dg::geo::CylindricalSymmTensorLvl1 Struct Reference

Public Member Functions
	CylindricalSymmTensorLvl1 ()
	Initialize with the identity tensor.
	CylindricalSymmTensorLvl1 (CylindricalFunctor chi_xx, CylindricalFunctor chi_xy, CylindricalFunctor chi_yy, CylindricalFunctor divChiX, CylindricalFunctor divChiY)
	Copy given functors.
void	reset (CylindricalFunctor chi_xx, CylindricalFunctor chi_xy, CylindricalFunctor chi_yy, CylindricalFunctor divChiX, CylindricalFunctor divChiY)
	replace with given functors
const CylindricalFunctor &	xx () const
	xy component \( \chi^{xx}\)
const CylindricalFunctor &	xy () const
	xy component \( \chi^{xy}\)
const CylindricalFunctor &	yy () const
	yy component \( \chi^{yy}\)
const CylindricalFunctor &	divX () const
	\( \partial_x \chi^{xx} + \partial_y\chi^{yx}\) is the x-component of the divergence of the tensor \( \chi\)
const CylindricalFunctor &	divY () const
	\( \partial_x \chi^{xy} + \partial_y\chi^{yy}\) is the y-component of the divergence of the tensor \( \chi \)

Detailed Description

A symmetric 2d tensor field and its divergence

        unsigned nGrid = js["grid"]["generator"]["initial"]["n"].asUInt();
        unsigned NxGrid = js["grid"]["generator"]["initial"]["Nx"].asUInt();
        unsigned NyGrid = js["grid"]["generator"]["initial"]["Ny"].asUInt();
        double epsHector = js["grid"]["generator"]["eps"].asDouble();
        if( mode == 0)
        {
            std::cout << " ... of type conformal ...\n";
            generator = std::make_unique< dg::geo::Hector<dg::IDMatrix,
                      dg::DMatrix, dg::DVec>>( mag.get_psip(), psi_0, psi_1,
                              mag.R0(), 0., nGrid, NxGrid, NyGrid, epsHector,
                              true);
        }
        else if( mode == 1)
        {
            std::cout << " ... of type adaption ...\n";
            dg::geo::CylindricalFunctorsLvl1 nc =
                dg::geo::make_NablaPsiInvCollective( mag.get_psip());
            generator = std::make_unique< dg::geo::Hector<dg::IDMatrix,
                      dg::DMatrix, dg::DVec>>( mag.get_psip(), nc, psi_0,
                              psi_1, mag.R0(), 0., nGrid, NxGrid, NyGrid,
                              epsHector, true);
        }
        else
        {
            std::cout << " ... of type monitor metric ...\n";
            dg::geo::CylindricalSymmTensorLvl1 lc =
                dg::geo::make_LiseikinCollective( mag.get_psip(), 0.1, 0.001);
            generator = std::make_unique< dg::geo::Hector<dg::IDMatrix,
                      dg::DMatrix, dg::DVec>>( mag.get_psip(), lc, psi_0,
                              psi_1, mag.R0(), 0., nGrid, NxGrid, NyGrid,
                              epsHector, true);
        }

Constructor & Destructor Documentation

CylindricalSymmTensorLvl1() [1/2]

dg::geo::CylindricalSymmTensorLvl1::CylindricalSymmTensorLvl1 ( )

inline

Initialize with the identity tensor.

CylindricalSymmTensorLvl1() [2/2]

dg::geo::CylindricalSymmTensorLvl1::CylindricalSymmTensorLvl1 ( CylindricalFunctor chi_xx, CylindricalFunctor chi_xy, CylindricalFunctor chi_yy, CylindricalFunctor divChiX, CylindricalFunctor divChiY )

inline

Copy given functors.

let's assume the tensor is called \( \chi \) (chi)

Parameters

chi_xx	contravariant xx component \( \chi^{xx}\)
chi_xy	contravariant xy component \( \chi^{xy}\)
chi_yy	contravariant yy component \( \chi^{yy}\)
divChiX	\( \partial_x \chi^{xx} + \partial_y\chi^{yx}\) is the x-component of the divergence of the tensor \( \chi\)
divChiY	\( \partial_x \chi^{xy} + \partial_y\chi^{yy}\) is the y-component of the divergence of the tensor \( \chi \)

Member Function Documentation

divX()

const CylindricalFunctor & dg::geo::CylindricalSymmTensorLvl1::divX ( ) const

inline

\( \partial_x \chi^{xx} + \partial_y\chi^{yx}\) is the x-component of the divergence of the tensor \( \chi\)

divY()

const CylindricalFunctor & dg::geo::CylindricalSymmTensorLvl1::divY ( ) const

inline

\( \partial_x \chi^{xy} + \partial_y\chi^{yy}\) is the y-component of the divergence of the tensor \( \chi \)

reset()

void dg::geo::CylindricalSymmTensorLvl1::reset ( CylindricalFunctor chi_xx, CylindricalFunctor chi_xy, CylindricalFunctor chi_yy, CylindricalFunctor divChiX, CylindricalFunctor divChiY )

inline

replace with given functors

xx()

const CylindricalFunctor & dg::geo::CylindricalSymmTensorLvl1::xx ( ) const

inline

xy component \( \chi^{xx}\)

xy()

const CylindricalFunctor & dg::geo::CylindricalSymmTensorLvl1::xy ( ) const

inline

xy component \( \chi^{xy}\)

yy()

const CylindricalFunctor & dg::geo::CylindricalSymmTensorLvl1::yy ( ) const

inline

yy component \( \chi^{yy}\)

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

• fluxfunctions.h