C $Header: /home/ubuntu/mnt/e9_copy/MITgcm/pkg/fizhi/fizhi_utils.F,v 1.16 2009/03/30 02:14:48 jmc Exp $ C $Name: $ #include "FIZHI_OPTIONS.h" function minval (q,im) implicit none integer im, i _RL q(im), minval minval = 1.e15 do i=1,im if( q(i).lt.minval ) minval = q(i) enddo return end FUNCTION ERRF (ARG) C*********************************************************************** C FUNCTION ERRF C PURPOSE C COMPUTES ERROR FUNCTION OF ARGUMENT C USAGE C CALLED BY TRBFLX C DESCRIPTION OF PARAMETERS C ARG - INPUTED ARGUMENT C REMARKS: C USED TO COMPUTE FRACTIONAL CLOUD COVER AND LIQUID WATER CONTENT C FROM TURBULENCE STATISTICS C ********************************************************************** implicit none _RL arg,errf _RL aa1,aa2,aa3,aa4,aa5,pp,x2,x3,x4,x5 PARAMETER ( AA1 = 0.254829592 ) PARAMETER ( AA2 = -0.284496736 ) PARAMETER ( AA3 = 1.421413741 ) PARAMETER ( AA4 = -1.453152027 ) PARAMETER ( AA5 = 1.061405429 ) PARAMETER ( PP = 0.3275911 ) PARAMETER ( X2 = AA2 / AA1 ) PARAMETER ( X3 = AA3 / AA2 ) PARAMETER ( X4 = AA5 / AA3 ) PARAMETER ( X5 = AA5 / AA4 ) _RL aarg,tt ERRF = 1. AARG=ABS(ARG) IF ( AARG .LT. 4.0 ) THEN TT = 1./(1.+PP*AARG) ERRF = 1. - 1 (AA1*TT*(1.+X2*TT*(1.+X3*TT*(1.+X4*TT*(1.+X5*TT))))) 2 * EXP(-AARG*AARG) ENDIF IF ( ARG .LT. 0.0 ) ERRF = -ERRF RETURN END SUBROUTINE STRIP(A,B,IA,IB,L,K) implicit none integer ia,ib,L,K _RL A(IA,L), B(IB,L) INTEGER OFFSET,Lena,i,j OFFSET = IB*(K-1) Lena = MIN(IB,IA-OFFSET) OFFSET = OFFSET+1 IF(Lena.EQ.IB) THEN DO 100 J=1,L DO 100 I=1,Lena B(I,J) = A(I+OFFSET-1,J) 100 CONTINUE ELSE DO 200 J=1,L DO 300 I=1,Lena B(I,J) = A(I+OFFSET-1,J) 300 CONTINUE DO 400 I=1,IB-Lena B(Lena+I,J) = A(Lena+OFFSET-1,J) 400 CONTINUE 200 CONTINUE ENDIF RETURN END SUBROUTINE STRIPINT(A,B,IA,IB,L,K) implicit none integer ia,ib,L,K INTEGER A(IA,L), B(IB,L) INTEGER OFFSET,Lena,i,j OFFSET = IB*(K-1) Lena = MIN(IB,IA-OFFSET) OFFSET = OFFSET+1 IF(Lena.EQ.IB) THEN DO 100 J=1,L DO 100 I=1,Lena B(I,J) = A(I+OFFSET-1,J) 100 CONTINUE ELSE DO 200 J=1,L DO 300 I=1,Lena B(I,J) = A(I+OFFSET-1,J) 300 CONTINUE DO 400 I=1,IB-Lena B(Lena+I,J) = A(Lena+OFFSET-1,J) 400 CONTINUE 200 CONTINUE ENDIF RETURN END SUBROUTINE PASTE(B,A,IB,IA,L,K) implicit none integer ia,ib,L,K _RL A(IA,L), B(IB,L) INTEGER OFFSET,Lena,i,j OFFSET = IB*(K-1) Lena = MIN(IB,IA-OFFSET) OFFSET = OFFSET+1 DO 100 J=1,L DO 100 I=1,Lena A(I+OFFSET-1,J) = B(I,J) 100 CONTINUE RETURN END SUBROUTINE PSTBMP(B,A,IB,IA,L,K) implicit none integer ia,ib,L,K _RL A(IA,L), B(IB,L) INTEGER OFFSET,Lena,i,j OFFSET = IB*(K-1) Lena = MIN(IB,IA-OFFSET) OFFSET = OFFSET+1 DO 100 J=1,L DO 100 I=1,Lena A(I+OFFSET-1,J) = A(I+OFFSET-1,J) + B(I,J) 100 CONTINUE C RETURN END SUBROUTINE STRINT(A,B,IA,IB,L,K) implicit none integer ia,ib,L,K INTEGER A(IA,L), B(IB,L) INTEGER OFFSET,Lena,i,j OFFSET = IB*(K-1) Lena = MIN(IB,IA-OFFSET) OFFSET = OFFSET+1 IF(Lena.EQ.IB) THEN DO 100 J=1,L DO 100 I=1,Lena B(I,J) = A(I+OFFSET-1,J) 100 CONTINUE ELSE DO 