mathcomp.assemble.cfd
Class NSMiniAssembler

java.lang.Object
  mathcomp.monitor.DefaultReportable
      mathcomp.monitor.DefaultAlgorithm
          mathcomp.assemble.Assembler
              mathcomp.assemble.stokes.StokesAssembler
                  mathcomp.assemble.cfd.NavierStokesAssembler
                      mathcomp.assemble.cfd.NSMiniAssembler

All Implemented Interfaces:

java.lang.Runnable, Algorithm, Reportable

Direct Known Subclasses:

NSMiniFPIAssembler, NSMiniOseenAssembler, NSTimeOseenSIAssembler, StokesTimeTester

public abstract class NSMiniAssembler
extends NavierStokesAssembler

Field Summary

Fields inherited from class mathcomp.assemble.cfd.NavierStokesAssembler

alpha, beta, BOUNDARY_FRICTION, BOUNDARY_GLUE, BOUNDARY_INFLOW, BOUNDARY_OUTFLOW, BOUNDARY_SLIP, INIT_ALPHA, INIT_BETA, INIT_DUCT_RADIUS, INIT_MAXITER, INIT_STARTTIME, INIT_STEPTIME, INIT_STOPTIME, INIT_TOLERANCE, INIT_VELOCITY, INIT_VISCOSITY, IS_ITERATIVE, IS_TIMEDEPENDANT, NO_BOUNDARY, type

Fields inherited from class mathcomp.assemble.stokes.StokesAssembler

gaussPoints, gaussWeights

Fields inherited from class mathcomp.assemble.Assembler

dirichletBoundaryValues, solScale

Constructor Summary

NSMiniAssembler()

Method Summary

void	createDof(Grid grid, java.util.Set dof) All global Objects, that represent a degreeOfFreedom are added to dof.
double[]	evalApproxGradientU1(Node n, Triangle t, Vector x) For H1 error calculations we need to know the gradient of the approximated solution in a node n.
double[]	evalApproxGradientU2(Node n, Triangle t, Vector x) For H1 error calculations we need to know the gradient of the approximated solution in a node n.
double	evalApproxSolutionPressure(Node n, Triangle t, Vector x) Evaluates the FEM solution for the pressure in a Node.
double	evalApproxSolutionU1(Node n, Triangle t, Vector x) Evaluates the FEM solution for the first component of the velocity field in a Node.
double	evalApproxSolutionU2(Node n, Triangle t, Vector x) Evaluates the FEM solution for the second component of the velocity field in a Node.
double	evalBasisFuncOnRefPressure(Node u, int localBasisNumber) Returns the value of the basis function used to discretize the pressure at the Node u on the reference triangle.
double	evalBasisFuncOnRefVelocity(Node u, int localBasisNumber) Returns the value of the basis function used to discretize the velocity field at the Node u on the reference triangle.
double[]	evalBasisGradOnRefVelocity(Node u, int localBasisNumber)
int	getLocalNodeNumber(Triangle t, Node n) Returns the local Node number to a Node on triangle element.

Methods inherited from class mathcomp.assemble.cfd.NavierStokesAssembler

addDirichletNodes, addToM, addToY, assembleGlobal, calcDirichletBoundary, calcUnitNormals, getBoundaryNodes, getOldSolution, getParameterBox, getType, isFinalRun, setFP_parameters, setIterationState, setOldSolution, setParameterBox

Methods inherited from class mathcomp.assemble.stokes.StokesAssembler

createSurfaces, evalApproxSolution, evalExactGradientU1, evalExactGradientU2, evalExactSolution, evalExactSolutionPressure, evalExactSolutionU1, evalExactSolutionU2, evalF, evalF1, evalF2, getDirichletValueAt, getErrorCalculator, getPaintNodes, getViscosity, setViscosity

Methods inherited from class mathcomp.assemble.Assembler

createSurfaces, evalApproxGradient, evalExactGradient, getDof, getElementMatrix, getEpsilon, getExactPartialX, getExactPartialY, getGrid, getInfoUrl, getM, getPreferredGridFileName, getSolScale, getY, report, run, setEpsilon, setGrid, setM, setTauIndex, setY, toString

Methods inherited from class mathcomp.monitor.DefaultAlgorithm

algoAbortIfNeeded, algoCancel, algoClear, algoCount, algoIncrement, algoMax, isAlgoCancel, setAlgoCount, setAlgoMax

Methods inherited from class mathcomp.monitor.DefaultReportable

getReport, setReport

Methods inherited from class java.lang.Object

equals, getClass, hashCode, notify, notifyAll, wait, wait, wait

Methods inherited from interface mathcomp.monitor.Reportable

getReport, setReport

Constructor Detail

NSMiniAssembler

public NSMiniAssembler()

Method Detail

createDof

public void createDof(Grid grid,
                      java.util.Set dof)

Description copied from class: Assembler

All global Objects, that represent a degreeOfFreedom are added to dof.

