StatisticsPoint< T > Struct Template Reference

This class stores statistical values for a given spatial position; to be used in combination with StatisticsVector. More...

#include <StatisticsPoint.h>

Public Member Functions
	StatisticsPoint ()
	Constructor sets sensible values. More...
	StatisticsPoint (const StatisticsPoint &other)
	Copy constructor; simply copies everything. More...
void	setCGShape (const char *CG_type)
	see StatisticsVector::setCGShape More...
CG	getCGShape () const
	see StatisticsVector::getCGShape More...
void	setCGWidth2 (Mdouble new_)
	see StatisticsVector::setCGWidth2 More...
Mdouble	getCGWidthSquared () const
	see StatisticsVector::getCGWidthSquared More...
Mdouble	getCGWidth () const
	see StatisticsVector::getCGWidth More...
Mdouble	getCutoff ()
	see StatisticsVector::getCutoff More...
Mdouble	getCutoff2 ()
	see StatisticsVector::getCutoff2 More...
Mdouble	getXMaxStat ()
	see StatisticsVector::getXMaxStat More...
Mdouble	getYMaxStat ()
	see StatisticsVector::getYMaxStat More...
Mdouble	getZMaxStat ()
	see StatisticsVector::getZMaxStat More...
Mdouble	getXMinStat ()
	see StatisticsVector::getXMinStat More...
Mdouble	getYMinStat ()
	see StatisticsVector::getYMinStat More...
Mdouble	getZMinStat ()
	see StatisticsVector::getZMinStat More...
void	getN (int &nx_, int &ny_, int &nz_)
	see StatisticsVector::get_n More...
Mdouble	evaluatePolynomial (Mdouble r)
	see StatisticsVector::evaluatePolynomial More...
Mdouble	evaluatePolynomialGradient (Mdouble r)
	see StatisticsVector::evaluatePolynomialGradient More...
Mdouble	evaluateIntegral (Mdouble n1, Mdouble n2, Mdouble t)
	see StatisticsVector::evaluateIntegral More...
void	setCGInverseVolume ()
	sets CG_invvolume More...
int	nonaveragedDim ()
double	averagingVolume ()
Mdouble	getCGInverseVolume ()
	returns CG_invvolume More...
void	set_Gaussian_invvolume (int dim)
	sets CG_invvolume if CG_type=Gaussian More...
double	compute_Gaussian_invvolume (int dim)
	computes CG_invvolume if CG_type=Gaussian More...
void	set_Heaviside_invvolume ()
	sets CG_invvolume if CG_type=HeaviSideSphere More...
void	set_Polynomial_invvolume (int dim)
	sets CG_invvolume if CG_type=Polynomial More...
void	setPosition (Vec3D new_)
	sets Position More...
Vec3D	getPosition () const
	returns Position More...
void	set_zero ()
	Sets all statistical variables to zero. More...
StatisticsPoint< T >	getSquared ()
	Squares all statistical variables; needed for variance. More...
StatisticsPoint< T > &	operator= (const StatisticsPoint< T > &P)
	Defines a equal operator needed for copy constructor. More...
StatisticsPoint< T > &	operator+= (const StatisticsPoint< T > &P)
	Defines a plus operator needed to average values ( \( \bar{v} = (\sum_{i=1}^n v_i)/n \) ) More...
StatisticsPoint< T > &	operator-= (const StatisticsPoint< T > &P)
	Defines a plus operator needed to calculate variance. More...
StatisticsPoint< T > &	operator/= (const Mdouble a)
	Defines a division operator needed to average values ( \( \bar{v} = (\sum_{i=1}^n v_i)/n \) ) More...
void	firstTimeAverage (const int n)
	Defines a division operator needed to time-average values (because the displacement does not have a value at the first timestep, this is slightly different than /=) More...
Mdouble	getDistanceSquaredNonAveraged (const Vec3D &P)
	returns the coarse graining distance in the coordinates that are not averaged about More...
Mdouble	dotNonAveraged (const Vec3D &P, const Vec3D &Q)
	Returns the dot product of two vectors in the coordinates that are not averaged about. More...
Vec3D	clearAveragedDirections (Vec3D P)
	Returns a vector where the averaged directions are zero. More...
Vec3D	crossNonAveraged (Vec3D P, Vec3D &Q)
	Returns the cross product of two vectors in the coordinates that are not averaged about. More...
Matrix3D	matrixCrossNonAveraged (Vec3D P, Matrix3D &Q)
	Returns the cross product of two vectors in the coordinates that are not averaged about. More...
Mdouble	CG_function (const Vec3D &PI)
	Returns the value of the course graining function phi(P,PI) More...
Mdouble	CG_function_2D (const Vec3D &PI)
	returns the value of the course graining function phi(P,PI) averaged along a line More...
Mdouble	CG_function_1D (const Vec3D &PI)
	Returns the value of the course graining function phi(P,PI) averaged along a plane. More...
Vec3D	CG_gradient (const Vec3D &P, const Mdouble phi)
	gradient of phi More...
Vec3D	CG_integral_gradient (Vec3D &P1, Vec3D &P2, Vec3D &P1_P2_normal, Mdouble P1_P2_distance)
	gradient of phi More...
Mdouble	CG_integral_gradient_1D (Vec3D &P1, Vec3D &P2, Vec3D &P1_P2_normal, Mdouble P1_P2_distance)
Mdouble	CG_integral (Vec3D &P1, Vec3D &P2, Vec3D &P1_P2_normal, Mdouble P1_P2_distance, Vec3D &rpsi)
	Returns the value of the coarse graining integral \( \psi(P,PI,PJ) = \int_0^1 \phi(P - PI + s PJ) ds \). More...
Mdouble	CG_integral_2D (Vec3D &P1, Vec3D &P2, Vec3D &P1_P2_normal, Mdouble P1_P2_distance, Mdouble &rpsi_scalar)
	Returns the value of the coarse graining integral \( \psi(P,PI,PJ) = \int_0^1 \phi(P - PI + s PJ) ds \) averaged along a line. More...
Mdouble	CG_integral_1D (Vec3D &P1, Vec3D &P2, Vec3D &P1_P2_normal, Mdouble P1_P2_distance, Mdouble &rpsi_scalar)
	Returns the value of the coarse graining integral \( \psi(P,PI,PJ) = \int_0^1 \phi(P - PI + s PJ) ds \) averaged along a plane. More...
std::string	print () const
	Outputs statistical variables in human-readable format. More...
std::string	print_sqrt () const
	Outputs root of statistical variables in human-readable format. More...
std::string	write_variable_names ()
	Outputs names of statistical variables in computer-readable format. More...
std::string	write () const
	Outputs statistical variables in computer-readable format. More...

