Module that defines the variables used to set up a grid for self-force calculations. This also includes an initialization routine.
Type | Visibility | Attributes | Name | Initial | |||
---|---|---|---|---|---|---|---|
real(kind=wp), | public | :: | rho_min | The minimal coordinate point on the grid. With hyperboloidal coordinates this is the location of the horizon. Gets initialized to the value of the parameter Sminus. |
|||
real(kind=wp), | public | :: | rho_max | The maximal coordinate point on the grid. With hyperboloidal coordinates this is the location of scri+. Gets initialized so that the particle location is the center of the grid. |
|||
real(kind=wp), | public | :: | rho_particle | The coordinate location of the center of the grid. When a particle is used it gets initialized to the tortoise coordinate location of the midpoint of the orbit. When a particle is not used it gets initialized to the value of the parameter r_center converted to tortoise coordinates. |
|||
real(kind=wp), | public | :: | Tminus | The tortoise coordinate location of the inner boundary of the region where time dependent coordinates are used. |
|||
real(kind=wp), | public | :: | Tplus | The tortoise coordinate location of the outer boundary of the region where time dependent coordinates are used. |
|||
real(kind=wp), | public | :: | delta_rho_min | The smalles coordinate distance between any two DG nodes on the grid. |
|||
type(rgf), | public | :: | rho | A real grid function containing the computational coordinate, . |
|||
type(rgf), | public | :: | drhodr | A real grid function containing where is the node coordinates in the reference element (). |
|||
type(rgf), | public | :: | drdrho | A real grid function containing . |
|||
integer(kind=ip), | public, | dimension(2) | :: | Tminus_ind | A size 2 integer array containing the element indices of the two elements that border the lower boundery of the time dependent coordinate region. |
||
integer(kind=ip), | public, | dimension(2) | :: | Tplus_ind | A size 2 integer array containing the element indices of the two elements that border the upper boundery of the time dependent coordinate region. |
||
integer(kind=ip), | public, | dimension(2) | :: | particle_element | A size 2 integer array containing the element indices of the two elements that has the particle on their boundary. |
||
integer(kind=ip), | public, | dimension(2) | :: | particle_node | A size 2 integer array contining the node indeces of the particle location in the two elements that contain the particle. |
The routine that initializes the variables describing the grid.
Type | Intent | Optional | Attributes | Name | ||
---|---|---|---|---|---|---|
type(ref_element), | intent(in) | :: | relem | The reference element of the DG elements that is the building block for grid functions. |