The polynomial expansion

Collaboration diagram for The polynomial expansion:

Classes
struct	dg::geo::polynomial::Psip
	\( \psi_p(R,Z) = R_0P_{\psi}\Bigg\{ \sum_{i=0}^{M-1} \sum_{j=0}^{N-1} c_{iN+j} \bar R^i \bar Z^j \Bigg\} \) More...
struct	dg::geo::polynomial::PsipR
struct	dg::geo::polynomial::PsipRR
struct	dg::geo::polynomial::PsipZ
struct	dg::geo::polynomial::PsipZZ
struct	dg::geo::polynomial::PsipRZ
struct	dg::geo::polynomial::Parameters
	Constructs and display geometric parameters for the polynomial fields. More...

Functions
dg::geo::CylindricalFunctorsLvl2	dg::geo::polynomial::createPsip (Parameters gp)
dg::geo::CylindricalFunctorsLvl1	dg::geo::polynomial::createIpol (Parameters gp)
dg::geo::TokamakMagneticField	dg::geo::createPolynomialField (dg::geo::polynomial::Parameters gp)
	Create a Polynomial Magnetic field.

Detailed Description

Function Documentation

createIpol()

dg::geo::CylindricalFunctorsLvl1 dg::geo::polynomial::createIpol ( Parameters gp )

inline

createPolynomialField()

dg::geo::TokamakMagneticField dg::geo::createPolynomialField ( dg::geo::polynomial::Parameters gp )

inline

Create a Polynomial Magnetic field.

\[ \psi_p(R,Z) = R_0P_{\psi}\Bigg\{ \sum_{i=0}^{M-1} \sum_{j=0}^{N-1} c_{iN+j} \bar R^i \bar Z^j \Bigg\} \]

\[ I = P_I \]

with \( \bar R := \frac{ R}{R_0} \) and \(\bar Z := \frac{Z}{R_0}\)

Based on dg::geo::polynomial::Psip(gp) and dg::Constant(gp.pi)

Parameters

gp	Polynomial parameters

Returns

A magnetic field object

createPsip()

dg::geo::CylindricalFunctorsLvl2 dg::geo::polynomial::createPsip ( Parameters gp )

inline