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gyacomo/src/numerics.F90
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numerics.F90
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MODULE numerics
USE basic
USE prec_const
USE grid
USE utility
USE coeff
implicit none
PUBLIC :: compute_derivatives, build_dnjs_table, evaluate_kernels
CONTAINS
! Compute the 2D particle temperature for electron and ions (sum over Laguerre)
SUBROUTINE compute_derivatives
END SUBROUTINE compute_derivatives
!******************************************************************************!
!!!!!!! Build the Laguerre-Laguerre coupling coefficient table for nonlin
!******************************************************************************!
SUBROUTINE build_dnjs_table
USE array, Only : dnjs
USE coeff
IMPLICIT NONE
INTEGER :: in, ij, is, J
INTEGER :: n_, j_, s_
J = max(jmaxe,jmaxi)
DO in = 1,J+1 ! Nested dependent loops to make benefit from dnjs symmetry
n_ = in - 1
DO ij = in,J+1
j_ = ij - 1
DO is = ij,J+1
s_ = is - 1
dnjs(in,ij,is) = TO_DP(ALL2L(n_,j_,s_,0))
! By symmetry
dnjs(in,is,ij) = dnjs(in,ij,is)
dnjs(ij,in,is) = dnjs(in,ij,is)
dnjs(ij,is,in) = dnjs(in,ij,is)
dnjs(is,ij,in) = dnjs(in,ij,is)
dnjs(is,in,ij) = dnjs(in,ij,is)
ENDDO
ENDDO
ENDDO
END SUBROUTINE build_dnjs_table
!******************************************************************************!
!******************************************************************************!
!!!!!!! Evaluate the kernels once for all
!******************************************************************************!
SUBROUTINE evaluate_kernels
USE basic
USE array, Only : kernel_e, kernel_i
USE grid
use model, ONLY : tau_e, tau_i, sigma_e, sigma_i, q_e, q_i, lambdaD, CLOS, sigmae2_taue_o2, sigmai2_taui_o2
IMPLICIT NONE
REAL(dp) :: factj, j_dp, j_int
REAL(dp) :: be_2, bi_2, alphaD
REAL(dp) :: kx, ky, kperp2
!!!!! Electron kernels !!!!!
!Precompute species dependant factors
factj = 1.0 ! Start of the recursive factorial
DO ij = 1, jmaxe+1
j_int = jarray_e(ij)
j_dp = REAL(j_int,dp) ! REAL of degree
! Recursive factorial
IF (j_dp .GT. 0) THEN
factj = factj * j_dp
ELSE
factj = 1._dp
ENDIF
DO ikx = ikxs,ikxe
kx = kxarray(ikx)
DO iky = ikys,ikye
ky = kyarray(iky)
be_2 = (kx**2 + ky**2) * sigmae2_taue_o2
kernel_e(ij, ikx, iky) = be_2**j_int * exp(-be_2)/factj
ENDDO
ENDDO
ENDDO
! Kernels closure
DO ikx = ikxs,ikxe
kx = kxarray(ikx)
DO iky = ikys,ikye
ky = kyarray(iky)
be_2 = (kx**2 + ky**2) * sigmae2_taue_o2
! Kernel ghost + 1 with Kj+1 = y/(j+1) Kj (/!\ ij = j+1)
kernel_e(ijeg_e,ikx,iky) = be_2/(real(ijeg_e-1,dp))*kernel_e(ije_e,ikx,iky)
! Kernel ghost - 1 with Kj-1 = j/y Kj(careful about the kperp=0)
IF ( be_2 .NE. 0 ) THEN
kernel_e(ijsg_e,ikx,iky) = (real(ijsg_e,dp))/be_2*kernel_e(ijs_e,ikx,iky)
ELSE
kernel_e(ijsg_e,ikx,iky) = 0._dp
ENDIF
ENDDO
ENDDO
!!!!! Ion kernels !!!!!
factj = 1.0 ! Start of the recursive factorial
DO ij = 1, jmaxi+1
j_int = jarray_e(ij)
j_dp = REAL(j_int,dp) ! REAL of degree
! Recursive factorial
IF (j_dp .GT. 0) THEN
factj = factj * j_dp
ELSE
factj = 1._dp
ENDIF
DO ikx = ikxs,ikxe
kx = kxarray(ikx)
DO iky = ikys,ikye
ky = kyarray(iky)
bi_2 = (kx**2 + ky**2) * sigmai2_taui_o2
kernel_i(ij, ikx, iky) = bi_2**j_int * exp(-bi_2)/factj
ENDDO
ENDDO
ENDDO
! Kernels closure
DO ikx = ikxs,ikxe
kx = kxarray(ikx)
DO iky = ikys,ikye
ky = kyarray(iky)
bi_2 = (kx**2 + ky**2) * sigmai2_taui_o2
! Kernel ghost + 1 with Kj+1 = y/(j+1) Kj
kernel_i(ijeg_i,ikx,iky) = bi_2/(real(ijeg_i-1,dp))*kernel_i(ije_i,ikx,iky)
! Kernel ghost - 1 with Kj-1 = j/y Kj(careful about the kperp=0)
IF ( bi_2 .NE. 0 ) THEN
kernel_i(ijsg_i,ikx,iky) = (real(ijsg_i,dp))/bi_2*kernel_i(ijs_i,ikx,iky)
ELSE
kernel_i(ijsg_i,ikx,iky) = 0._dp
ENDIF
ENDDO
ENDDO
END SUBROUTINE evaluate_kernels
!******************************************************************************!
END MODULE numerics
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