Updating version for v4.6.0 (#2042)
[WRF.git] / phys / module_sf_qnsesfc.F
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1 !----------------------------------------------------------------------
3       MODULE MODULE_SF_QNSESFC
5 !----------------------------------------------------------------------
7       USE MODULE_MODEL_CONSTANTS
8       USE MODULE_DM, ONLY : WRF_DM_MAXVAL
10 !----------------------------------------------------------------------
12 ! REFERENCES:  Janjic (2002), NCEP Office Note 437
14 ! ABSTRACT:
15 !     MYJSFC GENERATES THE SURFACE EXCHANGE COEFFICIENTS FOR VERTICAL
16 !     TURBULENT EXCHANGE BASED UPON MONIN_OBUKHOV THEORY WITH
17 !     VARIOUS REFINEMENTS.
19 !----------------------------------------------------------------------
21       INTEGER :: ITRMX=5 ! Iteration count for sfc layer computations
23       REAL,PARAMETER :: EPSQ2L=0.01
24       REAL,PARAMETER :: VKARMAN=0.4
25       REAL,PARAMETER :: CAPA=R_D/CP,ELOCP=2.72E6/CP,RCAP=1./CAPA
26       REAL,PARAMETER :: GOCP02=G/CP*2.,GOCP10=G/CP*10.
27 !      REAL,PARAMETER :: EPSU2=1.E-4,EPSUST=0.07,EPSZT=1.E-5
28 !       ECMWF sets lower limit on ln(Z0h)=-20 --> EPSZT=2.E-9
29       REAL,PARAMETER :: EPSU2=1.E-6,EPSUST=1.E-9,EPSZT=1.E-28
30       REAL,PARAMETER :: A2S=17.2693882,A3S=273.16,A4S=35.86
31       REAL,PARAMETER :: SEAFC=0.98,PQ0SEA=PQ0*SEAFC
32       REAL,PARAMETER :: BETA=1./273.,CZIL=0.1,EXCML=0.0001,EXCMS=0.0001  &
33 !old      REAL,PARAMETER :: BETA=1./273.,CZIL=0.1,EXCML=0.001,EXCMS=0.001  &
34      &                 ,GLKBR=10.,GLKBS=30.,PI=3.1415926               &
35      &                 ,QVISC=2.1E-5,RIC=0.505,SMALL=0.35              &
36      &                 ,SQPR=0.84,SQSC=0.84,SQVISC=258.2,TVISC=2.1E-5  &
37      &                 ,USTC=0.7,USTR=0.225,VISC=1.5E-5,FH=1.01        &
38      &                 ,WWST=1.2,ZTFC=0.1,TOPOFAC=9.0E-6
40       REAL,PARAMETER :: BTG=BETA*G,CZIV=SMALL*GLKBS                    &
41      &                 ,GRRS=GLKBR/GLKBS                               &
42      &                 ,RTVISC=1./TVISC,RVISC=1./VISC                  &
43      &                 ,ZQRZT=SQSC/SQPR                                &
44      &                 ,FZQ1=RTVISC*QVISC*ZQRZT                        &
45      &                 ,FZQ2=RTVISC*QVISC*ZQRZT                        &
46      &                 ,FZT1=RVISC *TVISC*SQPR                         &
47      &                 ,FZT2=CZIV*GRRS*TVISC*SQPR                      &
48      &                 ,FZU1=CZIV*VISC                                 &
49      &                 ,PIHF=0.5*PI                                    &
50      &                 ,PRT0=0.72                                      &
51      &                 ,RQVISC=1./QVISC                                &
52      &                 ,USTFC=0.018/G                                  &
53      &                 ,WWST2=WWST*WWST                                &
54      &                 ,ZILFC=-CZIL*VKARMAN*SQVISC
56 !----------------------------------------------------------------------
57       INTEGER, PARAMETER :: KZTM=10001,KZTM2=KZTM-2
59       REAL :: DZETA1,DZETA2,FH01,FH02,ZTMAX1,ZTMAX2,ZTMIN1,ZTMIN2
61       REAL,DIMENSION(KZTM) :: PSIH1,PSIH2,PSIM1,PSIM2
63 !----------------------------------------------------------------------
65 CONTAINS
67 !----------------------------------------------------------------------
68       SUBROUTINE QNSESFC(ITIMESTEP,HT,DZ                                & 
69      &                 ,PMID,PINT,TH,T,QV,QC,U,V,Q2                    &
70      &                 ,TSK,QSFC,THZ0,QZ0,UZ0,VZ0                      &
71      &                 ,LOWLYR,XLAND                                   &
72      &                 ,USTAR,ZNT,Z0BASE,PBLH,MAVAIL,RMOL              &
73      &                 ,AKHS,AKMS                                      &
74      &                 ,RIB                                            &
75      &                 ,CHS,CHS2,CQS2,HFX,QFX,FLX_LH,FLHC,FLQC         &
76      &                 ,QGH,CPM,CT                                     &
77      &                 ,U10,V10,T02,TH02,TSHLTR,TH10,Q02,QSHLTR,Q10,PSHLTR          &
78      &                 ,U10E,V10E                                      &
79      &                 ,IDS,IDE,JDS,JDE,KDS,KDE                        &
80      &                 ,IMS,IME,JMS,JME,KMS,KME                        &
81      &                 ,ITS,ITE,JTS,JTE,KTS,KTE,SCM_FORCE_FLUX  )
