Package pulse.problem.schemes.rte

Class BlackbodySpectrum

java.lang.Object

pulse.problem.schemes.rte.BlackbodySpectrum

All Implemented Interfaces:

Serializable

public class BlackbodySpectrum
extends Object
implements Serializable

Contains methods for calculating the integral spectral characteristics of a black body with a specific spatial temperature profile. The latter is managed using a UnivariateFunction previously generated with a SplineInterpolator.

See Also:

Serialized Form

Constructor Summary

Constructors

Constructor	Description
BlackbodySpectrum(NonlinearProblem p)	Creates a BlackbodySpectrum.

Method Summary

Modifier and Type	Method	Description
double	emissivePower(double reducedTemperature)	Calculates the emissive power.
org.apache.commons.math3.analysis.UnivariateFunction	getInterpolation()
double	powerAt(double x)	Calculates the emissive power at the given coordinate.
double	radiance(double reducedTemperature)
double	radianceAt(double x)	Calculates the spectral radiance, which is equal to the spectral power divided by π, at the given coordinate.
void	setInterpolation(org.apache.commons.math3.analysis.UnivariateFunction interpolation)	Sets a new function for the spatial temperature profile.
String	toString()

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Constructor Detail

BlackbodySpectrum

public BlackbodySpectrum(NonlinearProblem p)

Creates a BlackbodySpectrum. Calculates the reduction factor $\delta$T_m/T₀, which is needed for calculations of the maximum heating. Note the interpolation needs to be set

Parameters:

p - a problem statement

Method Detail

toString

public String toString()

Overrides:

toString in class Object

emissivePower

public double emissivePower(double reducedTemperature)

Calculates the emissive power. This is equal to $0.25$T₀/δT_m [1 +δT_m /T₀ θ (x) ]⁴, where θ is the reduced temperature.

Parameters:

reducedTemperature - the dimensionless reduced temperature

Returns:

the amount of emissive power

radianceAt

public double radianceAt(double x)

Calculates the spectral radiance, which is equal to the spectral power divided by π, at the given coordinate.

Parameters:

x - the geometric coordinate at which calculation should be performed

Returns:

the spectral radiance at x

powerAt

public double powerAt(double x)

Calculates the emissive power at the given coordinate.

Parameters:

x - the geometric coordinate inside the sample

Returns:

the local emissive power value

setInterpolation

public void setInterpolation(org.apache.commons.math3.analysis.UnivariateFunction interpolation)

Sets a new function for the spatial temperature profile. The function is generally constructed using a SplineInterpolator

Parameters:

interpolation -

getInterpolation

public org.apache.commons.math3.analysis.UnivariateFunction getInterpolation()

radiance

public final double radiance(double reducedTemperature)