Static Public Member Functions
static void	set_gb (StatisticsVector< T > *new_gb)
	see StatisticsVector::setCGShape More...

Public Attributes
Mdouble	Nu
	Particle volume fraction, \(\sum_i m_i/\rho_i \phi_i\). More...
Mdouble	Density
	Density, \(\sum_i m_i \phi_i\). More...
Vec3D	Momentum
	Momentum, \(\sum_i m_i v_{ia} \phi_i\). More...
Vec3D	DisplacementMomentum
	Momentum from linear displacement, \(\sum_i m_i u_{ia} \phi_i\), where \(\vec{u}_i=(\vec{r}_i(t)-\vec{r}_i(t-\tau))/\tau\), with \(\tau=savecount \Delta t\) the time intervall between outputs. More...
MatrixSymmetric3D	Displacement
	Linear displacement, \(2/(2 \rho_i^2) \sum_{ij} m_i m_j \phi_j (v_{ija} \partial_b \phi_i + v_{ijb} \partial_a \phi_i) \). More...
MatrixSymmetric3D	MomentumFlux
	Momentum flux, \(\sum_i m_i v_{ia} v_{ib} \phi_i\). More...
MatrixSymmetric3D	DisplacementMomentumFlux
	Momentum flux from linear displacement, \(\sum_i m_i u_{ia} u_{ib} \phi_i\). More...
Vec3D	EnergyFlux
	Energy flux, \(2/2 \sum_i m_i v_{ia} v_{ia} v_{ib} \phi_i\). More...
Matrix3D	NormalStress
	Stress from normal forces, \(\sum_{ij} f^n_{ija} l_{ijb} \psi_{ij}\). More...
Matrix3D	TangentialStress
	Stress from tangential forces, \(\sum_{ij} f^t_{ija} l_{ijb} \psi_{ij}\). More...
Vec3D	NormalTraction
	Traction from normal forces, \(\sum_{ij} f^n_{ija} l_{ijb} \phi_i\). More...
Vec3D	TangentialTraction
	Traction from tangential forces, \(\sum_{ij} f^t_{ija} l_{ijb} \phi_i\). More...
MatrixSymmetric3D	Fabric
	Fabric tensor, \(\sum_{ij} m_i/\rho_i n_{ija} n_{ijb} \psi_{ij}\). More...
Vec3D	CollisionalHeatFlux
	Heat flux from collisions, \(\sum_{ij} (v_{ia}+v_ja)/2 f_{ija} l_{ijb} \psi_i\). More...
Mdouble	Dissipation
	Dissipation form collisions, \(\sum_{ij} (v_{ia}+v_ja)/2 f_{ija} \psi_i\). More...
Mdouble	Potential
	Elastic energy \(2/4 \sum_{ij} (k \delta_{ij}^2 +k^t {\delta^t_{ij}}^2) \phi_i\). More...
Vec3D	LocalAngularMomentum
Matrix3D	LocalAngularMomentumFlux
Matrix3D	ContactCoupleStress
Mdouble	CG_invvolume
	Prefactor of CG function which depends on $w. More...
int	mirrorParticle
	indicates that a position is a (fake) particles used for periodic walls More...