82 !----------------------------------------------------------------------
84       IMPLICIT NONE
86 !----------------------------------------------------------------------
87       INTEGER,INTENT(IN) :: IDS,IDE,JDS,JDE,KDS,KDE                    &
88      &                     ,IMS,IME,JMS,JME,KMS,KME                    &
89      &                     ,ITS,ITE,JTS,JTE,KTS,KTE
91       INTEGER,INTENT(IN) :: ITIMESTEP
93       INTEGER,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: LOWLYR
95       REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: HT,MAVAIL,TSK      &
96      &                                             ,XLAND,Z0BASE
98       REAL,DIMENSION(IMS:IME,KMS:KME,JMS:JME),INTENT(IN) :: DZ         &
99      &                                                     ,PMID,PINT  &
100      &                                                     ,Q2,QC,QV   &
101      &                                                     ,T,TH       &
102      &                                                     ,U,V   
104       REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(OUT) :: PSHLTR,Q10,QSHLTR &
105      &                                              ,TH10,TSHLTR,T02   &
106      &                                              ,U10,V10,TH02,Q02
107       REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(OUT) :: U10E,V10E
108       REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: FLX_LH,HFX,QFX 
110       REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: AKHS,AKMS       &
111      &                                                ,PBLH,QSFC
112       REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(OUT)   :: RIB
114       REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: QZ0,RMOL,THZ0   &
115      &                                                ,USTAR,UZ0,VZ0   &
116      &                                                ,ZNT
118       REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(OUT) :: CHS,CHS2,CQS2     &
119      &                                              ,CPM,CT,FLHC,FLQC  &
120      &                                              ,QGH 
122      INTEGER,  OPTIONAL,  INTENT(IN )   ::     SCM_FORCE_FLUX  ! JP 
124 !----------------------------------------------------------------------
125 !***
126 !***  LOCAL VARIABLES
127 !***
128       INTEGER :: I,J,K,KFLIP,LMH,LPBL,NTSD
130       REAL :: A,APESFC,B,BTGX,CWMLOW                                   &
131      &       ,DQDT,DTDIF,DTDT,DUDT,DVDT                                &
132      &       ,FIS                                                      &
133      &       ,P02P,P10P,PLOW,PSFC,PTOP,QLOW,QS02,QS10                  &
134      &       ,RAPA,RAPA02,RAPA10,RATIOMX,RDZ,SEAMASK,SM                &
135      &       ,T02P,T10P,TEM,TH02P,TH10P,THLOW,THELOW,THM               &
136      &       ,TLOW,TZ0,ULOW,VLOW,ZSL
138       REAL,DIMENSION(KTS:KTE) :: CWMK,PK,Q2K,QK,THEK,THK,TK,UK,VK
140       REAL,DIMENSION(KTS:KTE-1) :: EL,ELM
142       REAL,DIMENSION(KTS:KTE+1) :: ZHK
144       REAL,DIMENSION(ITS:ITE,JTS:JTE) :: THSK
146       REAL,DIMENSION(ITS:ITE,KTS:KTE+1,JTS:JTE) :: ZINT
148 !----------------------------------------------------------------------
149 !**********************************************************************
150 !----------------------------------------------------------------------
152 !***  MAKE PREPARATIONS
154 !----------------------------------------------------------------------
155       DO J=JTS,JTE
156       DO K=KTS,KTE+1
157       DO I=ITS,ITE
158         ZINT(I,K,J)=0.
159       ENDDO
160       ENDDO
161       ENDDO
163       DO J=JTS,JTE
164       DO I=ITS,ITE
165         ZINT(I,KTE+1,J)=HT(I,J)     ! Z at bottom of lowest sigma layer
166         PBLH(I,J)=-1.
168 !!!!!!!!!
169 !!!!!! UNCOMMENT THESE LINES IF USING ETA COORDINATES
170 !!!!!!!!!
171 !!!!!!  ZINT(I,KTE+1,J)=1.E-4       ! Z of bottom of lowest eta layer
172 !!!!!!  ZHK(KTE+1)=1.E-4            ! Z of bottom of lowest eta layer
174       ENDDO
175       ENDDO
177       DO J=JTS,JTE
178       DO K=KTE,KTS,-1
179         KFLIP=KTE+1-K
180         DO I=ITS,ITE
181           ZINT(I,K,J)=ZINT(I,K+1,J)+DZ(I,KFLIP,J)
182         ENDDO
183       ENDDO
184       ENDDO
186       NTSD=ITIMESTEP
188       IF(NTSD==1)THEN
189         DO J=JTS,JTE
190         DO I=ITS,ITE
191           USTAR(I,J)=0.1
192           FIS=HT(I,J)*G
193           SM=XLAND(I,J)-1.
194 !!!       Z0(I,J)=SM*Z0SEA+(1.-SM)*(Z0(I,J)*Z0MAX+FIS*FCM+Z0LAND)
195 !!!       ZNT(I,J)=SM*Z0SEA+(1.-SM)*(ZNT(I,J)*Z0MAX+FIS*FCM+Z0LAND)
196         ENDDO
197         ENDDO
198       ENDIF
200 !!!!  IF(NTSD==1)THEN
201         DO J=JTS,JTE
202         DO I=ITS,ITE
203           CT(I,J)=0.
204         ENDDO
205         ENDDO
206 !!!!  ENDIF
208 !----------------------------------------------------------------------
209         setup_integration:  DO J=JTS,JTE
210 !----------------------------------------------------------------------
212         DO I=ITS,ITE
214 !***  LOWEST LAYER ABOVE GROUND MUST BE FLIPPED
216           LMH=KTE-LOWLYR(I,J)+1
218           PTOP=PINT(I,KTE+1,J)      ! KTE+1=KME
219           PSFC=PINT(I,LOWLYR(I,J),J)
220 ! Define THSK here (for first timestep mostly)
221           THSK(I,J)=TSK(I,J)/(PSFC*1.E-5)**CAPA
223 !***  CONVERT LAND MASK (1 FOR SEA; 0 FOR LAND)
