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flow_shear.f90
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module flow_shear
implicit none
public :: flow_shear_initialized
public :: init_flow_shear, finish_flow_shear
public :: prl_shear, prl_shear_p, prp_shear
public :: advance_parallel_flow_shear, advance_perp_flow_shear
public :: v_edge, v_shift
public :: shift_times
private
logical :: flow_shear_initialized = .false.
complex, dimension (:,:), allocatable :: upwind_advect
real, dimension (:,:,:), allocatable :: prl_shear, prl_shear_p
real, dimension (:), allocatable :: prp_shear, shift_times
integer :: shift_sign, shift_start
real :: v_edge, v_shift = 0.
contains
subroutine init_flow_shear
use stella_layouts, only: vmu_lo
use stella_layouts, only: iv_idx, imu_idx, is_idx
use stella_time, only: code_dt
use species, only: spec
use constants, only: zi, pi
use zgrid, only: nzgrid
use kt_grids, only: x, x_d, nalpha, nx, nakx, naky, akx, aky, ikx_max, zonal_mode, box
use fields_arrays, only: shift_state
use stella_geometry, only: q_as_x, geo_surf, bmag, btor, rmajor, dBdrho, dIdrho
use stella_geometry, only: dydalpha, drhodpsi
use physics_parameters, only: g_exb, g_exbfac, omprimfac
use vpamu_grids, only: vperp2, vpa, mu
use vpamu_grids, only: maxwell_vpa, maxwell_mu, maxwell_fac
use physics_flags, only: radial_variation, prp_shear_enabled, hammett_flow_shear
use file_utils, only: runtype_option_switch, runtype_multibox
use job_manage, only: njobs
use mp, only: job, send, receive, crossdomprocs, subprocs, scope
implicit none
integer :: is, imu, iv, ivmu, iz, ia
real, dimension (:,:), allocatable :: energy
if (flow_shear_initialized) return
flow_shear_initialized = .true.
if(abs(g_exb*g_exbfac) > epsilon(0.)) prp_shear_enabled = .true.
if(runtype_option_switch .eq. runtype_multibox .and. job.eq.1) then
hammett_flow_shear = .false.
endif
if(runtype_option_switch .eq. runtype_multibox) then
call scope(crossdomprocs)
if(job == 1) then
call send(g_exbfac*g_exb*x(1) ,0,120)
call send(g_exbfac*g_exb*x(nx),njobs-1,121)
v_shift = 0.0
elseif (job == 0) then
call receive(v_edge, 1, 120)
v_shift=v_edge-g_exbfac*g_exb*x(1)
elseif (job == njobs-1) then
call receive(v_edge, 1, 121)
v_shift=v_edge-g_exbfac*g_exb*x(nx)
endif
call scope(subprocs)
endif
ia=1
!parallel flow shear
allocate (energy(nalpha,-nzgrid:nzgrid))
if (.not.allocated(prl_shear)) &
allocate (prl_shear(nalpha,-nzgrid:nzgrid,vmu_lo%llim_proc:vmu_lo%ulim_alloc))
if (radial_variation.and..not.allocated(prl_shear_p)) &
allocate (prl_shear_p(nalpha,-nzgrid:nzgrid,vmu_lo%llim_proc:vmu_lo%ulim_alloc))
do ivmu = vmu_lo%llim_proc, vmu_lo%ulim_proc
is = is_idx(vmu_lo,ivmu)
iv = iv_idx(vmu_lo,ivmu)
imu = imu_idx(vmu_lo,ivmu)
do iz = -nzgrid,nzgrid
prl_shear(ia,iz,ivmu) = -omprimfac*g_exb*code_dt*vpa(iv)*spec(is)%stm_psi0 &
* dydalpha*drhodpsi &
*(geo_surf%qinp_psi0/geo_surf%rhoc_psi0) &
*(btor(iz)*rmajor(iz)/bmag(ia,iz))*(spec(is)%mass/spec(is)%temp) &
* maxwell_vpa(iv,is)*maxwell_mu(ia,iz,imu,is)*maxwell_fac(is)
enddo
if(radial_variation) then
energy = (vpa(iv)**2 + vperp2(:,:,imu))*(spec(is)%temp_psi0/spec(is)%temp)
prl_shear_p(:,:,ivmu) = prl_shear(:,:,ivmu)*(dIdrho/spread(rmajor*btor,1,nalpha) &
- spread(dBdrho,1,nalpha)/bmag &
- spec(is)%fprim - spec(is)%tprim*(energy-2.5) &
- 2.*mu(imu)*spread(dBdrho,1,nalpha))
endif
enddo
if(q_as_x) prl_shear = prl_shear/geo_surf%shat_psi0
deallocate(energy)
!perpendicular flow shear
if (.not.allocated(shift_times)) allocate (shift_times(naky))
if (.not.allocated(upwind_advect)) allocate (upwind_advect(naky,nakx))
if (.not.allocated(shift_state)) then
allocate (shift_state(naky))
shift_state = 0.
endif
if(nakx.gt.1.and.abs(g_exb*g_exbfac).gt.0) then
shift_times = abs(akx(2)/(aky*g_exb*g_exbfac))
endif
if(zonal_mode(1)) shift_times(1) = huge(0.)
