A volume geometry based on a full 3-dimensional BSpline tensor product. More...

#include <nurbs_volume_geometry.h>

Inheritance diagram for Kratos::NurbsVolumeGeometry< TContainerPointType >:

Collaboration diagram for Kratos::NurbsVolumeGeometry< TContainerPointType >:

Public Member Functions
Life Cycle
	NurbsVolumeGeometry (const PointsArrayType &rThisPoints, const SizeType PolynomialDegreeU, const SizeType PolynomialDegreeV, const SizeType PolynomialDegreeW, const Vector &rKnotsU, const Vector &rKnotsV, const Vector &rKnotsW)
	Conctructor for B-Spline volumes. More...

	NurbsVolumeGeometry (const PointsArrayType &ThisPoints)

	NurbsVolumeGeometry (NurbsVolumeGeometry< TContainerPointType > const &rOther)
	Copy constructor. More...

template<class TOtherContainerPointType >
	NurbsVolumeGeometry (NurbsVolumeGeometry< TOtherContainerPointType > const &rOther)
	Copy constructor from a geometry with different point type. More...

	~NurbsVolumeGeometry () override=default
	Destructor. More...

Operators
NurbsVolumeGeometry &	operator= (const NurbsVolumeGeometry &rOther)
	Assignment operator. More...

template<class TOtherContainerPointType >
NurbsVolumeGeometry &	operator= (NurbsVolumeGeometry< TOtherContainerPointType > const &rOther)
	Assignment operator for geometries with different point type. More...

Operations
BaseType::Pointer	Create (PointsArrayType const &ThisPoints) const override

void	CreateQuadraturePointGeometries (GeometriesArrayType &rResultGeometries, IndexType NumberOfShapeFunctionDerivatives, IntegrationInfo &rIntegrationInfo) override
	Creates a list of quadrature point geometries from a list of integration points. More...

void	CreateQuadraturePointGeometries (GeometriesArrayType &rResultGeometries, IndexType NumberOfShapeFunctionDerivatives, const IntegrationPointsArrayType &rIntegrationPoints, IntegrationInfo &rIntegrationInfo) override
	Creates a list of quadrature point geometries. from a list of integration points. More...

int	ProjectionPointGlobalToLocalSpace (const CoordinatesArrayType &rPointGlobalCoordinates, CoordinatesArrayType &rProjectedPointLocalCoordinates, const double Tolerance=std::numeric_limits< double >::epsilon()) const override
	Returns local coordinates in return for a point in physical coordinates. This function assumes the initial geometry to be a regular grid. Only linear mapping is applied. More...

CoordinatesArrayType &	GlobalCoordinates (CoordinatesArrayType &rResult, const CoordinatesArrayType &rLocalCoordinates) const override
	This method maps from local space to working space. More...

void	GlobalSpaceDerivatives (std::vector< CoordinatesArrayType > &rGlobalSpaceDerivatives, const CoordinatesArrayType &rLocalCoordinates, const SizeType DerivativeOrder) const override
	This method maps from local space to working space and computes the derivatives at the local space parameter in the dimension of the object. More...

Geometrical Information
SizeType	PointsNumberInDirection (IndexType LocalDirectionIndex) const override
	Returns number of points per direction. More...

Mathematical Informations
SizeType	PolynomialDegree (IndexType LocalDirectionIndex) const override
	Return polynomial degree of the volume in direction 0, 1, 2. More...

Get and Set functions
void	SetInternals (const PointsArrayType &rThisPoints, const SizeType PolynomialDegreeU, const SizeType PolynomialDegreeV, const SizeType PolynomialDegreeW, const Vector &rKnotsU, const Vector &rKnotsV, const Vector &rKnotsW)

SizeType	PolynomialDegreeU () const

SizeType	PolynomialDegreeV () const

SizeType	PolynomialDegreeW () const

const Vector &	KnotsU () const
	Get Knot vector in u-direction. More...

const Vector &	KnotsV () const
	Get Knot vector in v-direction. More...

const Vector &	KnotsW () const
	Get Knot vector in w-direction. More...

SizeType	NumberOfKnotsU () const

SizeType	NumberOfKnotsV () const

SizeType	NumberOfKnotsW () const

bool	IsRational () const
	Checks if shape functions are rational or not. More...

SizeType	NumberOfControlPointsU () const
	Attention weights are not yet implemented. More...

SizeType	NumberOfControlPointsV () const

SizeType	NumberOfControlPointsW () const

SizeType	NumberOfKnotSpans (IndexType DirectionIndex) const
	Returns the number of spans in DirectionIndex=0:U, DirectionIndex=1:V and DirectionIndex=2 (which are larger than 0). More...

void	Spans (std::vector< double > &rSpans, IndexType DirectionIndex) const
	Provides all knot spans along the given direction. More...

NurbsInterval	DomainIntervalU () const
	Provides the natural boundaries of the NURBS/B-Spline volume. More...

NurbsInterval	DomainIntervalV () const
	Provides the natural boundaries of the NURBS/B-Spline volume. More...

NurbsInterval	DomainIntervalW () const
	Provides the natural boundaries of the NURBS/B-Spline volume. More...

std::vector< NurbsInterval >	KnotSpanIntervalsU () const
	Provides all knot span intervals of the volume in u-direction. More...

std::vector< NurbsInterval >	KnotSpanIntervalsV () const
	Provides all knot span intervals of the volume in v-direction. More...

std::vector< NurbsInterval >	KnotSpanIntervalsW () const
	Provides all knot span intervals of the volume in w-direction. More...

Integration Info
IntegrationInfo	GetDefaultIntegrationInfo () const override
	Provides the default integration dependent on the polynomial degree of the underlying surface. More...

Integration Points
void	CreateIntegrationPoints (IntegrationPointsArrayType &rIntegrationPoints, IntegrationInfo &rIntegrationInfo) const override
	Creates integration points according to the polynomial degrees. More...

void	CreateIntegrationPoints (IntegrationPointsArrayType &rIntegrationPoints, SizeType NumPointsPerSpanU, SizeType NumPointsPerSpanV, SizeType NumPointsPerSpanW) const
	Creates integration points according to the input parameter. More...

Matrix &	Jacobian (Matrix &rResult, const CoordinatesArrayType &rCoordinates) const override
	Computes jacobian matrix at the given coordinates. More...

Shape Function
Vector &	ShapeFunctionsValues (Vector &rResult, const CoordinatesArrayType &rCoordinates) const override
	Computes the shape function values in the local parameter space. More...

Matrix &	ShapeFunctionsLocalGradients (Matrix &rResult, const CoordinatesArrayType &rCoordinates) const override
	Computes the first derivatives in the local parameter space. More...

Geometry Family
GeometryData::KratosGeometryFamily	GetGeometryFamily () const override

GeometryData::KratosGeometryType	GetGeometryType () const override

Information
std::string	Info () const override
	Turn back information as a string. More...

void	PrintInfo (std::ostream &rOStream) const override
	Print information about this object. More...

void	PrintData (std::ostream &rOStream) const override
	Print geometry's data into given stream. More...

Public Member Functions inherited from Kratos::Geometry< TContainerPointType::value_type >
	Geometry ()
	Standard Constructor. Generates self assigned id. More...

	Geometry (IndexType GeomertyId)
	Standard Constructor with a geometry Id. More...

	Geometry (const std::string &GeometryName)
	Standard Constructor with a Name. More...