225           SEAMASK=XLAND(I,J)-1.
227 !***  FILL 1-D VERTICAL ARRAYS
228 !***  AND FLIP DIRECTION SINCE MYJ SCHEME
229 !***  COUNTS DOWNWARD FROM THE DOMAIN'S TOP
231           DO K=KTE,KTS,-1
232             KFLIP=KTE+1-K
233             THK(K)=TH(I,KFLIP,J)
234             TK(K)=T(I,KFLIP,J)
235             RATIOMX=QV(I,KFLIP,J)
236             QK(K)=RATIOMX/(1.+RATIOMX)
237             PK(K)=PMID(I,KFLIP,J)
238             CWMK(K)=QC(I,KFLIP,J)
239             THEK(K)=(CWMK(K)*(-ELOCP/TK(K))+1.)*THK(K)
240             Q2K(K)=2.*Q2(I,KFLIP,J)
243 !***  COMPUTE THE HEIGHTS OF THE LAYER INTERFACES
245             ZHK(K)=ZINT(I,K,J)
247           ENDDO
248           ZHK(KTE+1)=HT(I,J)          ! Z at bottom of lowest sigma layer
250           DO K=KTE,KTS,-1
251             KFLIP=KTE+1-K
252             UK(K)=U(I,KFLIP,J)
253             VK(K)=V(I,KFLIP,J)
254           ENDDO
256 !***  FIND THE HEIGHT OF THE PBL
258           LPBL=LMH
259           DO K=LMH-1,1,-1
260             IF(Q2K(K)<=EPSQ2L*FH) THEN
261               LPBL=K
262               GO TO 110
263             ENDIF
264           ENDDO
266           LPBL=1
268 !-----------------------------------------------------------------------
269 !--------------THE HEIGHT OF THE PBL------------------------------------
270 !-----------------------------------------------------------------------
272  110      PBLH(I,J)=ZHK(LPBL)-ZHK(LMH+1)
274 !----------------------------------------------------------------------
275 !***
276 !***  FIND THE SURFACE EXCHANGE COEFFICIENTS
277 !***
278 !----------------------------------------------------------------------
279           PLOW=PK(LMH)
280           TLOW=TK(LMH)
281           THLOW=THK(LMH)
282           THELOW=THEK(LMH)
283           QLOW=QK(LMH)
284           CWMLOW=CWMK(LMH)
285           ULOW=UK(LMH)
286           VLOW=VK(LMH)
287           ZSL=(ZHK(LMH)-ZHK(LMH+1))*0.5
288           APESFC=(PSFC*1.E-5)**CAPA
289           TZ0=THZ0(I,J)*APESFC
291           CALL SFCDIF(NTSD,SEAMASK,THSK(I,J),QSFC(I,J),PSFC            &
292      &               ,UZ0(I,J),VZ0(I,J),TZ0,THZ0(I,J),QZ0(I,J)         &
293      &               ,USTAR(I,J),ZNT(I,J),Z0BASE(I,J),CT(I,J),RMOL(I,J) &
294      &               ,AKMS(I,J),AKHS(I,J),RIB(I,J),PBLH(I,J),MAVAIL(I,J) &
295      &               ,CHS(I,J),CHS2(I,J),CQS2(I,J)                     &
296      &               ,HFX(I,J),QFX(I,J),FLX_LH(I,J)                    &
297      &               ,FLHC(I,J),FLQC(I,J),QGH(I,J),CPM(I,J)            &
298      &               ,ULOW,VLOW,TLOW,THLOW,THELOW,QLOW,CWMLOW          &
299      &               ,ZSL,PLOW                                         &
300      &               ,U10(I,J),V10(I,J),TSHLTR(I,J),TH10(I,J)          &
301      &               ,QSHLTR(I,J),Q10(I,J),PSHLTR(I,J)                 &
302      &               ,U10E(I,J),V10E(I,J)                              &
303      &               ,IDS,IDE,JDS,JDE,KDS,KDE                          &
304      &               ,IMS,IME,JMS,JME,KMS,KME                          &
305      &               ,ITS,ITE,JTS,JTE,KTS,KTE,i,j,ZHK(LMH+1)           &
306      &               ,SCM_FORCE_FLUX) 
309 !***  REMOVE SUPERATURATION AT 2M AND 10M
311           RAPA=APESFC
312           TH02P=TSHLTR(I,J)
313           TH10P=TH10(I,J)
314           TH02(I,J)=TSHLTR(I,J)    !emt
315          IF (SEAMASK.EQ.1.AND.I.EQ.170.AND.J.EQ.20) THEN
316           print*,'HFX_SEA_point',HFX(I,J)
317          END IF
319           RAPA02=RAPA-GOCP02/TH02P
320           RAPA10=RAPA-GOCP10/TH10P
322           T02P=TH02P*RAPA02
323           T10P=TH10P*RAPA10
324            T02(I,J) = TH02(I,J)*APESFC  !emt
327           P02P=(RAPA02**RCAP)*1.E5
328           P10P=(RAPA10**RCAP)*1.E5
330           QS02=PQ0/P02P*EXP(A2*(T02P-A3)/(T02P-A4))
331           QS10=PQ0/P10P*EXP(A2*(T10P-A3)/(T10P-A4))
333           IF(QSHLTR(I,J)>QS02)QSHLTR(I,J)=QS02
334           IF(Q10   (I,J)>QS10)Q10   (I,J)=QS10
335            Q02(I,J)=QSHLTR(I,J)/(1.-QSHLTR(I,J))  !emt
336 !----------------------------------------------------------------------
338         ENDDO
340 !----------------------------------------------------------------------
341       ENDDO setup_integration
342 !----------------------------------------------------------------------
344       END SUBROUTINE QNSESFC
345 !XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
346 !----------------------------------------------------------------------
347       SUBROUTINE SFCDIF(NTSD,SEAMASK,THS,QS,PSFC                       &
348      &                 ,UZ0,VZ0,TZ0,THZ0,QZ0                           &
349      &                 ,USTAR,Z0,Z0BASE,CT,RLMO,AKMS,AKHS,RIB,PBLH,WETM &
350      &                 ,CHS,CHS2,CQS2,HFX,QFX,FLX_LH,FLHC,FLQC,QGH,CPM &
351      &                 ,ULOW,VLOW,TLOW,THLOW,THELOW,QLOW,CWMLOW        &
352      &                 ,ZSL,PLOW                                       &
353      &                 ,U10,V10,TH02,TH10,Q02,Q10,PSHLTR               &
354      &                 ,U10E,V10E                                      &
355      &                 ,IDS,IDE,JDS,JDE,KDS,KDE                        &
356      &                 ,IMS,IME,JMS,JME,KMS,KME                        &
357      &                 ,ITS,ITE,JTS,JTE,KTS,KTE,i,j,ZSFC,SCM_FORCE_FLUX)
