NeoPZ
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Defines the topology of a Prism. Topology Sides 0 to 7 are vertices, sides 7 to 14 are lines, sides 15 and 19 are triangles, sides 16 to 18 are quadrilaterals and side 20 is the prism. More...
#include <tpzprism.h>
Public Types | |
enum | { NSides, NCornerNodes, Dimension, NFaces, NPermutations } |
Enumerate for topological characteristics. More... | |
Public Member Functions | |
virtual int | ClassId () const override |
Define the class id associated with the class. More... | |
void | Read (TPZStream &buf, void *context) override |
read objects from the stream More... | |
void | Write (TPZStream &buf, int withclassid) const override |
Writes this object to the TPZStream buffer. Include the classid if withclassid = true. More... | |
TPZPrism () | |
Default constructor. More... | |
virtual | ~TPZPrism () |
Default destructor. More... | |
Public Member Functions inherited from TPZSavable | |
TPZSavable () | |
virtual | ~TPZSavable () |
virtual std::list< std::map< std::string, uint64_t > > | VersionHistory () const |
virtual std::pair< std::string, uint64_t > | Version () const |
virtual bool | Compare (TPZSavable *copy, bool override=false) |
Compares the object for identity with the object pointed to, eventually copy the object. More... | |
virtual bool | Compare (TPZSavable *copy, bool override=false) const |
Compares the object for identity with the object pointed to, eventually copy the object. More... | |
Public Member Functions inherited from TPZRegisterClassId | |
template<typename T > | |
TPZRegisterClassId (int(T::*)() const) | |
TPZRegisterClassId ()=default | |
Static Public Member Functions | |
static void | GetSideHDivPermutation (int transformationid, TPZVec< int > &permgather) |
Identifies the permutation of the nodes needed to make neighbouring elements compatible in terms of order of shape functions. More... | |
static constexpr REAL | RefElVolume () |
Volume of the master element. More... | |
static void | ComputeDirections (int side, TPZFMatrix< REAL > &gradx, TPZFMatrix< REAL > &directions, TPZVec< int > &sidevectors) |
static void | GetSideHDivDirections (TPZVec< int > &sides, TPZVec< int > &dir, TPZVec< int > &bilinearounao) |
static void | GetSideHDivDirections (TPZVec< int > &sides, TPZVec< int > &dir, TPZVec< int > &bilinearounao, TPZVec< int > &sidevectors) |
template<class TVar > | |
static void | ComputeHDivDirections (TPZFMatrix< TVar > &gradx, TPZFMatrix< TVar > &directions) |
Compute the directions of the HDiv vectors. More... | |
template<class TVar > | |
static void | ComputeHCurlDirections (TPZFMatrix< TVar > &gradx, TPZFMatrix< TVar > &directions, const TPZVec< int > &transformationIds) |
static int | NBilinearSides () |
About sides of the topological element | |
static int | SideDimension (int side) |
Returns the dimension of the side. More... | |
static void | LowerDimensionSides (int side, TPZStack< int > &smallsides) |
Get all sides with lower dimension on side. More... | |
static void | LowerDimensionSides (int side, TPZStack< int > &smallsides, int DimTarget) |
Get all sides with lower dimension but equal to DimTarget on side. More... | |
static void | HigherDimensionSides (int side, TPZStack< int > &high) |
Returns all sides whose closure contains side. More... | |
static int | NSideNodes (int side) |
Returns the number of nodes (not connectivities) associated with a side. More... | |
static int | SideNodeLocId (int side, int node) |
Returns the local node number of the node "node" along side "side". More... | |
static int | NumSides () |
Returns the number of connects of the element (21) More... | |
static int | NumSides (int dimension) |
Returns the number of connects for a set dimension. More... | |
static int | NContainedSides (int side) |
Returns the number of nodes (not connectivities) associated with a side. More... | |
static int | ContainedSideLocId (int side, int c) |
Returns the local connect number of the connect "c" along side "side". More... | |
static void | Shape (TPZVec< REAL > &loc, TPZFMatrix< REAL > &phi, TPZFMatrix< REAL > &dphi) |
Compute the shape being used to construct the x mapping from local parametric coordinates. More... | |
template<class T > | |
static void | TShape (const TPZVec< T > &loc, TPZFMatrix< T > &phi, TPZFMatrix< T > &dphi) |
Compute the shape being used to construct the x mapping from local parametric coordinates. More... | |
template<class T > | |
