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geo2ocean.f90
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MODULE geo2ocean
USE dom_oce
USE phycst
USE in_out_manager
USE lbclnk
USE lib_mpp
IMPLICIT NONE
PRIVATE
PUBLIC :: rot_rep
PUBLIC :: geo2oce
PUBLIC :: oce2geo
PUBLIC :: obs_rot
REAL(KIND = wp), ALLOCATABLE, SAVE, DIMENSION(:, :) :: gsint, gcost
REAL(KIND = wp), ALLOCATABLE, SAVE, DIMENSION(:, :) :: gsinu, gcosu
REAL(KIND = wp), ALLOCATABLE, SAVE, DIMENSION(:, :) :: gsinv, gcosv
REAL(KIND = wp), ALLOCATABLE, SAVE, DIMENSION(:, :) :: gsinf, gcosf
LOGICAL, SAVE, DIMENSION(4) :: linit = .FALSE.
REAL(KIND = wp), ALLOCATABLE, SAVE, DIMENSION(:, :, :) :: gsinlon, gcoslon, gsinlat, gcoslat
LOGICAL :: lmust_init = .TRUE.
CONTAINS
SUBROUTINE rot_rep(pxin, pyin, cd_type, cdtodo, prot)
REAL(KIND = wp), DIMENSION(jpi, jpj), INTENT(IN ) :: pxin, pyin
CHARACTER(LEN = 1), INTENT(IN ) :: cd_type
CHARACTER(LEN = 5), INTENT(IN ) :: cdtodo
REAL(KIND = wp), DIMENSION(jpi, jpj), INTENT( OUT) :: prot
IF (lmust_init) THEN
IF (lwp) WRITE(numout, FMT = *)
IF (lwp) WRITE(numout, FMT = *) ' rot_rep: coordinate transformation : geographic <==> model (i,j)-components'
IF (lwp) WRITE(numout, FMT = *) ' ~~~~~~~~ '
CALL angle
lmust_init = .FALSE.
END IF
SELECT CASE (cdtodo)
CASE ('en->i')
SELECT CASE (cd_type)
CASE ('T')
!$ACC KERNELS
prot(:, :) = pxin(:, :) * gcost(:, :) + pyin(:, :) * gsint(:, :)
!$ACC END KERNELS
CASE ('U')
!$ACC KERNELS
prot(:, :) = pxin(:, :) * gcosu(:, :) + pyin(:, :) * gsinu(:, :)
!$ACC END KERNELS
CASE ('V')
!$ACC KERNELS
prot(:, :) = pxin(:, :) * gcosv(:, :) + pyin(:, :) * gsinv(:, :)
!$ACC END KERNELS
CASE ('F')
!$ACC KERNELS
prot(:, :) = pxin(:, :) * gcosf(:, :) + pyin(:, :) * gsinf(:, :)
!$ACC END KERNELS
CASE DEFAULT
CALL ctl_stop('Only T, U, V and F grid points are coded')
END SELECT
CASE ('en->j')
SELECT CASE (cd_type)
CASE ('T')
!$ACC KERNELS
prot(:, :) = pyin(:, :) * gcost(:, :) - pxin(:, :) * gsint(:, :)
!$ACC END KERNELS
CASE ('U')
!$ACC KERNELS
prot(:, :) = pyin(:, :) * gcosu(:, :) - pxin(:, :) * gsinu(:, :)
!$ACC END KERNELS
CASE ('V')
!$ACC KERNELS
prot(:, :) = pyin(:, :) * gcosv(:, :) - pxin(:, :) * gsinv(:, :)
!$ACC END KERNELS
CASE ('F')
!$ACC KERNELS
prot(:, :) = pyin(:, :) * gcosf(:, :) - pxin(:, :) * gsinf(:, :)
!$ACC END KERNELS
CASE DEFAULT
CALL ctl_stop('Only T, U, V and F grid points are coded')
END SELECT
CASE ('ij->e')
SELECT CASE (cd_type)
CASE ('T')
!$ACC KERNELS
prot(:, :) = pxin(:, :) * gcost(:, :) - pyin(:, :) * gsint(:, :)
!$ACC END KERNELS
CASE ('U')
!$ACC KERNELS
prot(:, :) = pxin(:, :) * gcosu(:, :) - pyin(:, :) * gsinu(:, :)
!$ACC END KERNELS
CASE ('V')
!$ACC KERNELS
prot(:, :) = pxin(:, :) * gcosv(:, :) - pyin(:, :) * gsinv(:, :)
!$ACC END KERNELS
