MODULE processing
! contains the Hermite-Laguerre collision operators. Solved using COSOlver.
USE basic
USE prec_const
USE grid
USE geometry
USE utility
USE calculus
implicit none
REAL(dp), PUBLIC, PROTECTED :: pflux_ri, gflux_ri
REAL(dp), PUBLIC, PROTECTED :: hflux_x
PUBLIC :: compute_nadiab_moments_z_gradients_and_interp
PUBLIC :: compute_density, compute_upar, compute_uperp
PUBLIC :: compute_Tpar, compute_Tperp, compute_fluid_moments
PUBLIC :: compute_radial_ion_transport, compute_radial_heatflux
CONTAINS
! 1D diagnostic to compute the average radial particle transport <n_i v_ExB>_r
SUBROUTINE compute_radial_ion_transport
USE fields, ONLY : moments_i, phi
USE array, ONLY : kernel_i
USE geometry, ONLY : Jacobian
USE time_integration, ONLY : updatetlevel
IMPLICIT NONE
COMPLEX(dp) :: pflux_local, gflux_local, integral
REAL(dp) :: ky_, buffer(1:2)
INTEGER :: i_, world_rank, world_size, root
COMPLEX(dp), DIMENSION(izgs:izge) :: integrant
pflux_local = 0._dp ! particle flux
gflux_local = 0._dp ! gyrocenter flux
integrant = 0._dp ! auxiliary variable for z integration
IF(ips_i .EQ. 1) THEN
!! Gyro center flux (drift kinetic)
DO iky = ikys,ikye
ky_ = kyarray(iky)
DO ikx = ikxs,ikxe
DO iz = izgs,izge
integrant(iz) = Jacobian(iz,0)*imagu * ky_ * moments_i(ip0_i,1,iky,ikx,iz,updatetlevel) * CONJG(phi(iky,ikx,iz))
ENDDO
! Integrate over z
call simpson_rule_z(integrant,integral)
! add contribution
gflux_local = gflux_local + integral*iInt_Jacobian
ENDDO
ENDDO
!! Particle flux
DO iky = ikys,ikye
ky_ = kyarray(iky)
DO ikx = ikxs,ikxe
integrant = 0._dp ! auxiliary variable for z integration
DO ij = ijs_i, ije_i
DO iz = izgs,izge
integrant(iz) = integrant(iz) + &
Jacobian(iz,0)*imagu * ky_ * kernel_i(ij,iky,ikx,iz,0) &
*moments_i(ip0_i,ij,iky,ikx,iz,updatetlevel) * CONJG(phi(iky,ikx,iz))
ENDDO
ENDDO
! Integrate over z
call simpson_rule_z(integrant,integral)
! add contribution
pflux_local = pflux_local + integral*iInt_Jacobian
ENDDO
ENDDO
ENDIF
buffer(1) = REAL(gflux_local)
buffer(2) = REAL(pflux_local)
root = 0
!Gather manually among the rank_p=0 processes and perform the sum
gflux_ri = 0
pflux_ri = 0
IF (num_procs_ky .GT. 1) THEN
!! Everyone sends its local_sum to root = 0
IF (rank_ky .NE. root) THEN
CALL MPI_SEND(buffer, 2 , MPI_DOUBLE_PRECISION, root, 1234, comm_ky, ierr)
ELSE
! Recieve from all the other processes
DO i_ = 0,num_procs_ky-1
IF (i_ .NE. rank_ky) &
CALL MPI_RECV(buffer, 2 , MPI_DOUBLE_PRECISION, i_, 1234, comm_ky, MPI_STATUS_IGNORE, ierr)
gflux_ri = gflux_ri + buffer(1)
pflux_ri = pflux_ri + buffer(2)
ENDDO
ENDIF
ELSE
gflux_ri = gflux_local
pflux_ri = pflux_local
ENDIF
