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Recompute Krook argument after interpolation #183

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Recompute Krook argument after interpolation #183

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9 changes: 8 additions & 1 deletion KIM/src/background_equilibrium/species_mod.f90
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Original file line number Diff line number Diff line change
Expand Up @@ -739,7 +739,9 @@ subroutine write_species_cc_quantities(spec, r_grid_cc)
subroutine interpolate_plasma_backs(plasma_in, grid)

use KIM_kinds_m, only: dp
use constants_m, only: com_unit
use IO_collection_m, only: plot_profile
use setup_m, only: omega

implicit none

Expand Down Expand Up @@ -784,7 +786,6 @@ subroutine interpolate_plasma_backs(plasma_in, grid)
plasma_temp%spec(sp)%omega_c(i) = sum(coef(0,:) * plasma_in%spec(sp)%omega_c(ibeg:iend))
plasma_temp%spec(sp)%lambda_D(i) = sum(coef(0,:) * plasma_in%spec(sp)%lambda_D(ibeg:iend))
plasma_temp%spec(sp)%rho_L(i) = sum(coef(0,:) * plasma_in%spec(sp)%rho_L(ibeg:iend))
plasma_temp%spec(sp)%z0(i) = sum(coef(0,:) * plasma_in%spec(sp)%z0(ibeg:iend))
end do

plasma_temp%B0(i) = sum(coef(0,:) * plasma_in%B0(ibeg:iend))
Expand All @@ -797,6 +798,12 @@ subroutine interpolate_plasma_backs(plasma_in, grid)

end do

do sp = 0, plasma_temp%n_species-1
plasma_temp%spec(sp)%z0 = -(plasma_temp%om_E - omega &
- com_unit*plasma_temp%spec(sp)%nu) &
/(abs(plasma_temp%kp)*sqrt(2.0d0)*plasma_temp%spec(sp)%vT)
end do

plasma_in = plasma_temp

deallocate(plasma_temp)
Expand Down
73 changes: 68 additions & 5 deletions KIM/tests/test_periodized_background_feed.f90
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Expand Up @@ -5,11 +5,13 @@ program test_periodized_background_feed
! profile rather than periodizing the physical gradient.

use KIM_kinds_m, only: dp
use constants_m, only: e_charge, ev
use species_m, only: plasma
use constants_m, only: e_charge, ev, com_unit
use species_m, only: plasma, plasma_t, init_electron_species, &
interpolate_plasma_backs
use kernels_m, only: kernel_rho_phi_of_kr_krp_rg
use rt_fourier_periodic_m, only: build_periodized_background
use kernel_test_background_m, only: setup_uniform_background, n0, T0, b0
use kernel_test_background_m, only: setup_uniform_background, n0, T0, b0, &
ks0, nu0
use config_m, only: number_of_ion_species, rescale_density, &
ion_flr_scale_factor, collision_frequency_scale
use setup_m, only: collisions_off, omega
Expand All @@ -27,7 +29,7 @@ program test_periodized_background_feed

real(dp) :: r, physical, got, centered, physical_slope, deviation
real(dp) :: lee, lei, expected_nue
complex(dp) :: kernel_a, kernel_b
complex(dp) :: kernel_a, kernel_b, expected_z0
integer :: i, j, sp

number_of_ion_species = 1
Expand All @@ -37,6 +39,8 @@ program test_periodized_background_feed
collisions_off = .false.
omega = 0.0d0

call check_recomputed_z0

call setup_uniform_background()
allocate (plasma%Er(plasma%grid_size), plasma%B0(plasma%grid_size), &
plasma%q(plasma%grid_size))
Expand All @@ -61,7 +65,15 @@ program test_periodized_background_feed
+ 7.7d-6*ni*lei/te**1.5d0)
end associate
call require_close("collision-frequency scale reaches the background", &
plasma%spec(0)%nu(j), expected_nue, 1.0d-12)
plasma%spec(0)%nu(j), expected_nue, 1.0d-12)

j = point_index(r_res - 2.0d0)
expected_z0 = -(plasma%om_E(j) - omega &
- com_unit*plasma%spec(0)%nu(j)) &
/(abs(plasma%kp(j))*sqrt(2.0d0)*plasma%spec(0)%vT(j))
if (abs(plasma%spec(0)%z0(j) - expected_z0) &
> 1.0d-12*max(abs(expected_z0), 1.0d0)) &
error stop 'interpolated z0 violates its defining formula'

! Inside the resonant layer the linear physical profile survives
! exactly (four-point Lagrange interpolation is exact on it).
Expand Down Expand Up @@ -120,6 +132,57 @@ program test_periodized_background_feed

contains

subroutine check_recomputed_z0

type(plasma_t) :: coarse
real(dp) :: target_grid(3)
complex(dp) :: want
integer :: k

coarse%n_species = 1
coarse%grid_size = 4
allocate (coarse%spec(0:0))
call init_electron_species(coarse%spec(0))
allocate (coarse%r_grid(4), coarse%ks(4), coarse%kp(4), &
coarse%om_E(4), coarse%B0(4), coarse%q(4), &
coarse%dqdr(4), coarse%Er(4))
allocate (coarse%spec(0)%n(4), coarse%spec(0)%dndr(4), &
coarse%spec(0)%T(4), coarse%spec(0)%dTdr(4), &
coarse%spec(0)%nu(4), coarse%spec(0)%vT(4), &
coarse%spec(0)%omega_c(4), coarse%spec(0)%lambda_D(4), &
coarse%spec(0)%rho_L(4), coarse%spec(0)%z0(4))
coarse%r_grid = [10.0d0, 20.0d0, 30.0d0, 40.0d0]
coarse%kp = [3.0d-3, 1.0d-3, -1.0d-3, -3.0d-3]
coarse%om_E = [9.3d4, 8.0d4, 7.0d4, 6.0d4]
coarse%ks = ks0
coarse%B0 = b0
coarse%q = 1.5d0
coarse%dqdr = 0.0d0
coarse%Er = 0.0d0
coarse%spec(0)%n = n0
coarse%spec(0)%dndr = 0.0d0
coarse%spec(0)%T = T0
coarse%spec(0)%dTdr = 0.0d0
coarse%spec(0)%nu = nu0
coarse%spec(0)%vT = 2.0d9
coarse%spec(0)%omega_c = 1.0d8
coarse%spec(0)%lambda_D = 1.0d-2
coarse%spec(0)%rho_L = 1.0d-1
coarse%spec(0)%z0 = -(coarse%om_E - omega - com_unit*nu0) &
/(abs(coarse%kp)*sqrt(2.0d0)*coarse%spec(0)%vT)

target_grid = [15.0d0, 25.0d0, 35.0d0]
call interpolate_plasma_backs(coarse, target_grid)
do k = 1, size(target_grid)
want = -(coarse%om_E(k) - omega - com_unit*coarse%spec(0)%nu(k)) &
/(abs(coarse%kp(k))*sqrt(2.0d0)*coarse%spec(0)%vT(k))
if (abs(coarse%spec(0)%z0(k) - want) &
> 1.0d-12*max(abs(want), 1.0d0)) &
error stop 'interpolated z0 violates its defining formula'
end do

end subroutine check_recomputed_z0

integer function point_index(r_target)

implicit none
Expand Down