CASE ('F')
!$ACC KERNELS
prot(:, :) = pxin(:, :) * gcosf(:, :) - pyin(:, :) * gsinf(:, :)
!$ACC END KERNELS
CASE DEFAULT
CALL ctl_stop('Only T, U, V and F grid points are coded')
END SELECT
CASE ('ij->n')
SELECT CASE (cd_type)
CASE ('T')
!$ACC KERNELS
prot(:, :) = pyin(:, :) * gcost(:, :) + pxin(:, :) * gsint(:, :)
!$ACC END KERNELS
CASE ('U')
!$ACC KERNELS
prot(:, :) = pyin(:, :) * gcosu(:, :) + pxin(:, :) * gsinu(:, :)
!$ACC END KERNELS
CASE ('V')
!$ACC KERNELS
prot(:, :) = pyin(:, :) * gcosv(:, :) + pxin(:, :) * gsinv(:, :)
!$ACC END KERNELS
CASE ('F')
!$ACC KERNELS
prot(:, :) = pyin(:, :) * gcosf(:, :) + pxin(:, :) * gsinf(:, :)
!$ACC END KERNELS
CASE DEFAULT
CALL ctl_stop('Only T, U, V and F grid points are coded')
END SELECT
CASE DEFAULT
CALL ctl_stop('rot_rep: Syntax Error in the definition of cdtodo')
END SELECT
END SUBROUTINE rot_rep
SUBROUTINE angle
INTEGER :: ji, jj
INTEGER :: ierr
REAL(KIND = wp) :: zlam, zphi
REAL(KIND = wp) :: zlan, zphh
REAL(KIND = wp) :: zxnpt, zynpt, znnpt
REAL(KIND = wp) :: zxnpu, zynpu, znnpu
REAL(KIND = wp) :: zxnpv, zynpv, znnpv
REAL(KIND = wp) :: zxnpf, zynpf, znnpf
REAL(KIND = wp) :: zxvvt, zyvvt, znvvt
REAL(KIND = wp) :: zxffu, zyffu, znffu
REAL(KIND = wp) :: zxffv, zyffv, znffv
REAL(KIND = wp) :: zxuuf, zyuuf, znuuf
ALLOCATE(gsint(jpi, jpj), gcost(jpi, jpj), gsinu(jpi, jpj), gcosu(jpi, jpj), gsinv(jpi, jpj), gcosv(jpi, jpj), gsinf(jpi, jpj), gcosf(jpi, jpj), STAT = ierr)
IF (lk_mpp) CALL mpp_sum(ierr)
IF (ierr /= 0) CALL ctl_stop('angle: unable to allocate arrays')
!$ACC KERNELS
DO jj = 2, jpjm1
DO ji = 2, jpi
zlam = glamt(ji, jj)
zphi = gphit(ji, jj)
zxnpt = 0. - 2. * COS(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.)
zynpt = 0. - 2. * SIN(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.)
znnpt = zxnpt * zxnpt + zynpt * zynpt
zlam = glamu(ji, jj)
zphi = gphiu(ji, jj)
zxnpu = 0. - 2. * COS(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.)
zynpu = 0. - 2. * SIN(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.)
znnpu = zxnpu * zxnpu + zynpu * zynpu
zlam = glamv(ji, jj)
zphi = gphiv(ji, jj)
zxnpv = 0. - 2. * COS(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.)
zynpv = 0. - 2. * SIN(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.)
znnpv = zxnpv * zxnpv + zynpv * zynpv
zlam = glamf(ji, jj)
zphi = gphif(ji, jj)
zxnpf = 0. - 2. * COS(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.)
zynpf = 0. - 2. * SIN(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.)
znnpf = zxnpf * zxnpf + zynpf * zynpf
zlam = glamv(ji, jj)
zphi = gphiv(ji, jj)
zlan = glamv(ji, jj - 1)
zphh = gphiv(ji, jj - 1)
zxvvt = 2. * COS(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.) - 2. * COS(rad * zlan) * TAN(rpi / 4. - rad * zphh / 2.)
