dg::geo::SeparatrixOrthogonal Struct Reference

Choose points on separatrix and construct grid from there. More...

Inheritance diagram for dg::geo::SeparatrixOrthogonal:

Public Member Functions
	SeparatrixOrthogonal (const CylindricalFunctorsLvl2 &psi, const CylindricalSymmTensorLvl1 &chi, double psi_0, double xX, double yX, double x0, double y0, int firstline, bool verbose=false)
	Construct. More...
virtual SeparatrixOrthogonal *	clone () const override final
	Abstract clone method that returns a copy on the heap. More...
Public Member Functions inherited from dg::geo::aRealGeneratorX2d< real_type >
real_type	zeta0 (real_type fx) const
real_type	zeta1 (real_type fx) const
real_type	eta0 (real_type fy) const
real_type	eta1 (real_type fy) const
bool	isOrthogonal () const
	sparsity pattern for metric More...
void	generate (const thrust::host_vector< real_type > &zeta1d, const thrust::host_vector< real_type > &eta1d, unsigned nodeX0, unsigned nodeX1, thrust::host_vector< real_type > &x, thrust::host_vector< real_type > &y, thrust::host_vector< real_type > &zetaX, thrust::host_vector< real_type > &zetaY, thrust::host_vector< real_type > &etaX, thrust::host_vector< real_type > &etaY) const
	Generate grid points and elements of the Jacobian. More...
virtual aRealGeneratorX2d *	clone () const =0
	Abstract clone method that returns a copy on the heap. More...
virtual	~aRealGeneratorX2d ()

Additional Inherited Members
Protected Member Functions inherited from dg::geo::aRealGeneratorX2d< real_type >
	aRealGeneratorX2d ()
	aRealGeneratorX2d (const aRealGeneratorX2d &src)
aRealGeneratorX2d &	operator= (const aRealGeneratorX2d &src)

Detailed Description

Choose points on separatrix and construct grid from there.

This is the algorithm described in: "M. Wiesenberger, M. Held, L. Einkemmer, A. Kendl Streamline integration as a method for structured grid generation in X-point geometry Journal of Computational Physics 373, 370-384 (2018)"

Note

The resulting coordinate transformation for \( \zeta\) will by linear in \( \psi\)

Attention

Assumes that the separatrix is given by \( \psi = 0\). If this is not the case, then use the normalize_solovev_t program to change the parameters. Further, it is assumed that closed flux surfaces inside of the separatrix exist.

Constructor & Destructor Documentation

SeparatrixOrthogonal()

dg::geo::SeparatrixOrthogonal::SeparatrixOrthogonal ( const CylindricalFunctorsLvl2 &  psi, const CylindricalSymmTensorLvl1 &  chi, double  psi_0, double  xX, double  yX, double  x0, double  y0, int  firstline, bool  verbose = false  )

inline

Construct.

Parameters

psi	the flux function, the separatrix must be at \( \psi = 0\)
chi	the monitor tensor, see dg::geo::make_Xconst_monitor or dg::geo::make_Xbump_monitor
psi_0	The left boundary of the grid this generator will generate. Must be a closed flux surface.
xX	the X-point x - coordinate
yX	the X-point y - coordinate
x0	a point in the inside of the separatrix (can be the O-point, defines the angle for initial separatrix integration)
y0	a point in the inside of the separatrix (can be the O-point, defines the angle for initial separatrix integration)
firstline	=0 means conformal, =1 means equalarc discretization of the separatrix
verbose	if true the integrators will write additional information to std::cout

Member Function Documentation

clone()

virtual SeparatrixOrthogonal * dg::geo::SeparatrixOrthogonal::clone ( ) const

inlinefinaloverridevirtual

Abstract clone method that returns a copy on the heap.

Returns

a copy of *this on the heap

Implements dg::geo::aRealGeneratorX2d< real_type >.

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

• separatrix_orthogonal.h