	Geometry (const PointsArrayType &ThisPoints, GeometryData const *pThisGeometryData=&GeometryDataInstance())

	Geometry (IndexType GeometryId, const PointsArrayType &ThisPoints, GeometryData const *pThisGeometryData=&GeometryDataInstance())

	Geometry (const std::string &GeometryName, const PointsArrayType &ThisPoints, GeometryData const *pThisGeometryData=&GeometryDataInstance())

	Geometry (const Geometry &rOther)
	Copy constructor. More...

	Geometry (Geometry< TOtherPointType > const &rOther)
	Copy constructor with TOtherPointType. More...

virtual	~Geometry ()
	Destructor. Do nothing!!! More...

Geometry &	operator= (const Geometry &rOther)

Geometry &	operator= (Geometry< TOtherPointType > const &rOther)

	operator PointsArrayType & ()

TContainerPointType::value_type &	operator[] (const SizeType &i)

TContainerPointType::value_type const &	operator[] (const SizeType &i) const

PointPointerType &	operator() (const SizeType &i)

ConstPointPointerType &	operator() (const SizeType &i) const

iterator	begin ()

const_iterator	begin () const

iterator	end ()

const_iterator	end () const

ptr_iterator	ptr_begin ()

ptr_const_iterator	ptr_begin () const

ptr_iterator	ptr_end ()

ptr_const_iterator	ptr_end () const

PointReferenceType	front ()

ConstPointReferenceType	front () const

PointReferenceType	back ()

ConstPointReferenceType	back () const

SizeType	size () const

SizeType	PointsNumber () const

SizeType	max_size () const

void	swap (GeometryType &rOther)

void	push_back (PointPointerType x)

void	clear ()

void	reserve (int dim)

int	capacity ()

PointPointerContainerType &	GetContainer ()
	‍** Gives a reference to underly normal container. *‍/ More...

const PointPointerContainerType &	GetContainer () const

DataValueContainer &	GetData ()

DataValueContainer const &	GetData () const

void	SetData (DataValueContainer const &rThisData)

bool	Has (const Variable< TDataType > &rThisVariable) const

void	SetValue (const TVariableType &rThisVariable, typename TVariableType::Type const &rValue)

TVariableType::Type &	GetValue (const TVariableType &rThisVariable)

TVariableType::Type const &	GetValue (const TVariableType &rThisVariable) const

virtual void	Assign (const Variable< bool > &rVariable, const bool Input)
	Assign with bool. More...

virtual void	Assign (const Variable< int > &rVariable, const int Input)
	Assign with int. More...

virtual void	Assign (const Variable< double > &rVariable, const double Input)
	Assign with double. More...

virtual void	Assign (const Variable< array_1d< double, 2 >> &rVariable, const array_1d< double, 2 > &rInput)
	Assign with array_1d<double, 2> More...

virtual void	Assign (const Variable< array_1d< double, 3 >> &rVariable, const array_1d< double, 3 > &rInput)
	Assign with array_1d<double, 3> More...

virtual void	Assign (const Variable< array_1d< double, 6 >> &rVariable, const array_1d< double, 6 > &rInput)
	Assign with array_1d<double, 6> More...

virtual void	Assign (const Variable< Vector > &rVariable, const Vector &rInput)
	Assign with Vector. More...

virtual void	Assign (const Variable< Matrix > &rVariable, const Matrix &rInput)
	Assign with Matrix. More...

virtual void	Calculate (const Variable< bool > &rVariable, bool &rOutput) const
	Calculate with bool. More...

virtual void	Calculate (const Variable< int > &rVariable, int &rOutput) const
	Calculate with int. More...

virtual void	Calculate (const Variable< double > &rVariable, double &rOutput) const
	Calculate with double. More...

virtual void	Calculate (const Variable< array_1d< double, 2 >> &rVariable, array_1d< double, 2 > &rOutput) const
	Calculate with array_1d<double, 2> More...

virtual void	Calculate (const Variable< array_1d< double, 3 >> &rVariable, array_1d< double, 3 > &rOutput) const
	Calculate with array_1d<double, 3> More...

virtual void	Calculate (const Variable< array_1d< double, 6 >> &rVariable, array_1d< double, 6 > &rOutput) const
	Calculate with array_1d<double, 6> More...

virtual void	Calculate (const Variable< Vector > &rVariable, Vector &rOutput) const
	Calculate with Vector. More...

virtual void	Calculate (const Variable< Matrix > &rVariable, Matrix &rOutput) const
	Calculate with Matrix. More...

virtual Pointer	Create (PointsArrayType const &rThisPoints) const
	Creates a new geometry pointer. More...

virtual Pointer	Create (const IndexType NewGeometryId, PointsArrayType const &rThisPoints) const
	Creates a new geometry pointer. More...

Pointer	Create (const std::string &rNewGeometryName, PointsArrayType const &rThisPoints) const
	Creates a new geometry pointer. More...

virtual Pointer	Create (const GeometryType &rGeometry) const
	Creates a new geometry pointer. More...

virtual Pointer	Create (const IndexType NewGeometryId, const GeometryType &rGeometry) const
	Creates a new geometry pointer. More...

Pointer	Create (const std::string &rNewGeometryName, const GeometryType &rGeometry) const
	Creates a new geometry pointer. More...

void	ClonePoints ()

virtual Vector &	LumpingFactors (Vector &rResult, const LumpingMethods LumpingMethod=LumpingMethods::ROW_SUM) const
	Lumping factors for the calculation of the lumped mass matrix. More...

GeometryData const &	GetGeometryData () const
	GeometryData contains all information about dimensions and has a set of precomputed values for integration points and shape functions, including derivatives. More...

virtual void	SetGeometryShapeFunctionContainer (const GeometryShapeFunctionContainer< GeometryData::IntegrationMethod > &rGeometryShapeFunctionContainer)

virtual GeometryType &	GetGeometryParent (IndexType Index) const
	Some geometries require relations to other geometries. This is the case for e.g. quadrature points. To reach the parent geometry this function can be used. More...

virtual void	SetGeometryParent (GeometryType *pGeometryParent)
	Some geometries require relations to other geometries. This is the case for e.g. quadrature points. To set or change the parent geometry this function can be used. More...

virtual GeometryType &	GetGeometryPart (const IndexType Index)
	Used for composite geometries. It returns the the geometry part, corresponding to the Index. More...

virtual const GeometryType &	GetGeometryPart (const IndexType Index) const
	Used for composite geometries. It returns the the geometry part, corresponding to the Index. More...

virtual GeometryType::Pointer	pGetGeometryPart (const IndexType Index)
	Used for composite geometries. It returns the pointer of a geometry part, corresponding to the Index. More...

virtual const GeometryType::Pointer	pGetGeometryPart (const IndexType Index) const
	Used for composite geometries. It returns the const pointer of a geometry part, corresponding to the Index. More...

virtual void	SetGeometryPart (const IndexType Index, GeometryType::Pointer pGeometry)
	Allows to exchange certain geometries. More...

virtual IndexType	AddGeometryPart (GeometryType::Pointer pGeometry)
	Allows to enhance the coupling geometry, with another geometry. More...

virtual void	RemoveGeometryPart (GeometryType::Pointer pGeometry)
	Removes a geometry part. More...

virtual void	RemoveGeometryPart (const IndexType Index)
	Removes a geometry part. More...

virtual bool	HasGeometryPart (const IndexType Index) const
	Use to check if certain Indexed object is within the geometry parts of this geometry. More...

virtual SizeType	NumberOfGeometryParts () const

SizeType	WorkingSpaceDimension () const

SizeType	LocalSpaceDimension () const

virtual double	Length () const

virtual double	Area () const
	This method calculate and return area or surface area of this geometry depending to it's dimension. More...

