The solovev expansion

Collaboration diagram for The solovev expansion:

Classes
struct	dg::geo::solovev::Psip
struct	dg::geo::solovev::PsipR
struct	dg::geo::solovev::PsipRR
struct	dg::geo::solovev::PsipZ
struct	dg::geo::solovev::PsipZZ
struct	dg::geo::solovev::PsipRZ
struct	dg::geo::solovev::Ipol
struct	dg::geo::solovev::IpolR
struct	dg::geo::solovev::IpolZ
struct	dg::geo::solovev::Parameters
	Constructs and display geometric parameters for the solovev and taylor fields. More...

Functions
static dg::geo::CylindricalFunctorsLvl2	dg::geo::solovev::createPsip (const Parameters &gp)
static dg::geo::CylindricalFunctorsLvl1	dg::geo::solovev::createIpol (const Parameters &gp, const CylindricalFunctorsLvl1 &psip)
static dg::geo::TokamakMagneticField	dg::geo::createSolovevField (dg::geo::solovev::Parameters gp)
	Create a Solovev Magnetic field. More...
static dg::geo::TokamakMagneticField	dg::geo::createModifiedSolovevField (dg::geo::solovev::Parameters gp, double psi0, double alpha, double sign=-1)
	DEPRECATED Create a modified Solovev Magnetic field. More...

Detailed Description

Function Documentation

createIpol()

static dg::geo::CylindricalFunctorsLvl1 dg::geo::solovev::createIpol ( const Parameters &  gp, const CylindricalFunctorsLvl1 &  psip  )

inlinestatic

createModifiedSolovevField()

static dg::geo::TokamakMagneticField dg::geo::createModifiedSolovevField ( dg::geo::solovev::Parameters  gp, double  psi0, double  alpha, double  sign = -1  )

inlinestatic

DEPRECATED Create a modified Solovev Magnetic field.

Based on dg::geo::mod::Psip(gp) and dg::geo::solovev::Ipol(gp) We modify psi above a certain value to a constant using the dg::IPolynomialHeaviside function (an approximation to the integrated Heaviside function with width alpha), i.e. we replace psi with IPolynomialHeaviside(psi). This subsequently modifies all derivatives of psi and the poloidal current.

Parameters

gp	Solovev parameters
psi0	boundary value where psi is modified to a constant psi0
alpha	radius of the transition region where the modification acts (smaller is quicker)
sign	determines which side of Psi to dampen (negative or positive, forwarded to dg::IPolynomialHeaviside)

Returns

A magnetic field object

createPsip()

static dg::geo::CylindricalFunctorsLvl2 dg::geo::solovev::createPsip ( const Parameters &  gp )

inlinestatic

createSolovevField()

static dg::geo::TokamakMagneticField dg::geo::createSolovevField ( dg::geo::solovev::Parameters  gp )

inlinestatic

Create a Solovev Magnetic field.

Based on dg::geo::solovev::Psip(gp) and dg::geo::solovev::Ipol(gp)

Parameters

gp	Solovev parameters

Returns

A magnetic field object