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!Environment Canada - Atmospheric Science and Technology License/Disclaimer,
! version 3; Last Modified: May 7, 2008.
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!CANADA, H9P 1J3; or send e-mail to service.rpn@ec.gc.ca
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!
SUBROUTINE SPGDAPAR(ZFM,KNI,KKSDIM,KNJ,ldstaggrid) 2,6
#if defined (DOC)
*
**s/r SPGDAPAR- Adjoint of the inverse spectral transform(PARALLEL LOOP)
*
*
* Author : P. Gauthier/P.Koclas *ARMA/AES and CMC
* . - Nov 1997 Complete rewriting of the transform
* . to have the most external loop to be on the zonal wavenumber
* . and then to have a parallel treatment of the transform
* Revision:
* JM Belanger CMDA/SMC Aug 2000
* . 32 bits conversion
* . P. Koclas CMDA/SMC Apr 2003
* . -removed commulti and added OpenMP fro IBM conversion
* . P. Gauthier ARMA/MSC June 2003
* . Modification needed to perform the transform on a staggered grid in latitude
* . Correction of bug that would occur if an odd number of latitudes were treated
* . L. Fillion ARMA/EC 11 May 2010 - Limit printout to processor 0.
*
* Purpose: based on gdsppar to build the adjoint of the inverse
* . spectral transform (see Technical Notes)
Arguments:
*
* ZFM() : Array of spectral coefficients
* KNI : number of latitude circles on one hemisphere
* KKSDIM : truncation order (triangular)
* KNJ : zonal wavenumber
* LSTAGGRID : logical key (.T. use the staggered grid in latitude)
*
*
#endif
*
use modstag
, only: nj_s, njlath_s, rwt_s
USE procs_topo
IMPLICIT NONE
*implicits
#include "pardim.cdk"
#include "comdim.cdk"
#include "comlun.cdk"
#include "comleg.cdk"
#include "comgem.cdk"
#include "comsp.cdk"
C
C Arguments
C
INTEGER :: KNI,KKSDIM,KNJ
REAL*8 :: ZFM(KNI+2,KKSDIM, KNJ)
logical :: ldstaggrid
C
C Local variables
C
INTEGER ISIZ
INTEGER ILEN, JJ, JK, ILONR, ILONI, JM
S ,ILA, INM, JN, JM0, INS, JNS
REAL*8 :: ZJM,DLRWT(NJBEG:NJEND)
REAL*8 :: DLALP(0:NTRUNCMX,NJLATH), DLDALP(0:NTRUNCMX, NJLATH)
REAL*8 :: DLSP(0:NTRUNCMX,2,NKSDIM),DLSP2(0:NTRUNCMX,2,2*NFLEV)
REAL*8 :: ZFMS( NJLATH+1,2,NKSDIM), ZFMA( NJLATH+1,2,NKSDIM)
integer :: i_njlath, i_nj
INTEGER thdid,numthd,omp_get_thread_num,omp_get_num_threads
* !
* ! 1. Set up according to the desired grid (staggered or not)
* ! ---------------------
IF(myid == 0) THEN
write(nulout,fmt='(/,4x,A)')'SPGDAPAR- Adjoint of the inverse Legendre transform'
endif
!
