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

Inheritance diagram for dg::geo::DivCurvatureNablaB:

Public Member Functions
	DivCurvatureNablaB (const TokamakMagneticField &mag, int sign)

double	do_compute (double R, double Z) const

Public Member Functions inherited from dg::geo::aCylindricalFunctor< DivCurvatureNablaB >
double	operator() (double R, double Z) const
	`do_compute(R,Z)` More...

double	operator() (double R, double Z, double phi) const
	`do_compute(R,Z)` More...

Detailed Description

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

\( \vec{\hat{\nabla}}\cdot \mathcal{\hat{K}}_{\nabla B} = -\frac{1}{\hat{R} \hat{B}^2 } \partial_{\hat{Z}} \hat{B}\)

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 \( \perp \hat{ e}_\varphi\) )

Constructor & Destructor Documentation

dg::geo::DivCurvatureNablaB::DivCurvatureNablaB	(	const TokamakMagneticField &	mag,
		int	sign
	)

inline

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

inline

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