virtual double	Volume () const
	This method calculate and return volume of this geometry. More...

virtual double	DomainSize () const
	This method calculate and return length, area or volume of this geometry depending to it's dimension. More...

virtual double	MinEdgeLength () const

virtual double	MaxEdgeLength () const

virtual double	AverageEdgeLength () const

virtual double	Circumradius () const

virtual double	Inradius () const

virtual bool	HasIntersection (const GeometryType &ThisGeometry) const

virtual bool	HasIntersection (const Point &rLowPoint, const Point &rHighPoint) const

virtual void	BoundingBox (TContainerPointType::value_type &rLowPoint, TContainerPointType::value_type &rHighPoint) const
	Calculates the boundingbox of the geometry. More...

virtual Point	Center () const

virtual array_1d< double, 3 >	Normal (const CoordinatesArrayType &rPointLocalCoordinates) const
	It returns a vector that is normal to its corresponding geometry in the given local point. More...

virtual array_1d< double, 3 >	Normal (IndexType IntegrationPointIndex) const
	It returns the vector, which is normal to its corresponding geometry in the given integration point for the default integration method. More...

virtual array_1d< double, 3 >	Normal (IndexType IntegrationPointIndex, IntegrationMethod ThisMethod) const
	It returns the vector, which is normal to its corresponding geometry in the given integration point. More...

virtual array_1d< double, 3 >	UnitNormal (const CoordinatesArrayType &rPointLocalCoordinates) const
	It computes the unit normal of the geometry in the given local point. More...

virtual array_1d< double, 3 >	UnitNormal (IndexType IntegrationPointIndex) const
	It returns the normalized normal vector in the given integration point. More...

virtual array_1d< double, 3 >	UnitNormal (IndexType IntegrationPointIndex, IntegrationMethod ThisMethod) const
	It returns the normalized normal vector in the given integration point. More...

double	Quality (const QualityCriteria qualityCriteria) const

virtual void	ComputeDihedralAngles (Vector &rDihedralAngles) const

virtual void	ComputeSolidAngles (Vector &rSolidAngles) const

const PointsArrayType &	Points () const

PointsArrayType &	Points ()

const TPointType::Pointer	pGetPoint (const int Index) const

TPointType::Pointer	pGetPoint (const int Index)

TContainerPointType::value_type const &	GetPoint (const int Index) const

TContainerPointType::value_type &	GetPoint (const int Index)

virtual Matrix &	PointsLocalCoordinates (Matrix &rResult) const

virtual CoordinatesArrayType &	PointLocalCoordinates (CoordinatesArrayType &rResult, const CoordinatesArrayType &rPoint) const
	Returns the local coordinates of a given arbitrary point. More...

virtual bool	IsInside (const CoordinatesArrayType &rPointGlobalCoordinates, CoordinatesArrayType &rResult, const double Tolerance=std::numeric_limits< double >::epsilon()) const
	Checks if given point in global space coordinates is inside the geometry boundaries. This function computes the local coordinates and checks then if this point lays within the boundaries. More...

virtual int	IsInsideLocalSpace (const CoordinatesArrayType &rPointLocalCoordinates, const double Tolerance=std::numeric_limits< double >::epsilon()) const
	Checks if given point in local space coordinates of this geometry is inside the geometry boundaries. More...

virtual void	SpansLocalSpace (std::vector< double > &rSpans, IndexType LocalDirectionIndex=0) const

virtual GeometriesArrayType	GenerateBoundariesEntities () const
	This method gives you all boundaries entities of this geometry. More...

virtual GeometriesArrayType	GeneratePoints () const
	This method gives you all points of this geometry. More...

virtual SizeType	EdgesNumber () const
	This method gives you number of all edges of this geometry. More...

	KRATOS_DEPRECATED_MESSAGE ("This is legacy version (use GenerateEdges instead)") virtual GeometriesArrayType Edges(void)
	This method gives you all edges of this geometry. More...

virtual GeometriesArrayType	GenerateEdges () const
	This method gives you all edges of this geometry. More...

	KRATOS_DEPRECATED_MESSAGE ("This is legacy version (use GenerateFaces instead)") virtual GeometriesArrayType Faces(void)
	Returns all faces of the current geometry. More...

virtual SizeType	FacesNumber () const
	Returns the number of faces of the current geometry. More...

virtual GeometriesArrayType	GenerateFaces () const
	Returns all faces of the current geometry. More...

virtual void	NumberNodesInFaces (DenseVector< unsigned int > &rNumberNodesInFaces) const

virtual void	NodesInFaces (DenseMatrix< unsigned int > &rNodesInFaces) const

SizeType	IntegrationPointsNumber () const

SizeType	IntegrationPointsNumber (IntegrationMethod ThisMethod) const

const IntegrationPointsArrayType &	IntegrationPoints () const

const IntegrationPointsArrayType &	IntegrationPoints (IntegrationMethod ThisMethod) const

void	GlobalCoordinates (CoordinatesArrayType &rResult, IndexType IntegrationPointIndex) const

void	GlobalCoordinates (CoordinatesArrayType &rResult, IndexType IntegrationPointIndex, const IntegrationMethod ThisMethod) const
	This method provides the global coordinates to the corresponding integration point. More...

virtual CoordinatesArrayType &	GlobalCoordinates (CoordinatesArrayType &rResult, CoordinatesArrayType const &LocalCoordinates, Matrix &DeltaPosition) const

virtual void	GlobalSpaceDerivatives (std::vector< CoordinatesArrayType > &rGlobalSpaceDerivatives, IndexType IntegrationPointIndex, const SizeType DerivativeOrder) const
	This method maps from dimension space to working space and computes the number of derivatives at the dimension parameter. More...

virtual int	ProjectionPoint (const CoordinatesArrayType &rPointGlobalCoordinates, CoordinatesArrayType &rProjectedPointGlobalCoordinates, CoordinatesArrayType &rProjectedPointLocalCoordinates, const double Tolerance=std::numeric_limits< double >::epsilon()) const
	Projects a certain point on the geometry, or finds the closest point, depending on the provided initial guess. The external point does not necessary lay on the geometry. It shall deal as the interface to the mathematical projection function e.g. the Newton-Raphson. Thus, the breaking criteria does not necessarily mean that it found a point on the surface, if it is really the closest if or not. It shows only if the breaking criteria, defined by the tolerance is reached. More...

virtual int	ProjectionPointLocalToLocalSpace (const CoordinatesArrayType &rPointLocalCoordinates, CoordinatesArrayType &rProjectionPointLocalCoordinates, const double Tolerance=std::numeric_limits< double >::epsilon()) const
	Projects a point onto the geometry Projects a certain point on the geometry, or finds the closest point, depending on the provided initial guess. The external point does not necessary lay on the geometry. It shall deal as the interface to the mathematical projection function e.g. the Newton-Raphson. Thus, the breaking criteria does not necessarily mean that it found a point on the surface, if it is really the closest if or not. It shows only if the breaking criteria, defined by the tolerance is reached. This function requires an initial guess, provided by rProjectionPointLocalCoordinates. This function can be a very costly operation. More...

virtual int	ClosestPoint (const CoordinatesArrayType &rPointGlobalCoordinates, CoordinatesArrayType &rClosestPointGlobalCoordinates, CoordinatesArrayType &rClosestPointLocalCoordinates, const double Tolerance=std::numeric_limits< double >::epsilon()) const
	Returns all coordinates of the closest point on the geometry given to an arbitrary point in global coordinates. The basic concept is to first do a projection towards this geometry and second checking if the projection was successfull or if no point on the geometry was found. More...