if(g_exb*g_exbfac > 0.) then
shift_sign = -1
shift_start = ikx_max
else
shift_sign=1
shift_start = ikx_max + 1
endif
if(box) upwind_advect = exp(-zi*g_exbfac*g_exb*code_dt*spread(aky,2,nakx)*spread(x_d,1,naky))
end subroutine init_flow_shear
subroutine advance_parallel_flow_shear (gout)
use stella_layouts, only: vmu_lo
use zgrid, only: nzgrid, ntubes
use kt_grids, only: nakx, naky
use fields, only: get_dchidy
use fields_arrays, only: phi, apar
implicit none
complex, dimension (:,:,-nzgrid:,:,vmu_lo%llim_proc:), intent (in out) :: gout
complex, dimension (:,:), allocatable :: g0k
integer :: ivmu, iz, it, ia
ia = 1
allocate (g0k(naky,nakx))
do ivmu = vmu_lo%llim_proc, vmu_lo%ulim_proc
do it = 1, ntubes
do iz = -nzgrid, nzgrid
call get_dchidy (iz, ivmu, phi(:,:,iz,it), apar(:,:,iz,it), g0k)
!parallel flow shear
gout(:,:,iz,it,ivmu) = gout(:,:,iz,it,ivmu) + prl_shear(ia,iz,ivmu)*g0k
enddo
enddo
enddo
deallocate (g0k)
end subroutine advance_parallel_flow_shear
subroutine advance_perp_flow_shear (g)
use stella_layouts, only: vmu_lo
use constants, only: zi
use physics_parameters, only: g_exb, g_exbfac
use physics_flags, only: prp_shear_enabled, hammett_flow_shear
use stella_transforms, only: transform_kx2x_unpadded, transform_x2kx_unpadded
use zgrid, only: nzgrid, ntubes
use fields_arrays, only: shift_state
use kt_grids, only: aky, nakx, naky, nx, ikx_max, zonal_mode
use file_utils, only: runtype_option_switch, runtype_multibox
use stella_time, only: code_dt
implicit none
complex, dimension (:,:,-nzgrid:,:,vmu_lo%llim_proc:), intent (in out) :: g
complex, dimension (:,:), allocatable :: g0k, g0x
real :: shift_fac
integer :: ivmu, iz, it, iky
if(.not.prp_shear_enabled) return
allocate (g0k(naky,nakx))
allocate (g0x(naky,nakx))
if(hammett_flow_shear) then
!TODO (DSO) - This assumes the timestep is small enough so that a shift is never
! more than a single cell
do ivmu = vmu_lo%llim_proc, vmu_lo%ulim_proc
do it = 1, ntubes
do iz = -nzgrid, nzgrid
do iky=1,naky
if(zonal_mode(iky)) cycle
if(shift_state(iky) > 0.5*shift_times(iky)) then
if(shift_sign < 0) then
!shift everything left by one
g(iky,(ikx_max+1):(nakx-1),iz,it,ivmu) = g(iky,ikx_max+2:,iz,it,ivmu)
g(iky,nakx,iz,it,ivmu) = g(iky,1,iz,it,ivmu)
g(iky,:ikx_max-1,iz,it,ivmu) = g(iky,2:ikx_max,iz,it,ivmu)
else
!shift everything right by one
g(iky,2:ikx_max,iz,it,ivmu) = g(iky,1:(ikx_max-1),iz,it,ivmu)
g(iky,1,iz,it,ivmu) = g(iky,nakx,iz,it,ivmu)
g(iky,ikx_max+2:,iz,it,ivmu) = g(iky,(ikx_max+1):(nakx-1),iz,it,ivmu)
endif
g(iky,shift_start,iz,it,ivmu) = 0.
endif
enddo
enddo
enddo
enddo
else
do ivmu = vmu_lo%llim_proc, vmu_lo%ulim_proc
do it = 1, ntubes
do iz = -nzgrid, nzgrid
g0k = g(:,:,iz,it,ivmu)
call transform_kx2x_unpadded (g0k, g0x)
g0x = upwind_advect*g0x
call transform_x2kx_unpadded (g0x, g0k)
do iky = 1, naky
if(zonal_mode(iky)) cycle
if(shift_state(iky) > shift_times(iky)) then
g0k(iky,shift_start) = 0.0
endif
enddo
g(:,:,iz,it,ivmu) = g0k
enddo
enddo
enddo
endif
shift_fac = 1.0
if(hammett_flow_shear) shift_fac = 0.5
do iky=1,naky
if(zonal_mode(iky)) cycle
if(shift_state(iky) > shift_fac*shift_times(iky)) then
shift_state(iky) = shift_state(iky) - shift_times(iky)
endif
enddo
shift_state = shift_state + code_dt
if(zonal_mode(1)) shift_state(1) = 0.
if(runtype_option_switch .eq. runtype_multibox) then
do ivmu = vmu_lo%llim_proc, vmu_lo%ulim_proc
do it = 1, ntubes
do iz = -nzgrid, nzgrid
g(:,:,iz,it,ivmu) = g(:,:,iz,it,ivmu)*exp(-code_dt*zi*spread(aky,2,nakx)*v_shift)
enddo
enddo
enddo
endif
deallocate(g0k,g0x)
end subroutine advance_perp_flow_shear
subroutine finish_flow_shear
use fields_arrays, only: shift_state
implicit none
if (allocated(prl_shear)) deallocate (prl_shear)
if (allocated(prl_shear_p)) deallocate (prl_shear_p)
if (allocated(shift_times)) deallocate (shift_times)
if (allocated(shift_state)) deallocate (shift_state)
if (allocated(upwind_advect)) deallocate (upwind_advect)
flow_shear_initialized = .false.
end subroutine finish_flow_shear
end module flow_shear