Private Attributes
Vec3D	Position
	Position at which evaluation occurs. More...

Static Private Attributes
static StatisticsVector< T > *	gb
	Pointer to StatisticsVector (to obtain global parameters) More...

Friends
std::ostream &	operator (std::ostream &os, const StatisticsPoint< T > &stat)
	Outputs statistical variables to ostream. More...

Detailed Description

template<StatType T>
struct StatisticsPoint< T >

This class stores statistical values for a given spatial position; to be used in combination with StatisticsVector.

Definition at line 39 of file StatisticsPoint.h.

Constructor & Destructor Documentation

template<StatType T>

StatisticsPoint< T >::StatisticsPoint ( )

inline

Constructor sets sensible values.

Definition at line 53 of file StatisticsPoint.h.

References StatisticsPoint< T >::mirrorParticle, StatisticsPoint< T >::Position, and Vec3D::setZero().

    {
        this->Position.setZero();
        mirrorParticle = -1;
        //~ this->set_zero(); 
    }

template<StatType T>

StatisticsPoint< T >::StatisticsPoint ( const StatisticsPoint< T > &  other )

inline

Copy constructor; simply copies everything.

Definition at line 61 of file StatisticsPoint.h.

References StatisticsPoint< T >::mirrorParticle.

    {
        *this = other;
        mirrorParticle = -1;
    }

Member Function Documentation

template<StatType T>

double StatisticsPoint< T >::averagingVolume

(

)

template<StatType T>

Mdouble StatisticsPoint< T >::CG_function

(

const Vec3D &

PI

)

Returns the value of the course graining function phi(P,PI)

template<StatType T>

Mdouble StatisticsPoint< T >::CG_function_1D

(

const Vec3D &

PI

)

Returns the value of the course graining function phi(P,PI) averaged along a plane.

template<StatType T>

Mdouble StatisticsPoint< T >::CG_function_2D

(

const Vec3D &

PI

)

returns the value of the course graining function phi(P,PI) averaged along a line

template<StatType T>

Vec3D StatisticsPoint< T >::CG_gradient	(	const Vec3D &	P,
		const Mdouble	phi
	)

gradient of phi

Todo:

{Only implemented for Gaussian}

template<StatType T>

Mdouble StatisticsPoint< T >::CG_integral	(	Vec3D &	P1,
		Vec3D &	P2,
		Vec3D &	P1_P2_normal,
		Mdouble	P1_P2_distance,
		Vec3D &	rpsi
	)

Returns the value of the coarse graining integral \( \psi(P,PI,PJ) = \int_0^1 \phi(P - PI + s PJ) ds \).

template<StatType T>

Mdouble StatisticsPoint< T >::CG_integral_1D	(	Vec3D &	P1,
		Vec3D &	P2,
		Vec3D &	P1_P2_normal,
		Mdouble	P1_P2_distance,
		Mdouble &	rpsi_scalar
	)