virtual int	ClosestPoint (const CoordinatesArrayType &rPointGlobalCoordinates, CoordinatesArrayType &rClosestPointGlobalCoordinates, const double Tolerance=std::numeric_limits< double >::epsilon()) const
	Returns global coordinates of the closest point on the geometry given to an arbitrary point in global coordinates. The basic concept is to first do a projection towards this geometry and second checking if the projection was successfull or if no point on the geometry was found. More...

virtual int	ClosestPointLocalCoordinates (const CoordinatesArrayType &rPointGlobalCoordinates, CoordinatesArrayType &rClosestPointLocalCoordinates, const double Tolerance=std::numeric_limits< double >::epsilon()) const
	Returns local coordinates of the closest point on the geometry given to an arbitrary point in global coordinates. The basic concept is to first do a projection towards this geometry and second checking if the projection was successfull or if no point on the geometry was found. More...

virtual int	ClosestPointLocalToLocalSpace (const CoordinatesArrayType &rPointLocalCoordinates, CoordinatesArrayType &rClosestPointLocalCoordinates, const double Tolerance=std::numeric_limits< double >::epsilon()) const
	Calculates the closes point projection This method calculates the closest point projection of a point in local space coordinates. More...

virtual int	ClosestPointGlobalToLocalSpace (const CoordinatesArrayType &rPointGlobalCoordinates, CoordinatesArrayType &rClosestPointLocalCoordinates, const double Tolerance=std::numeric_limits< double >::epsilon()) const
	Calculates the closes point projection This method calculates the closest point projection of a point in global space coordinates. More...

virtual double	CalculateDistance (const CoordinatesArrayType &rPointGlobalCoordinates, const double Tolerance=std::numeric_limits< double >::epsilon()) const
	Computes the distance between an point in global coordinates and the closest point of this geometry. If projection fails, double::max will be returned. More...

JacobiansType &	Jacobian (JacobiansType &rResult) const

virtual JacobiansType &	Jacobian (JacobiansType &rResult, IntegrationMethod ThisMethod) const

virtual JacobiansType &	Jacobian (JacobiansType &rResult, IntegrationMethod ThisMethod, Matrix &DeltaPosition) const

Matrix &	Jacobian (Matrix &rResult, IndexType IntegrationPointIndex) const

virtual Matrix &	Jacobian (Matrix &rResult, IndexType IntegrationPointIndex, IntegrationMethod ThisMethod) const

virtual Matrix &	Jacobian (Matrix &rResult, IndexType IntegrationPointIndex, IntegrationMethod ThisMethod, const Matrix &rDeltaPosition) const

virtual Matrix &	Jacobian (Matrix &rResult, const CoordinatesArrayType &rCoordinates, Matrix &rDeltaPosition) const

Vector &	DeterminantOfJacobian (Vector &rResult) const

virtual Vector &	DeterminantOfJacobian (Vector &rResult, IntegrationMethod ThisMethod) const

double	DeterminantOfJacobian (IndexType IntegrationPointIndex) const

virtual double	DeterminantOfJacobian (IndexType IntegrationPointIndex, IntegrationMethod ThisMethod) const

virtual double	DeterminantOfJacobian (const CoordinatesArrayType &rPoint) const

JacobiansType &	InverseOfJacobian (JacobiansType &rResult) const

virtual JacobiansType &	InverseOfJacobian (JacobiansType &rResult, IntegrationMethod ThisMethod) const

Matrix &	InverseOfJacobian (Matrix &rResult, IndexType IntegrationPointIndex) const

virtual Matrix &	InverseOfJacobian (Matrix &rResult, IndexType IntegrationPointIndex, IntegrationMethod ThisMethod) const

virtual Matrix &	InverseOfJacobian (Matrix &rResult, const CoordinatesArrayType &rCoordinates) const

const Matrix &	ShapeFunctionsValues () const

const Matrix &	ShapeFunctionsValues (IntegrationMethod ThisMethod) const

double	ShapeFunctionValue (IndexType IntegrationPointIndex, IndexType ShapeFunctionIndex) const

double	ShapeFunctionValue (IndexType IntegrationPointIndex, IndexType ShapeFunctionIndex, IntegrationMethod ThisMethod) const

virtual double	ShapeFunctionValue (IndexType ShapeFunctionIndex, const CoordinatesArrayType &rCoordinates) const

const ShapeFunctionsGradientsType &	ShapeFunctionsLocalGradients () const

const ShapeFunctionsGradientsType &	ShapeFunctionsLocalGradients (IntegrationMethod ThisMethod) const

const Matrix &	ShapeFunctionLocalGradient (IndexType IntegrationPointIndex) const

const Matrix &	ShapeFunctionLocalGradient (IndexType IntegrationPointIndex, IntegrationMethod ThisMethod) const

const Matrix &	ShapeFunctionLocalGradient (IndexType IntegrationPointIndex, IndexType ShapeFunctionIndex, IntegrationMethod ThisMethod) const

const Matrix &	ShapeFunctionDerivatives (IndexType DerivativeOrderIndex, IndexType IntegrationPointIndex, IntegrationMethod ThisMethod) const

const Matrix &	ShapeFunctionDerivatives (IndexType DerivativeOrderIndex, IndexType IntegrationPointIndex) const

virtual ShapeFunctionsSecondDerivativesType &	ShapeFunctionsSecondDerivatives (ShapeFunctionsSecondDerivativesType &rResult, const CoordinatesArrayType &rPoint) const

virtual ShapeFunctionsThirdDerivativesType &	ShapeFunctionsThirdDerivatives (ShapeFunctionsThirdDerivativesType &rResult, const CoordinatesArrayType &rPoint) const

void	ShapeFunctionsIntegrationPointsGradients (ShapeFunctionsGradientsType &rResult) const

virtual void	ShapeFunctionsIntegrationPointsGradients (ShapeFunctionsGradientsType &rResult, IntegrationMethod ThisMethod) const

virtual void	ShapeFunctionsIntegrationPointsGradients (ShapeFunctionsGradientsType &rResult, Vector &rDeterminantsOfJacobian, IntegrationMethod ThisMethod) const

virtual void	ShapeFunctionsIntegrationPointsGradients (ShapeFunctionsGradientsType &rResult, Vector &rDeterminantsOfJacobian, IntegrationMethod ThisMethod, Matrix &ShapeFunctionsIntegrationPointsValues) const

virtual int	Check () const

virtual std::string	Name () const
	Returns name. More...

virtual void	PrintName (std::ostream &rOstream) const
	Print name. More...

	KRATOS_CLASS_POINTER_DEFINITION (Geometry)
	Pointer definition of Geometry. More...

bool	empty () const

bool	HasIntegrationMethod (IntegrationMethod ThisMethod) const

IntegrationMethod	GetDefaultIntegrationMethod () const

virtual bool	IsSymmetric () const

IndexType const &	Id () const
	Id of this Geometry. More...

bool	IsIdGeneratedFromString ()
	Returns if id was generated from a geometry name. More...

bool	IsIdSelfAssigned ()
	Returns if id was generated by itself. More...

void	SetId (const IndexType Id)
	Sets Id of this Geometry. More...

void	SetId (const std::string &rName)
	Sets Id with the use of the name of this geometry. More...

