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PB3D
[2.45]
Ideal linear high-n MHD stability in 3-D
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Type for grids. More...
Public Member Functions | |
| procedure | init => init_grid |
| initialize More... | |
| procedure | copy => copy_grid |
| copy More... | |
| procedure | dealloc => dealloc_grid |
| deallocate More... | |
Public Attributes | |
| integer, dimension(3) | n |
| tot nr. of points More... | |
| integer | loc_n_r |
| local nr. of normal points More... | |
| integer | i_min |
| min. normal index of this process in full arrays More... | |
| integer | i_max |
| max. normal index of this process in full arrays More... | |
| logical | divided |
| whether the grid is split up among the processes More... | |
| real(dp), dimension(:), pointer | r_e => null() |
| E(quilibrium) coord. values at n points. More... | |
| real(dp), dimension(:), pointer | r_f => null() |
| F(lux) coord. values at n points. More... | |
| real(dp), dimension(:), pointer | loc_r_e => null() |
| E(quilibrium) coord. values at n points. More... | |
| real(dp), dimension(:), pointer | loc_r_f => null() |
| F(lux) coord. values at n points. More... | |
| real(dp), dimension(:,:,:), pointer | theta_e => null() |
| E(quilibrium) coord. values of first angle at n points in 3-D. More... | |
| real(dp), dimension(:,:,:), pointer | theta_f => null() |
| F(lux) coord. values of first angle at n points in 3-D. More... | |
| real(dp), dimension(:,:,:), pointer | zeta_e => null() |
| E(quilibrium) coord. values of second angle at n points in 3-D. More... | |
| real(dp), dimension(:,:,:), pointer | zeta_f => null() |
| F(lux) coord. values of second angle at n points in 3-D. More... | |
| real(dp), dimension(:,:,:,:,:), allocatable | trigon_factors |
| trigonometric factor cosine for the inverse fourier transf. More... | |
| real(dp) | estim_mem_usage |
| estimated memory usage More... | |
Type for grids.
The grids are saved in the following format: (angle_1,angle_2,r), where angle_1 and angle_2 can be any angle that completely describe a flux surface.
For example, they can refer to a grid of \(\theta\) and \(\zeta\) values, but they can also refer to (Modified) flux coordinates with a parallel angle and a field line coordinate ( \(\alpha\)).
For field-aligned grids, angle_1 is generally chosen equal to the parallel coordinate in the Flux coordinate system, and angle_2 equal to the field line label (so the second dimension of the matrices is then chosen to be of size 1 for the calculations on a single field line).
At the same time, the parallel coordinate, in which integrations will have to be done, ocupies the first index. This is good for numerical efficiency.
For specific equilibrium grids, such as the case for HELENA equilibria, angle_1 corresponds to \(\theta\) and angle_2 to the symmetry angle \(\zeta\).
It is important that this order of the coordinates in space is consistent among all the variables.
Definition at line 59 of file grid_vars.f90.
| procedure grid_vars::grid_type::copy |
copy
Definition at line 81 of file grid_vars.f90.
| procedure grid_vars::grid_type::dealloc |
deallocate
Definition at line 83 of file grid_vars.f90.
| procedure grid_vars::grid_type::init |
initialize
Definition at line 79 of file grid_vars.f90.
| logical grid_vars::grid_type::divided |
whether the grid is split up among the processes
Definition at line 64 of file grid_vars.f90.
| real(dp) grid_vars::grid_type::estim_mem_usage |
| integer grid_vars::grid_type::i_max |
max. normal index of this process in full arrays
Definition at line 63 of file grid_vars.f90.
| integer grid_vars::grid_type::i_min |
min. normal index of this process in full arrays
Definition at line 62 of file grid_vars.f90.
| integer grid_vars::grid_type::loc_n_r |
local nr. of normal points
Definition at line 61 of file grid_vars.f90.
| real(dp), dimension(:), pointer grid_vars::grid_type::loc_r_e => null() |
E(quilibrium) coord. values at n points.
Definition at line 67 of file grid_vars.f90.
| real(dp), dimension(:), pointer grid_vars::grid_type::loc_r_f => null() |
F(lux) coord. values at n points.
Definition at line 68 of file grid_vars.f90.
| integer, dimension(3) grid_vars::grid_type::n |
tot nr. of points
Definition at line 60 of file grid_vars.f90.
| real(dp), dimension(:), pointer grid_vars::grid_type::r_e => null() |
E(quilibrium) coord. values at n points.
Definition at line 65 of file grid_vars.f90.
| real(dp), dimension(:), pointer grid_vars::grid_type::r_f => null() |
F(lux) coord. values at n points.
Definition at line 66 of file grid_vars.f90.
| real(dp), dimension(:,:,:), pointer grid_vars::grid_type::theta_e => null() |
E(quilibrium) coord. values of first angle at n points in 3-D.
Definition at line 69 of file grid_vars.f90.
| real(dp), dimension(:,:,:), pointer grid_vars::grid_type::theta_f => null() |
F(lux) coord. values of first angle at n points in 3-D.
Definition at line 70 of file grid_vars.f90.
| real(dp), dimension(:,:,:,:,:), allocatable grid_vars::grid_type::trigon_factors |
trigonometric factor cosine for the inverse fourier transf.
Definition at line 73 of file grid_vars.f90.
| real(dp), dimension(:,:,:), pointer grid_vars::grid_type::zeta_e => null() |
E(quilibrium) coord. values of second angle at n points in 3-D.
Definition at line 71 of file grid_vars.f90.
| real(dp), dimension(:,:,:), pointer grid_vars::grid_type::zeta_f => null() |
F(lux) coord. values of second angle at n points in 3-D.
Definition at line 72 of file grid_vars.f90.