358 !     ****************************************************************
359 !     *                                                              *
360 !     *                       SURFACE LAYER                          *
361 !     *                                                              *
362 !     ****************************************************************
363 !----------------------------------------------------------------------
365       IMPLICIT NONE
367 !----------------------------------------------------------------------
368       INTEGER,INTENT(IN) :: IDS,IDE,JDS,JDE,KDS,KDE                    &
369      &                     ,IMS,IME,JMS,JME,KMS,KME                    &
370      &                     ,ITS,ITE,JTS,JTE,KTS,KTE,i,j
372       INTEGER,INTENT(IN) :: NTSD
374       REAL,INTENT(IN) :: CWMLOW,PBLH,PLOW,QLOW,PSFC,SEAMASK,ZSFC       &
375      &                  ,THELOW,THLOW,THS,TLOW,ULOW,VLOW,WETM,ZSL  &
376      &                  ,Z0BASE
378       REAL,INTENT(OUT) :: CHS,CHS2,CPM,CQS2,CT,FLHC,FLQC,    &
379      &                   PSHLTR,Q02,Q10,QGH,RIB,RLMO,TH02,TH10,U10,V10
381       REAL,INTENT(OUT) :: U10E,V10E
383       REAL,INTENT(INOUT) :: FLX_LH,HFX,QFX  
385       REAL,INTENT(INOUT) :: AKHS,AKMS,QZ0,THZ0,USTAR,UZ0,VZ0,Z0,QS,TZ0
387       INTEGER,  OPTIONAL,  INTENT(IN )   ::     SCM_FORCE_FLUX
389 !----------------------------------------------------------------------
390 !***
391 !***  LOCAL VARIABLES
392 !***
393       INTEGER :: ITR,K
395       REAL :: A,B,BTGH,BTGX,CXCHL,CXCHS,DTHV,DU2,ELFC,FCT              &
396      &       ,HLFLX,HSFLX,HV,PSH02,PSH10,PSHZ,PSHZL,PSM10,PSMZ,PSMZL   &
397      &       ,RDZ,RDZT,RLMA,RLMN,RLMP                                  &
398      &       ,RLOGT,RLOGU,RWGH,RZ,RZST,RZSU,SIMH,SIMM,TEM,THM          &
399      &       ,UMFLX,USTARK,VMFLX,WGHT,WGHTT,WGHTQ,WSTAR2               &
400      &       ,X,XLT,XLT4,XLU,XLU4,XT,XT4,XU,XU4,ZETALT,ZETALU          &
401      &       ,ZETAT,ZETAU,ZQ,ZSLT,ZSLU,ZT,ZU,TOPOTERM,ZZIL
403 !***  DIAGNOSTICS
405       REAL :: AKHS02,AKHS10,AKMS02,AKMS10,EKMS10,QSAT10,QSAT2          &
406      &       ,RLNT02,RLNT10,RLNU10,SIMH02,SIMH10,SIMM10,T02,T10        &
407      &       ,TERM1,RLOW,WSTAR,XLT02,XLT024,XLT10                      &
408      &       ,XLT104,XLU10,XLU104,XU10,XU104,ZT02,ZT10,ZTAT02,ZTAT10   &
409      &       ,ZTAU,ZTAU10,ZU10,ZUUZ
410 !----------------------------------------------------------------------
411 !**********************************************************************
412 !----------------------------------------------------------------------
413       RDZ=1./ZSL
414       CXCHL=EXCML*RDZ
415       CXCHS=EXCMS*RDZ
417       BTGX=G/THLOW
418       ELFC=VKARMAN*BTGX
420       IF(PBLH>1000.)THEN
421         BTGH=BTGX*PBLH
422       ELSE
423         BTGH=BTGX*1000.
424       ENDIF
426       RLOW=PLOW/(R_D*TLOW)
428 !----------------------------------------------------------------------
430 !***  SEA POINTS
432 !----------------------------------------------------------------------
434       IF(SEAMASK>0.5)THEN 
436 !----------------------------------------------------------------------
437         DO ITR=1,ITRMX
438 !----------------------------------------------------------------------
439           Z0=MAX(USTFC*USTAR*USTAR,1.59E-5)
441 !***  VISCOUS SUBLAYER, JANJIC MWR 1994
443 !----------------------------------------------------------------------
444           IF(USTAR<USTC)THEN
445 !----------------------------------------------------------------------
447             IF(USTAR<USTR)THEN
449               IF(NTSD==1)THEN
450                 AKMS=CXCHS
451                 AKHS=CXCHS
452                 QS=QLOW
453               ENDIF
455               ZU=FZU1*SQRT(SQRT(Z0*USTAR*RVISC))/USTAR
456               WGHT=AKMS*ZU*RVISC
457               RWGH=WGHT/(WGHT+1.)
458               UZ0=(ULOW*RWGH+UZ0)*0.5
459               VZ0=(VLOW*RWGH+VZ0)*0.5
461               ZT=FZT1*ZU
462               ZQ=FZQ1*ZT
463               WGHTT=AKHS*ZT*RTVISC
464               WGHTQ=AKHS*ZQ*RQVISC
466               IF(NTSD>1)THEN
467                 THZ0=((WGHTT*THLOW+THS)/(WGHTT+1.)+THZ0)*0.5
468                 QZ0=((WGHTQ*QLOW+QS)/(WGHTQ+1.)+QZ0)*0.5
469               ELSE
470                 THZ0=(WGHTT*THLOW+THS)/(WGHTT+1.)            
471                 QZ0=(WGHTQ*QLOW+QS)/(WGHTQ+1.)
472               ENDIF
474             ENDIF
476             IF(USTAR>=USTR.AND.USTAR<USTC)THEN
477               ZU=Z0
478               UZ0=0.
479               VZ0=0.
481               ZT=FZT2*SQRT(SQRT(Z0*USTAR*RVISC))/USTAR
482               ZQ=FZQ2*ZT
483               WGHTT=AKHS*ZT*RTVISC
484               WGHTQ=AKHS*ZQ*RQVISC
486               IF(NTSD>1)THEN
487                 THZ0=((WGHTT*THLOW+THS)/(WGHTT+1.)+THZ0)*0.5
488                 QZ0=((WGHTQ*QLOW+QS)/(WGHTQ+1.)+QZ0)*0.5
489               ELSE
490                 THZ0=(WGHTT*THLOW+THS)/(WGHTT+1.)
491                 QZ0=(WGHTQ*QLOW+QS)/(WGHTQ+1.)
492               ENDIF
494             ENDIF
495 !----------------------------------------------------------------------
496           ELSE
497 !----------------------------------------------------------------------
498             ZU=Z0
499             UZ0=0.
500             VZ0=0.
502             ZT=Z0
503             THZ0=THS
505             ZQ=Z0
506             QZ0=QS
507 !----------------------------------------------------------------------
508           ENDIF
509 !----------------------------------------------------------------------
510           TEM=(TLOW+TZ0)*0.5
511           THM=(THELOW+THZ0)*0.5
513           A=THM*P608
514           B=(ELOCP/TEM-1.-P608)*THM
516           DTHV=((THELOW-THZ0)*((QLOW+QZ0+CWMLOW)*(0.5*P608)+1.)        &
517      &        +(QLOW-QZ0+CWMLOW)*A+CWMLOW*B) 
519           DU2=MAX((ULOW-UZ0)**2+(VLOW-VZ0)**2,EPSU2)
520           RIB=BTGX*DTHV*ZSL/DU2
521 !----------------------------------------------------------------------
522 !         IF(RIB>=RIC)THEN
523 !----------------------------------------------------------------------
524 !           AKMS=MAX( VISC*RDZ,CXCHS)
525 !           AKHS=MAX(TVISC*RDZ,CXCHS)
526 !----------------------------------------------------------------------
527 !         ELSE  !  turbulent branch
528 !----------------------------------------------------------------------
529             ZSLU=ZSL+ZU
530             ZSLT=ZSL+ZT
532             RZSU=ZSLU/ZU
533             RZST=ZSLT/ZT
535             RLOGU=LOG(RZSU)
536             RLOGT=LOG(RZST)
538 !----------------------------------------------------------------------
539 !***  1./MONIN-OBUKHOV LENGTH
540 !----------------------------------------------------------------------
542             RLMO=ELFC*AKHS*DTHV/USTAR**3
544             ZETALU=ZSLU*RLMO
545             ZETALT=ZSLT*RLMO
546             ZETAU=ZU*RLMO
547             ZETAT=ZT*RLMO
549             ZETALU=MIN(MAX(ZETALU,ZTMIN1),ZTMAX1)
550             ZETALT=MIN(MAX(ZETALT,ZTMIN1),ZTMAX1)
551             ZETAU=MIN(MAX(ZETAU,ZTMIN1/RZSU),ZTMAX1/RZSU)
552             ZETAT=MIN(MAX(ZETAT,ZTMIN1/RZST),ZTMAX1/RZST)
554 !----------------------------------------------------------------------
555 !***   WATER FUNCTIONS
556 !----------------------------------------------------------------------
558             RZ=(ZETAU-ZTMIN1)/DZETA1
559             K=INT(RZ)
560             RDZT=RZ-REAL(K)
561             K=MIN(K,KZTM2)
562             K=MAX(K,0)
563             PSMZ=(PSIM1(K+2)-PSIM1(K+1))*RDZT+PSIM1(K+1)    !Interpolation from the table
565             RZ=(ZETALU-ZTMIN1)/DZETA1
566             K=INT(RZ)
567             RDZT=RZ-REAL(K)
568             K=MIN(K,KZTM2)
569             K=MAX(K,0)
570             PSMZL=(PSIM1(K+2)-PSIM1(K+1))*RDZT+PSIM1(K+1)
572             SIMM=PSMZL-PSMZ+RLOGU
574             RZ=(ZETAT-ZTMIN1)/DZETA1
575             K=INT(RZ)
576             RDZT=RZ-REAL(K)
577             K=MIN(K,KZTM2)
578             K=MAX(K,0)
579             PSHZ=(PSIH1(K+2)-PSIH1(K+1))*RDZT+PSIH1(K+1)
581             RZ=(ZETALT-ZTMIN1)/DZETA1
582             K=INT(RZ)
583             RDZT=RZ-REAL(K)
584             K=MIN(K,KZTM2)
585             K=MAX(K,0)
586             PSHZL=(PSIH1(K+2)-PSIH1(K+1))*RDZT+PSIH1(K+1)
588             SIMH=(PSHZL-PSHZ+RLOGT)*PRT0
589 !           SIMH=(PSHZL-PSHZ+RLOGT)*FH01
590 !----------------------------------------------------------------------
591             USTARK=USTAR*VKARMAN
592             AKMS=MAX(USTARK/SIMM,CXCHS)
593             AKHS=MAX(USTARK/SIMH,CXCHS)
595 !----------------------------------------------------------------------
596 !***  BELJAARS CORRECTION FOR USTAR (FOR CONVECTION)