Type Definitions
typedef TContainerPointType::value_type	NodeType

typedef Geometry< NodeType >	BaseType

typedef BaseType::IndexType	IndexType

typedef BaseType::SizeType	SizeType

typedef BaseType::CoordinatesArrayType	CoordinatesArrayType

typedef BaseType::PointsArrayType	PointsArrayType

typedef BaseType::GeometriesArrayType	GeometriesArrayType

typedef BaseType::IntegrationPointsArrayType	IntegrationPointsArrayType

typedef GeometryShapeFunctionContainer< GeometryData::IntegrationMethod >::IntegrationPointsContainerType	IntegrationPointsContainerType

typedef GeometryShapeFunctionContainer< GeometryData::IntegrationMethod >::ShapeFunctionsValuesContainerType	ShapeFunctionsValuesContainerType

typedef GeometryShapeFunctionContainer< GeometryData::IntegrationMethod >::ShapeFunctionsLocalGradientsContainerType	ShapeFunctionsLocalGradientsContainerType

	KRATOS_CLASS_POINTER_DEFINITION (NurbsVolumeGeometry)
	Pointer of NurbsVolumeGeometry. More...

const TPointType::Pointer	pGetPoint (const int Index) const

TPointType::Pointer	pGetPoint (const int Index)

TPointType const &	GetPoint (const int Index) const

TPointType &	GetPoint (const int Index)

Private Serialization
class	Serializer

Additional Inherited Members
Public Types inherited from Kratos::Geometry< TContainerPointType::value_type >
enum class	QualityCriteria

enum class	LumpingMethods
	This defines the different methods to compute the lumping methods. More...

typedef Geometry< TContainerPointType::value_type >	GeometryType
	This Geometry type. More...

typedef PointerVector< TContainerPointType::value_type >	PointsArrayType

typedef GeometryData::IntegrationMethod	IntegrationMethod

typedef PointerVector< GeometryType >	GeometriesArrayType

typedef TContainerPointType::value_type	PointType

typedef std::size_t	IndexType

typedef std::size_t	SizeType

typedef PointType::CoordinatesArrayType	CoordinatesArrayType

typedef IntegrationPoint< 3 >	IntegrationPointType

typedef std::vector< IntegrationPointType >	IntegrationPointsArrayType

typedef std::array< IntegrationPointsArrayType, static_cast< int >GeometryData::IntegrationMethod::NumberOfIntegrationMethods)>	IntegrationPointsContainerType

typedef std::array< Matrix, static_cast< int >GeometryData::IntegrationMethod::NumberOfIntegrationMethods)>	ShapeFunctionsValuesContainerType

typedef GeometryData::ShapeFunctionsLocalGradientsContainerType	ShapeFunctionsLocalGradientsContainerType

typedef DenseVector< Matrix >	JacobiansType

typedef GeometryData::ShapeFunctionsGradientsType	ShapeFunctionsGradientsType

typedef GeometryData::ShapeFunctionsSecondDerivativesType	ShapeFunctionsSecondDerivativesType

typedef GeometryData::ShapeFunctionsThirdDerivativesType	ShapeFunctionsThirdDerivativesType

typedef DenseVector< double >	NormalType

typedef PointType::Pointer	PointPointerType
	data type stores in this container. More...

typedef const PointPointerType	ConstPointPointerType

typedef TContainerPointType::value_type &	PointReferenceType

typedef const TContainerPointType::value_type &	ConstPointReferenceType

typedef std::vector< PointPointerType >	PointPointerContainerType

typedef PointsArrayType::iterator	iterator
	PointsArrayType typedefs. More...

typedef PointsArrayType::const_iterator	const_iterator

typedef PointsArrayType::ptr_iterator	ptr_iterator

typedef PointsArrayType::ptr_const_iterator	ptr_const_iterator

typedef PointsArrayType::difference_type	difference_type

Static Public Member Functions inherited from Kratos::Geometry< TContainerPointType::value_type >
static bool	HasSameType (const GeometryType &rLHS, const GeometryType &rRHS)
	Checks if two GeometryType have the same type. More...

static bool	HasSameType (const GeometryType rLHS, const GeometryType rRHS)
	Checks if two GeometryType have the same type (pointer version) More...

static bool	HasSameGeometryType (const GeometryType &rLHS, const GeometryType &rRHS)
	Checks if two GeometryType have the same geometry type. More...

static bool	HasSameGeometryType (const GeometryType rLHS, const GeometryType rRHS)
	Checks if two GeometryType have the same geometry type (pointer version) More...

static bool	IsSame (const GeometryType &rLHS, const GeometryType &rRHS)
	Checks if two GeometryType are the same. More...

static bool	IsSame (const GeometryType rLHS, const GeometryType rRHS)
	Checks if two GeometryType are the same (pointer version) More...

static IndexType	GenerateId (const std::string &rName)
	Gets the corresponding hash-Id to a string name. More...

Static Public Attributes inherited from Kratos::Geometry< TContainerPointType::value_type >
static constexpr IndexType	BACKGROUND_GEOMETRY_INDEX

Protected Member Functions inherited from Kratos::Geometry< TContainerPointType::value_type >
void	SetGeometryData (GeometryData const *pGeometryData)
	updates the pointer to GeometryData of the respective geometry. More...

virtual double	InradiusToCircumradiusQuality () const
	Quality functions. More...

virtual double	AreaToEdgeLengthRatio () const

virtual double	ShortestAltitudeToEdgeLengthRatio () const

virtual double	InradiusToLongestEdgeQuality () const

virtual double	ShortestToLongestEdgeQuality () const

virtual double	RegularityQuality () const

virtual double	VolumeToSurfaceAreaQuality () const

virtual double	VolumeToEdgeLengthQuality () const

virtual double	VolumeToAverageEdgeLength () const

virtual double	VolumeToRMSEdgeLength () const

virtual double	MinDihedralAngle () const

virtual double	MaxDihedralAngle () const

virtual double	MinSolidAngle () const

bool	AllPointsAreValid () const
	Checks if the geometry points are valid Checks if the geometry points are valid from the pointer value Points are not valid when the pointer value is null. More...

Detailed Description

template<class TContainerPointType>
class Kratos::NurbsVolumeGeometry< TContainerPointType >

A volume geometry based on a full 3-dimensional BSpline tensor product.

Weights are not yet implemented. Therefore no NURBS, but only BSplines are constructed.

Author: Manuel Messmer

Member Typedef Documentation

◆ BaseType

template<class TContainerPointType >

typedef Geometry<NodeType> Kratos::NurbsVolumeGeometry< TContainerPointType >::BaseType

◆ CoordinatesArrayType

template<class TContainerPointType >

typedef BaseType::CoordinatesArrayType Kratos::NurbsVolumeGeometry< TContainerPointType >::CoordinatesArrayType

◆ GeometriesArrayType

template<class TContainerPointType >

typedef BaseType::GeometriesArrayType Kratos::NurbsVolumeGeometry< TContainerPointType >::GeometriesArrayType

◆ IndexType

template<class TContainerPointType >

typedef BaseType::IndexType Kratos::NurbsVolumeGeometry< TContainerPointType >::IndexType

◆ IntegrationPointsArrayType

template<class TContainerPointType >

typedef BaseType::IntegrationPointsArrayType Kratos::NurbsVolumeGeometry< TContainerPointType >::IntegrationPointsArrayType

◆ IntegrationPointsContainerType

template<class TContainerPointType >

typedef GeometryShapeFunctionContainer<GeometryData::IntegrationMethod>::IntegrationPointsContainerType Kratos::NurbsVolumeGeometry< TContainerPointType >::IntegrationPointsContainerType