200 J=1,L DO 300 I=1,Lena B(I,J) = A(I+OFFSET-1,J) 300 CONTINUE DO 400 I=1,IB-Lena B(Lena+I,J) = A(Lena+OFFSET-1,J) 400 CONTINUE 200 CONTINUE ENDIF RETURN END SUBROUTINE QSAT (TT,P,Q,DQDT,LDQDT) C*********************************************************************** C C PURPOSE: C ======== C Compute Saturation Specific Humidity C C INPUT: C ====== C TT ......... Temperature (Kelvin) C P .......... Pressure (mb) C LDQDT ...... Logical Flag to compute QSAT Derivative C C OUTPUT: C ======= C Q .......... Saturation Specific Humidity C DQDT ....... Saturation Specific Humidity Derivative wrt Temperature C C C*********************************************************************** IMPLICIT NONE _RL TT, P, Q, DQDT LOGICAL LDQDT _RL AIRMW, H2OMW PARAMETER ( AIRMW = 28.97 ) PARAMETER ( H2OMW = 18.01 ) _RL ESFAC, ERFAC PARAMETER ( ESFAC = H2OMW/AIRMW ) PARAMETER ( ERFAC = (1.0-ESFAC)/ESFAC ) _RL aw0, aw1, aw2, aw3, aw4, aw5, aw6 _RL bw0, bw1, bw2, bw3, bw4, bw5, bw6 _RL ai0, ai1, ai2, ai3, ai4, ai5, ai6 _RL bi0, bi1, bi2, bi3, bi4, bi5, bi6 _RL d0, d1, d2, d3, d4, d5, d6 _RL e0, e1, e2, e3, e4, e5, e6 _RL f0, f1, f2, f3, f4, f5, f6 _RL g0, g1, g2, g3, g4, g5, g6 c ******************************************************** c *** Polynomial Coefficients WRT Water (Lowe, 1977) **** c *** (Valid +50 C to -50 C) **** c ******************************************************** parameter ( aw0 = 6.107799961e+00 * esfac ) parameter ( aw1 = 4.436518521e-01 * esfac ) parameter ( aw2 = 1.428945805e-02 * esfac ) parameter ( aw3 = 2.650648471e-04 * esfac ) parameter ( aw4 = 3.031240396e-06 * esfac ) parameter ( aw5 = 2.034080948e-08 * esfac ) parameter ( aw6 = 6.136820929e-11 * esfac ) parameter ( bw0 = +4.438099984e-01 * esfac ) parameter ( bw1 = +2.857002636e-02 * esfac ) parameter ( bw2 = +7.938054040e-04 * esfac ) parameter ( bw3 = +1.215215065e-05 * esfac ) parameter ( bw4 = +1.036561403e-07 * esfac ) parameter ( bw5 = +3.532421810e-10 * esfac ) parameter ( bw6 = -7.090244804e-13 * esfac ) c ******************************************************** c *** Polynomial Coefficients WRT Ice (Lowe, 1977) **** c *** (Valid +0 C to -50 C) **** c ******************************************************** parameter ( ai0 = +6.109177956e+00 * esfac ) parameter ( ai1 = +5.034698970e-01 * esfac ) parameter ( ai2 = +1.886013408e-02 * esfac ) parameter ( ai3 = +4.176223716e-04 * esfac ) parameter ( ai4 = +5.824720280e-06 * esfac ) parameter ( ai5 = +4.838803174e-08 * esfac ) parameter ( ai6 = +1.838826904e-10 * esfac ) parameter ( bi0 = +5.030305237e-01 * esfac ) parameter ( bi1 = +3.773255020e-02 * esfac ) parameter ( bi2 = +1.267995369e-03 * esfac ) parameter ( bi3 = +2.477563108e-05 * esfac ) parameter ( bi4 = +3.005693132e-07 * esfac ) parameter ( bi5 = +2.158542548e-09 * esfac ) parameter ( bi6 = +7.131097725e-12 * esfac ) c ******************************************************** c *** Polynomial Coefficients WRT Ice **** c *** Starr and Cox (1985) (Valid -40 C to -70 C) **** c ******************************************************** parameter ( d0 = 0.535098336e+01 * esfac ) parameter ( d1 = 0.401390832e+00 * esfac ) parameter ( d2 = 0.129690326e-01 * esfac ) parameter ( d3 = 0.230325039e-03 * esfac ) parameter ( d4 = 0.236279781e-05 * esfac ) parameter ( d5 = 0.132243858e-07 * esfac ) parameter ( d6 = 0.314296723e-10 * esfac ) parameter ( e0 = 0.469290530e+00 * esfac ) parameter ( e1 = 0.333092511e-01 * esfac ) parameter ( e2 = 0.102164528e-02 * esfac ) parameter ( e3 = 0.172979242e-04 * esfac ) parameter ( e4 = 0.170017544e-06 * esfac ) parameter ( e5 = 0.916466531e-09 * esfac ) parameter ( e6 = 0.210844486e-11 * esfac ) c ******************************************************** c *** Polynomial Coefficients WRT Ice **** c *** Starr and Cox (1985) (Valid -65 C to -95 C) **** c ******************************************************** parameter ( f0 = 0.298152339e+01 * esfac ) parameter ( f1 = 0.191372282e+00 * esfac ) parameter ( f2 = 0.517609116e-02 * esfac ) parameter ( f3 = 0.754129933e-04 * esfac ) parameter ( f4 = 0.623439266e-06 * esfac ) parameter ( f5 = 0.276961083e-08 * esfac ) parameter ( f6 = 0.516000335e-11 * esfac ) parameter ( g0 = 0.312654072e+00 * esfac ) parameter ( g1 = 0.195789002e-01 * esfac ) parameter ( g2 = 0.517837908e-03 * esfac ) parameter ( g3 = 0.739410547e-05 * esfac ) parameter ( g4 = 0.600331350e-07 * esfac ) parameter ( g5 = 0.262430726e-09 * esfac ) parameter ( g6 = 0.481960676e-12 * esfac ) _RL TMAX, TICE PARAMETER ( TMAX=323.15, TICE=273.16) _RL T, D, W, QX, DQX T = MIN(TT,TMAX) - TICE DQX = 0. QX = 0. c Fitting for temperatures above 0 degrees centigrade c --------------------------------------------------- if(t.gt.0.) then qx = aw0+T*(aw1+T*(aw2+T*(aw3+T*(aw4+T*(aw5+T*aw6))))) if (ldqdt) then dqx = bw0+T*(bw1+T*(bw2+T*(bw3+T*(bw4+T*(bw5+T*bw6))))) endif endif c Fitting for temperatures between 0 and -40 c ------------------------------------------ if( t.le.0. .and. t.gt.-40.0 ) then w = (40.0 + t)/40.0 qx = w *(aw0+T*(aw1+T*(aw2+T*(aw3+T*(aw4+T*(aw5+T*aw6)))))) . + (1.-w)*(ai0+T*(ai1+T*(ai2+T*(ai3+T*(ai4+T*(ai5+T*ai6)))))) if (ldqdt) then dqx = w *(bw0+T*(bw1+T*(bw2+T*(bw3+T*(bw4+T*(bw5+T*bw6)))))) . + (1.-w)*(bi0+T*(bi1+T*(bi2+T*(bi3+T*(bi4+T*(bi5+T*bi6)))))) endif endif c Fitting for temperatures between -40 and -70 c -------------------------------------------- if( t.le.-40.0 .and. t.ge.-70.0 ) then qx = d0+T*(d1+T*(d2+T*(d3+T*(d4+T*(d5+T*d6))))) if (ldqdt) then dqx = e0+T*(e1+T*(e2+T*(e3+T*(e4+T*(e5+T*e6))))) endif endif c Fitting for temperatures less than -70 c -------------------------------------- if(t.lt.