zyvvt = 2. * SIN(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.) - 2. * SIN(rad * zlan) * TAN(rpi / 4. - rad * zphh / 2.)
znvvt = SQRT(znnpt * (zxvvt * zxvvt + zyvvt * zyvvt))
znvvt = MAX(znvvt, 1.E-14)
zlam = glamf(ji, jj)
zphi = gphif(ji, jj)
zlan = glamf(ji, jj - 1)
zphh = gphif(ji, jj - 1)
zxffu = 2. * COS(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.) - 2. * COS(rad * zlan) * TAN(rpi / 4. - rad * zphh / 2.)
zyffu = 2. * SIN(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.) - 2. * SIN(rad * zlan) * TAN(rpi / 4. - rad * zphh / 2.)
znffu = SQRT(znnpu * (zxffu * zxffu + zyffu * zyffu))
znffu = MAX(znffu, 1.E-14)
zlam = glamf(ji, jj)
zphi = gphif(ji, jj)
zlan = glamf(ji - 1, jj)
zphh = gphif(ji - 1, jj)
zxffv = 2. * COS(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.) - 2. * COS(rad * zlan) * TAN(rpi / 4. - rad * zphh / 2.)
zyffv = 2. * SIN(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.) - 2. * SIN(rad * zlan) * TAN(rpi / 4. - rad * zphh / 2.)
znffv = SQRT(znnpv * (zxffv * zxffv + zyffv * zyffv))
znffv = MAX(znffv, 1.E-14)
zlam = glamu(ji, jj + 1)
zphi = gphiu(ji, jj + 1)
zlan = glamu(ji, jj)
zphh = gphiu(ji, jj)
zxuuf = 2. * COS(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.) - 2. * COS(rad * zlan) * TAN(rpi / 4. - rad * zphh / 2.)
zyuuf = 2. * SIN(rad * zlam) * TAN(rpi / 4. - rad * zphi / 2.) - 2. * SIN(rad * zlan) * TAN(rpi / 4. - rad * zphh / 2.)
znuuf = SQRT(znnpf * (zxuuf * zxuuf + zyuuf * zyuuf))
znuuf = MAX(znuuf, 1.E-14)
gsint(ji, jj) = (zxnpt * zyvvt - zynpt * zxvvt) / znvvt
gcost(ji, jj) = (zxnpt * zxvvt + zynpt * zyvvt) / znvvt
gsinu(ji, jj) = (zxnpu * zyffu - zynpu * zxffu) / znffu
gcosu(ji, jj) = (zxnpu * zxffu + zynpu * zyffu) / znffu
gsinf(ji, jj) = (zxnpf * zyuuf - zynpf * zxuuf) / znuuf
gcosf(ji, jj) = (zxnpf * zxuuf + zynpf * zyuuf) / znuuf
gsinv(ji, jj) = (zxnpv * zxffv + zynpv * zyffv) / znffv
gcosv(ji, jj) = - (zxnpv * zyffv - zynpv * zxffv) / znffv
END DO
END DO
DO jj = 2, jpjm1
DO ji = 2, jpi
IF (MOD(ABS(glamv(ji, jj) - glamv(ji, jj - 1)), 360.) < 1.E-8) THEN
gsint(ji, jj) = 0.
gcost(ji, jj) = 1.
END IF
IF (MOD(ABS(glamf(ji, jj) - glamf(ji, jj - 1)), 360.) < 1.E-8) THEN
gsinu(ji, jj) = 0.
gcosu(ji, jj) = 1.
END IF
IF (ABS(gphif(ji, jj) - gphif(ji - 1, jj)) < 1.E-8) THEN
gsinv(ji, jj) = 0.
gcosv(ji, jj) = 1.
END IF
IF (MOD(ABS(glamu(ji, jj) - glamu(ji, jj + 1)), 360.) < 1.E-8) THEN
gsinf(ji, jj) = 0.
gcosf(ji, jj) = 1.