◆ NodeType

template<class TContainerPointType >

typedef TContainerPointType::value_type Kratos::NurbsVolumeGeometry< TContainerPointType >::NodeType

◆ PointsArrayType

template<class TContainerPointType >

typedef BaseType::PointsArrayType Kratos::NurbsVolumeGeometry< TContainerPointType >::PointsArrayType

◆ ShapeFunctionsLocalGradientsContainerType

template<class TContainerPointType >

typedef GeometryShapeFunctionContainer<GeometryData::IntegrationMethod>::ShapeFunctionsLocalGradientsContainerType Kratos::NurbsVolumeGeometry< TContainerPointType >::ShapeFunctionsLocalGradientsContainerType

◆ ShapeFunctionsValuesContainerType

template<class TContainerPointType >

typedef GeometryShapeFunctionContainer<GeometryData::IntegrationMethod>::ShapeFunctionsValuesContainerType Kratos::NurbsVolumeGeometry< TContainerPointType >::ShapeFunctionsValuesContainerType

◆ SizeType

template<class TContainerPointType >

typedef BaseType::SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::SizeType

Constructor & Destructor Documentation

◆ NurbsVolumeGeometry() [1/4]

template<class TContainerPointType >

Kratos::NurbsVolumeGeometry< TContainerPointType >::NurbsVolumeGeometry	(	const PointsArrayType &	rThisPoints,
		const SizeType	PolynomialDegreeU,
		const SizeType	PolynomialDegreeV,
		const SizeType	PolynomialDegreeW,
		const Vector &	rKnotsU,
		const Vector &	rKnotsV,
		const Vector &	rKnotsW
	)

inline

Conctructor for B-Spline volumes.

◆ NurbsVolumeGeometry() [2/4]

template<class TContainerPointType >

Kratos::NurbsVolumeGeometry< TContainerPointType >::NurbsVolumeGeometry ( const PointsArrayType & ThisPoints )

inlineexplicit

Attention: Weigths are not yet implemented! Conctructor for NURBS volumes

◆ NurbsVolumeGeometry() [3/4]

template<class TContainerPointType >

Kratos::NurbsVolumeGeometry< TContainerPointType >::NurbsVolumeGeometry ( NurbsVolumeGeometry< TContainerPointType > const & rOther )

inline

Copy constructor.

◆ NurbsVolumeGeometry() [4/4]

template<class TContainerPointType >

template<class TOtherContainerPointType >

Kratos::NurbsVolumeGeometry< TContainerPointType >::NurbsVolumeGeometry ( NurbsVolumeGeometry< TOtherContainerPointType > const & rOther )

inline

Copy constructor from a geometry with different point type.

◆ ~NurbsVolumeGeometry()

template<class TContainerPointType >

Kratos::NurbsVolumeGeometry< TContainerPointType >::~NurbsVolumeGeometry ( )

overridedefault

Destructor.

Member Function Documentation

◆ Create()

template<class TContainerPointType >

BaseType::Pointer Kratos::NurbsVolumeGeometry< TContainerPointType >::Create ( PointsArrayType const & ThisPoints ) const

inlineoverride

◆ CreateIntegrationPoints() [1/2]

template<class TContainerPointType >

void Kratos::NurbsVolumeGeometry< TContainerPointType >::CreateIntegrationPoints	(	IntegrationPointsArrayType &	rIntegrationPoints,
		IntegrationInfo &	rIntegrationInfo
	)		const

inlineoverridevirtual

Creates integration points according to the polynomial degrees.

Returns: integration points.

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ CreateIntegrationPoints() [2/2]

template<class TContainerPointType >

void Kratos::NurbsVolumeGeometry< TContainerPointType >::CreateIntegrationPoints	(	IntegrationPointsArrayType &	rIntegrationPoints,
		SizeType	NumPointsPerSpanU,
		SizeType	NumPointsPerSpanV,
		SizeType	NumPointsPerSpanW
	)		const

inline

Creates integration points according to the input parameter.

Parameters

return	integration points.
points	Number of points in u direction per span.
points	Number of points in v direction per span.
points	Number of points in w direction per span.

◆ CreateQuadraturePointGeometries() [1/2]

template<class TContainerPointType >

void Kratos::NurbsVolumeGeometry< TContainerPointType >::CreateQuadraturePointGeometries	(	GeometriesArrayType &	rResultGeometries,
		IndexType	NumberOfShapeFunctionDerivatives,
		const IntegrationPointsArrayType &	rIntegrationPoints,
		IntegrationInfo &	rIntegrationInfo
	)

inlineoverridevirtual

Creates a list of quadrature point geometries. from a list of integration points.

Parameters

rResultGeometries	List of quadrature point geometries.
rIntegrationPoints	List of provided integration points.
NumberOfShapeFunctionDerivatives	the number of evaluated derivatives of shape functions at the quadrature point geometries.
rIntegrationInfo.

See also: quadrature_point_geometry.h

Get Shape Functions.

Get List of Control Points.

Get List of Control Points

Get Shape Functions N

Get Shape Function Derivatives DN_De, ...

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ CreateQuadraturePointGeometries() [2/2]

template<class TContainerPointType >

void Kratos::NurbsVolumeGeometry< TContainerPointType >::CreateQuadraturePointGeometries	(	GeometriesArrayType &	rResultGeometries,
		IndexType	NumberOfShapeFunctionDerivatives,
		IntegrationInfo &	rIntegrationInfo
	)

inlineoverridevirtual

Creates a list of quadrature point geometries from a list of integration points.

Parameters

rResultGeometries	List of quadrature point geometries.
NumberOfShapeFunctionDerivatives	the number of evaluated derivatives of shape functions at the quadrature point geometries.
rIntegrationInfo.

See also: quadrature_point_geometry.h

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ DomainIntervalU()

template<class TContainerPointType >

NurbsInterval Kratos::NurbsVolumeGeometry< TContainerPointType >::DomainIntervalU ( ) const

inline

Provides the natural boundaries of the NURBS/B-Spline volume.

Returns: Domain interval.

◆ DomainIntervalV()

template<class TContainerPointType >

NurbsInterval Kratos::NurbsVolumeGeometry< TContainerPointType >::DomainIntervalV ( ) const

inline

Provides the natural boundaries of the NURBS/B-Spline volume.

Returns: Domain interval.

◆ DomainIntervalW()

template<class TContainerPointType >

NurbsInterval Kratos::NurbsVolumeGeometry< TContainerPointType >::DomainIntervalW ( ) const

inline

Provides the natural boundaries of the NURBS/B-Spline volume.

Returns: Domain interval.

◆ GetDefaultIntegrationInfo()

template<class TContainerPointType >

IntegrationInfo Kratos::NurbsVolumeGeometry< TContainerPointType >::GetDefaultIntegrationInfo ( ) const

inlineoverridevirtual

Provides the default integration dependent on the polynomial degree of the underlying surface.

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ GetGeometryFamily()

template<class TContainerPointType >

GeometryData::KratosGeometryFamily Kratos::NurbsVolumeGeometry< TContainerPointType >::GetGeometryFamily ( ) const

inlineoverridevirtual

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ GetGeometryType()

template<class TContainerPointType >

GeometryData::KratosGeometryType Kratos::NurbsVolumeGeometry< TContainerPointType >::GetGeometryType ( ) const

inlineoverridevirtual

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ GetPoint() [1/2]

template<class TContainerPointType >

TPointType& Kratos::Geometry< TPointType >::GetPoint

inline

An access method to the i'th points stored in this geometry.

Returns: A counted pointer to i'th point of geometry.