-70.0) then qx = f0+t*(f1+t*(f2+t*(f3+t*(f4+t*(f5+t*f6))))) if (ldqdt) then dqx = g0+t*(g1+t*(g2+t*(g3+t*(g4+t*(g5+t*g6))))) endif endif c Compute Saturation Specific Humidity c ------------------------------------ D = (P-ERFAC*QX) IF(D.LT.0.) THEN Q = 1.0 IF (LDQDT) DQDT = 0. ELSE D = 1.0 / D Q = MIN(QX * D,1.0 _d 0) IF (LDQDT) DQDT = (1.0 + ERFAC*Q) * D * DQX ENDIF RETURN END subroutine vqsat (tt,p,q,dqdt,ldqdt,n) implicit none integer i,n logical ldqdt _RL tt(n), p(n), q(n), dqdt(n) #ifdef CRAY #ifdef f77 cfpp$ expand (qsat) #endif #endif do i=1,n call qsat ( tt(i),p(i),q(i),dqdt(i),ldqdt ) enddo return end subroutine stripit(a,b,irun,ia,ib,l,k) implicit none integer ia,ib,irun,l,k _RL a(ia,l), b(ib,l) integer i,j,Lena,offset offset = ib*(k-1) Lena = min(ib,irun-offset) offset = offset+1 if(Lena.eq.ib) then do 100 j=1,l do 100 i=1,Lena b(i,j) = a(i+offset-1,j) 100 continue else do 200 j=1,l do 300 i=1,Lena b(i,j) = a(i+offset-1,j) 300 continue do 400 i=1,ib-Lena b(Lena+i,j) = a(Lena+offset-1,j) 400 continue 200 continue endif return end subroutine stripitint(a,b,irun,ia,ib,l,k) implicit none integer ia,ib,irun,l,k,a(ia,l),b(ib,l) integer i,j,Lena,offset offset = ib*(k-1) Lena = min(ib,irun-offset) offset = offset+1 if(Lena.eq.ib) then do 100 j=1,l do 100 i=1,Lena b(i,j) = a(i+offset-1,j) 100 continue else do 200 j=1,l do 300 i=1,Lena b(i,j) = a(i+offset-1,j) 300 continue do 400 i=1,ib-Lena b(Lena+i,j) = a(Lena+offset-1,j) 400 continue 200 continue endif return end subroutine pastit(b,a,ib,ia,irun,L,k) implicit none integer ib,ia,L,k,irun,Lena,offset integer i,j _RL a(ia,l), b(ib,l) offset = ib*(k-1) Lena = min(ib,irun-offset) offset = offset+1 do 100 j=1,L do 100 i=1,Lena a(i+offset-1,j) = b(i,j) 100 continue return end subroutine pstbitint(b,a,ib,ia,irun,l,k) implicit none integer ib,ia,L,k,irun,Lena,offset _RL a(ia,l) integer b(ib,l) integer i,j offset = ib*(k-1) Lena = min(ib,irun-offset) offset = offset+1 do 100 j=1,L do 100 i=1,Lena a(i+offset-1,j) = a(i+offset-1,j) + float(b(i,j)) 100 continue return end subroutine pstbmpit(b,a,ib,ia,irun,l,k) implicit none integer ib,ia,L,k,irun,Lena,offset _RL a(ia,l), b(ib,l) integer i,j offset = ib*(k-1) Lena = min(ib,irun-offset) offset = offset+1 do 100 j=1,L do 100 i=1,Lena a(i+offset-1,j) = a(i+offset-1,j) + b(i,j) 100 continue return end subroutine strip2tile(a,indx,b,irun,ia,ib,levs,npeice) c----------------------------------------------------------------------- c subroutine strip2tile - extract one processors worth of grid points c from a grid space array to a stripped tile c space array c c input: c a - array to be stripped FROM [ia,levs] c indx - array of horizontal indeces of grid points to convert to c tile space c irun - number of points in array a that need to be stripped c ia - inner of dimension of source array c ib - inner dimension of target array AND the number of points c in the target array to be filled c levs - number of vertical levels AND outer dimension of arrays c npeice - the current strip number to be filled c output: c b - array to be filled, ie, one processors field [ib,levs] c----------------------------------------------------------------------- implicit