dg::geo::ToroidalDivCurvatureKappa Struct Reference

Toroidal Approximate \( \vec{\nabla}\cdot \mathcal{K}_{\vec{\kappa}} \). More...

Inheritance diagram for dg::geo::ToroidalDivCurvatureKappa:

Public Member Functions
	ToroidalDivCurvatureKappa (const TokamakMagneticField &mag)
double	do_compute (double R, double Z) const
Public Member Functions inherited from dg::geo::aCylindricalFunctor< ToroidalDivCurvatureKappa >
double	operator() (double R, double Z) const
	do_compute(R,Z)
double	operator() (double R, double Z, double) const
	do_compute(R,Z)

Detailed Description

Toroidal Approximate \( \vec{\nabla}\cdot \mathcal{K}_{\vec{\kappa}} \).

\( \vec{\hat{\nabla}}\cdot \mathcal{\hat{K}}_{\vec{\kappa}} = \frac{1}{R_0 I^2} \partial_{Z} I\)

Note

We implicitly assume the toroidal field line approximation, i.e. all curvature and other perpendicular terms assume that the perpendicular direction lies within the R-Z planes of a cylindrical grid (The plane \( \perp \hat{ e}_\varphi\) ). Additionally, in this version the magnetic field strength is simply the toroidal component of the magnetic field.

Constructor & Destructor Documentation

ToroidalDivCurvatureKappa()

dg::geo::ToroidalDivCurvatureKappa::ToroidalDivCurvatureKappa ( const TokamakMagneticField & mag )

inline

Member Function Documentation

do_compute()

double dg::geo::ToroidalDivCurvatureKappa::do_compute ( double R, double Z ) const

inline

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The documentation for this struct was generated from the following file:

• magnetic_field.h