Package pulse.problem.schemes

Class ExplicitScheme

java.lang.Object

pulse.util.UpwardsNavigable

pulse.util.Group

pulse.util.Accessible

pulse.util.PropertyHolder

pulse.problem.schemes.DifferenceScheme

pulse.problem.schemes.OneDimensionalScheme

pulse.problem.schemes.ExplicitScheme

All Implemented Interfaces:

Serializable, Descriptive, Reflexive

Direct Known Subclasses:

ExplicitCoupledSolver, ExplicitLinearisedSolver, ExplicitNonlinearSolver, ExplicitTranslucentSolver

public abstract class ExplicitScheme
extends OneDimensionalScheme

This class provides the necessary framework to enable a simple explicit finite-difference scheme (also called the forward-time centred space scheme) for solving the one-dimensional heat conduction problem.

See Also:

ClassicalProblem, NonlinearProblem, Serialized Form

Constructor Summary

Constructors

Constructor	Description
ExplicitScheme()	Constructs a default explicit scheme using the default values of GRID_DENSITY and TAU_FACTOR.
ExplicitScheme(NumericProperty N, NumericProperty timeFactor)	Constructs an explicit scheme on a one-dimensional grid that is specified by the values N and timeFactor.
ExplicitScheme(NumericProperty N, NumericProperty timeFactor, NumericProperty timeLimit)	Constructs an explicit scheme on a one-dimensional grid that is specified by the values N and timeFactor.

Method Summary

Modifier and Type	Method	Description
void	explicitSolution()	Uses the explicit finite-difference representation of the heat equation to calculate the grid-function everywhere except for the boundaries.
double	phi(int i)
String	toString()	Prints out the description of this problem type.

Methods inherited from class pulse.problem.schemes.OneDimensionalScheme

clearArrays, finaliseStep, getCurrentSolution, getPreviousSolution, setSolutionAt, signal

Methods inherited from class pulse.problem.schemes.DifferenceScheme

areDetailsHidden, copy, copyFrom, domain, getCurrentPulseValue, getDiscretePulse, getGrid, getTimeInterval, getTimeLimit, initFrom, listedKeywords, normalOperation, prepare, prepareStep, pulse, runTimeSequence, runTimeSequence, scaleSolution, set, setDetailsHidden, setGrid, setTimeInterval, setTimeLimit, timeStep

Methods inherited from class pulse.util.PropertyHolder

addListener, data, describe, firePropertyChanged, getDescriptor, getListeners, getPrefix, ignoreSiblings, initListeners, isListedNumericType, isListedParameter, listedTypes, numericData, parameterListChanged, removeListeners, setPrefix, updateProperties, updateProperty

Methods inherited from class pulse.util.Accessible

accessibleChildren, genericProperties, genericProperty, numericProperties, numericProperty, property, update, update

Methods inherited from class pulse.util.Group

access, children, contents, getSimpleName, subgroups

Methods inherited from class pulse.util.UpwardsNavigable

addHierarchyListener, getHierarchyListeners, getParent, identify, removeHierarchyListener, removeHierarchyListeners, setParent, specificAncestor, tellParent

Methods inherited from class java.lang.Object

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

Constructor Detail

ExplicitScheme

public ExplicitScheme()

Constructs a default explicit scheme using the default values of GRID_DENSITY and TAU_FACTOR.

ExplicitScheme

public ExplicitScheme(NumericProperty N,
                      NumericProperty timeFactor)

Constructs an explicit scheme on a one-dimensional grid that is specified by the values N and timeFactor.

Parameters:

N - the NumericProperty with the type GRID_DENSITY

timeFactor - the NumericProperty with the type TAU_FACTOR

See Also:

DifferenceScheme

ExplicitScheme

public ExplicitScheme(NumericProperty N,
                      NumericProperty timeFactor,
                      NumericProperty timeLimit)

Constructs an explicit scheme on a one-dimensional grid that is specified by the values N and timeFactor. Sets the time limit of this scheme to timeLimit

Parameters:

N - the NumericProperty with the type GRID_DENSITY

timeFactor - the NumericProperty with the type TAU_FACTOR

timeLimit - the NumericProperty with the type TIME_LIMIT

See Also:

DifferenceScheme

Method Detail

explicitSolution

public void explicitSolution()

Uses the explicit finite-difference representation of the heat equation to calculate the grid-function everywhere except for the boundaries. This will update the current solution using the solution from previous time step.

phi

public double phi(int i)

toString

public String toString()

Prints out the description of this problem type.

Overrides:

toString in class DifferenceScheme

Returns:

a verbose description of the problem.