#include <FFTPoissonSolver.h>

Inheritance diagram for FFTPoissonSolver:

Collaboration diagram for FFTPoissonSolver:

Public Types
typedef FFT< RCTransform, 3, double >	FFT_t

Public Member Functions
	FFTPoissonSolver (PartBunch &bunch, std::string greensFuntion)

	FFTPoissonSolver (Mesh_t mesh, FieldLayout_t fl, std::string greensFunction, std::string bcz)

	~FFTPoissonSolver ()

void	computePotential (Field_t &rho, Vector_t hr, double zshift)

void	computePotential (Field_t &rho, Vector_t hr)

void	greensFunction ()

void	integratedGreensFunction ()
	compute the integrated Green function as described in Three-dimensional quasistatic model for high brightness beam dynamics simulation by Qiang et al. More...

void	shiftedIntGreensFunction (double zshift)
	compute the shifted integrated Green function as described in Three-dimensional quasistatic model for high brightness beam dynamics simulation by Qiang et al. More...

double	getXRangeMin (unsigned short)

double	getXRangeMax (unsigned short)

double	getYRangeMin (unsigned short)

double	getYRangeMax (unsigned short)

double	getZRangeMin (unsigned short)

double	getZRangeMax (unsigned short)

void	test (PartBunchBase< double, 3 > *)

Inform &	print (Inform &os) const

Public Member Functions inherited from PoissonSolver
virtual void	solve (AmrScalarFieldContainer_t &, AmrScalarFieldContainer_t &, AmrVectorFieldContainer_t &, unsigned short, unsigned short, bool=true)

virtual void	hasToRegrid ()

virtual	~PoissonSolver ()

virtual void	resizeMesh (Vector_t &, Vector_t &, const Vector_t &, const Vector_t &, double)

virtual double	getinteractionRadius () const

virtual void	calculatePairForces (PartBunchBase< double, 3 > *, double)

Private Member Functions
void	initializeFields ()

void	mirrorRhoField ()

void	mirrorRhoField (Field_t &ggrn2)

Private Attributes
Field_t	rho2_m

Field_t	greentr_m

CxField_t	rho2tr_m

CxField_t	imgrho2tr_m

CxField_t	grntr_m

IField_t	grnIField_m [3]

std::unique_ptr< FFT_t >	fft_m

Mesh_t *	mesh_m

FieldLayout_t *	layout_m

std::unique_ptr< Mesh_t >	mesh2_m

std::unique_ptr< FieldLayout_t >	layout2_m

std::unique_ptr< Mesh_t >	mesh3_m

std::unique_ptr< FieldLayout_t >	layout3_m

std::unique_ptr< Mesh_t >	mesh4_m

std::unique_ptr< FieldLayout_t >	layout4_m

Field_t	tmpgreen_m

NDIndex< 3 >	domain_m

NDIndex< 3 >	domain2_m

NDIndex< 3 >	domain3_m

NDIndex< 3 >	domain4_m

NDIndex< 3 >	domainFFTConstruct_m

Vector_t	hr_m

Vektor< int, 3 >	nr_m

BConds< double, 3, Mesh_t, Center_t >	bc_m
	for defining the boundary conditions More...

BConds< Vector_t, 3, Mesh_t, Center_t >	vbc_m

bool	bcz_m

bool	integratedGreens_m

IpplTimings::TimerRef	GreensFunctionTimer_m

IpplTimings::TimerRef	ComputePotential_m

Additional Inherited Members
Protected Types inherited from PoissonSolver
typedef Field< int, 3, Mesh_t, Center_t >	IField_t

typedef Field< std::complex < double >, 3, Mesh_t, Center_t >	CxField_t

Detailed Description

Definition at line 41 of file FFTPoissonSolver.h.

Member Typedef Documentation

typedef FFT<RCTransform, 3, double> FFTPoissonSolver::FFT_t

Definition at line 43 of file FFTPoissonSolver.h.