! if(my_id .eq. 0) write(*,*) 'pflux_ri = ',pflux_ri
END SUBROUTINE compute_radial_ion_transport
! 1D diagnostic to compute the average radial particle transport <n_i v_ExB>_r
SUBROUTINE compute_radial_heatflux
USE fields, ONLY : moments_i, moments_e, phi
USE array, ONLY : kernel_e, kernel_i
USE geometry, ONLY : Jacobian
USE time_integration, ONLY : updatetlevel
USE model, ONLY : qe_taue, qi_taui, KIN_E
IMPLICIT NONE
COMPLEX(dp) :: hflux_local, integral
REAL(dp) :: ky_, buffer(1:2), j_dp
INTEGER :: i_, world_rank, world_size, root
COMPLEX(dp), DIMENSION(izgs:izge) :: integrant ! charge density q_a n_a
hflux_local = 0._dp ! particle flux
IF(ips_i .EQ. 1 .AND. ips_e .EQ. 1) THEN
! Loop to compute gamma_kx = sum_ky sum_j -i k_z Kernel_j Ni00 * phi
DO iky = ikys,ikye
ky_ = kyarray(iky)
DO ikx = ikxs,ikxe
integrant = 0._dp
DO ij = ijs_i, ije_i
DO iz = izgs,izge
integrant(iz) = integrant(iz) + Jacobian(iz,0)*imagu*ky_*CONJG(phi(iky,ikx,iz))&
*(twothird * ( 2._dp*j_dp * kernel_i(ij ,iky,ikx,iz,0) &
- (j_dp+1) * kernel_i(ij+1,iky,ikx,iz,0) &
- j_dp * kernel_i(ij-1,iky,ikx,iz,0))&
* (moments_i(ip0_i,ij,iky,ikx,iz,updatetlevel)+qi_taui*kernel_i(ij,iky,ikx,iz,0)*phi(iky,ikx,iz)) &
+ SQRT2*onethird * kernel_i(ij,iky,ikx,iz,0) * moments_i(ip2_i,ij,iky,ikx,iz,updatetlevel))
ENDDO
ENDDO
IF(KIN_E) THEN
DO ij = ijs_e, ije_e
DO iz = izgs,izge
integrant(iz) = integrant(iz) + Jacobian(iz,0)*imagu*ky_*CONJG(phi(iky,ikx,iz))&
*(twothird * ( 2._dp*j_dp * kernel_e(ij ,iky,ikx,iz,0) &
- (j_dp+1) * kernel_e(ij+1,iky,ikx,iz,0) &
- j_dp * kernel_e(ij-1,iky,ikx,iz,0))&
* (moments_e(ip0_e,ij,iky,ikx,iz,updatetlevel)+qe_taue*kernel_e(ij,iky,ikx,iz,0)*phi(iky,ikx,iz)) &
+ SQRT2*onethird * kernel_e(ij,iky,ikx,iz,0) * moments_e(ip2_e,ij,iky,ikx,iz,updatetlevel))
ENDDO
ENDDO
ENDIF
! Integrate over z
call simpson_rule_z(integrant,integral)
hflux_local = hflux_local + integral*iInt_Jacobian
ENDDO
ENDDO
buffer(2) = REAL(hflux_local)
root = 0
!Gather manually among the rank_p=0 processes and perform the sum
hflux_x = 0
IF (num_procs_ky .GT. 1) THEN
!! Everyone sends its local_sum to root = 0
IF (rank_ky .NE. root) THEN
CALL MPI_SEND(buffer, 2 , MPI_DOUBLE_PRECISION, root, 1234, comm_ky, ierr)
ELSE
! Recieve from all the other processes
DO i_ = 0,num_procs_ky-1
IF (i_ .NE. rank_ky) &
CALL MPI_RECV(buffer, 2 , MPI_DOUBLE_PRECISION, i_, 1234, comm_ky, MPI_STATUS_IGNORE, ierr)
hflux_x = hflux_x + buffer(2)
ENDDO
ENDIF
ELSE
hflux_x = hflux_local
ENDIF
ENDIF
END SUBROUTINE compute_radial_heatflux
SUBROUTINE compute_nadiab_moments_z_gradients_and_interp
! evaluate the non-adiabatique ion moments
!
! n_{pi} = N^{pj} + kernel(j) /tau_i phi delta_p0
!