597 !----------------------------------------------------------------------
599             IF(DTHV<=0.)THEN                                           !zj
600               WSTAR2=WWST2*ABS(BTGH*AKHS*DTHV)**(2./3.)                !zj
601             ELSE                                                       !zj
602               WSTAR2=0.                                                !zj
603             ENDIF                                                      !zj
604             USTAR=MAX(SQRT(AKMS*SQRT(DU2+WSTAR2)),EPSUST)
606 !----------------------------------------------------------------------
607 !         ENDIF  !  End of turbulent branch
608 !----------------------------------------------------------------------
610         ENDDO  !  End of the iteration loop over sea points
612 !----------------------------------------------------------------------
614 !***  LAND POINTS
616 !----------------------------------------------------------------------
618       ELSE  
620 !----------------------------------------------------------------------
621         IF(NTSD==1)THEN
622           QS=QLOW
623         ENDIF
625         ZU=Z0
626         UZ0=0.
627         VZ0=0.
629         ZT=ZU*ZTFC
630         THZ0=THS
631 !       RLOW=PLOW/(R_D*TLOW)          
633         ZQ=ZT
634         QZ0=QS
635 !----------------------------------------------------------------------
636         TEM=(TLOW+TZ0)*0.5
637         THM=(THELOW+THZ0)*0.5
639         A=THM*P608
640         B=(ELOCP/TEM-1.-P608)*THM
642         DTHV=((THELOW-THZ0)*((QLOW+QZ0+CWMLOW)*(0.5*P608)+1.)          &
643      &        +(QLOW-QZ0+CWMLOW)*A+CWMLOW*B) 
645         DU2=MAX((ULOW-UZ0)**2+(VLOW-VZ0)**2,EPSU2)
646         RIB=BTGX*DTHV*ZSL/DU2
647 !----------------------------------------------------------------------
648 !       IF(RIB>=RIC)THEN
649 !         AKMS=MAX( VISC*RDZ,CXCHL)
650 !         AKHS=MAX(TVISC*RDZ,CXCHL)
651 !----------------------------------------------------------------------
652 !       ELSE  !  Turbulent branch
653 !----------------------------------------------------------------------
654           ZSLU=ZSL+ZU
656           RZSU=ZSLU/ZU
658           RLOGU=LOG(RZSU)
660           ZSLT=ZSL+ZU ! u,v and t are at the same level
661 !----------------------------------------------------------------------
663 !mp   Topo modification of ZILFC term
664 !       
665           TOPOTERM=TOPOFAC*ZSFC**2.
666           TOPOTERM=MAX(TOPOTERM,3.0)
668           IF(DTHV>0.)THEN
669             ZZIL=ZILFC*TOPOTERM
670           ELSE
671             ZZIL=ZILFC
672           ENDIF
674 !----------------------------------------------------------------------
676           land_point_iteration: DO ITR=1,ITRMX
678 !----------------------------------------------------------------------
679 !***  ZILITINKEVITCH FIX FOR ZT
680 !----------------------------------------------------------------------
682 ! oldform   ZT=MAX(EXP(ZZIL*SQRT(USTAR*ZU))*ZU,EPSZT)
683             ZT=MAX(EXP(ZZIL*SQRT(USTAR*Z0BASE))*Z0BASE,EPSZT)
684             ZT=MAX(ZT,ZU*ZTFC)               !Quick fix by S. Sukoriansky
686             RZST=ZSLT/ZT
687             RLOGT=LOG(RZST)
689 !----------------------------------------------------------------------
690 !***  1./MONIN-OBUKHOV LENGTH-SCALE
691 !----------------------------------------------------------------------
693             RLMO=ELFC*AKHS*DTHV/USTAR**3
694             ZETALU=ZSLU*RLMO
695             ZETALT=ZSLT*RLMO
696             ZETAU=ZU*RLMO
697             ZETAT=ZT*RLMO
699             ZETALU=MIN(MAX(ZETALU,ZTMIN2),ZTMAX2)
700             ZETALT=MIN(MAX(ZETALT,ZTMIN2),ZTMAX2)
701             ZETAU=MIN(MAX(ZETAU,ZTMIN2/RZSU),ZTMAX2/RZSU)
702             ZETAT=MIN(MAX(ZETAT,ZTMIN2/RZST),ZTMAX2/RZST)
704 !----------------------------------------------------------------------
705 !***  LAND FUNCTIONS
706 !----------------------------------------------------------------------
708             RZ=(ZETAU-ZTMIN2)/DZETA2
709             K=INT(RZ)
710             RDZT=RZ-REAL(K)
711             K=MIN(K,KZTM2)
712             K=MAX(K,0)
713             PSMZ=(PSIM2(K+2)-PSIM2(K+1))*RDZT+PSIM2(K+1)
715             RZ=(ZETALU-ZTMIN2)/DZETA2
716             K=INT(RZ)
717             RDZT=RZ-REAL(K)
718             K=MIN(K,KZTM2)
719             K=MAX(K,0)
720             PSMZL=(PSIM2(K+2)-PSIM2(K+1))*RDZT+PSIM2(K+1)
722             SIMM=PSMZL-PSMZ+RLOGU
724             RZ=(ZETAT-ZTMIN2)/DZETA2
725             K=INT(RZ)
726             RDZT=RZ-REAL(K)
727             K=MIN(K,KZTM2)
728             K=MAX(K,0)
729             PSHZ=(PSIH2(K+2)-PSIH2(K+1))*RDZT+PSIH2(K+1)
731             RZ=(ZETALT-ZTMIN2)/DZETA2
732             K=INT(RZ)
733             RDZT=RZ-REAL(K)
734             K=MIN(K,KZTM2)
735             K=MAX(K,0)
736             PSHZL=(PSIH2(K+2)-PSIH2(K+1))*RDZT+PSIH2(K+1)
738             SIMH=(PSHZL-PSHZ+RLOGT)*PRT0
739 !           SIMH=(PSHZL-PSHZ+RLOGT)*FH02
740 !----------------------------------------------------------------------
741             USTARK=USTAR*VKARMAN
742             AKMS=MAX(USTARK/SIMM,CXCHL)
743             AKHS=MAX(USTARK/SIMH,CXCHL)
744             THZ0=HFX/(AKHS*RLOW*CP)+THLOW
745             TZ0=(PSFC*1.E-5)**CAPA*THZ0
747 !----------------------------------------------------------------------
748 !***  BELJAARS CORRECTION FOR USTAR
749 !----------------------------------------------------------------------
751             IF(DTHV<=0.)THEN                                           !zj
752               WSTAR2=WWST2*ABS(BTGH*AKHS*DTHV)**(2./3.)                !zj
753             ELSE                                                       !zj
754               WSTAR2=0.                                                !zj
755             ENDIF                                                      !zj
757             USTAR=MAX(SQRT(AKMS*SQRT(DU2+WSTAR2)),EPSUST)
759 !----------------------------------------------------------------------
760           ENDDO land_point_iteration
761 !----------------------------------------------------------------------
763 !       ENDIF  !  End of turbulant branch over land
765 !----------------------------------------------------------------------
767       ENDIF  !  End of land/sea branch
769 !----------------------------------------------------------------------
770 !***  COUNTERGRADIENT FIX
771 !----------------------------------------------------------------------
773 !     HV=-AKHS*DTHV
774 !     IF(HV>0.)THEN
775 !       FCT=-10.*(BTGX)**(-1./3.)
776 !       CT=FCT*(HV/(PBLH*PBLH))**(2./3.)
777 !     ELSE
778        CT=0.
779 !     ENDIF
781 !----------------------------------------------------------------------
782 !----------------------------------------------------------------------
783 !***  THE FOLLOWING DIAGNOSTIC BLOCK PRODUCES 2-m and 10-m VALUES
784 !***  FOR TEMPERATURE, MOISTURE, AND WINDS.  IT IS DONE HERE SINCE
785 !***  THE VARIOUS QUANTITIES NEEDED FOR THE COMPUTATION ARE LOST
786 !***  UPON EXIT FROM THE ROTUINE.