Constructor & Destructor Documentation

FFTPoissonSolver::FFTPoissonSolver	(	PartBunch &	bunch,
		std::string	greensFuntion
	)

Definition at line 70 of file FFTPoissonSolver.cpp.

References ComputePotential_m, IpplTimings::getTimer(), GreensFunctionTimer_m, initializeFields(), and integratedGreens_m.

Here is the call graph for this function:

FFTPoissonSolver::FFTPoissonSolver	(	Mesh_t *	mesh,
		FieldLayout_t *	fl,
		std::string	greensFunction,
		std::string	bcz
	)

Definition at line 50 of file FFTPoissonSolver.cpp.

References bcz_m, ComputePotential_m, IpplTimings::getTimer(), GreensFunctionTimer_m, initializeFields(), and integratedGreens_m.

Here is the call graph for this function:

FFTPoissonSolver::~FFTPoissonSolver ( )

Definition at line 90 of file FFTPoissonSolver.cpp.

Member Function Documentation

void FFTPoissonSolver::computePotential	(	Field_t &	rho,
		Vector_t	hr,
		double	zshift
	)

virtual

Implements PoissonSolver.

Definition at line 212 of file FFTPoissonSolver.cpp.

References domain_m, fft_m, GreensFunctionTimer_m, grntr_m, hr_m, imgrho2tr_m, nr_m, rho2_m, rho2tr_m, shiftedIntGreensFunction(), IpplTimings::startTimer(), and IpplTimings::stopTimer().

Here is the call graph for this function:

void FFTPoissonSolver::computePotential	(	Field_t &	rho,
		Vector_t	hr
	)

virtual

Implements PoissonSolver.

Definition at line 260 of file FFTPoissonSolver.cpp.

References ComputePotential_m, domain_m, fft_m, greensFunction(), GreensFunctionTimer_m, grntr_m, hr_m, integratedGreens_m, integratedGreensFunction(), rho2_m, rho2tr_m, IpplTimings::startTimer(), and IpplTimings::stopTimer().

Here is the call graph for this function:

double FFTPoissonSolver::getXRangeMax ( unsigned short )

inlinevirtual

Implements PoissonSolver.

Definition at line 72 of file FFTPoissonSolver.h.

double FFTPoissonSolver::getXRangeMin ( unsigned short )

inlinevirtual

Implements PoissonSolver.

Definition at line 71 of file FFTPoissonSolver.h.

double FFTPoissonSolver::getYRangeMax ( unsigned short )

inlinevirtual

Implements PoissonSolver.

Definition at line 74 of file FFTPoissonSolver.h.

double FFTPoissonSolver::getYRangeMin ( unsigned short )

inlinevirtual

Implements PoissonSolver.

Definition at line 73 of file FFTPoissonSolver.h.

double FFTPoissonSolver::getZRangeMax ( unsigned short )

inlinevirtual

Implements PoissonSolver.

Definition at line 76 of file FFTPoissonSolver.h.

double FFTPoissonSolver::getZRangeMin ( unsigned short )

inlinevirtual

Implements PoissonSolver.

Definition at line 75 of file FFTPoissonSolver.h.

void FFTPoissonSolver::greensFunction ( )

Definition at line 305 of file FFTPoissonSolver.cpp.

References fft_m, grnIField_m, grntr_m, hr_m, and rho2_m.

Referenced by computePotential().

void FFTPoissonSolver::initializeFields ( )

private

Definition at line 92 of file FFTPoissonSolver.cpp.

References bc_m, bcz_m, domain2_m, domain3_m, domain4_m, domain_m, domainFFTConstruct_m, fft_m, UniformCartesian< D, T >::get_meshSpacing(), FieldLayout< Dim >::getDomain(), FieldLayout< Dim >::getRequestedDistribution(), greentr_m, grnIField_m, grntr_m, hr_m, imgrho2tr_m, Field< T, Dim, Mesh, Centering >::initialize(), layout2_m, layout3_m, layout4_m, layout_m, cmp_diff::lt(), mesh2_m, mesh3_m, mesh4_m, mesh_m, nr_m, rho2_m, rho2tr_m, tmpgreen_m, vbc_m, and where().

