| 286 | |
|---|
| 287 | Teta_out(ig,n)=pts(ig)+(tstar(ig)/(prandtl(ig)*karman))*( |
|---|
| 288 | & log((ric-pz0tcomp(ig)/L_mo(ig))/(ric-zout/L_mo(ig))) |
|---|
| 289 | & +log(zout/pz0tcomp(ig)) |
|---|
| 290 | & ) |
|---|
| 291 | ELSEIF ((zout/L_mo(ig).gt.ric).and.(pz0tcomp(ig).gt.ric)) THEN |
|---|
| 292 | |
|---|
| 293 | Teta_out(ig,n)=pts(ig)+(tstar(ig)/(prandtl(ig)*karman))*( |
|---|
| 294 | & log((zout-ric*L_mo(ig))/(pz0tcomp(ig)-ric*L_mo(ig))) |
|---|
| 295 | & +log(pz0tcomp(ig)/zout) |
|---|
| 296 | & ) |
|---|
| 297 | |
|---|
| 298 | ELSEIF ((zout/L_mo(ig).gt.ric).and.(pz0tcomp(ig).lt.ric)) THEN |
|---|
| 299 | !integral of the stability function does not converge |
|---|
| 300 | |
|---|
| 301 | Teta_out(ig,n)=ph(ig,1) |
|---|
| 302 | |
|---|
| 303 | ENDIF |
|---|
| 304 | |
|---|
| 305 | ELSEIF (L_mo(ig) .lt. 0.) THEN |
|---|
| 306 | |
|---|
| 307 | IF(L_mo(ig) .gt. -1000.) THEN |
|---|
| 308 | |
|---|
| 309 | u_out(ig,n)=(ustar(ig)/karman)*( |
|---|
| 310 | & 2.*atan((1.-16.*zout/L_mo(ig))**0.25) |
|---|
| 311 | & -2.*atan((1.-16.*pz0(ig)/L_mo(ig))**0.25) |
|---|
| 312 | & -2.*log(1.+(1.-16.*zout/L_mo(ig))**0.25) |
|---|
| 313 | & +2.*log(1.+(1.-16.*pz0(ig)/L_mo(ig))**0.25) |
|---|
| 314 | & - log(1.+sqrt(1.-16.*zout/L_mo(ig))) |
|---|
| 315 | & + log(1.+sqrt(1.-16.*pz0(ig)/L_mo(ig))) |
|---|
| 316 | & + log(zout/pz0(ig)) |
|---|
| 317 | & ) |
|---|
| 318 | |
|---|
| 319 | Teta_out(ig,n)=MAX(pts(ig)+(tstar(ig)/(prandtl(ig)*karman))*( |
|---|
| 320 | & 2.*log(1.+sqrt(1.-16.*pz0tcomp(ig)/L_mo(ig))) |
|---|
| 321 | & -2.*log(1.+sqrt(1.-16.*zout/L_mo(ig))) |
|---|
| 322 | & + log(zout/pz0tcomp(ig)) |
|---|
| 323 | & ),ph(ig,1)) |
|---|
| 324 | |
|---|
| 325 | ELSE |
|---|
| 326 | |
|---|
| 327 | ! We have to treat the case where L is very large and negative, |
|---|
| 328 | ! corresponding to a very nearly stable atmosphere (but not quite !) |
|---|
| 329 | ! i.e. teta* <0 and almost zero. We choose the cutoff |
|---|
| 330 | ! corresponding to L_mo < -1000 and use a 3rd order taylor expansion. The difference |
|---|
| 331 | ! between the two expression for z/L = -1/1000 is -1.54324*10^-9 |
|---|
| 332 | ! (we do that to avoid using r*4 precision, otherwise, we get -inf values) |
|---|
| 333 | |
|---|
| 334 | u_out(ig,n)=(ustar(ig)/karman)*( |
|---|
| 335 | & (4./L_mo(ig))*(zout-pz0(ig)) |
|---|
| 336 | & + (20./(L_mo(ig))**2)*(zout**2-pz0(ig)**2) |
|---|
| 337 | & + (160./(L_mo(ig))**3)*(zout**3-pz0(ig)**3) |
|---|
| 338 | & + log(zout/pz0(ig)) |
|---|
| 339 | & ) |
|---|
| 340 | |
|---|
| 341 | Teta_out(ig,n)=MAX(pts(ig)+(tstar(ig)/(prandtl(ig)*karman))*( |
|---|
| 342 | & (8./L_mo(ig))*(zout-pz0tcomp(ig)) |
|---|
| 343 | & + (48./(L_mo(ig))**2)*(zout**2-pz0tcomp(ig)**2) |
|---|
| 344 | & + (1280./(3.*(L_mo(ig))**3))*(zout**3-pz0tcomp(ig)**3) |
|---|
| 345 | & + log(zout/pz0tcomp(ig)) |
|---|
| 346 | & ),ph(ig,1)) |
|---|
| 347 | |
|---|
| 348 | ENDIF |
|---|
| 349 | ELSE |
|---|
| 350 | u_out(ig,n)=sqrt(pu(ig,1)**2 + pv(ig,1)**2) |
|---|