Returns the value of the coarse graining integral \( \psi(P,PI,PJ) = \int_0^1 \phi(P - PI + s PJ) ds \) averaged along a plane.

template<StatType T>

Mdouble StatisticsPoint< T >::CG_integral_2D	(	Vec3D &	P1,
		Vec3D &	P2,
		Vec3D &	P1_P2_normal,
		Mdouble	P1_P2_distance,
		Mdouble &	rpsi_scalar
	)

Returns the value of the coarse graining integral \( \psi(P,PI,PJ) = \int_0^1 \phi(P - PI + s PJ) ds \) averaged along a line.

template<StatType T>

Vec3D StatisticsPoint< T >::CG_integral_gradient	(	Vec3D &	P1,
		Vec3D &	P2,
		Vec3D &	P1_P2_normal,
		Mdouble	P1_P2_distance
	)

gradient of phi

Todo:

{Only implemented for Gaussian and statavg Z}

template<StatType T>

Mdouble StatisticsPoint< T >::CG_integral_gradient_1D	(	Vec3D &	P1,
		Vec3D &	P2,
		Vec3D &	P1_P2_normal,
		Mdouble	P1_P2_distance
	)

template<StatType T>

Vec3D StatisticsPoint< T >::clearAveragedDirections

(

Vec3D

P

)

Returns a vector where the averaged directions are zero.

template<StatType T>

double StatisticsPoint< T >::compute_Gaussian_invvolume

(

int

dim

)

computes CG_invvolume if CG_type=Gaussian

template<StatType T>

Vec3D StatisticsPoint< T >::crossNonAveraged	(	Vec3D	P,
		Vec3D &	Q
	)

Returns the cross product of two vectors in the coordinates that are not averaged about.

template<StatType T>

Mdouble StatisticsPoint< T >::dotNonAveraged	(	const Vec3D &	P,
		const Vec3D &	Q
	)

Returns the dot product of two vectors in the coordinates that are not averaged about.

template<StatType T>

Mdouble StatisticsPoint< T >::evaluateIntegral ( Mdouble  n1, Mdouble  n2, Mdouble  t  )

inline

see StatisticsVector::evaluateIntegral

Definition at line 154 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return gb->evaluateIntegral(n1, n2, t);
    }

template<StatType T>

Mdouble StatisticsPoint< T >::evaluatePolynomial ( Mdouble  r )

inline

see StatisticsVector::evaluatePolynomial

Definition at line 144 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return gb->evaluatePolynomial(r);
    }

template<StatType T>

Mdouble StatisticsPoint< T >::evaluatePolynomialGradient ( Mdouble  r )

inline

see StatisticsVector::evaluatePolynomialGradient

Definition at line 149 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return gb->evaluatePolynomialGradient(r);
    }

template<StatType T>

void StatisticsPoint< T >::firstTimeAverage ( const int  n )

inline

Defines a division operator needed to time-average values (because the displacement does not have a value at the first timestep, this is slightly different than /=)

template<StatType T>

Mdouble StatisticsPoint< T >::getCGInverseVolume ( )

inline

returns CG_invvolume

Definition at line 164 of file StatisticsPoint.h.

References StatisticsPoint< T >::CG_invvolume.

    {
        return this->CG_invvolume;
    }

template<StatType T>

CG StatisticsPoint< T >::getCGShape ( ) const

inline

see StatisticsVector::getCGShape

Definition at line 79 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return this->gb->getCGShape();
    }

template<StatType T>

Mdouble StatisticsPoint< T >::getCGWidth ( ) const

inline

see StatisticsVector::getCGWidth

Definition at line 94 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return this->gb->getCGWidth();
    }

template<StatType T>

Mdouble StatisticsPoint< T >::getCGWidthSquared ( ) const

inline

see StatisticsVector::getCGWidthSquared

Definition at line 89 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return this->gb->getCGWidthSquared();
    }

template<StatType T>

Mdouble StatisticsPoint< T >::getCutoff ( )

inline

see StatisticsVector::getCutoff

Definition at line 99 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return this->gb->getCutoff();
    }

template<StatType T>

Mdouble StatisticsPoint< T >::getCutoff2 ( )