Referenced by FFTPoissonSolver().

Here is the call graph for this function:

void FFTPoissonSolver::integratedGreensFunction ( )

compute the integrated Green function as described in Three-dimensional quasistatic model for high brightness beam dynamics simulation by Qiang et al.

If the beam has a longitudinal size >> transverse size the direct Green function at each mesh point is not efficient (needs a lot of mesh points along the transverse size to get a good resolution)

If the charge density function is uniform within each cell the following Green's function can be defined:

\[ \overline{G}(x_i - x_{i'}, y_j - y_{j'}, z_k - z_{k'} cout << I << endl; cout << J << endl; cout << K << endl; cout << IE << endl; cout << JE << endl; cout << KE << endl; ) = \int_{x_{i'} - h_x/2}^{x_{i'} + h_x/2} dx' \int_{y_{j'} - h_y/2}^{y_{j'} + h_y/2} dy' \int_{z_{k'} - h_z/2}^{z_{k'} + h_z/2} dz' G(x_i - x_{i'}, y_j - y_{j'}, z_k - z_{k'}). \]

This integral can be calculated analytically in a closed from:

Definition at line 338 of file FFTPoissonSolver.cpp.

References atan(), fft_m, grntr_m, hr_m, layout4_m, log(), mirrorRhoField(), nr_m, rho2_m, sqrt(), and tmpgreen_m.

Referenced by computePotential().

Here is the call graph for this function:

void FFTPoissonSolver::mirrorRhoField ( )

private

Definition at line 499 of file FFTPoissonSolver.cpp.

References bcz_m, nr_m, and rho2_m.

Referenced by integratedGreensFunction(), and shiftedIntGreensFunction().

void FFTPoissonSolver::mirrorRhoField ( Field_t & ggrn2 )

private

Definition at line 524 of file FFTPoissonSolver.cpp.

References bcz_m, nr_m, and rho2_m.

Inform & FFTPoissonSolver::print ( Inform & os ) const

Definition at line 551 of file FFTPoissonSolver.cpp.

References endl(), and hr_m.

Here is the call graph for this function:

void FFTPoissonSolver::shiftedIntGreensFunction ( double zshift )

compute the shifted integrated Green function as described in Three-dimensional quasistatic model for high brightness beam dynamics simulation by Qiang et al.

(x[0:nr_m[0]-1]^2 + y[0:nr_m[1]-1]^2 + (z_c + z[0:nr_m[2]-1])^2)^{-0.5} (x[nr_m[0]:1]^2 + y[0:nr_m[1]-1]^2 + (z_c + z[0:nr_m[2]-1])^2)^{-0.5} (x[0:nr_m[0]-1]^2 + y[nr_m[1]:1]^2 + (z_c + z[0:nr_m[2]-1])^2)^{-0.5} (x[nr_m[0]:1]^2 + y[nr_m[1]:1]^2 + (z_c + z[0:nr_m[2]-1])^2)^{-0.5}

(x[0:nr_m[0]-1]^2 + y[0:nr_m[1]-1]^2 + (z_c - z[nr_m[2]:1])^2)^{-0.5} (x[nr_m[0]:1]^2 + y[0:nr_m[1]-1]^2 + (z_c - z[nr_m[2]:1])^2)^{-0.5} (x[0:nr_m[0]-1]^2 + y[nr_m[1]:1]^2 + (z_c - z[nr_m[2]:1])^2)^{-0.5} (x[nr_m[0]:1]^2 + y[nr_m[1]:1]^2 + (z_c - z[nr_m[2]:1])^2)^{-0.5}

Definition at line 404 of file FFTPoissonSolver.cpp.

References atan(), fft_m, grntr_m, hr_m, layout4_m, log(), mesh4_m, mirrorRhoField(), nr_m, rho2_m, sqrt(), and tmpgreen_m.