Geometry Objects¶

`dexter.GeometryObject: TypeAlias = LarGeometry | NcGeometry` `module-attribute` ¶

Available Geometry objects.

Analytical Large Aspect Ratio Geometry of a circular device.

Parameters:

baxis (float) –

The magnetic field strength on the axis $B_0$ in $[T]$.
raxis (float) –

The horizontal position of the magnetic axis $R_0$ in $[m]$.
rlast (float) –

The $r$ coordinate's value at the last closed flux surface in $[m]$.

Attributes:

psit_last (MagneticFlux) –

The value of the toroidal flux at the last closed flux surface, in Normalized units.

Notes

No $\psi$ bounds checks are performed in evaluations.
Evaluations methods that calculate or accept $\psi_p$ as a parameter always raise an Exception, since $\psi_p$ is defined through the q-factor.
The Jacobian is not available, since it is defined through $q$, $g$, $I$ and $B$.
In LAR equilibria, it holds that $R_0 \equiv R_{geo}$.

Example

>>> geometry = dex.LarGeometry(
...     baxis=2, # Tesla
...     raxis=1.75, # meters
...     rlast=0.5, # meters
... )

A LAR configuration's geometry is described by the following formulas:

$$ r(\psi_t) = \sqrt{2\psi_t} $$

$$ \psi_t(r) = r^2/2 $$

$$ R(\psi_t, \theta) = R_{geo} + R_{geo}\sqrt{2\psi_t}\cos\theta $$

$$ Z(\psi_t, \theta) = R_{geo}\sqrt{2\psi_t}\sin\theta $$

Geometry of a realistic configuration.

Stores fluxes, angles and lab variables’ data, and provides interpolation methods between them.

Parameters:

path (str) –

The path to the NetCDF file.
interp1d_type (Interpolation1dType) –

The 1D interpolation type for the 1D quantities.
interp2d_type (Interpolation2dType) –

The 2D interpolation type for the 2D quantities.

Attributes:

path (str) –

The path to the netCDF file.
netcdf_version (NetCDFVersion) –

The netCDF file's version (SemVer).
interp1d_type (Interpolation1dType) –

The 1D interpolation type.
interp2d_type (Interpolation2dType) –

The 2D interpolation type.
shape (ArrayShape) –

The $(\psi,\theta)$ shape of the 2D arrays.
psit_last (MagneticFlux | None) –

The value of the last closed toroidal flux $\psi_{t,LCFS}$.
psip_last (MagneticFlux | None) –

The value of the last closed poloidal flux $\psi_{p,LCFS}$.
psit_array (Array1 | None) –

The toroidal flux' values.
psip_array (Array1 | None) –

The poloidal flux' values.
theta_array (Array1) –

The poloidal angle $\theta$ values.
r_array (Array1) –

The radial coordinate $r$ values, in $[m]$.
rlab_array (Array2) –

The $R$ values, in $[m]$.
zlab_array (Array2) –

The $Z$ values, in $[m]$.
jacobian_array (Array2 | None) –

The Jacobian $J$ values, in $[m]$.

Example

>>> geometry = dex.NcGeometry(path, "Cubic", "Bicubic")