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Copy pathpressure_i.f90
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pressure_i.f90
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subroutine pressure_i(RHS_x,RHS_y)
!----------------------------------------------------- !
! M.Faganello, 2011 !
! !
! Eq. chiusura per gli ioni: calcolo di RHS per !
! !
! p_para e p_perp !
! !
! Cerri,2011: semplice riadattamento al caso in cui !
! sia elettroni che ioni siano girotropici!
! !
! p_perp ---> pi_perp !
! p_para ---> pi_para !
! q_perp ---> qi_perp !
! q_para ---> qi_para !
!----------------------------------------------------- !
use parameter_mod
use box_mod
use deriv_mod
use fields_UJ_mod
use fields_DP_mod
use fields_EB_mod
use dom_distr_mod
use parallel_mod
IMPLICIT NONE
integer :: ix, iy, iz
REAL(dp),DIMENSION (nxl,ny,nz) :: RHS_x, RHS_y
REAL(dp),ALLOCATABLE :: zx(:), zy(:), zz(:)
REAL(dp),ALLOCATABLE :: AA(:,:,:), bbx(:,:,:), bby(:,:,:), bbz(:,:,:)
REAL(dp),ALLOCATABLE :: At(:,:,:)
allocate(zx(nx))
allocate(zy(ny))
allocate(zz(nz))
allocate(AA(nxl, ny, nz))
allocate(bbx(nxl, ny, nz))
allocate(bby(nxl, ny, nz))
allocate(bbz(nxl, ny, nz))
allocate(At(nx, nyt, nz))
AA = dsqrt( Bx**2 + By**2 + Bz**2 )
AA = 1.0d0 / AA
bbx = Bx * AA
bby = By * AA
bbz = Bz * AA
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! Calcolo div b
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
CALL traspdist( bbx, At, 1 )
do iz = 1, nz
do iy = 1, nyt
call derx_1( At(:,iy, iz), zx )
At(:,iy, iz) = zx
enddo
enddo
CALL traspdist( RHS_x, At, -1 )
do iz= 1, nz
do ix = 1, nxl
call dery_1(bby(ix,:,iz), zy)
RHS_x(ix,:,iz) = RHS_x(ix,:,iz) + zy
enddo
enddo
RHS_x = RHS_x * qi_perp
!RHS_y = - RHS_x lo faccio dopo !!!!!
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! calcolo ( bb div Ui )
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
CALL traspdist( Uix, At, 1 )
do iz = 1, nz
do iy = 1, nyt
call derx_1( At(:,iy, iz), zx )
At(:,iy, iz) = zx
enddo
enddo
CALL traspdist( RHS_y, At, -1 )
do iz= 1, nz
do ix = 1, nxl
call dery_1(Uix(ix,:,iz), zy)
RHS_y(ix,:,iz) = bbx(ix,:,iz) * RHS_y(ix,:,iz) + bby(ix,:,iz) * zy
enddo
enddo
AA = RHS_y * bbx
CALL traspdist( Uiy, At, 1 )
do iz = 1, nz
do iy = 1, nyt
call derx_1( At(:,iy, iz), zx )
At(:,iy, iz) = zx
enddo
enddo
CALL traspdist( RHS_y, At, -1 )
do iz= 1, nz
do ix = 1, nxl
call dery_1(Uiy(ix,:,iz), zy)
RHS_y(ix,:,iz) = bbx(ix,:,iz) * RHS_y(ix,:,iz) + bby(ix,:,iz) * zy
enddo
enddo
AA = AA + bby * RHS_y
CALL traspdist( Uiz, At, 1 )
do iz = 1, nz
do iy = 1, nyt
call derx_1( At(:,iy, iz), zx )
At(:,iy, iz) = zx
enddo
enddo
CALL traspdist( RHS_y, At, -1 )
do iz= 1, nz
do ix = 1, nxl
call dery_1(Uiz(ix,:,iz), zy)
RHS_y(ix,:,iz) = bbx(ix,:,iz) * RHS_y(ix,:,iz) + bby(ix,:,iz) * zy
enddo
enddo
AA = AA + bbz * RHS_y
RHS_y = - RHS_x
RHS_x = 2.0d0 * ( RHS_x - AA * pi_para )
RHS_y = RHS_y + AA * pi_perp
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! calcolo div Ui
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
CALL traspdist( Uix, At, 1 )
do iz = 1, nz
do iy = 1, nyt
call derx_1( At(:,iy, iz), zx )
At(:,iy, iz) = zx
enddo
enddo
CALL traspdist( AA, At, -1 )
do iz= 1, nz
do ix = 1, nxl
call dery_1(Uiy(ix,:,iz), zy)
AA(ix,:,iz) = AA(ix,:,iz) + zy
