simulations.experiments.faradaysLaw
Class EddyCurrentsDipoleExperiment

java.lang.Object
  simulations.experiments.BaseExperiment
      simulations.experiments.faradaysLaw.EddyCurrentsDipoleExperiment

public class EddyCurrentsDipoleExperiment

extends BaseExperiment

Eddy currents in a conducting plane below a moving dipole, for various values of the speed of the monopole, following Saslow. This object computes the evolution of the system and also generates an EMSource that computes the eddy currents of the system. The eddy currents are stored in a fake "B" field computed in the object EddyCurrents.

Version:

1.0

Author:

John Belcher

Nested Class Summary

class

EddyCurrentsDipoleExperiment.Motion

Field Summary

double	angle The angle that the dipole makes in the xy plane, with angle = 0 along x.
private EMCollection	collection Collection consisting of two sets of eddy currents, one for each of the two monopoles making up the dipole.
EddyCurrents	current1 the eddy currents in the conducting sheet for the two monopoles
EddyCurrents	current2
EddyCurrentsDipoleExperiment.Motion	equations Define the evolution equations used by the RK4 integrator
double	H H = height of the dipole above z = 0
private RungeKuttaIntegration	integrator define the integraton scheme used to numerically integrate the evolution equations in time
double	offset offset is an overall time offset before the image charges start moving
double	q0 q0 is the magnetic charge
double	r The distance between the two monopoles that make up the dipole.
double	t the time
double	v v is the horizontal speed of the dipole
double	v0 v0 is the vertical speed of the receeding monopoles once they start receeding

Fields inherited from class simulations.experiments.BaseExperiment

eps, FieldMotionType, FieldType, FluidFlowSpeed, Fnorm, Fpower, numberSmallSteps

Constructor Summary

EddyCurrentsDipoleExperiment(double H, double q0, double v0, double v, double r, double angle, double offset)
Constructs an instance of the experiment using the given parameters.

Method Summary

void	ConstructEMSource() Constructs the EMCollection representing the dipole
void	Evolve(double dt) Evolves the experiment by a time step "dt" using an RK4 integrator by taking numberSmallSteps between t and t + dt, for accuracy.
void	Evolve(double dt, double maxStep) Evolve the experiment by a time step "dt" using an integrator.
BaseObject	getEMSource() An EMSource that represents the current experimental state that can be used to compute the current E&M fields.
double	getFlowSpeed(Vec3 r, Vec RegionFlow) Method to find the flow speed in a given region when we are determining that speed according to region.
double	getHue(double TargetHue, Vec3 r, Vec RegionColor) Method to find the hue in a given region when we are coloring according to region (Color Mode 4).

Methods inherited from class java.lang.Object

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

Field Detail

H

public double H

H = height of the dipole above z = 0

t

public double t

the time

offset

public double offset

offset is an overall time offset before the image charges start moving

q0

public double q0

q0 is the magnetic charge

v0

public double v0

v0 is the vertical speed of the receeding monopoles once they start receeding

v

public double v

v is the horizontal speed of the dipole

angle

public double angle

The angle that the dipole makes in the xy plane, with angle = 0 along x.

r

public double r

The distance between the two monopoles that make up the dipole.

current1

public EddyCurrents current1

the eddy currents in the conducting sheet for the two monopoles

current2

public EddyCurrents current2

collection

private EMCollection collection

Collection consisting of two sets of eddy currents, one for each of the two monopoles making up the dipole.

equations

public EddyCurrentsDipoleExperiment.Motion equations

Define the evolution equations used by the RK4 integrator

integrator

private RungeKuttaIntegration integrator

define the integraton scheme used to numerically integrate the evolution equations in time

Constructor Detail

EddyCurrentsDipoleExperiment

public EddyCurrentsDipoleExperiment(double H,
                                    double q0,
                                    double v0,
                                    double v,
                                    double r,
                                    double angle,
                                    double offset)

Constructs an instance of the experiment using the given parameters.

Parameters:

H - The height of the dipole above z = 0.

q0 - The magnetic monopole charge--the dipole is made out of a +q0 and a -q0.

v0 - The speed of the receeding image.

v - The horizontal speed of the dipole.

r - The separation of the two monoples.

angle - The angle that the dipole makes in the xy plane, with 0 being in the x direction.

offset - The frame offset before image charges begin moving.

Method Detail

ConstructEMSource

public void ConstructEMSource()

Constructs the EMCollection representing the dipole

Specified by:

ConstructEMSource in class BaseExperiment

getEMSource

public BaseObject getEMSource()

An EMSource that represents the current experimental state that can be used to compute the current E&M fields.

Specified by:

getEMSource in class BaseExperiment

Evolve

public void Evolve(double dt,
                   double maxStep)

Evolve the experiment by a time step "dt" using an integrator. The maximum integrator step size allowed is "maxStep". The state of the EMSource representing the system is updated to reflect the change.

Parameters:

maxStep - the maximum step allowed

dt - the time step

Evolve

public void Evolve(double dt)

Evolves the experiment by a time step "dt" using an RK4 integrator by taking numberSmallSteps between t and t + dt, for accuracy.

Specified by:

Evolve in class BaseExperiment

getHue

public double getHue(double TargetHue,
                     Vec3 r,
                     Vec RegionColor)

Method to find the hue in a given region when we are coloring according to region (Color Mode 4).

Specified by:

getHue in class BaseExperiment

Parameters:

TargetHue - This is the target hue from the renderer.

r - This is the vector postion of the point in the image.

RegionColor - This is the varous hues for the regions.

Returns:

The hue for the part of the image map at r.

getFlowSpeed

public double getFlowSpeed(Vec3 r,
                           Vec RegionFlow)

Method to find the flow speed in a given region when we are determining that speed according to region. This method is used when we have set experiment.FieldMotionType to one of either Constants.FIELD_MOTION_VREFIELD or Constants.FIELD_MOTION_VRBFIELD.

Specified by:

getFlowSpeed in class BaseExperiment

Parameters:

r - This is the vector postion of the point in the image.

RegionFlow - This is the flow speeds for the regions.

Returns:

The flow speed for the part of the image map at r.