◆ GetPoint() [2/2]

template<class TContainerPointType >

TPointType const& Kratos::Geometry< TPointType >::GetPoint

inline

A constant access method to the i'th points stored in this geometry.

Returns: A constant counted pointer to i'th point of geometry.

◆ GlobalCoordinates()

template<class TContainerPointType >

CoordinatesArrayType& Kratos::NurbsVolumeGeometry< TContainerPointType >::GlobalCoordinates	(	CoordinatesArrayType &	rResult,
		const CoordinatesArrayType &	rLocalCoordinates
	)		const

inlineoverridevirtual

This method maps from local space to working space.

Parameters

LocalCoordinates The local coordinates in dimension space.

Returns: array_1d<double, 3> with the coordinates in working space.

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ GlobalSpaceDerivatives()

template<class TContainerPointType >

void Kratos::NurbsVolumeGeometry< TContainerPointType >::GlobalSpaceDerivatives	(	std::vector< CoordinatesArrayType > &	rGlobalSpaceDerivatives,
		const CoordinatesArrayType &	rLocalCoordinates,
		const SizeType	DerivativeOrder
	)		const

inlineoverridevirtual

This method maps from local space to working space and computes the derivatives at the local space parameter in the dimension of the object.

Parameters

LocalCoordinates	The local coordinates to be evaluated.
Derivative	Number of computed derivatives.

Returns: std::vector<array_1d<double, 3>> with the coordinates and derivatives in working space.

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ Info()

template<class TContainerPointType >

std::string Kratos::NurbsVolumeGeometry< TContainerPointType >::Info ( ) const

inlineoverridevirtual

Turn back information as a string.

Returns: String contains information about this geometry.

See also: PrintData(); PrintInfo()

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ IsRational()

template<class TContainerPointType >

bool Kratos::NurbsVolumeGeometry< TContainerPointType >::IsRational ( ) const

inline

Checks if shape functions are rational or not.

Returns: False. Weights are not yet considered.

◆ Jacobian()

template<class TContainerPointType >

Matrix& Kratos::NurbsVolumeGeometry< TContainerPointType >::Jacobian	(	Matrix &	rResult,
		const CoordinatesArrayType &	rCoordinates
	)		const

inlineoverridevirtual

Computes jacobian matrix at the given coordinates.

Parameters

rCoordinates Coordinates to be evaluated.

Returns: Matrix of double which is jacobian matrix \( J \) in given point.

Todo:: Refactor such that addional 'ComputeBSplineShapeFunctionValues'-call can be omitted. Here it is only called to find the correct knotspans and to set the shape_function_member variables 'mFirstNonzeroControlPointU,-V,-W'.

Note: This function is only required to compute e.g. the volume of the geometry. During an IGA-Analysis the corresponding function of the base class is called.

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ KnotSpanIntervalsU()

template<class TContainerPointType >

std::vector<NurbsInterval> Kratos::NurbsVolumeGeometry< TContainerPointType >::KnotSpanIntervalsU ( ) const

inline

Provides all knot span intervals of the volume in u-direction.

Returns: Vector of knot span intervals.

◆ KnotSpanIntervalsV()

template<class TContainerPointType >

std::vector<NurbsInterval> Kratos::NurbsVolumeGeometry< TContainerPointType >::KnotSpanIntervalsV ( ) const

inline

Provides all knot span intervals of the volume in v-direction.

Returns: Vector of knot span intervals.

◆ KnotSpanIntervalsW()

template<class TContainerPointType >

std::vector<NurbsInterval> Kratos::NurbsVolumeGeometry< TContainerPointType >::KnotSpanIntervalsW ( ) const

inline

Provides all knot span intervals of the volume in w-direction.

Returns: Vector of knot span intervals.

◆ KnotsU()

template<class TContainerPointType >

const Vector& Kratos::NurbsVolumeGeometry< TContainerPointType >::KnotsU ( ) const

inline

Get Knot vector in u-direction.

This vector is defined to have a multiplicity of p at the beginning and end (NOT: p + 1).

Returns: knot vector.

◆ KnotsV()

template<class TContainerPointType >

const Vector& Kratos::NurbsVolumeGeometry< TContainerPointType >::KnotsV ( ) const

inline

Get Knot vector in v-direction.

This vector is defined to have a multiplicity of p at the beginning and end (NOT: p + 1).

Returns: knot vector.

◆ KnotsW()

template<class TContainerPointType >

const Vector& Kratos::NurbsVolumeGeometry< TContainerPointType >::KnotsW ( ) const

inline

Get Knot vector in w-direction.

This vector is defined to have a multiplicity of p at the beginning and end (NOT: p + 1).

Returns: knot vector.

◆ KRATOS_CLASS_POINTER_DEFINITION()

template<class TContainerPointType >

Kratos::NurbsVolumeGeometry< TContainerPointType >::KRATOS_CLASS_POINTER_DEFINITION ( NurbsVolumeGeometry< TContainerPointType > )

Pointer of NurbsVolumeGeometry.

◆ NumberOfControlPointsU()

template<class TContainerPointType >

SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::NumberOfControlPointsU ( ) const

inline

Attention weights are not yet implemented.

Returns: Gives the number of control points in u-direction.

◆ NumberOfControlPointsV()

template<class TContainerPointType >

SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::NumberOfControlPointsV ( ) const

inline

Returns: Gives the number of control points in v-direction.

◆ NumberOfControlPointsW()

template<class TContainerPointType >

SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::NumberOfControlPointsW ( ) const

inline

Returns: Gives the number of control points in w-direction.

◆ NumberOfKnotSpans()

template<class TContainerPointType >

SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::NumberOfKnotSpans ( IndexType DirectionIndex ) const

inline

Returns the number of spans in DirectionIndex=0:U, DirectionIndex=1:V and DirectionIndex=2 (which are larger than 0).

◆ NumberOfKnotsU()

template<class TContainerPointType >

SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::NumberOfKnotsU ( ) const

inline

Returns: Gives the size of the knot vector in u-direction.

◆ NumberOfKnotsV()

template<class TContainerPointType >

SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::NumberOfKnotsV ( ) const

inline

Returns: Gives the size of the knot vector in v-direction.

◆ NumberOfKnotsW()

template<class TContainerPointType >

SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::NumberOfKnotsW ( ) const

inline

Returns: Gives the size of the knot vector in w-direction.

◆ operator=() [1/2]

template<class TContainerPointType >

NurbsVolumeGeometry& Kratos::NurbsVolumeGeometry< TContainerPointType >::operator= ( const NurbsVolumeGeometry< TContainerPointType > & rOther )

inline

Assignment operator.

◆ operator=() [2/2]

template<class TContainerPointType >

template<class TOtherContainerPointType >

NurbsVolumeGeometry& Kratos::NurbsVolumeGeometry< TContainerPointType >::operator= ( NurbsVolumeGeometry< TOtherContainerPointType > const & rOther )

inline

Assignment operator for geometries with different point type.

◆ pGetPoint() [1/2]

template<class TContainerPointType >

TPointType::Pointer Kratos::Geometry< TPointType >::pGetPoint

inline

An access method to the i'th points stored in this geometry.

Returns: A counted pointer to i'th point of geometry.

◆ pGetPoint() [2/2]

template<class TContainerPointType >

const TPointType::Pointer Kratos::Geometry< TPointType >::pGetPoint

inline

A constant access method to the i'th points stored in this geometry.

Returns: A constant counted pointer to i'th point of geometry.