if(ldstaggrid) then
i_nj = nj_s
i_njlath = njlath_s
dlrwt(:) = rwt_s(:)
else
i_nj = nj
i_njlath = njlath
dlrwt(:) = rwt(:)
end if
if (mod(i_nj,2).ne.0) then
dlrwt(i_njlath) = dlrwt(i_njlath)/2.d0
end if
C
C** 2. Fourier transform all fields for all latitudes
C
!$OMP PARALLEL PRIVATE(DLALP,DLDALP,JM0,DLSP,DLSP2,ZFMS,ZFMA)
!$OMP+ PRIVATE(INM,ILA,JM,JN,JK,JJ,ZJM,JNS,INS,ILONR,ILONI)
!$OMP+ PRIVATE(thdid,numthd)
*
thdid = omp_get_thread_num()
numthd= omp_get_num_threads()
DO 201 JM0 = thdid, NTRUNC/2,numthd
! DO 201 JM0 = 0, NTRUNC/2
INS=1
IF(JM0.EQ.NTRUNC-JM0) INS = 0
DO 202 JNS = 0,INS
JM = (1-JNS)*JM0 + JNS*(NTRUNC - JM0)
ILONR = 2 * JM + 1
ILONI = ILONR + 1
ZJM = FLOAT(JM)
C
C** . 2.1 Fetch the Legendre functions and their derivatives for this choice of "m"
C
if(ldstaggrid) then
! CRITICAL
CALL GETALP_Stag(DLALP,DLDALP,I_NJLATH,NTRUNC,NTRUNCMX,JM)
! END CRITICAL
else
! CRITICAL
CALL GETALP(DLALP,DLDALP,I_NJLATH,NTRUNC,NTRUNCMX,JM)
! END CRITICAL
end if
C
C** . 2.2 Build the symmetric and anti-symmetric Fourier coefficients including
C** . the appropriate quadrature weights (see scientific notes)
*
DO 203 JJ = 1, I_NJLATH
C
C*** . 2.2.1 Coefficients for scalar fields
C
DO JK = 2*NFLEV+1, NKSDIM
C . SYMMETRIC COEFFICIENTS
ZFMS(JJ,1,JK) = DLRWT(JJ)*(ZFM(ILONR,JK,JJ)
+ + ZFM(ILONR,JK,1+I_NJ-JJ))
ZFMS(JJ,2,JK) = DLRWT(JJ)*(ZFM(ILONI,JK,JJ)
+ + ZFM(ILONI,JK,1+I_NJ-JJ))
C . ANTISYMMETRIC COEFFICIENTS
ZFMA(JJ,1,JK) = DLRWT(JJ)*(ZFM(ILONR,JK,JJ)
+ - ZFM(ILONR,JK,1+I_NJ-JJ))
ZFMA(JJ,2,JK) = DLRWT(JJ)*(ZFM(ILONI,JK,JJ)
+ - ZFM(ILONI,JK,1+I_NJ-JJ))
END DO
C
C*** . 2.2.2 Coefficients associated with the wind fields
C .
DO JK = 1, NFLEV
C . VORTICITY: SYMMETRIC COEFFICIENTS
ZFMS(JJ,1,JK) = -ZJM*DLRWT(JJ)
+ *(ZFM(ILONI,JK+NFLEV,JJ)
+ +ZFM(ILONI,JK+NFLEV,1+I_NJ-JJ))
ZFMS(JJ,2,JK) = ZJM*DLRWT(JJ)
+ *(ZFM(ILONR,JK+NFLEV,JJ)
+ + ZFM(ILONR,JK+NFLEV,1+I_NJ-JJ))
C . VORTICITY: ANTISYMMETRIC COEFFICIENTS
ZFMA(JJ,1,JK) = -ZJM*DLRWT(JJ)
+ *(ZFM(ILONI,JK+NFLEV,JJ)
+ - ZFM(ILONI,JK+NFLEV,1+I_NJ-JJ))
ZFMA(JJ,2,JK) = ZJM*DLRWT(JJ)
+ *(ZFM(ILONR,JK+NFLEV,JJ)
+ - ZFM(ILONR,JK+NFLEV,1+I_NJ-JJ))
C . DIVERGENCE: SYMMETRIC COEFFICIENTS
ZFMS(JJ,1,JK+NFLEV) = -ZJM*DLRWT(JJ)
+ *(ZFM(ILONI,JK,JJ)+ ZFM(ILONI,JK,1+I_NJ-JJ))
ZFMS(JJ,2,JK+NFLEV) = ZJM*DLRWT(JJ)
+ *(ZFM(ILONR,JK,JJ)+ ZFM(ILONR,JK,1+I_NJ-JJ))
C . DIVERGENCE: ANTISYMMETRIC COEFFICIENTS
ZFMA(JJ,1,JK+NFLEV) = -ZJM*DLRWT(JJ)
+ *(ZFM(ILONI,JK,JJ)- ZFM(ILONI,JK,1+I_NJ-JJ))
ZFMA(JJ,2,JK+NFLEV) = ZJM*DLRWT(JJ)
+ *(ZFM(ILONR,JK,JJ)- ZFM(ILONR,JK,1+I_NJ-JJ))
END DO
203 CONTINUE
C
C** . 2.3 First one with ALP for all scalar fields and for half the terms
C** . required to define the divergence and vorticity
C
!