787 !----------------------------------------------------------------------
788 !----------------------------------------------------------------------
790       WSTAR=SQRT(WSTAR2)/WWST
792       UMFLX=AKMS*(ULOW -UZ0 )
793       VMFLX=AKMS*(VLOW -VZ0 )
794       HSFLX=AKHS*(THLOW-THZ0)
795       HLFLX=AKHS*(QLOW -QZ0 )
796 !----------------------------------------------------------------------
797 !     IF(RIB>=RIC)THEN
798 !----------------------------------------------------------------------
799 !       IF(SEAMASK>0.5)THEN
800 !         AKMS10=MAX( VISC/10.,CXCHS)
801 !         AKHS02=MAX(TVISC/02.,CXCHS)
802 !         AKHS10=MAX(TVISC/10.,CXCHS)
803 !       ELSE
804 !         AKMS10=MAX( VISC/10.,CXCHL)
805 !         AKHS02=MAX(TVISC/02.,CXCHL)
806 !         AKHS10=MAX(TVISC/10.,CXCHL)
807 !       ENDIF
808 !----------------------------------------------------------------------
809 !     ELSE
810 !----------------------------------------------------------------------
811         ZU10=ZU+10.
812         ZT02=ZT+02.
813         ZT10=ZT+10.
815         RLNU10=LOG(ZU10/ZU)
816         RLNT02=LOG(ZT02/ZT)
817         RLNT10=LOG(ZT10/ZT)
819         ZTAU10=ZU10*RLMO
820         ZTAT02=ZT02*RLMO
821         ZTAT10=ZT10*RLMO
823 !----------------------------------------------------------------------
824 !***  SEA
825 !----------------------------------------------------------------------
827         IF(SEAMASK>0.5)THEN
829 !----------------------------------------------------------------------
830           ZTAU10=MIN(MAX(ZTAU10,ZTMIN1),ZTMAX1)
831           ZTAT02=MIN(MAX(ZTAT02,ZTMIN1),ZTMAX1)
832           ZTAT10=MIN(MAX(ZTAT10,ZTMIN1),ZTMAX1)
833 !----------------------------------------------------------------------
834           RZ=(ZTAU10-ZTMIN1)/DZETA1
835           K=INT(RZ)
836           RDZT=RZ-REAL(K)
837           K=MIN(K,KZTM2)
838           K=MAX(K,0)
839           PSM10=(PSIM1(K+2)-PSIM1(K+1))*RDZT+PSIM1(K+1)
841           SIMM10=PSM10-PSMZ+RLNU10
843           RZ=(ZTAT02-ZTMIN1)/DZETA1
844           K=INT(RZ)
845           RDZT=RZ-REAL(K)
846           K=MIN(K,KZTM2)
847           K=MAX(K,0)
848           PSH02=(PSIH1(K+2)-PSIH1(K+1))*RDZT+PSIH1(K+1)
850           SIMH02=(PSH02-PSHZ+RLNT02)*PRT0
851 !         SIMH02=(PSH02-PSHZ+RLNT02)*FH01
853           RZ=(ZTAT10-ZTMIN1)/DZETA1
854           K=INT(RZ)
855           RDZT=RZ-REAL(K)
856           K=MIN(K,KZTM2)
857           K=MAX(K,0)
858           PSH10=(PSIH1(K+2)-PSIH1(K+1))*RDZT+PSIH1(K+1)
860           SIMH10=(PSH10-PSHZ+RLNT10)*PRT0
861 !         SIMH10=(PSH10-PSHZ+RLNT10)*FH01
863           AKMS10=MAX(USTARK/SIMM10,CXCHS)
864           AKHS02=MAX(USTARK/SIMH02,CXCHS)
865           AKHS10=MAX(USTARK/SIMH10,CXCHS)
867 !----------------------------------------------------------------------
868 !***  LAND
869 !----------------------------------------------------------------------
871         ELSE
873 !----------------------------------------------------------------------
874           ZTAU10=MIN(MAX(ZTAU10,ZTMIN2),ZTMAX2)
875           ZTAT02=MIN(MAX(ZTAT02,ZTMIN2),ZTMAX2)
876           ZTAT10=MIN(MAX(ZTAT10,ZTMIN2),ZTMAX2)
877 !----------------------------------------------------------------------
878           RZ=(ZTAU10-ZTMIN2)/DZETA2
879           K=INT(RZ)
880           RDZT=RZ-REAL(K)
881           K=MIN(K,KZTM2)
882           K=MAX(K,0)
883           PSM10=(PSIM2(K+2)-PSIM2(K+1))*RDZT+PSIM2(K+1)
885           SIMM10=PSM10-PSMZ+RLNU10
887           RZ=(ZTAT02-ZTMIN2)/DZETA2
888           K=INT(RZ)
889           RDZT=RZ-REAL(K)
890           K=MIN(K,KZTM2)
891           K=MAX(K,0)
892           PSH02=(PSIH2(K+2)-PSIH2(K+1))*RDZT+PSIH2(K+1)
894           SIMH02=(PSH02-PSHZ+RLNT02)*PRT0
895 !         SIMH02=(PSH02-PSHZ+RLNT02)*FH02
897           RZ=(ZTAT10-ZTMIN2)/DZETA2
898           K=INT(RZ)
899           RDZT=RZ-REAL(K)
900           K=MIN(K,KZTM2)
901           K=MAX(K,0)
902           PSH10=(PSIH2(K+2)-PSIH2(K+1))*RDZT+PSIH2(K+1)
904           SIMH10=(PSH10-PSHZ+RLNT10)*PRT0
905 !         SIMH10=(PSH10-PSHZ+RLNT10)*FH02
907           AKMS10=MAX(USTARK/SIMM10,CXCHL)
908           AKHS02=MAX(USTARK/SIMH02,CXCHL)
909           AKHS10=MAX(USTARK/SIMH10,CXCHL)
910 !----------------------------------------------------------------------
911         ENDIF
912 !----------------------------------------------------------------------
913 !     ENDIF
914 !----------------------------------------------------------------------
915       U10 =UMFLX/AKMS10+UZ0
916       V10 =VMFLX/AKMS10+VZ0
917       TH02=HSFLX/AKHS02+THZ0
918       TH10=HSFLX/AKHS10+THZ0
919       Q02 =HLFLX/AKHS02+QZ0
920       Q10 =HLFLX/AKHS10+QZ0
921       TERM1=-0.068283/TLOW
922       PSHLTR=PSFC*EXP(TERM1)
924 !----------------------------------------------------------------------
925 !***  COMPUTE "EQUIVALENT" Z0 TO APPROXIMATE LOCAL SHELTER READINGS.
926 !----------------------------------------------------------------------
928       U10E=U10
929       V10E=V10
931       IF(SEAMASK<0.5)THEN
933 !1st        ZUUZ=MIN(0.5*ZU,0.1)
934 !1st        ZU=MAX(0.1*ZU,ZUUZ)
935 !tst        ZUUZ=amin1(ZU*0.50,0.3)
936 !tst        ZU=amax1(ZU*0.3,ZUUZ)