◆ PointsNumberInDirection()

template<class TContainerPointType >

SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::PointsNumberInDirection ( IndexType LocalDirectionIndex ) const

inlineoverridevirtual

Returns number of points per direction.

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ PolynomialDegree()

template<class TContainerPointType >

SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::PolynomialDegree ( IndexType LocalDirectionIndex ) const

inlineoverridevirtual

Return polynomial degree of the volume in direction 0, 1, 2.

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ PolynomialDegreeU()

template<class TContainerPointType >

SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::PolynomialDegreeU ( ) const

inline

Returns: returns the polynomial degree 'p' in u direction.

◆ PolynomialDegreeV()

template<class TContainerPointType >

SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::PolynomialDegreeV ( ) const

inline

Returns: returns the polynomial degree 'p' in v direction.

◆ PolynomialDegreeW()

template<class TContainerPointType >

SizeType Kratos::NurbsVolumeGeometry< TContainerPointType >::PolynomialDegreeW ( ) const

inline

Returns: returns the polynomial degree 'p' in w direction.

◆ PrintData()

template<class TContainerPointType >

void Kratos::NurbsVolumeGeometry< TContainerPointType >::PrintData ( std::ostream & rOStream ) const

inlineoverridevirtual

Print geometry's data into given stream.

Prints Polynomial degree and number of knots in each direction.

Parameters

rOStream Stream to print into.

See also: PrintInfo(); Info()

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ PrintInfo()

template<class TContainerPointType >

void Kratos::NurbsVolumeGeometry< TContainerPointType >::PrintInfo ( std::ostream & rOStream ) const

inlineoverridevirtual

Print information about this object.

Parameters

rOStream Stream to print into.

See also: PrintData(); Info()

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ ProjectionPointGlobalToLocalSpace()

template<class TContainerPointType >

int Kratos::NurbsVolumeGeometry< TContainerPointType >::ProjectionPointGlobalToLocalSpace	(	const CoordinatesArrayType &	rPointGlobalCoordinates,
		CoordinatesArrayType &	rProjectedPointLocalCoordinates,
		const double	Tolerance = `std::numeric_limits<double>::epsilon()`
	)		const

inlineoverridevirtual

Returns local coordinates in return for a point in physical coordinates. This function assumes the initial geometry to be a regular grid. Only linear mapping is applied.

Parameters

rPointGlobalCoordinates	the point to which the projection has to be found.
rProjectedPointLocalCoordinates	the location of the projection in local coordinates.
Tolerance	not used.

Returns: This functions always returns 1 (successful projection). Since no Netwon-Raphson is performed, the projection is always considered as successful.

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ SetInternals()

template<class TContainerPointType >

void Kratos::NurbsVolumeGeometry< TContainerPointType >::SetInternals	(	const PointsArrayType &	rThisPoints,
		const SizeType	PolynomialDegreeU,
		const SizeType	PolynomialDegreeV,
		const SizeType	PolynomialDegreeW,
		const Vector &	rKnotsU,
		const Vector &	rKnotsV,
		const Vector &	rKnotsW
	)

inline

◆ ShapeFunctionsLocalGradients()

template<class TContainerPointType >

Matrix& Kratos::NurbsVolumeGeometry< TContainerPointType >::ShapeFunctionsLocalGradients	(	Matrix &	rResult,
		const CoordinatesArrayType &	rCoordinates
	)		const

inlineoverridevirtual

Computes the first derivatives in the local parameter space.

The derivatives are only computed for nonzero control points.

Parameters

rCoordinates Coordinates to be evaluated.

Returns: Matrix that holds the derivatives. Matrix(CP-Index,SpaceDirection).

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ ShapeFunctionsValues()

template<class TContainerPointType >

Vector& Kratos::NurbsVolumeGeometry< TContainerPointType >::ShapeFunctionsValues	(	Vector &	rResult,
		const CoordinatesArrayType &	rCoordinates
	)		const

inlineoverridevirtual

Computes the shape function values in the local parameter space.

The values are only computed for nonzero control points.

Parameters

rCoordinates Coordinates to be evaluated.

Returns: Vector that holds the values. Vector(CP-Index).

Reimplemented from Kratos::Geometry< TContainerPointType::value_type >.

◆ Spans()

template<class TContainerPointType >

void Kratos::NurbsVolumeGeometry< TContainerPointType >::Spans	(	std::vector< double > &	rSpans,
		IndexType	DirectionIndex
	)		const

inline

Provides all knot spans along the given direction.

Parameters

return	vector of span intervals.
index	of direction: 0: U; 1: V; 2: W;

Friends And Related Function Documentation

◆ Serializer

template<class TContainerPointType >

friend class Serializer

friend

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

/home/runner/work/Documentation/Documentation/master/kratos/geometries/nurbs_volume_geometry.h

Public Member Functions

Type Definitions

Private Serialization

Additional Inherited Members

Detailed Description

template<class TContainerPointType> class Kratos::NurbsVolumeGeometry< TContainerPointType >

Member Typedef Documentation

◆ BaseType

◆ CoordinatesArrayType

◆ GeometriesArrayType

◆ IndexType

◆ IntegrationPointsArrayType

◆ IntegrationPointsContainerType

◆ NodeType

◆ PointsArrayType

◆ ShapeFunctionsLocalGradientsContainerType

◆ ShapeFunctionsValuesContainerType

◆ SizeType

Constructor & Destructor Documentation

◆ NurbsVolumeGeometry() [1/4]

◆ NurbsVolumeGeometry() [2/4]

◆ NurbsVolumeGeometry() [3/4]

◆ NurbsVolumeGeometry() [4/4]

◆ ~NurbsVolumeGeometry()

Member Function Documentation

◆ Create()

◆ CreateIntegrationPoints() [1/2]

◆ CreateIntegrationPoints() [2/2]

◆ CreateQuadraturePointGeometries() [1/2]

◆ CreateQuadraturePointGeometries() [2/2]

◆ DomainIntervalU()

◆ DomainIntervalV()

◆ DomainIntervalW()

◆ GetDefaultIntegrationInfo()

◆ GetGeometryFamily()

◆ GetGeometryType()

◆ GetPoint() [1/2]

◆ GetPoint() [2/2]

◆ GlobalCoordinates()

◆ GlobalSpaceDerivatives()

◆ Info()

◆ IsRational()

◆ Jacobian()

◆ KnotSpanIntervalsU()

◆ KnotSpanIntervalsV()

◆ KnotSpanIntervalsW()

◆ KnotsU()

◆ KnotsV()

◆ KnotsW()

◆ KRATOS_CLASS_POINTER_DEFINITION()

◆ NumberOfControlPointsU()

◆ NumberOfControlPointsV()

◆ NumberOfControlPointsW()

◆ NumberOfKnotSpans()

◆ NumberOfKnotsU()

◆ NumberOfKnotsV()

◆ NumberOfKnotsW()

◆ operator=() [1/2]

◆ operator=() [2/2]

◆ pGetPoint() [1/2]

◆ pGetPoint() [2/2]

◆ PointsNumberInDirection()

◆ PolynomialDegree()

◆ PolynomialDegreeU()

◆ PolynomialDegreeV()

◆ PolynomialDegreeW()

◆ PrintData()

◆ PrintInfo()

◆ ProjectionPointGlobalToLocalSpace()

◆ SetInternals()

◆ ShapeFunctionsLocalGradients()

◆ ShapeFunctionsValues()

◆ Spans()

Friends And Related Function Documentation

◆ Serializer

template<class TContainerPointType>
class Kratos::NurbsVolumeGeometry< TContainerPointType >