none integer ia,ib,irun,levs,npeice _RL a(ia,levs), b(ib,levs) integer indx(irun) integer i,k,Lena,offset offset = ib*(npeice-1) Lena = min(ib,irun-offset) offset = offset+1 if(Lena.eq.ib) then do 100 k=1,levs do 100 i=1,Lena b(i,k) = a(indx(i+offset-1),k) 100 continue else do 200 k=1,levs do 300 i=1,Lena b(i,k) = a(indx(i+offset-1),k) 300 continue do 400 i=1,ib-Lena b(Lena+i,k) = a(indx(Lena+offset-1),k) 400 continue 200 continue endif return end subroutine paste2grd_old(b,indx,chfr,ib,numpts,a,ia,levs,npeice) c----------------------------------------------------------------------- c subroutine paste2grd - paste one processors worth of grid points c from a stripped tile array to a grid c space array c c input: c b - array to be pasted back into grid space [ib,levs] c indx - array of horizontal indeces of grid points to convert to c tile space[numpts] c chfr - fractional area covered by the tile [ib] c ib - inner dimension of source array AND number of points in c array a that need to be pasted c numpts - total number of points which were stripped c ia - inner of dimension of target array c levs - number of vertical levels AND outer dimension of arrays c npeice - the current strip number to be filled c output: c a - grid space array to be filled [ia,levs] c c IMPORTANT NOTE: c c This routine will result in roundoff differences if called from c within a parallel region. c----------------------------------------------------------------------- implicit none integer ia,ib,levs,numpts,npeice integer indx(numpts) _RL a(ia,levs), b(ib,levs), chfr(ib) integer i,L,offset,Lena offset = ib*(npeice-1) Lena = min(ib,numpts-offset) offset = offset+1 do L = 1,levs do i=1,Lena a(indx(i+offset-1),L) = a(indx(i+offset-1),L) + b(i,L)*chfr(i) enddo enddo return end subroutine paste2grd (b,indx,chfr,ib,numpts,a,ia,levs,npeice, . check) c----------------------------------------------------------------------- c subroutine paste2grd - paste one processors worth of grid points c from a stripped tile array to a grid c space array c c input: c b - array to be pasted back into grid space [ib,levs] c indx - array of horizontal indeces of grid points to convert to c tile space[numpts] c chfr - fractional area covered by the tile [ib] c ib - inner dimension of source array AND number of points in c array a that need to be pasted c numpts - total number of points which were stripped c ia - inner of dimension of target array c levs - number of vertical levels AND outer dimension of arrays c npeice - the current strip number to be filled c check - logical to check for undefined values c output: c a - grid space array to be filled [ia,levs] c c IMPORTANT NOTE: c c This routine will result in roundoff differences if called from c within a parallel region. c----------------------------------------------------------------------- implicit none integer ia,ib,levs,numpts,npeice integer indx(numpts) _RL a(ia,levs), b(ib,levs), chfr(ib) logical