Specified by:

createDof in class Assembler

Parameters:

grid - the current grid

dof - the Set where the DOFs have to be put in

evalBasisFuncOnRefVelocity

public double evalBasisFuncOnRefVelocity(Node u,
                                         int localBasisNumber)

Description copied from class: mathcomp.assemble.stokes.StokesAssembler

Returns the value of the basis function used to discretize the velocity field at the Node u on the reference triangle.

Specified by:

evalBasisFuncOnRefVelocity in class mathcomp.assemble.stokes.StokesAssembler

evalBasisGradOnRefVelocity

public double[] evalBasisGradOnRefVelocity(Node u,
                                           int localBasisNumber)

evalBasisFuncOnRefPressure

public double evalBasisFuncOnRefPressure(Node u,
                                         int localBasisNumber)

Description copied from class: mathcomp.assemble.stokes.StokesAssembler

Returns the value of the basis function used to discretize the pressure at the Node u on the reference triangle.

Specified by:

evalBasisFuncOnRefPressure in class mathcomp.assemble.stokes.StokesAssembler

evalApproxSolutionU1

public double evalApproxSolutionU1(Node n,
                                   Triangle t,
                                   Vector x)

Description copied from class: mathcomp.assemble.stokes.StokesAssembler

Evaluates the FEM solution for the first component of the velocity field in a Node. We need this method for an easy error calculation.

Specified by:

evalApproxSolutionU1 in class mathcomp.assemble.stokes.StokesAssembler

Parameters:

n - Node where the solution has to be evaluated

t - the triangle that contains the Node n

x - the solution vector

Returns:

the value of the first component of the velocity field in n

evalApproxSolutionU2

public double evalApproxSolutionU2(Node n,
                                   Triangle t,
                                   Vector x)

Description copied from class: mathcomp.assemble.stokes.StokesAssembler

Evaluates the FEM solution for the second component of the velocity field in a Node. We need this method for an easy error calculation.

Specified by:

evalApproxSolutionU2 in class mathcomp.assemble.stokes.StokesAssembler

Parameters:

n - Node where the solution has to be evaluated

t - the triangle that contains the Node n

x - the solution vector

Returns:

the value of the second component of the velocity field in n

evalApproxSolutionPressure

public double evalApproxSolutionPressure(Node n,
                                         Triangle t,
                                         Vector x)

Description copied from class: mathcomp.assemble.stokes.StokesAssembler

Evaluates the FEM solution for the pressure in a Node. We need this method for an easy error calculation.

Specified by:

evalApproxSolutionPressure in class mathcomp.assemble.stokes.StokesAssembler

Parameters:

n - Node where the solution has to be evaluated

t - the triangle that contains the Node n

x - the solution vector

Returns:

the value of the pressure in n

getLocalNodeNumber

public int getLocalNodeNumber(Triangle t,
                              Node n)

Returns the local Node number to a Node on triangle element. Corner nodes have the local numbers 0,1 and 2 and the middle-node, used in mini-elements discretization, has local number 3. If the node is no local dof on this element returns -1.

evalApproxGradientU1

public double[] evalApproxGradientU1(Node n,
                                     Triangle t,
                                     Vector x)

Description copied from class: mathcomp.assemble.stokes.StokesAssembler

For H1 error calculations we need to know the gradient of the approximated solution in a node n. This method returns the gradient of the approximated solution of the first component of the velocity field, evaluated at the Node n.

Specified by:

evalApproxGradientU1 in class mathcomp.assemble.stokes.StokesAssembler

evalApproxGradientU2

public double[] evalApproxGradientU2(Node n,
                                     Triangle t,
                                     Vector x)

Description copied from class: mathcomp.assemble.stokes.StokesAssembler

For H1 error calculations we need to know the gradient of the approximated solution in a node n. This method returns the gradient of the approximated solution of the second component of the velocity field, evaluated at the Node n.

Specified by:

evalApproxGradientU2 in class mathcomp.assemble.stokes.StokesAssembler