inline

see StatisticsVector::getCutoff2

Definition at line 104 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return this->gb->getCutoff2();
    }

template<StatType T>

Mdouble StatisticsPoint< T >::getDistanceSquaredNonAveraged

(

const Vec3D &

P

)

returns the coarse graining distance in the coordinates that are not averaged about

template<StatType T>

void StatisticsPoint< T >::getN ( int &  nx_, int &  ny_, int &  nz_  )

inline

see StatisticsVector::get_n

Definition at line 139 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        this->gb->getN(nx_, ny_, nz_);
    }

template<StatType T>

Vec3D StatisticsPoint< T >::getPosition ( ) const

inline

returns Position

Definition at line 184 of file StatisticsPoint.h.

References StatisticsPoint< T >::Position.

    {
        return this->Position;
    }

template<StatType T>

StatisticsPoint<T> StatisticsPoint< T >::getSquared

(

)

Squares all statistical variables; needed for variance.

template<StatType T>

Mdouble StatisticsPoint< T >::getXMaxStat ( )

inline

see StatisticsVector::getXMaxStat

Definition at line 109 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return this->gb->getXMaxStat();
    }

template<StatType T>

Mdouble StatisticsPoint< T >::getXMinStat ( )

inline

see StatisticsVector::getXMinStat

Definition at line 124 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return this->gb->getXMinStat();
    }

template<StatType T>

Mdouble StatisticsPoint< T >::getYMaxStat ( )

inline

see StatisticsVector::getYMaxStat

Definition at line 114 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return this->gb->getYMaxStat();
    }

template<StatType T>

Mdouble StatisticsPoint< T >::getYMinStat ( )

inline

see StatisticsVector::getYMinStat

Definition at line 129 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return this->gb->getYMinStat();
    }

template<StatType T>

Mdouble StatisticsPoint< T >::getZMaxStat ( )

inline

see StatisticsVector::getZMaxStat

Definition at line 119 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return this->gb->getZMaxStat();
    }

template<StatType T>

Mdouble StatisticsPoint< T >::getZMinStat ( )

inline

see StatisticsVector::getZMinStat

Definition at line 134 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        return this->gb->getZMinStat();
    }

template<StatType T>

Matrix3D StatisticsPoint< T >::matrixCrossNonAveraged	(	Vec3D	P,
		Matrix3D &	Q
	)

Returns the cross product of two vectors in the coordinates that are not averaged about.

template<StatType T>

int StatisticsPoint< T >::nonaveragedDim

(

)

template<StatType T>

StatisticsPoint<T>& StatisticsPoint< T >::operator+= ( const StatisticsPoint< T > &  P )

inline

Defines a plus operator needed to average values ( \( \bar{v} = (\sum_{i=1}^n v_i)/n \) )

template<StatType T>

StatisticsPoint<T>& StatisticsPoint< T >::operator-= ( const StatisticsPoint< T > &  P )

inline

Defines a plus operator needed to calculate variance.

template<StatType T>

StatisticsPoint<T>& StatisticsPoint< T >::operator/= ( const Mdouble  a )

inline

Defines a division operator needed to average values ( \( \bar{v} = (\sum_{i=1}^n v_i)/n \) )

template<StatType T>

StatisticsPoint<T>& StatisticsPoint< T >::operator= ( const StatisticsPoint< T > &  P )

inline

Defines a equal operator needed for copy constructor.

template<StatType T>

std::string StatisticsPoint< T >::print

(

)

const

Outputs statistical variables in human-readable format.

template<StatType T>

std::string StatisticsPoint< T >::print_sqrt

(

)

const

Outputs root of statistical variables in human-readable format.

template<StatType T>

void StatisticsPoint< T >::set_Gaussian_invvolume

(

int

dim

)

sets CG_invvolume if CG_type=Gaussian

template<StatType T>

static void StatisticsPoint< T >::set_gb ( StatisticsVector< T > *  new_gb )

inlinestatic

see StatisticsVector::setCGShape

Definition at line 69 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        gb = new_gb;
    }

template<StatType T>

void StatisticsPoint< T >::set_Heaviside_invvolume

(

)

sets CG_invvolume if CG_type=HeaviSideSphere

template<StatType T>

void StatisticsPoint< T >::set_Polynomial_invvolume

(

int

dim

)

sets CG_invvolume if CG_type=Polynomial

template<StatType T>

void StatisticsPoint< T >::set_zero

(

)