enddo
enddo
RHS_y = RHS_y - AA * pi_perp
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! calcolo div [ Ui*pi_para + b*qi_para ]
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
AA = Uix * pi_para + bbx * qi_para
CALL traspdist( AA, At, 1 )
do iz = 1, nz
do iy = 1, nyt
call derx_1( At(:,iy, iz), zx )
At(:,iy, iz) = zx
enddo
enddo
CALL traspdist( AA, At, -1 )
RHS_x = RHS_x - AA
AA = Uiy * pi_para + bby * qi_para
do iz= 1, nz
do ix = 1, nxl
call dery_1(AA(ix,:,iz), zy)
RHS_x(ix,:,iz) = RHS_x(ix,:,iz) - zy
enddo
enddo
AA = Uiz * pi_para + bbz * qi_para
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! calcolo div [ Ui*pi_perp + b*qi_perp ]
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
AA = Uix * pi_perp + bbx * qi_perp
CALL traspdist( AA, At, 1 )
do iz = 1, nz
do iy = 1, nyt
call derx_1( At(:,iy, iz), zx )
At(:,iy, iz) = zx
enddo
enddo
CALL traspdist( AA, At, -1 )
RHS_y = RHS_y - AA
AA = Uiy * pi_perp + bby * qi_perp
do iz= 1, nz
do ix = 1, nxl
call dery_1(AA(ix,:,iz), zy)
RHS_y(ix,:,iz) = RHS_y(ix,:,iz) - zy
enddo
enddo
AA = Uiz * pi_perp + bbz * qi_perp
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
! BC MHD con caratteristiche lungo x
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
IF (ibc .EQ. 4) then
!N.B. va sommato con il meno
!RHS_x=n*dT/dt+T*n*dn/dt
!dove le derivate sono da intendersi parziali
if ( mpime == 0 ) then
RHS_x(1,:,:)= +(Den(1,:,:)*(-Ti_para(1,:,:)*c_s_inv(1,:,:)* &
L_0(1,:,:) - Ti_para(1,:,:)*gm1* 0.5 * &
(alpha_2(1,:,:) * c_s_inv(1,:,:) * &
(L_s_p(1,:,:) + L_s_m(1,:,:)) - alpha_1(1,:,:) * f_inv(1,:,:)* &
(L_f_p(1,:,:) + L_f_m(1,:,:)))+Ti_para(1,:,:)* &
( c_s_inv(1,:,:) * L_0(1,:,:) + 0.5 *&
(alpha_2(1,:,:) * c_s_inv(1,:,:)* &
(L_s_p(1,:,:) + L_s_m(1,:,:)) - alpha_1(1,:,:) * f_inv(1,:,:)* &
(L_f_p(1,:,:) + L_f_m(1,:,:))))))
AA(1,:,:) = - pi_para(1,:,:) * Uiy(1,:,:) * Den(1,:,:)**gm1
do iz = 1, nz
call dery_1(AA(1,:,iz), zy)
RHS_x(1,:,iz) = RHS_x(1,:,iz) + Den(1,:,iz)**(-gm1) * zy
enddo
AA(1,:,:) = Den(1,:,:) * Uiy(1,:,:)
do iz = 1, nz
call dery_1(AA(1,:,iz), zy)
RHS_x(1,:,iz) = RHS_x(1,:,iz) + gm1 * Ti_para(1,:,iz) * zy
enddo
RHS_y(1,:,:) = pi_perp(1,:,:) / pi_para(1,:,:) * RHS_x(1,:,:)
endif
if ( mpime == nprow -1 ) then
RHS_x(nxl,:,:)= +(Den(nxl,:,:)*(-Ti_para(nxl,:,:)*c_s_inv(2,:,:)* &
L_0(2,:,:) - Ti_para(nxl,:,:)*gm1* 0.5 * &
(alpha_2(2,:,:) * c_s_inv(2,:,:) * &
(L_s_p(2,:,:) + L_s_m(2,:,:)) - alpha_1(2,:,:) * f_inv(2,:,:)* &
(L_f_p(2,:,:) + L_f_m(2,:,:)))+ Ti_para(nxl,:,:)* &
( c_s_inv(2,:,:) * L_0(2,:,:) + 0.5 * &
(alpha_2(2,:,:) * c_s_inv(2,:,:) * &
(L_s_p(2,:,:) + L_s_m(2,:,:)) - alpha_1(2,:,:) * f_inv(2,:,:) * &
(L_f_p(2,:,:) + L_f_m(2,:,:))))))
AA(nxl,:,:) = - pi_para(nxl,:,:) * Uiy(nxl,:,:) * Den(nxl,:,:)**gm1
do iz = 1, nz
call dery_1(AA(nxl,:,iz), zy)
RHS_x(nxl,:,iz) = RHS_x(nxl,:,iz) + Den(nxl,:,iz)**(-gm1) * zy
enddo
AA(nxl,:,:) = Den(nxl,:,:) * Uiy(nxl,:,:)
do iz = 1, nz
call dery_1(AA(nxl,:,iz), zy)
RHS_x(nxl,:,iz) = RHS_x(nxl,:,iz) + gm1 * Ti_para(nxl,:,iz) * zy
enddo
RHS_y(nxl,:,:) = pi_perp(nxl,:,:) / pi_para(nxl,:,:) * RHS_x(nxl,:,:)
endif
ENDIF
deallocate(zx)
deallocate(zy)
deallocate(zz)
deallocate(AA)
deallocate(At)
deallocate(bbx)
deallocate(bby)
deallocate(bbz)
end subroutine