simulations.experiments.faradaysLaw
Class TwoPlanesExperiment

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

public class TwoPlanesExperiment

extends BaseExperiment

Receeding Image experiment, consisting of a monopole appearing at t =0 in the first quadrant of two perpendicular thin conducting planes. This object computes the evolution of the system and also generates an EMSource that computes the E&M fields of the system. The evolution is computed in terms of dimensionless variables and then converted to "real" units.

Version:

1.0

Author:

John Belcher, Yao Liu

Nested Class Summary

class

TwoPlanesExperiment.Motion Specifies the time derivative of the parmeters which describe the experiment at any time t.

Field Summary

private EMCollection	collection
TwoPlanesExperiment.Motion	equations Define the evolution equations used by the RK4 integrator
double	h
private RungeKuttaIntegration	integrator define the integraton scheme used to numerically integrate the evolution equations in time
double	k Location of the monopole (k,0,h)
MagneticMonopole	mono the real magnetic monopole
double	offset offset is an overall time offset before the image charges start moving
double	q0 q0 is the magnetic charge
double	t the time
TwoPlanes	twoPlanes
double	v1 v1 is the receeding velocity associated with x=0 plane
double	v2 v1 is the receeding velocity associated with z=0 plane

Fields inherited from class simulations.experiments.BaseExperiment

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

Constructor Summary

TwoPlanesExperiment(double k, double h, double q0, double v1, double v2, double t, double offset)
Constructs an instance of the experiment using the given parameters.

Method Summary

void	ConstructEMSource() Constructs the EMCollection representing the experiment
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

k

public double k

Location of the monopole (k,0,h)

h

public double h

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

v1

public double v1

v1 is the receeding velocity associated with x=0 plane

v2

public double v2

v1 is the receeding velocity associated with z=0 plane

mono

public MagneticMonopole mono

the real magnetic monopole

twoPlanes

public TwoPlanes twoPlanes

collection

private EMCollection collection

equations

public TwoPlanesExperiment.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

TwoPlanesExperiment

public TwoPlanesExperiment(double k,
                           double h,
                           double q0,
                           double v1,
                           double v2,
                           double t,
                           double offset)

Constructs an instance of the experiment using the given parameters.

Parameters:

k - the horizontal displacement of the monopole from the vertical plane

h - the vertical displacement of the monopole from the horizontal plane

offset - the frame offset before image charges begin moving

q0 - the magnetic charge

v1 - the receding image speed for the vertical plane

v2 - the receding image speed for the horizontal plane

t - the time

Method Detail

ConstructEMSource

public void ConstructEMSource()

Constructs the EMCollection representing the experiment

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.