USE fields, ONLY : moments_i, moments_e, phi
USE array, ONLY : kernel_e, kernel_i, nadiab_moments_e, nadiab_moments_i, &
ddz_nepj, ddz2_Nepj, interp_nepj,&
ddz_nipj, ddz2_Nipj, interp_nipj
USE time_integration, ONLY : updatetlevel
USE model, ONLY : qe_taue, qi_taui, KIN_E
USE calculus, ONLY : grad_z, grad_z2, interp_z
IMPLICIT NONE
INTEGER :: eo, p_int
CALL cpu_time(t0_process)
! Electron non adiab moments
IF(KIN_E) THEN
DO ip=ipgs_e,ipge_e
IF(parray_e(ip) .EQ. 0) THEN
DO ij=ijgs_e,ijge_e
nadiab_moments_e(ip,ij,:,:,:) = moments_e(ip,ij,:,:,:,updatetlevel) &
+ qe_taue*kernel_e(ij,:,:,:,0)*phi(:,:,:)
ENDDO
ELSE
DO ij=ijgs_e,ijge_e
nadiab_moments_e(ip,ij,:,:,:) = moments_e(ip,ij,:,:,:,updatetlevel)
ENDDO
ENDIF
ENDDO
ENDIF
! Ions non adiab moments
DO ip=ipgs_i,ipge_i
IF(parray_i(ip) .EQ. 0) THEN
DO ij=ijgs_i,ijge_i
nadiab_moments_i(ip,ij,:,:,:) = moments_i(ip,ij,:,:,:,updatetlevel) &
+ qi_taui*kernel_i(ij,:,:,:,0)*phi(:,:,:)
ENDDO
ELSE
DO ij=ijgs_i,ijge_i
nadiab_moments_i(ip,ij,:,:,:) = moments_i(ip,ij,:,:,:,updatetlevel)
ENDDO
ENDIF
ENDDO
!------------- INTERP AND GRADIENTS ALONG Z ----------------------------------
IF (KIN_E) THEN
DO ikx = ikxs,ikxe
DO iky = ikys,ikye
DO ij = ijgs_e,ijge_e
DO ip = ipgs_e,ipge_e
p_int = parray_e(ip)
eo = MODULO(p_int,2) ! Indicates if we are on even or odd z grid
! Compute z derivatives
CALL grad_z(eo,nadiab_moments_e(ip,ij,iky,ikx,izgs:izge), ddz_nepj(ip,ij,iky,ikx,izs:ize))
! Parallel hyperdiffusion
CALL grad_z2(moments_e(ip,ij,iky,ikx,izgs:izge,updatetlevel),ddz2_Nepj(ip,ij,iky,ikx,izs:ize))
! Compute even odd grids interpolation
CALL interp_z(eo,nadiab_moments_e(ip,ij,iky,ikx,izgs:izge), interp_nepj(ip,ij,iky,ikx,izs:ize))
ENDDO
ENDDO
ENDDO
ENDDO
ENDIF
DO ikx = ikxs,ikxe
DO iky = ikys,ikye
DO ij = ijgs_i,ijge_i
DO ip = ipgs_i,ipge_i
p_int = parray_i(ip)
eo = MODULO(p_int,2) ! Indicates if we are on even or odd z grid
! Compute z first derivative
CALL grad_z(eo,nadiab_moments_i(ip,ij,iky,ikx,izgs:izge), ddz_nipj(ip,ij,iky,ikx,izs:ize))
! Parallel hyperdiffusion
CALL grad_z2(moments_i(ip,ij,iky,ikx,izgs:izge,updatetlevel),ddz2_Nipj(ip,ij,iky,ikx,izs:ize))
! Compute even odd grids interpolation
CALL interp_z(eo,nadiab_moments_i(ip,ij,iky,ikx,izgs:izge), interp_nipj(ip,ij,iky,ikx,izs:ize))
ENDDO
ENDDO
ENDDO
ENDDO
! Execution time end
CALL cpu_time(t1_process)
tc_process = tc_process + (t1_process - t0_process)
END SUBROUTINE compute_nadiab_moments_z_gradients_and_interp
!_____________________________________________________________________________!
!!!!! FLUID MOMENTS COMPUTATIONS !!!!!
