Struphy equilibrium

ScrewPinch

Straight tokamak (screw pinch) MHD equilibrium for a cylindrical geometry of radius mathematical formulation and length mathematical formulation. The profiles in cylindrical coordinates mathematical formulation with transformation formulae…

← All equilibria

Coordinate slices

Pressure and density sampled from the generated equilibrium data. Heatmaps use the perceptually uniform Viridis palette.

XY plane at 0

Pressurex–y · -1.20e-2 to 4.62e-2

Densityx–y · 2.50e-1 to 1.00e+0

XZ plane at 0

Pressurex–z · 1.00e-8 to 4.64e-2

Densityx–z · 2.50e-1 to 9.98e-1

YZ plane at 0

Pressurey–z · 1.00e-8 to 4.64e-2

Densityy–z · 2.50e-1 to 9.98e-1

Coordinate-line profiles

X-line · pressure / density

Y-line · pressure / density

Z-line · pressure / density

Parameters

Parameter	Value	Description
`a`	`1`	"Minor" radius (radius of cylinder, default: 1.).
`R0`	`3`	"Major" radius (must be compatible with :math:`L_z=2\pi R_0`, default: 5.).
`B0`	`1`	z-component of magnetic field (constant) (default: 1.).
`q0`	`1.05`	Safety factor at r=0 (use the string "inf" for infinity, default: 1.05).
`q1`	`1.8`	Safety factor at r=a (use the string "inf" for infinity, default: 1.80).
`n1`	`2`	1st shape factor for ion number density profile (default: 0.).
`n2`	`2`	2nd shape factor for ion number density profile (default: 0.).
`na`	`0.25`	Ion nnumber density at r=a (default: 1.).
`p0`	`1e-8`	Pressure offset to avoid numerical issues (default: 1e-8)
`beta`	`0.1`	Plasma beta for :math:`q_0=q_1=\infty` (ratio of kinematic pressure to B^2/2, default: 0.1).