! CRITICAL
CALL LEGDIR3 (JM, ZFMS,ZFMA,DLSP,DLALP
S ,NKSDIM, I_NJLATH, NTRUNC, NTRUNCMX)
! END CRITICAL
!
C
C** . 2.4 Second transform with DALP to complete the construction of the
C** . vorticity and divergence fields
*
DO 240 JJ = 1, I_NJLATH
DO JK = 1, NFLEV
C . Symmetric coefficients for zonal wind
ZFMS(JJ,1,JK) = DLRWT(JJ)*(ZFM(ILONR,JK,JJ)
+ + ZFM(ILONR,JK,1+I_NJ - JJ))
ZFMS(JJ,2,JK) = DLRWT(JJ)*(ZFM(ILONI,JK,JJ)
+ + ZFM(ILONI,JK,1+I_NJ-JJ))
C . Antisymmetric coefficients for zonal wind
ZFMA(JJ,1,JK) = DLRWT(JJ)*(ZFM(ILONR,JK,JJ)
+ - ZFM(ILONR,JK,1+I_NJ-JJ))
ZFMA(JJ,2,JK) = DLRWT(JJ)*(ZFM(ILONI,JK,JJ)
+ - ZFM(ILONI,JK,1+I_NJ-JJ))
END DO
DO JK = NFLEV+1, 2*NFLEV
C . Symmetric coefficients for meridional wind
ZFMS(JJ,1,JK) = -DLRWT(JJ)*(ZFM(ILONR,JK,JJ)
+ + ZFM(ILONR,JK,1+I_NJ-JJ))
ZFMS(JJ,2,JK) = -DLRWT(JJ)*(ZFM(ILONI,JK,JJ)
+ + ZFM(ILONI,JK,1+I_NJ-JJ))
C . Antisymmetric coefficients for meridional wind
ZFMA(JJ,1,JK) = -DLRWT(JJ)*(ZFM(ILONR,JK,JJ)
+ - ZFM(ILONR,JK,1+I_NJ-JJ))
ZFMA(JJ,2,JK) = -DLRWT(JJ)*(ZFM(ILONI,JK,JJ)
+ - ZFM(ILONI,JK,1+I_NJ-JJ))
END DO
240 CONTINUE
! CRITICAL
CALL LEGDIR3 (JM, ZFMA,ZFMS,DLSP2,DLDALP
S ,2*NFLEV, i_NJLATH, NTRUNC, NTRUNCMX)
! END CRITICAL
!
C
C** . 2.5 Transfer the result in the global state
C
DO JN = JM, NTRUNC
ILA = NIND(JM) + JN - JM
INM = JN - JM
C
DO JK = 1, 2*NFLEV
SP(ILA,1,JK) = -R1SNP1(ILA)*(DLSP(INM,1,JK) + DLSP2(INM,1,JK))
SP(ILA,2,JK) = -R1SNP1(ILA)*(DLSP(INM,2,JK) + DLSP2(INM,2,JK))
END DO
C
DO JK = 2*NFLEV+1,NKSDIM
SP(ILA,1,JK) = DLSP(INM,1,JK)
SP(ILA,2,JK) = DLSP(INM,2,JK)
END DO
END DO
C
C End of loop on zonal wavenumbers
C
!
202 CONTINUE
201 CONTINUE
!$OMP END PARALLEL
C
END subroutine spgdapar