check integer i,L,offset,Lena _RL undef,getcon offset = ib*(npeice-1) Lena = min(ib,numpts-offset) offset = offset+1 if( check ) then undef = getcon('UNDEF') do L= 1,levs do i= 1,Lena if( a(indx(i+offset-1),L).eq.undef .or. b(i,L).eq.undef ) then a(indx(i+offset-1),L) = undef else a(indx(i+offset-1),L)=a(indx(i+offset-1),L) + b(i,L)*chfr(i) endif enddo enddo else do L= 1,levs do i= 1,Lena a(indx(i+offset-1),L)=a(indx(i+offset-1),L) + b(i,L)*chfr(i) enddo enddo endif return end SUBROUTINE GRD2MSC(A,IM,JM,IGRD,B,MXCHPS,NCHP) implicit none integer im,jm,mxchps,nchp integer igrd(mxchps) c _RL A(IM,JM), B(MXCHPS) _RL A(IM*JM), B(MXCHPS) integer i IF(NCHP.GE.0) THEN DO I=1,NCHP c B(I) = A(IGRD(I),1) B(I) = A(IGRD(I)) ENDDO ELSE PRINT *, 'ERROR IN GRD2MSC' ENDIF RETURN END SUBROUTINE MSC2GRD(IGRD,CHFR,B,MXCHPS,NCHP,FRACG,A,IM,JM) implicit none _RL zero,one parameter ( one = 1.) parameter (zero = 0.) integer im,jm,mxchps,nchp integer igrd(mxchps) c _RL A(IM,JM), B(MXCHPS), CHFR(MXCHPS), FRACG(IM,JM) _RL A(IM*JM), B(MXCHPS), CHFR(MXCHPS), FRACG(IM*JM) c _RL VT1(IM,JM) _RL VT1(IM*JM) integer i IF(NCHP.GE.0) THEN DO I=1,IM*JM c VT1(I,1) = ZERO VT1(I) = ZERO ENDDO DO I=1,NCHP c VT1(IGRD(I),1) = VT1(IGRD(I),1) + B(I)*CHFR(I) VT1(IGRD(I)) = VT1(IGRD(I)) + B(I)*CHFR(I) ENDDO DO I=1,IM*JM c A(I,1) = A(I,1)*(ONE-FRACG(I,1)) + VT1(I,1) A(I) = A(I)*(ONE-FRACG(I)) + VT1(I) ENDDO ELSE PRINT *, 'ERROR IN MSC2GRD' ENDIF RETURN END subroutine chpprm(nymd,nhms,mxchps,nchp,chlt,ityp,alai, 1 agrn,zoch,z2ch,cdrc,cdsc,sqsc,ufac,rsl1,rsl2,rdcs) implicit none integer nymd,nhms,nchp,mxchps,ityp(mxchps) _RL chlt(mxchps) _RL alai(mxchps),agrn(mxchps) _RL zoch(mxchps), z2ch(mxchps), cdrc(mxchps), cdsc(mxchps) _RL sqsc(mxchps), ufac(mxchps), rsl1(mxchps), rsl2(mxchps) _RL rdcs(mxchps) C********************************************************************* C********************* SUBROUTINE CHPPRM **************************** C********************** 14 JUNE 1991 ****************************** C********************************************************************* integer ntyps parameter (ntyps=10) _RL pblzet parameter (pblzet = 50.) integer k1,k2,nymd1,nhms1,nymd2,nhms2,i _RL getcon,vkrm,rootl,vroot,dum1,dum2,alphaf _RL facm,facp _RL scat,d _RL & vgdd(12, ntyps), vgz0(12, ntyps), & vgrd(12, ntyps), vgrt(12, ntyps), & vgrf11(ntyps), vgrf12(ntyps), & vgtr11(ntyps), vgtr12(ntyps), & vgroca(ntyps), vgrotd(ntyps), & vgrdrs(ntyps), vgz2 (ntyps) data vgz0 / 1 2.6530, 2.6530, 2.6530, 2.6530, 2.6530, 2.6530, 2.6530, 1 2.6530, 2.6530, 2.6530, 2.6530, 2.6530, 2 0.5200, 0.5200, 0.6660, 0.9100, 1.0310, 1.0440, 1.0420, 2 1.0370, 1.0360, 0.9170, 0.6660, 0.5200, 3 1.1120, 1.1030, 1.0880, 1.0820, 1.0760, 1.0680, 1.0730, 3 1.0790, 1.0820, 1.0880, 1.1030, 1.1120, 4 0.0777, 0.0778, 0.0778, 0.0779, 0.0778, 0.0771, 0.0759, 4 0.0766, 0.0778, 0.0779, 0.0778, 0.0778, 5 0.2450, 0.2450, 0.2270, 0.2000, 0.2000, 0.2000, 0.2000, 5 0.267, 