static void | BlendFactorForSide (const int &side, const TPZVec< T > &xi, T &blendFactor, TPZVec< T > &corrFactorDxi) |
About points at the parametric spaces | |
static void | CenterPoint (int side, TPZVec< REAL > ¢er) |
Returns the barycentric coordinates in the master element space of the original element. More... | |
static bool | IsInParametricDomain (const TPZVec< REAL > &pt, REAL tol=pztopology::gTolerance) |
Verifies if the parametric point pt is in the element parametric domain. More... | |
static void | RandomPoint (TPZVec< REAL > &pt) |
Generates a random point in the master domain. More... | |
template<class T > | |
static bool | CheckProjectionForSingularity (const int &side, const TPZVec< T > &xiInterior) |
template<class T > | |
static void | MapToSide (int side, TPZVec< T > &InternalPar, TPZVec< T > &SidePar, TPZFMatrix< T > &JacToSide) |
static void | ParametricDomainNodeCoord (int node, TPZVec< REAL > &nodeCoord) |
About type of the topological element | |
static MElementType | Type () |
Returns the type of the element as specified in file pzeltype.h. More... | |
static MElementType | Type (int side) |
Returns the type of the element side as specified in file pzeltype.h. More... | |
About Transformations | |
static TPZTransform | SideToSideTransform (int sidefrom, int sideto) |
Returns the transformation which takes a point from the side sidefrom to the side sideto. More... | |
static TPZTransform | TransformSideToElement (int side) |
Returns the transformation which transform a point from the side to the interior of the element. More... | |
static TPZTransform | TransformElementToSide (int side) |
Returns the transformation which projects a point from the interior of the element to the side. More... | |
static int | GetTransformId (TPZVec< int64_t > &id) |
Method which identifies the transformation based on the IDs of the corner nodes. More... | |
static int | GetTransformId (int side, TPZVec< int64_t > &id) |
Method which identifies the transformation of a side based on the IDs of the corner nodes. More... | |
Static Public Member Functions inherited from TPZSavable | |
static std::set< TPZRestoreClassBase * > & | RestoreClassSet () |
This static function guarantees that the gMap object is available when needed. More... | |
static std::map< int, TPZRestore_t > & | ClassIdMap () |
This static function guarantees that the gMap object is available when needed. More... | |
static std::pair< std::string, uint64_t > | NeoPZVersion () |
static void | Register (TPZRestoreClassBase *restore) |
static void | RegisterClassId (int classid, TPZRestore_t fun) |
static TPZSavable * | CreateInstance (const int &classId) |
Static Protected Attributes | |
Data structure which defines the prism transformations and topology | |
static int | FaceNodes [5][4] |
Nodes over quadrilateral sides (2d - faces). More... | |
static int | SideNodes [9][2] |
Nodes over lines sides (1d) More... | |
static int | ShapeFaceId [5][4] |
Ids of the shape face. More... | |
static int | fPermutations [12][21] |
Valid permutations between nodes. More... | |
Friends | |
void | pztopology::GetPermutation (const int permute, TPZVec< int > &permutation) |
Methods related over numeric integration | |
typedef TPZIntPrism3D | IntruleType |
Typedef to numerical integration rule. More... | |
typedef TPZGraphElPrismMapped | GraphElType |
Typedef to graphical element type. More... | |
static TPZIntPoints * | CreateSideIntegrationRule (int side, int order) |
Create an integration rule over side. More... | |
Defines the topology of a Prism. Topology Sides 0 to 7 are vertices, sides 7 to 14 are lines, sides 15 and 19 are triangles, sides 16 to 18 are quadrilaterals and side 20 is the prism.
Definition at line 34 of file tpzprism.h.
Typedef to graphical element type.
Definition at line 213 of file tpzprism.h.
Typedef to numerical integration rule.
Definition at line 211 of file tpzprism.h.
anonymous enum |
Enumerate for topological characteristics.
Enumerator | |
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NSides | |
NCornerNodes | |
Dimension | |
NFaces | |
NPermutations |
Definition at line 38 of file tpzprism.h.
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inline |
Default constructor.
Definition at line 47 of file tpzprism.h.
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Default destructor.
Definition at line 51 of file tpzprism.h.
References ContainedSideLocId(), dimension, HigherDimensionSides(), LowerDimensionSides(), NContainedSides(), NSideNodes(), NumSides(), SideDimension(), and SideNodeLocId().
