Package pulse.problem.schemes

Class ImplicitScheme

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.ImplicitScheme

All Implemented Interfaces:

Serializable, Descriptive, Reflexive

Direct Known Subclasses:

CoupledImplicitScheme, ImplicitDiathermicSolver, ImplicitLinearisedSolver, ImplicitNonlinearSolver, ImplicitTranslucentSolver, ImplicitTwoTemperatureSolver, MixedScheme

public abstract class ImplicitScheme
extends OneDimensionalScheme

An abstract implicit finite-difference scheme for solving one-dimensional heat conduction problems.

See Also:

ClassicalProblem, NonlinearProblem, Serialized Form

Constructor Summary

Constructors

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

Method Summary

Modifier and Type	Method	Description
abstract double	evalRightBoundary(double alphaN, double betaN)
abstract double	firstBeta()
TridiagonalMatrixAlgorithm	getTridiagonalMatrixAlgorithm()
void	leftBoundary(int m)
protected void	prepare(Problem problem)	Contains preparatory steps to ensure smooth running of the solver.This includes creating a DiscretePulseobject and adjusting the grid of this scheme to match the DiscretePulsecreated for this problem Finally, a heating curve is cleared from the previously calculated values.
void	setTridiagonalMatrixAlgorithm(TridiagonalMatrixAlgorithm tridiagonal)
void	timeStep(int m)	Calculates the solution at the boundaries using the boundary conditions specific to the problem statement and runs the tridiagonal matrix algorithm to evaluate solution at the intermediate grid points.
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, prepareStep, pulse, runTimeSequence, runTimeSequence, scaleSolution, set, setDetailsHidden, setGrid, setTimeInterval, setTimeLimit

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

ImplicitScheme

public ImplicitScheme()

Constructs a default fully-implicit scheme using the default values of GRID_DENSITY and TAU_FACTOR.

ImplicitScheme

public ImplicitScheme(NumericProperty N,
                      NumericProperty timeFactor)

Constructs a fully-implicit 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

ImplicitScheme

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

Constructs a fully-implicit 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

prepare

protected void prepare(Problem problem)
                throws SolverException

Description copied from class: DifferenceScheme

Contains preparatory steps to ensure smooth running of the solver.This includes creating a DiscretePulseobject and adjusting the grid of this scheme to match the DiscretePulsecreated for this problem Finally, a heating curve is cleared from the previously calculated values.

All subclasses of DifferenceScheme should override and explicitly call this superclass method where appropriate.

Overrides:

prepare in class DifferenceScheme

Parameters:

problem - the heat problem to be solved

Throws:

SolverException

timeStep

public void timeStep(int m)
              throws SolverException

Calculates the solution at the boundaries using the boundary conditions specific to the problem statement and runs the tridiagonal matrix algorithm to evaluate solution at the intermediate grid points.

Specified by:

timeStep in class DifferenceScheme

Parameters:

m - the time step

Throws:

SolverException - if the calculation failed

leftBoundary

public void leftBoundary(int m)

evalRightBoundary

public abstract double evalRightBoundary(double alphaN,
                                         double betaN)

firstBeta

public abstract double firstBeta()

toString

public String toString()

Prints out the description of this problem type.

Overrides:

toString in class DifferenceScheme

Returns:

a verbose description of the problem.

getTridiagonalMatrixAlgorithm

public TridiagonalMatrixAlgorithm getTridiagonalMatrixAlgorithm()

setTridiagonalMatrixAlgorithm

public void setTridiagonalMatrixAlgorithm(TridiagonalMatrixAlgorithm tridiagonal)