0.292, 0.280, 0.258, 0.2450, 6 0.0752, 0.0752, 0.0752, 0.0752, 0.0752, 0.0757, 0.0777, 6 0.0778, 0.0774, 0.0752, 0.0752, 0.0752, 7 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 7 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 8 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 8 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 9 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 9 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 1 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 0.0112, 1 0.0112, 0.0112, 0.0112, 0.0112, 0.0112 & / data vgrd / 1 285.87, 285.87, 285.87, 285.87, 285.87, 285.87, 285.87, 1 285.87, 285.87, 285.87, 285.87, 285.87, 2 211.32, 211.32, 218.78, 243.40, 294.87, 345.90, 355.18, 2 341.84, 307.22, 244.84, 218.78, 211.32, 3 565.41, 587.05, 623.46, 638.13, 652.86, 675.04, 660.24, 3 645.49, 638.13, 623.46, 587.05, 565.41, 4 24.43, 24.63, 24.80, 24.96, 25.72, 27.74, 30.06, 4 28.86, 25.90, 25.11, 24.80, 24.63, 5 103.60, 103.60, 102.35, 100.72, 100.72, 100.72, 100.72, 5 105.30, 107.94, 106.59, 104.49, 103.60, 6 22.86, 22.86, 22.86, 22.86, 22.86, 23.01, 24.36, 6 24.69, 24.04, 22.86, 22.86, 22.86, 7 23.76, 23.76, 23.76, 23.76, 23.76, 23.76, 23.76, 7 23.76, 23.76, 23.76, 23.76, 23.76, 8 23.76, 23.76, 23.76, 23.76, 23.76, 23.76, 23.76, 8 23.76, 23.76, 23.76, 23.76, 23.76, 9 23.76, 23.76, 23.76, 23.76, 23.76, 23.76, 23.76, 9 23.76, 23.76, 23.76, 23.76, 23.76, 1 23.76, 23.76, 23.76, 23.76, 23.76, 23.76, 23.76, 1 23.76, 23.76, 23.76, 23.76, 23.76 & / data vgrt / 1 19737.8, 19737.8, 19737.8, 19737.8, 19737.8, 19737.8, 19737.8, 1 19737.8, 19737.8, 19737.8, 19737.8, 19737.8, 2 5010.0, 5010.0, 5270.0, 6200.0, 8000.0, 9700.0, 9500.0, 2 8400.0, 6250.0, 5270.0, 5010.0, 5010.0, 3 9000.0, 9200.0, 9533.3, 9666.7, 9800.0, 9866.7, 9733.3, 3 9666.7, 9533.3, 9200.0, 9000.0, 9000.0, 4 5500.0, 5625.0, 5750.0, 5875.0, 6625.0, 8750.0, 9375.0, 4 6875.0, 6000.0, 5750.0, 5625.0, 5500.0, 5 6500.0, 6000.0, 5500.0, 5500.0, 5500.0, 5500.0, 5500.0, 5 7500.0, 8500.0, 7000.0, 6500.0, 6500.0, 6 10625.0, 10625.0, 10625.0, 10625.0, 10625.0, 11250.0, 18750.0, 6 17500.0, 10625.0, 10625.0, 10625.0, 10625.0, 7 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 7 1.0, 1.0, 1.0, 1.0, 1.0, 8 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 8 1.0, 1.0, 1.0, 1.0, 1.0, 9 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 9 1.0, 1.0, 1.0, 1.0, 1.0, 1 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1 1.0, 1.0, 1.0, 1.0, 1.0 & / data vgdd / 1 27.37, 27.37, 27.37, 27.37, 27.37, 27.37, 27.37, 1 27.37, 27.37, 27.37, 27.37, 27.37, 2 13.66, 13.66, 14.62, 15.70, 16.33, 16.62, 16.66, 2 16.60, 16.41, 15.73, 14.62, 13.66, 3 13.76, 13.80, 13.86, 13.88, 13.90, 13.93, 13.91, 3 13.89, 13.88, 13.86, 13.80, 13.76, 4 0.218, 0.227, 0.233, 0.239, 0.260, 0.299, 0.325, 4 0.313, 0.265, 0.244, 0.233, 0.227, 5 2.813, 2.813, 2.662, 2.391, 2.391, 2.391, 2.391, 5 2.975, 3.138, 3.062, 2.907, 2.813, 