Sets all statistical variables to zero.

template<StatType T>

void StatisticsPoint< T >::setCGInverseVolume

(

)

sets CG_invvolume

template<StatType T>

void StatisticsPoint< T >::setCGShape ( const char *  CG_type )

inline

see StatisticsVector::setCGShape

Definition at line 74 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        this->gb->setCGShape(CG_type);
    }

template<StatType T>

void StatisticsPoint< T >::setCGWidth2 ( Mdouble  new_ )

inline

see StatisticsVector::setCGWidth2

Definition at line 84 of file StatisticsPoint.h.

References StatisticsPoint< T >::gb.

    {
        this->gb->setCGWidth2(new_);
    }

template<StatType T>

void StatisticsPoint< T >::setPosition ( Vec3D  new_ )

inline

sets Position

Definition at line 179 of file StatisticsPoint.h.

References StatisticsPoint< T >::Position.

    {
        this->Position = new_;
    }

template<StatType T>

std::string StatisticsPoint< T >::write

(

)

const

Outputs statistical variables in computer-readable format.

template<StatType T>

std::string StatisticsPoint< T >::write_variable_names

(

)

Outputs names of statistical variables in computer-readable format.

Friends And Related Function Documentation

template<StatType T>

std::ostream& operator ( std::ostream &  os, const StatisticsPoint< T > &  stat  )

friend

Outputs statistical variables to ostream.

Member Data Documentation

template<StatType T>

Mdouble StatisticsPoint< T >::CG_invvolume

Prefactor of CG function which depends on $w.

Definition at line 311 of file StatisticsPoint.h.

Referenced by StatisticsPoint< T >::getCGInverseVolume().

template<StatType T>

Vec3D StatisticsPoint< T >::CollisionalHeatFlux

Heat flux from collisions, \(\sum_{ij} (v_{ia}+v_ja)/2 f_{ija} l_{ijb} \psi_i\).

Todo:

{Heat flux calculations have not been checked, only implemented}

Definition at line 298 of file StatisticsPoint.h.

template<StatType T>

Matrix3D StatisticsPoint< T >::ContactCoupleStress

Definition at line 308 of file StatisticsPoint.h.

template<StatType T>

Mdouble StatisticsPoint< T >::Density

Density, \(\sum_i m_i \phi_i\).

Definition at line 273 of file StatisticsPoint.h.

template<StatType T>

MatrixSymmetric3D StatisticsPoint< T >::Displacement

Linear displacement, \(2/(2 \rho_i^2) \sum_{ij} m_i m_j \phi_j (v_{ija} \partial_b \phi_i + v_{ijb} \partial_a \phi_i) \).

Definition at line 279 of file StatisticsPoint.h.

template<StatType T>

Vec3D StatisticsPoint< T >::DisplacementMomentum

Momentum from linear displacement, \(\sum_i m_i u_{ia} \phi_i\), where \(\vec{u}_i=(\vec{r}_i(t)-\vec{r}_i(t-\tau))/\tau\), with \(\tau=savecount \Delta t\) the time intervall between outputs.

Definition at line 277 of file StatisticsPoint.h.

template<StatType T>

MatrixSymmetric3D StatisticsPoint< T >::DisplacementMomentumFlux

Momentum flux from linear displacement, \(\sum_i m_i u_{ia} u_{ib} \phi_i\).

Definition at line 283 of file StatisticsPoint.h.

template<StatType T>

Mdouble StatisticsPoint< T >::Dissipation

Dissipation form collisions, \(\sum_{ij} (v_{ia}+v_ja)/2 f_{ija} \psi_i\).

Todo:

{Dissipation calculations have not been checked, only implemented}

Definition at line 301 of file StatisticsPoint.h.

template<StatType T>

Vec3D StatisticsPoint< T >::EnergyFlux

Energy flux, \(2/2 \sum_i m_i v_{ia} v_{ia} v_{ib} \phi_i\).

Definition at line 285 of file StatisticsPoint.h.

template<StatType T>

MatrixSymmetric3D StatisticsPoint< T >::Fabric

Fabric tensor, \(\sum_{ij} m_i/\rho_i n_{ija} n_{ijb} \psi_{ij}\).