END IF
END DO
END DO
!$ACC END KERNELS
CALL lbc_lnk_multi(gcost, 'T', - 1., gsint, 'T', - 1., gcosu, 'U', - 1., gsinu, 'U', - 1., gcosv, 'V', - 1., gsinv, 'V', - 1., gcosf, 'F', - 1., gsinf, 'F', - 1.)
END SUBROUTINE angle
SUBROUTINE geo2oce(pxx, pyy, pzz, cgrid, pte, ptn)
REAL(KIND = wp), DIMENSION(jpi, jpj), INTENT(IN ) :: pxx, pyy, pzz
CHARACTER(LEN = 1), INTENT(IN ) :: cgrid
REAL(KIND = wp), DIMENSION(jpi, jpj), INTENT( OUT) :: pte, ptn
REAL(KIND = wp), PARAMETER :: rpi = 3.141592653E0
REAL(KIND = wp), PARAMETER :: rad = rpi / 180.E0
INTEGER :: ig
INTEGER :: ierr
IF (.NOT. ALLOCATED(gsinlon)) THEN
ALLOCATE(gsinlon(jpi, jpj, 4), gcoslon(jpi, jpj, 4), gsinlat(jpi, jpj, 4), gcoslat(jpi, jpj, 4), STAT = ierr)
IF (lk_mpp) CALL mpp_sum(ierr)
IF (ierr /= 0) CALL ctl_stop('geo2oce: unable to allocate arrays')
END IF
SELECT CASE (cgrid)
CASE ('T')
ig = 1
IF (.NOT. linit(ig)) THEN
!$ACC KERNELS
gsinlon(:, :, ig) = SIN(rad * glamt(:, :))
gcoslon(:, :, ig) = COS(rad * glamt(:, :))
gsinlat(:, :, ig) = SIN(rad * gphit(:, :))
gcoslat(:, :, ig) = COS(rad * gphit(:, :))
linit(ig) = .TRUE.
!$ACC END KERNELS
END IF
CASE ('U')
ig = 2
IF (.NOT. linit(ig)) THEN
!$ACC KERNELS
gsinlon(:, :, ig) = SIN(rad * glamu(:, :))
gcoslon(:, :, ig) = COS(rad * glamu(:, :))
gsinlat(:, :, ig) = SIN(rad * gphiu(:, :))
gcoslat(:, :, ig) = COS(rad * gphiu(:, :))
linit(ig) = .TRUE.
!$ACC END KERNELS
END IF
CASE ('V')
ig = 3
IF (.NOT. linit(ig)) THEN
!$ACC KERNELS
gsinlon(:, :, ig) = SIN(rad * glamv(:, :))
gcoslon(:, :, ig) = COS(rad * glamv(:, :))
gsinlat(:, :, ig) = SIN(rad * gphiv(:, :))
gcoslat(:, :, ig) = COS(rad * gphiv(:, :))
linit(ig) = .TRUE.
!$ACC END KERNELS
END IF
CASE ('F')
ig = 4
IF (.NOT. linit(ig)) THEN
!$ACC KERNELS
gsinlon(:, :, ig) = SIN(rad * glamf(:, :))
gcoslon(:, :, ig) = COS(rad * glamf(:, :))
gsinlat(:, :, ig) = SIN(rad * gphif(:, :))
gcoslat(:, :, ig) = COS(rad * gphif(:, :))
linit(ig) = .TRUE.