! Compute the 2D particle density for electron and ions (sum over Laguerre)
SUBROUTINE compute_density
USE array, ONLY : dens_e, dens_i, kernel_e, kernel_i, nadiab_moments_e, nadiab_moments_i
USE model, ONLY : KIN_E
IMPLICIT NONE
COMPLEX(dp) :: dens
IF ( CONTAINS_ip0_e .AND. CONTAINS_ip0_i ) THEN
! Loop to compute dens_i = sum_j kernel_j Ni0j at each k
DO iz = izs,ize
DO iky = ikys,ikye
DO ikx = ikxs,ikxe
IF(KIN_E) THEN
! electron density
dens = 0._dp
DO ij = ijs_e, ije_e
dens = dens + kernel_e(ij,iky,ikx,iz,0) * nadiab_moments_e(ip0_e,ij,iky,ikx,iz)
ENDDO
dens_e(iky,ikx,iz) = dens
ENDIF
! ion density
dens = 0._dp
DO ij = ijs_i, ije_i
dens = dens + kernel_i(ij,iky,ikx,iz,0) * nadiab_moments_i(ip0_e,ij,iky,ikx,iz)
ENDDO
dens_i(iky,ikx,iz) = dens
ENDDO
ENDDO
ENDDO
ENDIF
! IF(KIN_E)&
! CALL manual_3D_bcast(dens_e(ikxs:ikxe,ikys:ikye,izs:ize))
! CALL manual_3D_bcast(dens_i(ikxs:ikxe,ikys:ikye,izs:ize))
END SUBROUTINE compute_density
! Compute the 2D particle fluid perp velocity for electron and ions (sum over Laguerre)
SUBROUTINE compute_uperp
USE array, ONLY : uper_e, uper_i, kernel_e, kernel_i, nadiab_moments_e, nadiab_moments_i
USE model, ONLY : KIN_E
IMPLICIT NONE
COMPLEX(dp) :: uperp
IF ( CONTAINS_ip0_e .AND. CONTAINS_ip0_i ) THEN
DO iz = izs,ize
DO iky = ikys,ikye
DO ikx = ikxs,ikxe
IF(KIN_E) THEN
! electron
uperp = 0._dp
DO ij = ijs_e, ije_e
uperp = uperp + kernel_e(ij,iky,ikx,iz,0) *&
0.5_dp*(nadiab_moments_e(ip0_e,ij,iky,ikx,iz) - nadiab_moments_e(ip0_e,ij-1,iky,ikx,iz))
ENDDO
uper_e(iky,ikx,iz) = uperp
ENDIF
! ion
uperp = 0._dp
DO ij = ijs_i, ije_i
uperp = uperp + kernel_i(ij,iky,ikx,iz,0) *&
0.5_dp*(nadiab_moments_i(ip0_i,ij,iky,ikx,iz) - nadiab_moments_i(ip0_i,ij-1,iky,ikx,iz))
ENDDO
uper_i(iky,ikx,iz) = uperp
ENDDO
ENDDO
ENDDO
ENDIF
! IF(KIN_E)&
! CALL manual_3D_bcast(uper_e(ikxs:ikxe,ikys:ikye,izs:ize))
! CALL manual_3D_bcast(uper_i(ikxs:ikxe,ikys:ikye,izs:ize))
END SUBROUTINE compute_uperp
! Compute the 2D particle fluid par velocity for electron and ions (sum over Laguerre)
SUBROUTINE compute_upar
USE array, ONLY : upar_e, upar_i, kernel_e, kernel_i, nadiab_moments_e, nadiab_moments_i
USE model, ONLY : KIN_E
IMPLICIT NONE
COMPLEX(dp) :: upar
IF ( CONTAINS_ip1_e .AND. CONTAINS_ip1_i ) THEN
DO iz = izs,ize
DO iky = ikys,ikye
DO ikx = ikxs,ikxe
IF(KIN_E) THEN
! electron
upar = 0._dp
DO ij = ijs_e, ije_e
upar = upar + kernel_e(ij,iky,ikx,iz,1)*nadiab_moments_e(ip1_e,ij,iky,ikx,iz)
ENDDO
upar_e(iky,ikx,iz) = upar
ENDIF
! ion
upar = 0._dp
DO ij = ijs_i, ije_i
upar = upar + kernel_i(ij,iky,ikx,iz,1)*nadiab_moments_i(ip1_i,ij,iky,ikx,iz)
ENDDO
upar_i(iky,ikx,iz) = upar
ENDDO
ENDDO
ENDDO
ELSE
IF(KIN_E)&
upar_e = 0
upar_i = 0
ENDIF
! IF(KIN_E)&
! CALL manual_3D_bcast(upar_e(ikxs:ikxe,ikys:ikye,izs:ize))
! CALL manual_3D_bcast(upar_i(ikxs:ikxe,ikys:ikye,izs:ize))
END SUBROUTINE compute_upar