938         ZUUZ=AMIN1(ZU*0.50,0.18)
939         ZU=AMAX1(ZU*0.35,ZUUZ)
941         ZU10=ZU+10.
942         RZSU=ZU10/ZU
943         RLNU10=LOG(RZSU)
945         ZETAU=ZU*RLMO
946         ZTAU10=ZU10*RLMO
948         ZTAU10=MIN(MAX(ZTAU10,ZTMIN2),ZTMAX2)
949         ZETAU=MIN(MAX(ZETAU,ZTMIN2/RZSU),ZTMAX2/RZSU)
951         RZ=(ZTAU10-ZTMIN2)/DZETA2
952         K=INT(RZ)
953         RDZT=RZ-REAL(K)
954         K=MIN(K,KZTM2)
955         K=MAX(K,0)
956         PSM10=(PSIM2(K+2)-PSIM2(K+1))*RDZT+PSIM2(K+1)
957         SIMM10=PSM10-PSMZ+RLNU10
958         EKMS10=MAX(USTARK/SIMM10,CXCHL)
960         U10E=UMFLX/EKMS10+UZ0
961         V10E=VMFLX/EKMS10+VZ0
963       ENDIF
965 !     U10=U10E
966 !     V10=V10E
968 !----------------------------------------------------------------------
969 !***  SET OTHER WRF DRIVER ARRAYS
970 !----------------------------------------------------------------------
972       CHS=AKHS
973       CHS2=AKHS02
974       CQS2=AKHS02
975      ! IF(SEAMASK.EQ.1) THEN
976      !  print*,'HSFLX=',HSFLX
977      !  print*,'RLOW=',RLOW
978      !  print*,'********'
979      ! END IF
980       IF ( PRESENT(SCM_FORCE_FLUX) ) THEN              
981          IF (SCM_FORCE_FLUX.EQ.0) THEN              
982            HFX=-RLOW*CP*HSFLX
983            QFX=-RLOW*HLFLX*WETM
984          ENDIF
985       ENDIF
986       FLX_LH=XLV*QFX
987       FLHC=RLOW*CP*AKHS
988       FLQC=RLOW*AKHS*WETM
989 !!!   QGH=PQ0/PSHLTR*EXP(A2S*(TSK-A3S)/(TSK-A4S))
990       QGH=((1.-SEAMASK)*PQ0+SEAMASK*PQ0SEA)                            &
991      &     /PLOW*EXP(A2S*(TLOW-A3S)/(TLOW-A4S))
992       QGH=QGH/(1.-QGH)    !Convert to mixing ratio
993       CPM=CP*(1.+0.8*QLOW)
995 !***  DO NOT COMPUTE QS OVER LAND POINTS HERE SINCE IT IS
996 !***  A PROGNOSTIC VARIABLE THERE.  IT IS OKAY TO USE IT 
997 !***  AS A DIAGNOSTIC OVER WATER SINCE IT WILL CAUSE NO
998 !***  INTERFERENCE BEFORE BEING RECOMPUTED IN MYJPBL.
1000       IF(SEAMASK>0.5)THEN
1001         QS=QLOW+QFX/(RLOW*AKHS)
1002         QS=QS/(1.-QS)
1003       ENDIF
1004 !----------------------------------------------------------------------
1006       END SUBROUTINE SFCDIF
1008 !----------------------------------------------------------------------
1009       SUBROUTINE QNSESFCINIT(LOWLYR,USTAR,Z0                            &
1010      &                     ,SEAMASK,XICE,IVGTYP,RESTART                &
1011      &                     ,ALLOWED_TO_READ                            &
1012      &                     ,IDS,IDE,JDS,JDE,KDS,KDE                    &
1013      &                     ,IMS,IME,JMS,JME,KMS,KME                    &
1014      &                     ,ITS,ITE,JTS,JTE,KTS,KTE)
1015 !----------------------------------------------------------------------
1016       IMPLICIT NONE
1017 !----------------------------------------------------------------------
1018       LOGICAL,INTENT(IN) :: RESTART,ALLOWED_TO_READ
1020       INTEGER,INTENT(IN) :: IDS,IDE,JDS,JDE,KDS,KDE                    &
1021      &                     ,IMS,IME,JMS,JME,KMS,KME                    &
1022      &                     ,ITS,ITE,JTS,JTE,KTS,KTE
1024       INTEGER,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: IVGTYP
1026       INTEGER,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: LOWLYR
1028       REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(IN) :: SEAMASK,XICE
1030       REAL,DIMENSION(IMS:IME,JMS:JME),INTENT(INOUT) :: USTAR,Z0
1032       REAL,DIMENSION(0:30) :: VZ0TBL
1033       REAL,DIMENSION(0:30) :: VZ0TBL_24
1035       INTEGER :: I,IDUM,IRECV,J,JDUM,K,ITF,JTF,KTF,MAXGBL_IVGTYP       &
1036      &,          MAXLOC_IVGTYP,MPI_COMM_COMP
1038 !     INTEGER :: MPI_INTEGER,MPI_MAX
1040       REAL :: SM,X,ZETA1,ZETA2,ZRNG1,ZRNG2,PSIMQ,PSIHQ
1042       REAL :: PIHF=3.1415926/2.,EPS=1.E-6
1043 !----------------------------------------------------------------------
1044       VZ0TBL=                                                          &
1045      &  (/0.,                                                          &
1046      &    2.653,0.826,0.563,1.089,0.854,0.856,0.035,0.238,0.065,0.076  &
1047      &   ,0.011,0.035,0.011,0.000,0.000,0.000,0.000,0.000,0.000,0.000  &
1048      &   ,0.000,0.000,0.000,0.000,0.000,0.000,0.000,0.000,0.000,0.000/)
1050       VZ0TBL_24= (/0.,                                                 &
1051      &            1.00,  0.07,  0.07,  0.07,  0.07,  0.15,             &
1052      &            0.08,  0.03,  0.05,  0.86,  0.80,  0.85,             &
1053      &            2.65,  1.09,  0.80,  0.001, 0.04,  0.05,             &
1054      &            0.01,  0.04,  0.06,  0.05,  0.03,  0.001,            &
1055      &            0.000, 0.000, 0.000, 0.000, 0.000, 0.000/)
1057 !----------------------------------------------------------------------
1059       JTF=MIN0(JTE,JDE-1)
1060       KTF=MIN0(KTE,KDE-1)
1061       ITF=MIN0(ITE,IDE-1)
1064 !***  FOR NOW, ASSUME SIGMA MODE FOR LOWEST MODEL LAYER
1066       DO J=JTS,JTF
1067       DO I=ITS,ITF
1068         LOWLYR(I,J)=1
1069 !       USTAR(I,J)=EPSUST
1070       ENDDO
1071       ENDDO
1072 !----------------------------------------------------------------------
1073 #if (NMM_CORE == 1)
1075       IF(.NOT.RESTART)THEN
1076 !       CALL WRF_GET_DM_COMMUNICATOR(MPI_COMM_COMP)
1077 !       MAXLOC_IVGTYP=MAXVAL(IVGTYP)
1078 !       CALL MPI_ALLREDUCE(MAXLOC_IVGTYP,MAXGBL_IVGTYP,1,MPI_INTEGER   &
1079 !    &,                    MPI_MAX,MPI_COMM_COMP,IRECV)