| 351 | Teta_out(ig,n)=ph(ig,1) |
|---|
| 352 | ENDIF |
|---|
| 353 | IF(zout .lt. pz0(ig)) THEN |
|---|
| 354 | u_out(ig,n)=0. |
|---|
| 355 | ENDIF |
|---|
| 356 | |
|---|
| 357 | ! Final check |
|---|
| 358 | IF (L_mo(ig) .gt. 0) THEN |
|---|
| 359 | IF (Teta_out(ig,n) .gt. ph(ig,1)) THEN |
|---|
| 360 | Teta_out(ig,n)=ph(ig,1) |
|---|
| 361 | ELSEIF (Teta_out(ig,n) .lt. pts(ig)) THEN |
|---|
| 362 | Teta_out(ig,n)=pts(ig) |
|---|
| 363 | ENDIF |
|---|
| 364 | ELSEIF (L_mo(ig) .lt. 0) THEN |
|---|
| 365 | IF (Teta_out(ig,n) .lt. ph(ig,1)) THEN |
|---|
| 366 | Teta_out(ig,n)=ph(ig,1) |
|---|
| 367 | ELSEIF (Teta_out(ig,n) .gt. pts(ig)) THEN |
|---|
| 368 | Teta_out(ig,n)=pts(ig) |
|---|
| 369 | ENDIF |
|---|
| 370 | ENDIF |
|---|
| 371 | |
|---|
| 372 | IF (u_out(ig,n) .gt. sqrt(pu(ig,1)**2 + pv(ig,1)**2)) THEN |
|---|
| 373 | u_out(ig,n)=sqrt(pu(ig,1)**2 + pv(ig,1)**2) |
|---|
| 374 | ENDIF |
|---|
| 375 | |
|---|
| 376 | ENDDO |
|---|
| 377 | |
|---|
| 378 | ! when using convective adjustment without thermals, a vertical potential temperature |
|---|
| 379 | ! profile is assumed up to the thermal roughness length. Hence, theoretically, theta |
|---|
| 380 | ! interpolated at any height in the surface layer is theta at the first level. |
|---|
| 381 | |
|---|
| 382 | IF ((.not.calltherm).and.(calladj)) THEN |
|---|
| 383 | Teta_out(:,n)=ph(:,1) |
|---|
| 384 | u_out(:,n)=(sqrt(cdn(:))*sqrt(pu(:,1)*pu(:,1)+pv(:,1)*pv(:,1)) |
|---|
| 385 | & /karman)*log(zout/pz0(:)) |
|---|
| 386 | ENDIF |
|---|
| 387 | T_out(:,n) = Teta_out(:,n)*(exp( |
|---|
| 388 | & (zout/zzlay(:,1))*(log(pplay(:,1)/ps)) |
|---|
| 389 | & ) |
|---|
| 390 | & )**rcp |
|---|
| 391 | |
|---|
| 392 | ENDDO !of n=1,n_out |
|---|
| 393 | |
|---|
| 394 | !------------------------------------------------------------------------ |
|---|
| 395 | !------------------------------------------------------------------------ |
|---|
| 396 | ! PART III : WSTAR COMPUTATION |
|---|
| 397 | !------------------------------------------------------------------------ |
|---|
| 398 | !------------------------------------------------------------------------ |
|---|
| 399 | |
|---|
| 400 | ! Detection of the mixed-layer potential temperature |
|---|
| 401 | ! ------------ |
|---|
| 402 | |
|---|
| 403 | ! Nearest index for the pbl height |
|---|
| 404 | |
|---|
| 405 | IF (calltherm) THEN |
|---|
| 406 | |
|---|
| 407 | pbl_height_index(:)=1 |
|---|
| 408 | |
|---|
| 409 | DO k=1,nlay-1 |
|---|
| 410 | DO ig=1, ngrid |
|---|
| 411 | IF (abs(zmax(ig)-zzlay(ig,k)) .lt. |
|---|
| 412 | & abs(zmax(ig)-zzlay(ig,pbl_height_index(ig)))) THEN |
|---|
| 413 | pbl_height_index(ig)=k |
|---|
| 414 | ENDIF |
|---|
| 415 | ENDDO |
|---|
| 416 | ENDDO |
|---|
| 417 | |
|---|
| 418 | ! Potential temperature gradient |
|---|
| 419 | |
|---|
| 420 | dteta(:,nlay)=0. |
|---|
| 421 | DO k=1,nlay-1 |
|---|
| 422 | DO ig=1, ngrid |
|---|
| 423 | dteta(ig,k) = (ph(ig,k+1)-ph(ig,k))/(zzlay(ig,k+1)-zzlay(ig,k)) |
|---|
| 424 | ENDDO |
|---|
| 425 | ENDDO |