!$ACC END KERNELS
END IF
CASE DEFAULT
WRITE(ctmp1, FMT = *) 'geo2oce : bad grid argument : ', cgrid
CALL ctl_stop(ctmp1)
END SELECT
pte = - gsinlon(:, :, ig) * pxx + gcoslon(:, :, ig) * pyy
ptn = - gcoslon(:, :, ig) * gsinlat(:, :, ig) * pxx - gsinlon(:, :, ig) * gsinlat(:, :, ig) * pyy + gcoslat(:, :, ig) * pzz
END SUBROUTINE geo2oce
SUBROUTINE oce2geo(pte, ptn, cgrid, pxx, pyy, pzz)
REAL(KIND = wp), DIMENSION(jpi, jpj), INTENT( IN ) :: pte, ptn
CHARACTER(LEN = 1), INTENT( IN ) :: cgrid
REAL(KIND = wp), DIMENSION(jpi, jpj), INTENT( OUT ) :: pxx, pyy, pzz
REAL(KIND = wp), PARAMETER :: rpi = 3.141592653E0
REAL(KIND = wp), PARAMETER :: rad = rpi / 180.E0
INTEGER :: ig
INTEGER :: ierr
IF (.NOT. ALLOCATED(gsinlon)) THEN
ALLOCATE(gsinlon(jpi, jpj, 4), gcoslon(jpi, jpj, 4), gsinlat(jpi, jpj, 4), gcoslat(jpi, jpj, 4), STAT = ierr)
IF (lk_mpp) CALL mpp_sum(ierr)
IF (ierr /= 0) CALL ctl_stop('oce2geo: unable to allocate arrays')
END IF
SELECT CASE (cgrid)
CASE ('T')
ig = 1
IF (.NOT. linit(ig)) THEN
!$ACC KERNELS
gsinlon(:, :, ig) = SIN(rad * glamt(:, :))
gcoslon(:, :, ig) = COS(rad * glamt(:, :))
gsinlat(:, :, ig) = SIN(rad * gphit(:, :))
gcoslat(:, :, ig) = COS(rad * gphit(:, :))
linit(ig) = .TRUE.
!$ACC END KERNELS
END IF
CASE ('U')
ig = 2
IF (.NOT. linit(ig)) THEN
!$ACC KERNELS
gsinlon(:, :, ig) = SIN(rad * glamu(:, :))
gcoslon(:, :, ig) = COS(rad * glamu(:, :))
gsinlat(:, :, ig) = SIN(rad * gphiu(:, :))
gcoslat(:, :, ig) = COS(rad * gphiu(:, :))
linit(ig) = .TRUE.
!$ACC END KERNELS
END IF
CASE ('V')
ig = 3
IF (.NOT. linit(ig)) THEN
!$ACC KERNELS
gsinlon(:, :, ig) = SIN(rad * glamv(:, :))
gcoslon(:, :, ig) = COS(rad * glamv(:, :))
gsinlat(:, :, ig) = SIN(rad * gphiv(:, :))
gcoslat(:, :, ig) = COS(rad * gphiv(:, :))
linit(ig) = .TRUE.
!$ACC END KERNELS
END IF
CASE ('F')
ig = 4
IF (.NOT. linit(ig)) THEN
!$ACC KERNELS
gsinlon(:, :, ig) = SIN(rad * glamf(:, :))
gcoslon(:, :, ig) = COS(rad * glamf(:, :))
gsinlat(:, :, ig) = SIN(rad * gphif(:, :))
gcoslat(:, :, ig) = COS(rad * gphif(:, :))
linit(ig) = .TRUE.
!$ACC END KERNELS
END IF
CASE DEFAULT
WRITE(ctmp1, FMT = *) 'geo2oce : bad grid argument : ', cgrid
CALL ctl_stop(ctmp1)
END SELECT
pxx = - gsinlon(:, :, ig) * pte - gcoslon(:, :, ig) * gsinlat(:, :, ig) * ptn
pyy = gcoslon(:, :, ig) * pte - gsinlon(:, :, ig) * gsinlat(:, :, ig) * ptn
pzz = gcoslat(:, :, ig) * ptn
END SUBROUTINE oce2geo
SUBROUTINE obs_rot(psinu, pcosu, psinv, pcosv)
REAL(KIND = wp), DIMENSION(jpi, jpj), INTENT( OUT ) :: psinu, pcosu, psinv, pcosv
IF (lmust_init) THEN
IF (lwp) WRITE(numout, FMT = *)
IF (lwp) WRITE(numout, FMT = *) ' obs_rot : geographic <--> stretched'
IF (lwp) WRITE(numout, FMT = *) ' ~~~~~~~ coordinate transformation'
CALL angle
lmust_init = .FALSE.
END IF
!$ACC KERNELS
psinu(:, :) = gsinu(:, :)
pcosu(:, :) = gcosu(:, :)
psinv(:, :) = gsinv(:, :)
pcosv(:, :) = gcosv(:, :)
!$ACC END KERNELS
END SUBROUTINE obs_rot
END MODULE geo2ocean