1080         MAXGBL_IVGTYP=MAXVAL(IVGTYP)
1082 #ifdef DM_PARALLEL
1083         CALL WRF_DM_MAXVAL(MAXGBL_IVGTYP,IDUM,JDUM)
1084 #endif
1087         IF (MAXGBL_IVGTYP<13) THEN
1088           DO J=JTS,JTE
1089           DO I=ITS,ITE
1090             SM=SEAMASK(I,J)-1.
1091             IF(SM+XICE(I,J)<0.5)THEN
1092               Z0(I,J)=VZ0TBL(IVGTYP(I,J))
1093             ENDIF
1094           ENDDO
1095           ENDDO
1097         ELSE
1099           DO J=JTS,JTE
1100           DO I=ITS,ITE
1101             SM=SEAMASK(I,J)-1.
1102             IF(SM+XICE(I,J)<0.5)THEN
1103               Z0(I,J)=VZ0TBL_24(IVGTYP(I,J))
1104             ENDIF
1105           ENDDO
1106           ENDDO
1108         ENDIF ! Vegtype check
1110       ENDIF ! Restart check
1111 #endif
1112 !----------------------------------------------------------------------
1113       IF(.NOT.RESTART)THEN
1114         DO J=JTS,JTE
1115         DO I=ITS,ITF
1116           USTAR(I,J)=0.1
1117         ENDDO
1118         ENDDO
1119       ENDIF
1120 !----------------------------------------------------------------------
1122 !***  COMPUTE SURFACE LAYER INTEGRAL FUNCTIONS
1124 !----------------------------------------------------------------------
1125       FH01=1.
1126       FH02=1.
1128 !      ZTMIN1=-10.0
1129 !      ZTMAX1=2.0
1130 !      ZTMIN2=-10.0
1131 !      ZTMAX2=2.0
1132       ZTMIN1=-5.0
1133 !      ZTMAX1=3.0
1134       ZTMAX1=2.3   ! changed
1135       ZTMIN2=-5.0
1136 !      ZTMAX2=3.0
1137       ZTMAX2=2.3   ! changed
1139       ZRNG1=ZTMAX1-ZTMIN1
1140       ZRNG2=ZTMAX2-ZTMIN2
1142       DZETA1=ZRNG1/(KZTM-1)
1143       DZETA2=ZRNG2/(KZTM-1)
1145 !----------------------------------------------------------------------
1146 !***  FUNCTION DEFINITION LOOP
1147 !----------------------------------------------------------------------
1149       ZETA1=ZTMIN1
1150       ZETA2=ZTMIN2
1152       DO K=1,KZTM
1154 !----------------------------------------------------------------------
1155 !***  UNSTABLE RANGE
1156 !----------------------------------------------------------------------
1158         IF(ZETA1<0.)THEN
1160 !----------------------------------------------------------------------
1161 !***  PAULSON 1970 FUNCTIONS
1162 !----------------------------------------------------------------------
1163           X=SQRT(SQRT(1.-16.*ZETA1))
1165           PSIM1(K)=-2.*LOG((X+1.)/2.)-LOG((X*X+1.)/2.)+2.*ATAN(X)-PIHF
1166           PSIH1(K)=-2.*LOG((X*X+1.)/2.)
1168 !----------------------------------------------------------------------
1169 !***  DERIVED BY S. SUKORIANSKY USING QNSE THEORY
1170 !----------------------------------------------------------------------
1172           PSIMQ=2.25*ZETA1+ZETA1**2+45.9*ZETA1**3
1173           PSIHQ=2.0*ZETA1+10.3*ZETA1**2+130*ZETA1**3
1174 !         PSIHQ=1.45*ZETA1+7.42*ZETA1**2+93.5*ZETA1**3      ! /PRT0
1175           PSIM1(K)=MAX(PSIMQ,PSIM1(K))
1176           PSIH1(K)=MAX(PSIHQ,PSIH1(K))
1178 !----------------------------------------------------------------------
1179 !***  STABLE RANGE
1180 !----------------------------------------------------------------------
1182         ELSE
1184 !----------------------------------------------------------------------
1185 !***  PAULSON 1970 FUNCTIONS
1186 !----------------------------------------------------------------------
1188 !         PSIM1(K)=5.*ZETA1
1189 !         PSIH1(K)=5.*ZETA1
1190 !----------------------------------------------------------------------
1191 !***   HOLTSLAG AND DE BRUIN 1988
1192 !----------------------------------------------------------------------
1194 !         PSIM1(K)=0.7*ZETA1+0.75*ZETA1*(6.-0.35*ZETA1)*EXP(-0.35*ZETA1)
1195 !         PSIH1(K)=0.7*ZETA1+0.75*ZETA1*(6.-0.35*ZETA1)*EXP(-0.35*ZETA1)
1197 !----------------------------------------------------------------------
1198 !***  DERIVED BY S. SUKORIANSKY USING QNSE THEORY
1199 !----------------------------------------------------------------------
1201           PSIM1(K)=2.25*ZETA1-0.2*ZETA1*ZETA1
1202           PSIH1(K)=2.0*ZETA1+0.14*((ZETA1-0.5)**5+0.03125)
1203 !         PSIH1(K)=1.42*ZETA1+0.1*((ZETA1-0.5)**5+0.03125)  !/PRT0
1204 !----------------------------------------------------------------------
1206         ENDIF
1208 !----------------------------------------------------------------------
1209 !***  UNSTABLE RANGE
1210 !----------------------------------------------------------------------
1212         IF(ZETA2<0.)THEN
1214 !----------------------------------------------------------------------
1215 !***  PAULSON 1970 FUNCTIONS
1216 !----------------------------------------------------------------------
1218           X=SQRT(SQRT(1.-16.*ZETA2))
1220           PSIM2(K)=-2.*LOG((X+1.)/2.)-LOG((X*X+1.)/2.)+2.*ATAN(X)-PIHF
1221           PSIH2(K)=-2.*LOG((X*X+1.)/2.)
1223 !----------------------------------------------------------------------
1224 !***  DERIVED BY S. SUKORIANSKY USING QNSE THEORY
1225 !----------------------------------------------------------------------
1227           PSIMQ=2.25*ZETA2+ZETA2**2+45.9*ZETA2**3
1228           PSIHQ=2.0*ZETA2+10.3*ZETA2**2+130*ZETA2**3
1229 !         PSIHQ=1.45*ZETA2+7.42*ZETA2**2+93.5*ZETA2**3      ! /PRT0
1230           PSIM2(K)=MAX(PSIMQ,PSIM2(K))
1231           PSIH2(K)=MAX(PSIHQ,PSIH2(K))
1233 !----------------------------------------------------------------------
1234 !***  STABLE RANGE
1235 !----------------------------------------------------------------------
1237         ELSE
1239 !----------------------------------------------------------------------
1240 !***  PAULSON 1970 FUNCTIONS
1241 !----------------------------------------------------------------------
1243 !         PSIM2(K)=5.*ZETA2
1244 !         PSIH2(K)=5.*ZETA2
1246 !----------------------------------------------------------------------
1247 !***  HOLTSLAG AND DE BRUIN 1988
1248 !----------------------------------------------------------------------
1250 !         PSIM2(K)=0.7*ZETA2+0.75*ZETA2*(6.-0.35*ZETA2)*EXP(-0.35*ZETA2)
1251 !         PSIH2(K)=0.7*ZETA2+0.75*ZETA2*(6.-0.35*ZETA2)*EXP(-0.35*ZETA2)
1253 !----------------------------------------------------------------------
1254 !***  DERIVED BY S. SUKORIANSKY USING QNSE THEORY
1255 !----------------------------------------------------------------------
1257           PSIM2(K)=2.25*ZETA2-0.2*ZETA2*ZETA2
1258           PSIH2(K)=2.0*ZETA2+0.14*((ZETA2-0.5)**5+0.03125)
1259 !         PSIH2(K)=1.42*ZETA2+0.1*((ZETA2-0.5)**5+0.03125)  !/PRT0
1260 !----------------------------------------------------------------------
1262         ENDIF
1264 !----------------------------------------------------------------------
1265         IF(K==KZTM)THEN
1266           ZTMAX1=ZETA1
1267           ZTMAX2=ZETA2
1268         ENDIF
1270         ZETA1=ZETA1+DZETA1
1271         ZETA2=ZETA2+DZETA2
1272 !----------------------------------------------------------------------
1273       ENDDO
1274 !----------------------------------------------------------------------
1275       ZTMAX1=ZTMAX1-EPS
1276       ZTMAX2=ZTMAX2-EPS
1277 !----------------------------------------------------------------------
1279       END SUBROUTINE QNSESFCINIT
1281 !----------------------------------------------------------------------
1283       END MODULE MODULE_SF_QNSESFC
1285 !----------------------------------------------------------------------