|---|
| 426 | |
|---|
| 427 | ! Computation of the pbl mixed layer temperature |
|---|
| 428 | |
|---|
| 429 | DO ig=1, ngrid |
|---|
| 430 | ii=MINLOC(abs(dteta(ig,1:pbl_height_index(ig)))) |
|---|
| 431 | pbl_teta(ig) = ph(ig,ii(1)) |
|---|
| 432 | ENDDO |
|---|
| 433 | |
|---|
| 434 | !------------------------------------------------------------------------ |
|---|
| 435 | !------------------------------------------------------------------------ |
|---|
| 436 | ! PART IV : VERTICAL_VELOCITY_VARIANCE/VERTICAL_TURBULENT_FLUX PROFILES |
|---|
| 437 | !------------------------------------------------------------------------ |
|---|
| 438 | !------------------------------------------------------------------------ |
|---|
| 439 | |
|---|
| 440 | ! We follow Spiga et. al 2010 (QJRMS) |
|---|
| 441 | ! ------------ |
|---|
| 442 | |
|---|
| 443 | DO ig=1, ngrid |
|---|
| 444 | IF (zmax(ig) .gt. 0.) THEN |
|---|
| 445 | x(ig) = zout/zmax(ig) |
|---|
| 446 | ELSE |
|---|
| 447 | x(ig) = 999. |
|---|
| 448 | ENDIF |
|---|
| 449 | ENDDO |
|---|
| 450 | |
|---|
| 451 | DO ig=1, ngrid |
|---|
| 452 | ! dimensionless vertical heat flux |
|---|
| 453 | IF (x(ig) .le. 0.3) THEN |
|---|
| 454 | dvhf(ig) = ((-3.85/log(x(ig)))+0.07*log(x(ig))) |
|---|
| 455 | & *exp(-4.61*x(ig)) |
|---|
| 456 | ELSEIF (x(ig) .le. 1.) THEN |
|---|
| 457 | dvhf(ig) = -1.52*x(ig) + 1.24 |
|---|
| 458 | ELSE |
|---|
| 459 | dvhf(ig) = 0. |
|---|
| 460 | ENDIF |
|---|
| 461 | ! dimensionless vertical velocity variance |
|---|
| 462 | IF (x(ig) .le. 1.) THEN |
|---|
| 463 | dvvv(ig) = 2.05*(x(ig)**(2./3.))*(1.-0.64*x(ig))**2 |
|---|
| 464 | ELSE |
|---|
| 465 | dvvv(ig) = 0. |
|---|
| 466 | ENDIF |
|---|
| 467 | ENDDO |
|---|
| 468 | |
|---|
| 469 | vhf(:) = dvhf(:)*hfmax(:) |
|---|
| 470 | vvv(:) = dvvv(:)*(wstar_in(:))**2 |
|---|
| 471 | |
|---|
| 472 | ENDIF ! of if calltherm |
|---|
| 473 | |
|---|
| 474 | call WRITEDIAGFI(ngrid,'rib_pbl', |
|---|
| 475 | & 'Richardson in pbl parameter','m/s',2,rib) |
|---|
| 476 | call WRITEDIAGFI(ngrid,'cdn_pbl', |
|---|
| 477 | & 'neutral momentum coef','m/s',2,cdn) |
|---|
| 478 | call WRITEDIAGFI(ngrid,'fm_pbl', |
|---|
| 479 | & 'momentum stab function','m/s',2,fm) |
|---|
| 480 | call WRITEDIAGFI(ngrid,'uv', |
|---|
| 481 | & 'wind norm first layer','m/s',2,sqrt(zu2)) |
|---|
| 482 | call WRITEDIAGFI(ngrid,'uvtrue', |
|---|
| 483 | & 'wind norm first layer','m/s',2,sqrt(pu(:,1)**2+pv(:,1)**2)) |
|---|
| 484 | call WRITEDIAGFI(ngrid,'chn_pbl', |
|---|
| 485 | & 'neutral momentum coef','m/s',2,chn) |
|---|
| 486 | call WRITEDIAGFI(ngrid,'fh_pbl', |
|---|
| 487 | & 'momentum stab function','m/s',2,fh) |
|---|
| 488 | call WRITEDIAGFI(ngrid,'B_pbl', |
|---|
| 489 | & 'flottabilité','m/',2,(ph(:,1)-pts(:))/pts(:)) |
|---|
| 490 | call WRITEDIAGFI(ngrid,'zot_pbl', |
|---|
| 491 | & 'flottabilité','ms',2,pz0tcomp) |
|---|
| 492 | call WRITEDIAGFI(ngrid,'zz1','flottabilité','m',2,zzlay(:,1)) |
|---|
| 493 | |
|---|
| 494 | RETURN |
|---|
| 495 | END |
|---|