Definition at line 295 of file StatisticsPoint.h.

template<StatType T>

StatisticsVector<T>* StatisticsPoint< T >::gb

staticprivate

Pointer to StatisticsVector (to obtain global parameters)

Definition at line 318 of file StatisticsPoint.h.

Referenced by StatisticsPoint< T >::evaluateIntegral(), StatisticsPoint< T >::evaluatePolynomial(), StatisticsPoint< T >::evaluatePolynomialGradient(), StatisticsPoint< T >::getCGShape(), StatisticsPoint< T >::getCGWidth(), StatisticsPoint< T >::getCGWidthSquared(), StatisticsPoint< T >::getCutoff(), StatisticsPoint< T >::getCutoff2(), StatisticsPoint< T >::getN(), StatisticsPoint< T >::getXMaxStat(), StatisticsPoint< T >::getXMinStat(), StatisticsPoint< T >::getYMaxStat(), StatisticsPoint< T >::getYMinStat(), StatisticsPoint< T >::getZMaxStat(), StatisticsPoint< T >::getZMinStat(), StatisticsPoint< T >::set_gb(), StatisticsPoint< T >::setCGShape(), and StatisticsPoint< T >::setCGWidth2().

template<StatType T>

Vec3D StatisticsPoint< T >::LocalAngularMomentum

Definition at line 306 of file StatisticsPoint.h.

template<StatType T>

Matrix3D StatisticsPoint< T >::LocalAngularMomentumFlux

Definition at line 307 of file StatisticsPoint.h.

template<StatType T>

int StatisticsPoint< T >::mirrorParticle

indicates that a position is a (fake) particles used for periodic walls

Definition at line 314 of file StatisticsPoint.h.

Referenced by StatisticsPoint< T >::StatisticsPoint().

template<StatType T>

Vec3D StatisticsPoint< T >::Momentum

Momentum, \(\sum_i m_i v_{ia} \phi_i\).

Definition at line 275 of file StatisticsPoint.h.

template<StatType T>

MatrixSymmetric3D StatisticsPoint< T >::MomentumFlux

Momentum flux, \(\sum_i m_i v_{ia} v_{ib} \phi_i\).

Definition at line 281 of file StatisticsPoint.h.

template<StatType T>

Matrix3D StatisticsPoint< T >::NormalStress

Stress from normal forces, \(\sum_{ij} f^n_{ija} l_{ijb} \psi_{ij}\).

Definition at line 287 of file StatisticsPoint.h.

template<StatType T>

Vec3D StatisticsPoint< T >::NormalTraction

Traction from normal forces, \(\sum_{ij} f^n_{ija} l_{ijb} \phi_i\).

Definition at line 291 of file StatisticsPoint.h.

template<StatType T>

Mdouble StatisticsPoint< T >::Nu

Particle volume fraction, \(\sum_i m_i/\rho_i \phi_i\).

Definition at line 271 of file StatisticsPoint.h.

template<StatType T>

Vec3D StatisticsPoint< T >::Position

private

Position at which evaluation occurs.

Definition at line 320 of file StatisticsPoint.h.

Referenced by StatisticsPoint< T >::getPosition(), StatisticsPoint< T >::setPosition(), and StatisticsPoint< T >::StatisticsPoint().

template<StatType T>

Mdouble StatisticsPoint< T >::Potential

Elastic energy \(2/4 \sum_{ij} (k \delta_{ij}^2 +k^t {\delta^t_{ij}}^2) \phi_i\).

Todo:

{Potential calculations have not been checked, only implemented; fstat file does not include the torsional and rolling spring and hence cannot account for their potential}

Definition at line 304 of file StatisticsPoint.h.

template<StatType T>

Matrix3D StatisticsPoint< T >::TangentialStress

Stress from tangential forces, \(\sum_{ij} f^t_{ija} l_{ijb} \psi_{ij}\).

Definition at line 289 of file StatisticsPoint.h.

template<StatType T>

Vec3D StatisticsPoint< T >::TangentialTraction

Traction from tangential forces, \(\sum_{ij} f^t_{ija} l_{ijb} \phi_i\).

Definition at line 293 of file StatisticsPoint.h.

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

• StatisticsPoint.h