TimeSmoothedFields< Fields > Class Template Reference

A helper class for TimeSmoothedCG containing the time-smoothed variables. More...

#include <TimeSmoothedFields.h>

Public Member Functions
	TimeSmoothedFields (std::size_t n, Mdouble time)
	Constructor; sets the size of the fields_ vector and time_; sets sumWeights_ to zero. More...
	TimeSmoothedFields (const TimeSmoothedFields &a)=default
	Default copy Constructor; copies all member variables. More...
	~TimeSmoothedFields ()=default
	Default destructor; does nothing. More...

Public Attributes
std::vector< Fields >	fields_
Mdouble	time_
Mdouble	sumWeights_

Detailed Description

template<class Fields>
class TimeSmoothedFields< Fields >

A helper class for TimeSmoothedCG containing the time-smoothed variables.

Time-smoothing of the Fields is achieved by averaging the field values F over time,

\[\bar F(t,w_t) = \frac{\sum_i w(t-t_i) F(t_i)}{\sum_i w(t-t_i)},\]

with the weight given by a Gaussian distribution,

\[\bar w(t-t_i) = exp(-(t-t_i)^2/2w_t^2).\]

Thus, the smoothed fields have to be stored over several time steps until the full sum has been computed. This is done in TimeSmoothedCG::averages_, which is a vector of TimeSmoothedFields values; for each time step $t$ at which smoothed values are computed, a TimeSmoothedFields object is added at \(t-t_{cutoff}\), then values are continually added until the smoothed field is fully computed at time \(t+t_{cutoff}\); the data is then written and removed from the vector.

Constructor & Destructor Documentation

TimeSmoothedFields() [1/2]

template<class Fields >

TimeSmoothedFields< Fields >::TimeSmoothedFields ( std::size_t  n, Mdouble  time  )

inline

Constructor; sets the size of the fields_ vector and time_; sets sumWeights_ to zero.

                                                  : time_(time), sumWeights_(0), fields_(n)
    {}

TimeSmoothedFields() [2/2]

template<class Fields >

TimeSmoothedFields< Fields >::TimeSmoothedFields ( const TimeSmoothedFields< Fields > &  a )

default

Default copy Constructor; copies all member variables.

~TimeSmoothedFields()

template<class Fields >

TimeSmoothedFields< Fields >::~TimeSmoothedFields ( )

default

Default destructor; does nothing.

Member Data Documentation

fields_

template<class Fields >

std::vector<Fields> TimeSmoothedFields< Fields >::fields_

A vector of StandardFields values whose length is equal to the number of CGPoints. Is used to compute the time-smoothed fields.

sumWeights_

template<class Fields >

Mdouble TimeSmoothedFields< Fields >::sumWeights_

The sum of weights of all time steps that are already computed

time_

template<class Fields >

Mdouble TimeSmoothedFields< Fields >::time_

The time for which smoothed-time fields are evaluated

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

• TimeSmoothedFields.h