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gyacomo/src/poisson.F90
062c21db7967half_kx_plane

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poisson.F90
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SUBROUTINE poisson
! Solve poisson equation to get phi
USE basic
USE time_integration, ONLY: updatetlevel
USE array
USE fields
USE grid
USE utility
use model, ONLY : qe2_taue, qi2_taui, q_e, q_i, lambdaD
USE prec_const
IMPLICIT NONE
INTEGER :: ini,ine, i_, root_bcast
REAL(dp) :: Kne, Kni ! sub kernel factor for recursive build
REAL(dp) :: alphaD
REAL(dp) :: sum_kernel2_e, sum_kernel2_i ! Store sum Kn^2
COMPLEX(dp) :: sum_kernel_mom_e, sum_kernel_mom_i ! Store sum Kn*Napn
REAL(dp) :: gammaD
COMPLEX(dp) :: gammaD_phi
INTEGER :: count !! mpi integer to broadcast the electric potential at the end
COMPLEX(dp) :: buffer(ikrs:ikre,ikzs:ikze)
!! Poisson can be solved only for process containing ip=1
IF ( (ips_e .EQ. 1) .AND. (ips_i .EQ. 1) ) THEN
! Execution time start
CALL cpu_time(t0_poisson)
DO ikr=ikrs,ikre
DO ikz=ikzs,ikze
!!!!!!!!!!!!! Electrons sum(Kernel * Ne0n) (skm) and sum(Kernel**2) (sk2)
sum_kernel_mom_e = 0._dp
sum_kernel2_e = 0._dp
! loop over n only if the max polynomial degree
DO ine=1,jmaxe+1 ! ine = n+1
Kne = kernel_e(ine, ikr, ikz)
sum_kernel_mom_e = sum_kernel_mom_e + Kne * moments_e(1, ine, ikr, ikz, updatetlevel)
sum_kernel2_e = sum_kernel2_e + Kne**2 ! ... sum recursively ...
END DO
!!!!!!!!!!!!!!!!! Ions sum(Kernel * Ni0n) (skm) and sum(Kernel**2) (sk2)
sum_kernel_mom_i = 0
sum_kernel2_i = 0
! loop over n only if the max polynomial degree
DO ini=1,jmaxi+1
Kni = kernel_i(ini, ikr, ikz)
sum_kernel_mom_i = sum_kernel_mom_i + Kni * moments_i(1, ini, ikr, ikz, updatetlevel)
sum_kernel2_i = sum_kernel2_i + Kni**2 ! ... sum recursively ...
END DO
!!!!!!!!!!!!!!! Assembling the poisson equation !!!!!!!!!!!!!!!!!!!!!!!!!!
alphaD = (krarray(ikr)**2 + kzarray(ikz)**2) * lambdaD**2
gammaD = alphaD + qe2_taue * (1._dp - sum_kernel2_e) & ! Called Poisson_ in MOLI
+ qi2_taui * (1._dp - sum_kernel2_i)
gammaD_phi = q_e * sum_kernel_mom_e + q_i * sum_kernel_mom_i
phi(ikr, ikz) = gammaD_phi/gammaD
END DO
END DO
! Cancel origin singularity
IF ((ikr_0 .GE. ikrs) .AND. (ikr_0 .LE. ikre)) phi(ikr_0,ikz_0) = 0
ENDIF
! Transfer phi to all the others process along p
CALL manual_2D_bcast(phi(ikrs:ikre,ikzs:ikze))
! Execution time end
CALL cpu_time(t1_poisson)
tc_poisson = tc_poisson + (t1_poisson - t0_poisson)
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
END SUBROUTINE poisson
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