class for volume optimizer More...

Inheritance diagram for volumeOptimizer:

Collaboration diagram for volumeOptimizer:

Public Member Functions
	volumeOptimizer (partTetMeshSimplex &simplex)
	construct from partTetMeshSimplex More...

	~volumeOptimizer ()

void	optimizeNodePosition (const scalar tol=0.001)
	find the best position for the node More...

Public Member Functions inherited from simplexSmoother
	simplexSmoother (partTetMeshSimplex &simplex)
	construct from partTetMeshSimplex More...

virtual	~simplexSmoother ()

Private Member Functions
scalar	evaluateFunc () const
	evaluate functional More...

scalar	evaluateStabilisationFactor () const
	find appropriate value of K More...

void	evaluateGradientsExact (vector &, tensor &) const
	evaluate gradients of the functional More...

scalar	optimiseDivideAndConquer (const scalar tol)
	optimize position using a divide and conquer algorithm More...

scalar	optimiseSteepestDescent (const scalar tol)
	optimise using the steepest descent More...

Static Private Attributes
static const vector	dirVecs [8]
	direction vectors for divide and conquer algorithm More...

Additional Inherited Members
Protected Attributes inherited from simplexSmoother
DynList< point, 128 > &	points_
	mesh points More...

const DynList< partTet, 128 > &	tets_
	list tets around the given vertex More...

const label	pointI_
	label of the point More...

boundBox	bb_
	bound box More...

Detailed Description

class for volume optimizer

Definition at line 53 of file volumeOptimizer.H.

Constructor & Destructor Documentation

◆ volumeOptimizer()

volumeOptimizer ( partTetMeshSimplex & simplex )

construct from partTetMeshSimplex

Definition at line 56 of file volumeOptimizer.C.

◆ ~volumeOptimizer()

~volumeOptimizer ( )

Definition at line 61 of file volumeOptimizer.C.

Member Function Documentation

◆ evaluateFunc()

scalar evaluateFunc ( ) const

private

evaluate functional

Definition at line 41 of file volumeOptimizerEvaluateGradients.C.

References partTet::a(), tetrahedron::a(), partTet::b(), tetrahedron::b(), partTet::c(), tetrahedron::c(), partTet::d(), tetrahedron::d(), volumeOptimizer::evaluateStabilisationFactor(), forAll, Foam::func(), tetrahedron::mag(), Foam::magSqr(), simplexSmoother::points_, Foam::pow(), Foam::sqr(), Foam::sqrt(), and simplexSmoother::tets_.

Referenced by volumeOptimizer::optimiseDivideAndConquer(), and volumeOptimizer::optimiseSteepestDescent().

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◆ evaluateStabilisationFactor()

scalar evaluateStabilisationFactor ( ) const

private

find appropriate value of K

Definition at line 75 of file volumeOptimizerEvaluateGradients.C.

References partTet::a(), tetrahedron::a(), partTet::b(), tetrahedron::b(), partTet::c(), tetrahedron::c(), partTet::d(), tetrahedron::d(), forAll, tetrahedron::mag(), Foam::magSqr(), Foam::max(), Foam::min(), simplexSmoother::points_, and simplexSmoother::tets_.

Referenced by volumeOptimizer::evaluateFunc().

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◆ evaluateGradientsExact()

void evaluateGradientsExact	(	vector &	gradF,
		tensor &	gradGradF
	)		const

private

evaluate gradients of the functional

calculate the gradient of the volume

calculate the Frobenius norm

calculate the volume of the tetrahedron

calculate the stabilisation factor for the volume

evaluate the stabilised volume

calculate the gradient of the stabilisation volume

calculate the gradient of the Frobenius norm

calculate the gradient of the stabilised volume

calculate the gradient of the functional

calculate the second gradient of the stabilisation volume

calculate the second gradient of the stabilised volume

calculate the second gradient

Definition at line 113 of file volumeOptimizerEvaluateGradients.C.

References partTet::a(), tetrahedron::a(), partTet::b(), tetrahedron::b(), partTet::c(), tetrahedron::c(), partTet::d(), tetrahedron::d(), IOstream::defaultPrecision(), Foam::endl(), Foam::exit(), Foam::FatalError, FatalErrorIn, forAll, Foam::Info, tetrahedron::mag(), Foam::magSqr(), p, Foam::pow(), Foam::sqr(), Foam::sqrt(), Foam::twoSymm(), Tensor::xx(), Tensor::yy(), Vector< scalar >::zero, Tensor::zero, and Tensor::zz().