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This method calculates the influence (a.k.a. the blend function) of the side side regarding an interior point qsi. It is used by the TPZGeoBlend class.
side | the index of the side |
xi | coordinates of the interior point |
blendFactor | influence (0 <= blendFactor <= 1) |
corrFactorDxi | derivative of the blendFactor in respect to xi |
Definition at line 380 of file tpzprism.cpp.
References DebugStop, pztopology::GetTolerance(), IsInParametricDomain(), LOGPZ_FATAL, PZError, TPZVec< T >::Resize(), TPZVec< T >::size(), and pzgeom::tol.
Referenced by Shape().
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Returns the barycentric coordinates in the master element space of the original element.
Definition at line 588 of file tpzprism.cpp.
References DebugStop, and TPZVec< T >::size().
Referenced by PYBIND11_MODULE(), and Shape().
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This method will check if the projection to a certain side (MapToSide method) is regular, i.e., if the interior point in the parametric domain is not too close to the projection's singularity.
side | the index of the side upon which the interior point will be projected upon |
xiInterior | coordinates of the interior point |
Definition at line 1019 of file tpzprism.cpp.
References DebugStop, fabs, and pztopology::gTolerance.
Referenced by Shape().
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Define the class id associated with the class.
This id has to be unique for all classes A non unique id is flagged at the startup of the program
Implements TPZSavable.
Reimplemented in pzgeom::TPZNodeRep< 6, pztopology::TPZPrism >, pzgeom::TPZNodeRep< 15, pztopology::TPZPrism >, pzgeom::TPZGeoPrism, and pzgeom::TPZQuadraticPrism.
Definition at line 1915 of file tpzprism.cpp.
References Hash().
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Definition at line 1531 of file tpzprism.cpp.
References TPZMatrix< TVar >::Cols(), TPZAxesTools< TVar >::ComputeDetjac(), pztopology::computedirectionsPr(), DebugStop, TPZNumeric::Norm(), TPZNumeric::ProdVetorial(), TPZFMatrix< TVar >::PutVal(), TPZFMatrix< TVar >::Redim(), TPZVec< T >::Resize(), and TPZFMatrix< TVar >::Resize().
Referenced by RefElVolume().
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Compute the directions of the HCurl vectors. These vectors are combined with H1 shape functions to create the HCurl shape functions. They must be computed in the following order:
TVar | REAL or Fad<REAL> |
gradx | the gradient of the element mapping. if computing in normal element, gradx is the identity matrix. |
directions | computed directions |
transformationIds | transformation Ids associated with each side of dim > 0 |
Definition at line 1788 of file tpzprism.cpp.
References TPZFMatrix< TVar >::Transpose().
Referenced by RefElVolume().
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Compute the directions of the HDiv vectors.
Referenced by RefElVolume().
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Returns the local connect number of the connect "c" along side "side".
Definition at line 951 of file tpzprism.cpp.
References PZError.
Referenced by ~TPZPrism().
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Create an integration rule over side.
side | Side to create integration rule |
order | Order of the integration rule to be created |
Definition at line 878 of file tpzprism.cpp.
References PZError.
Referenced by PYBIND11_MODULE(), and Shape().
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Definition at line 1752 of file tpzprism.cpp.
References TPZVec< T >::Resize().
Referenced by RefElVolume().
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Definition at line 1769 of file tpzprism.cpp.
References TPZVec< T >::Resize().
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Identifies the permutation of the nodes needed to make neighbouring elements compatible in terms of order of shape functions.
side | Side for which the permutation is needed |
id | Ids of the corner nodes of the elements |
permgather | Permutation vector in a gather order |
Identifies the permutation of the nodes needed to make neighbouring elements compatible in terms of order of shape functions
side | : side for which the permutation is needed |
id | : ids of the corner nodes of the elements |
permgather | : permutation vector in a gather order |
Definition at line 1420 of file tpzprism.cpp.
References pztopology::computedirectionsPr(), DebugStop, LOGPZ_ERROR, and TPZVec< T >::NElements().
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Method which identifies the transformation based on the IDs of the corner nodes.
id | Indexes of the corner nodes |
Method which identifies the transformation based on the IDs of the corner nodes
id | indexes of the corner nodes |
Definition at line 1340 of file tpzprism.cpp.
References LOGPZ_ERROR.
Referenced by Shape().
