bluemira.radiation_transport.midplane_temperature_density

1-D radiation model inspired by the PROCESS function “plot_radprofile” in plot_proc.py.

Classes

`MidplaneProfilesParams`	Midplane profiles parameters
`MidplaneProfiles`	midplane profiles

Functions

`midplane_profiles`(→ MidplaneProfiles)	Calculate the core radiation source profiles.
`collect_rho_core_values`(→ numpy.ndarray)	Calculation of core dimensionless radial coordinate rho (between 0 and 1).
`core_electron_density_temperature_profile`(...)	Calculation of electron density and electron temperature,

Module Contents

class bluemira.radiation_transport.midplane_temperature_density.MidplaneProfilesParams

Bases: bluemira.base.parameter_frame.ParameterFrame

Midplane profiles parameters

alpha_n: bluemira.base.parameter_frame.Parameter[float]: Density profile factor

alpha_t: bluemira.base.parameter_frame.Parameter[float]: Temperature profile index

n_e_0: bluemira.base.parameter_frame.Parameter[float]: Electron density on axis

n_e_ped: bluemira.base.parameter_frame.Parameter[float]: Electron density pedestal height

n_e_sep: bluemira.base.parameter_frame.Parameter[float]: Electron density at separatrix

rho_ped_n: bluemira.base.parameter_frame.Parameter[float]: Density pedestal r/a location

rho_ped_t: bluemira.base.parameter_frame.Parameter[float]: Temperature pedestal r/a location

n_points_core_95: bluemira.base.parameter_frame.Parameter[int]: rho discretisation to 95% of core

n_points_core_99: bluemira.base.parameter_frame.Parameter[int]: rho discretisation to 99% of core

n_points_mantle: bluemira.base.parameter_frame.Parameter[int]: rho discretisation to separatrix

t_beta: bluemira.base.parameter_frame.Parameter[float]: Temperature profile index beta

T_e_0: bluemira.base.parameter_frame.Parameter[float]: Electron temperature on axis

T_e_ped: bluemira.base.parameter_frame.Parameter[float]: Electron temperature pedestal height

T_e_sep: bluemira.base.parameter_frame.Parameter[float]: Electron temperature at separatrix

class bluemira.radiation_transport.midplane_temperature_density.MidplaneProfiles

midplane profiles

psi_n: numpy.typing.NDArray[numpy.float64]: squared dimensionless core radius

ne: numpy.typing.NDArray[numpy.float64]: electron densities at the mid-plane. Unit [1/m^3]

te: numpy.typing.NDArray[numpy.float64]: electron temperature at the mid-plane. Unit [keV]

bluemira.radiation_transport.midplane_temperature_density.midplane_profiles(params: bluemira.base.parameter_frame.typed.ParameterFrameLike) → MidplaneProfiles

Calculate the core radiation source profiles.

Temperature and density are assumed to be constant along a single flux tube.

Returns:: Electron density and electron temperature as function of rho, from the magnetic axis to the separatrix along the midplane.
Parameters:: params (bluemira.base.parameter_frame.typed.ParameterFrameLike)
Return type:: MidplaneProfiles

bluemira.radiation_transport.midplane_temperature_density.collect_rho_core_values(rho_ped: numpy.ndarray, n_points_core_95: int, n_points_core_99: int, n_points_mantle: int) → numpy.ndarray

Calculation of core dimensionless radial coordinate rho (between 0 and 1).

Parameters:

rho_ped (numpy.ndarray) – dimensionless pedestal radius. Values between 0 and 1
n_points_core_95 (int) – no of discretisation points to 95% of core
n_points_core_99 (int) – no of discretisation points to 99% of core
n_points_mantle (int) – no of discretisation points to separatrix

Returns:

radial coordinate rho [dimensionless].

Return type:

numpy.ndarray

Notes

The plasma bulk is divided into plasma core and plasma mantle according to rho rho is a nondimensional radial coordinate: rho = r/a (r varies from 0 to a)

bluemira.radiation_transport.midplane_temperature_density.core_electron_density_temperature_profile(params: MidplaneProfilesParams, rho_core: numpy.ndarray, rho_ped: numpy.ndarray) → MidplaneProfiles

Calculation of electron density and electron temperature, as function of rho, from the magnetic axis to the separatrix, along the midplane.

Parameters:

params (MidplaneProfilesParams) – midplane parameters
rho_core (numpy.ndarray) – dimensionless core radius. Values between 0 and 1
rho_ped (numpy.ndarray) – dimensionless pedestal radius. Values between 0 and 1

Returns:

electron density and electron temperature, stored as a MidplaneProfiles object.

Return type:

MidplaneProfiles

Notes

The region that extends through the plasma core until its outer layer is referred as core. The region that extends from the pedestal to the separatrix is referred as pedestal.