Referenced by volumeOptimizer::optimiseSteepestDescent().

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◆ optimiseDivideAndConquer()

scalar optimiseDivideAndConquer ( const scalar tol )

private

optimize position using a divide and conquer algorithm

find the value of the functional in the centre of the bnd box

set the centre with the minimum value as the centre for future search

halve the search range

calculate the tolerence

Definition at line 222 of file volumeOptimizerEvaluateGradients.C.

References simplexSmoother::bb_, volumeOptimizer::dirVecs, Foam::endl(), volumeOptimizer::evaluateFunc(), Foam::func(), Foam::Info, Foam::mag(), boundBox::max(), boundBox::min(), simplexSmoother::pointI_, simplexSmoother::points_, Vector< Cmpt >::x(), Vector< Cmpt >::y(), Vector< Cmpt >::z(), and Vector< scalar >::zero.

Referenced by volumeOptimizer::optimizeNodePosition().

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◆ optimiseSteepestDescent()

scalar optimiseSteepestDescent ( const scalar tol )

private

optimise using the steepest descent

it seems that this direction is wrong, stop the loop

move in random direction this is usually needed to move the point off the zero volume

Definition at line 286 of file volumeOptimizerEvaluateGradients.C.

References partTet::a(), partTet::b(), partTet::c(), Foam::det(), Foam::endl(), volumeOptimizer::evaluateFunc(), volumeOptimizer::evaluateGradientsExact(), forAll, Foam::Info, Foam::inv(), partTet::mag(), Foam::mag(), Foam::min(), n, Foam::nl, triangle::normal(), p, simplexSmoother::pointI_, simplexSmoother::points_, relax(), simplexSmoother::tets_, and Vector< scalar >::zero.

Referenced by volumeOptimizer::optimizeNodePosition().

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◆ optimizeNodePosition()

void optimizeNodePosition ( const scalar tol = 0.001 )

virtual

find the best position for the node

find the optimum using divide and conquer

check if the location can be improved using the steepest descent

scale back to the original size

Implements simplexSmoother.

Definition at line 67 of file volumeOptimizer.C.

References simplexSmoother::bb_, boundBox::contains(), forAll, Foam::func(), boundBox::mag(), boundBox::max(), boundBox::min(), volumeOptimizer::optimiseDivideAndConquer(), volumeOptimizer::optimiseSteepestDescent(), p, simplexSmoother::pointI_, and simplexSmoother::points_.

Referenced by boundaryLayerOptimisation::calculateNormalVectorsSmother(), tetMeshOptimisation::optimiseBoundaryVolumeOptimizer(), and tetMeshOptimisation::optimiseUsingVolumeOptimizer().

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Field Documentation

◆ dirVecs

const vector dirVecs

staticprivate

Initial value:

=
    {
        vector(-1.0, -1.0, -1.0),
        vector(1.0, -1.0, -1.0),
        vector(-1.0, 1.0, -1.0),
        vector(1.0, 1.0, -1.0),
        vector(-1.0, -1.0, 1.0),
        vector(1.0, -1.0, 1.0),
        vector(-1.0, 1.0, 1.0),
        vector(1.0, 1.0, 1.0)
    }

direction vectors for divide and conquer algorithm

Definition at line 59 of file volumeOptimizer.H.

Referenced by volumeOptimizer::optimiseDivideAndConquer().

The documentation for this class was generated from the following files:

applications/extra/cfMesh-v1.1.2/meshLibrary/utilities/smoothers/geometry/meshOptimizer/tetMeshOptimisation/advancedSmoothers/volumeOptimizer/volumeOptimizer.H
applications/extra/cfMesh-v1.1.2/meshLibrary/utilities/smoothers/geometry/meshOptimizer/tetMeshOptimisation/advancedSmoothers/volumeOptimizer/volumeOptimizer.C
applications/extra/cfMesh-v1.1.2/meshLibrary/utilities/smoothers/geometry/meshOptimizer/tetMeshOptimisation/advancedSmoothers/volumeOptimizer/volumeOptimizerEvaluateGradients.C

Public Member Functions

Private Member Functions

Static Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ volumeOptimizer()

◆ ~volumeOptimizer()

Member Function Documentation

◆ evaluateFunc()

◆ evaluateStabilisationFactor()

◆ evaluateGradientsExact()

◆ optimiseDivideAndConquer()

◆ optimiseSteepestDescent()

◆ optimizeNodePosition()

Field Documentation

◆ dirVecs