6 0.10629, 0.10629, 0.10629, 0.10629, 0.10629, 0.12299, 0.21521, 6 0.22897, 0.19961, 0.10629, 0.10629, 0.10629, 7 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 7 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 8 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 8 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 9 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 9 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 1 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 0.0001, 1 0.0001, 0.0001, 0.0001, 0.0001, 0.0001 & / data vgrf11 /0.10,0.10,0.07,0.105,0.10,0.10,.001,.001,.001,.001/ data vgrf12 /0.16,0.16,0.16,0.360,0.16,0.16,.001,.001,.001,.001/ data vgtr11 /0.05,0.05,0.05,0.070,0.05,0.05,.001,.001,.001,.001/ data vgtr12 /.001,.001,.001, .220,.001,.001,.001,.001,.001,.001/ data vgroca / & 0.384E-6, 0.384E-6, 0.384E-6, 0.384E-6, 0.384E-6, 0.384E-6, & .1E-6, .1E-6, .1E-6, .1E-6 / data vgrotd /1.00,1.00,0.50,0.50,0.50,0.20,0.10,0.10,0.10,0.10/ data vgrdrs / & 0.75E13, 0.75E13, 0.75E13, 0.40E13, 0.75E13, 0.75E13, & 0.10E13, 0.10E13, 0.10E13, 0.10E13 / data vgz2 /35.0, 20.0, 17.0, 0.6, 5.0, 0.6, 0.1, 0.1, 0.1, 0.1/ vkrm = GETCON('VON KARMAN') call time_bound ( nymd,nhms, nymd1,nhms1, nymd2,nhms2, k1,k2 ) call interp_time ( nymd,nhms, nymd1,nhms1, nymd2,nhms2, facm,facp) do i=1,nchp zoch(i) = vgz0(k2,ityp(i))*facp + vgz0(k1,ityp(i))*facm rdcs(i) = vgrd(k2,ityp(i))*facp + vgrd(k1,ityp(i))*facm rootl = vgrt(k2,ityp(i))*facp + vgrt(k1,ityp(i))*facm vroot = rootl * vgroca(ityp (i)) dum1 = log (vroot / (1. - vroot)) dum2 = 1. / (8. * 3.14159 * rootl) alphaf = dum2 * (vroot - 3. -2. * dum1) rsl1(i) = vgrdrs (ityp (i)) / (rootl * vgrotd (ityp (i))) rsl2(i) = alphaf / vgrotd (ityp (i)) scat = agrn(i) *(vgtr11(ityp(i)) + vgrf11(ityp(i))) & + (1. - agrn(i))*(vgtr12(ityp(i)) + vgrf12(ityp(i))) sqsc(i) = sqrt (1. - scat) d = vgdd(k2,ityp(i))*facp + vgdd(k1,ityp(i))*facm ufac(i) = log( (vgz2(ityp(i)) - d) / zoch(i) ) * / log( pblzet / zoch(i) ) z2ch(i) = vgz2(ityp (i)) cdsc(i) = pblzet/zoch(i)+1. cdrc(i) = vkrm/log(cdsc(i)) cdrc(i) = cdrc(i)*cdrc(i) cdsc(i) = sqrt(cdsc(i)) cdsc(i) = cdrc(i)*cdsc(i) enddo return end subroutine pkappa (im,jm,lm,ple,pkle,pkz) C*********************************************************************** C Purpose C Calculate Phillips P**Kappa C C Arguments C PLE .... edge-level pressure C PKLE ... edge-level pressure**kappa C IM ..... longitude dimension C JM ..... latitude dimension C LM ..... vertical dimension C PKZ .... mid-level pressure**kappa C*********************************************************************** implicit none integer im,jm,lm _RL ple(im,jm,lm+1) _RL pkle(im,jm,lm+1) _RL pkz(im,jm,lm) _RL akap1,getcon integer i,j,L akap1 = 1.0 + getcon('KAPPA') do L = 1,lm do j = 1,jm do i = 1,im pkz(i,j,L) = ( ple (i,j,l+1)*pkle(i,j,l+1) . - ple (i,j,l)*pkle(i,j,l) ) . / ( akap1* (ple (i,j,l+1)-ple (i,j,l)) ) enddo enddo enddo return end