! Compute the 2D particle temperature for electron and ions (sum over Laguerre)
SUBROUTINE compute_tperp
USE array, ONLY : Tper_e, Tper_i, kernel_e, kernel_i, nadiab_moments_e, nadiab_moments_i
USE model, ONLY : KIN_E
IMPLICIT NONE
REAL(dp) :: j_dp
COMPLEX(dp) :: Tperp
IF ( CONTAINS_ip0_e .AND. CONTAINS_ip0_i .AND. &
CONTAINS_ip2_e .AND. CONTAINS_ip2_i ) THEN
! Loop to compute T = 1/3*(Tpar + 2Tperp)
DO iz = izs,ize
DO iky = ikys,ikye
DO ikx = ikxs,ikxe
! electron temperature
IF(KIN_E) THEN
Tperp = 0._dp
DO ij = ijs_e, ije_e
j_dp = REAL(ij-1,dp)
Tperp = Tperp + kernel_e(ij,iky,ikx,iz,0)*&
((2_dp*j_dp+1)*nadiab_moments_e(ip0_e,ij ,iky,ikx,iz)&
-j_dp *nadiab_moments_e(ip0_e,ij-1,iky,ikx,iz)&
-j_dp+1 *nadiab_moments_e(ip0_e,ij+1,iky,ikx,iz))
ENDDO
Tper_e(iky,ikx,iz) = Tperp
ENDIF
! ion temperature
Tperp = 0._dp
DO ij = ijs_i, ije_i
j_dp = REAL(ij-1,dp)
Tperp = Tperp + kernel_i(ij,iky,ikx,iz,0)*&
((2_dp*j_dp+1)*nadiab_moments_i(ip0_i,ij ,iky,ikx,iz)&
-j_dp *nadiab_moments_i(ip0_i,ij-1,iky,ikx,iz)&
-j_dp+1 *nadiab_moments_i(ip0_i,ij+1,iky,ikx,iz))
ENDDO
Tper_i(iky,ikx,iz) = Tperp
ENDDO
ENDDO
ENDDO
ENDIF
! IF(KIN_E)&
! CALL manual_3D_bcast(Tper_e(ikxs:ikxe,ikys:ikye,izs:ize))
! CALL manual_3D_bcast(Tper_i(ikxs:ikxe,ikys:ikye,izs:ize))
END SUBROUTINE compute_Tperp
! Compute the 2D particle temperature for electron and ions (sum over Laguerre)
SUBROUTINE compute_Tpar
USE array, ONLY : Tpar_e, Tpar_i, kernel_e, kernel_i, nadiab_moments_e, nadiab_moments_i
USE model, ONLY : KIN_E
IMPLICIT NONE
REAL(dp) :: j_dp
COMPLEX(dp) :: tpar
IF ( CONTAINS_ip0_e .AND. CONTAINS_ip0_i .AND. &
CONTAINS_ip2_e .AND. CONTAINS_ip2_i ) THEN
! Loop to compute T = 1/3*(Tpar + 2Tperp)
DO iz = izs,ize
DO iky = ikys,ikye
DO ikx = ikxs,ikxe
! electron temperature
IF(KIN_E) THEN
Tpar = 0._dp
DO ij = ijs_e, ije_e
j_dp = REAL(ij-1,dp)
Tpar = Tpar + kernel_e(ij,iky,ikx,iz,0)*&
(SQRT2 * nadiab_moments_e(ip2_e,ij,iky,ikx,iz) &
+ nadiab_moments_e(ip0_e,ij,iky,ikx,iz))
ENDDO
Tpar_e(iky,ikx,iz) = Tpar
ENDIF
! ion temperature
Tpar = 0._dp
DO ij = ijs_i, ije_i
j_dp = REAL(ij-1,dp)
Tpar = Tpar + kernel_i(ij,iky,ikx,iz,0)*&
(SQRT2 * nadiab_moments_i(ip2_i,ij,iky,ikx,iz) &
+ nadiab_moments_i(ip0_i,ij,iky,ikx,iz))
ENDDO
Tpar_i(iky,ikx,iz) = Tpar
ENDDO
ENDDO
ENDDO
ENDIF
! IF(KIN_E)&
! CALL manual_3D_bcast(Tpar_e(ikxs:ikxe,ikys:ikye,izs:ize))
! CALL manual_3D_bcast(Tpar_i(ikxs:ikxe,ikys:ikye,izs:ize))
END SUBROUTINE compute_Tpar
! Compute the 2D particle fluid moments for electron and ions (sum over Laguerre)
SUBROUTINE compute_fluid_moments
USE array, ONLY : dens_e, Tpar_e, Tper_e, dens_i, Tpar_i, Tper_i, temp_e, temp_i
USE model, ONLY : KIN_E
IMPLICIT NONE
CALL compute_density
CALL compute_upar
CALL compute_uperp
CALL compute_Tpar
CALL compute_Tperp
! Temperature
temp_e = (Tpar_e - 2._dp * Tper_e)/3._dp - dens_e
temp_i = (Tpar_i - 2._dp * Tper_i)/3._dp - dens_i
END SUBROUTINE compute_fluid_moments
END MODULE processing