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Method which identifies the transformation of a side based on the IDs of the corner nodes.
side | Index of side |
id | Indexes of the corner nodes |
Method which identifies the transformation of a side based on the IDs of the corner nodes
id | indexes of the corner nodes |
Definition at line 1352 of file tpzprism.cpp.
References pztopology::TPZTriangle::GetTransformId(), and pztopology::TPZQuadrilateral::GetTransformId().
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Returns all sides whose closure contains side.
side | smaller dimension side |
high | vector which will contain all sides whose closure contain sidefrom |
Definition at line 536 of file tpzprism.cpp.
References TPZStack< T, NumExtAlloc >::Push(), and PZError.
Referenced by PYBIND11_MODULE(), and ~TPZPrism().
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Verifies if the parametric point pt is in the element parametric domain.
Definition at line 991 of file tpzprism.cpp.
Referenced by BlendFactorForSide(), IsInSideParametricDomain(), PYBIND11_MODULE(), and Shape().
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Get all sides with lower dimension on side.
Definition at line 518 of file tpzprism.cpp.
References TPZStack< T, NumExtAlloc >::Push(), and TPZManVector< T, NumExtAlloc >::Resize().
Referenced by PYBIND11_MODULE(), and ~TPZPrism().
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Get all sides with lower dimension but equal to DimTarget on side.
Definition at line 527 of file tpzprism.cpp.
References TPZStack< T, NumExtAlloc >::Push(), and TPZManVector< T, NumExtAlloc >::Resize().
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Definition at line 1085 of file tpzprism.cpp.
References DebugStop, pztopology::GetTolerance(), TPZMatrix< TVar >::Identity(), TPZVec< T >::Resize(), and TPZFMatrix< TVar >::Resize().
Referenced by Shape().
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Returns the number of bilinear sides to this shape. Needed to compute the number shapefunctions( NConnectShapeF )
Definition at line 512 of file tpzprism.cpp.
References DebugStop.
Referenced by RefElVolume().
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Returns the number of nodes (not connectivities) associated with a side.
Definition at line 941 of file tpzprism.cpp.
Referenced by ~TPZPrism().
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Returns the number of nodes (not connectivities) associated with a side.
Definition at line 552 of file tpzprism.cpp.
Referenced by PYBIND11_MODULE(), and ~TPZPrism().
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Returns the number of connects of the element (21)
Definition at line 936 of file tpzprism.cpp.
Referenced by PYBIND11_MODULE(), and ~TPZPrism().
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Returns the number of connects for a set dimension.
Definition at line 557 of file tpzprism.cpp.
References PZError.
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Definition at line 1276 of file tpzprism.cpp.
References DebugStop, and TPZVec< T >::Resize().
Referenced by Shape().
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Generates a random point in the master domain.
Definition at line 1008 of file tpzprism.cpp.
References val().
Referenced by Shape().
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read objects from the stream
Reimplemented from TPZSavable.
Reimplemented in pzgeom::TPZNodeRep< 6, pztopology::TPZPrism >, and pzgeom::TPZNodeRep< 15, pztopology::TPZPrism >.
Definition at line 1919 of file tpzprism.cpp.
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inlinestatic |
Volume of the master element.
Definition at line 227 of file tpzprism.h.
References pztopology::bilinearounao, ComputeDirections(), ComputeHCurlDirections(), ComputeHDivDirections(), GetSideHDivDirections(), and NBilinearSides().
Referenced by PYBIND11_MODULE().
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inlinestatic |
Compute the shape being used to construct the x mapping from local parametric coordinates.
Definition at line 90 of file tpzprism.h.
References BlendFactorForSide(), CenterPoint(), CheckProjectionForSingularity(), CreateSideIntegrationRule(), GetTransformId(), pztopology::gTolerance, IsInParametricDomain(), MapToSide(), ParametricDomainNodeCoord(), RandomPoint(), SideToSideTransform(), TPZVec< T >::size(), pzgeom::tol, TransformElementToSide(), TransformSideToElement(), TShape(), Type(), and val().
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Returns the dimension of the side.
Definition at line 598 of file tpzprism.cpp.
References PZError.
Referenced by pzrefine::TPZRefPrism::GetTransform(), PYBIND11_MODULE(), and ~TPZPrism().
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Returns the local node number of the node "node" along side "side".
Definition at line 569 of file tpzprism.cpp.
References PZError.
Referenced by PYBIND11_MODULE(), and ~TPZPrism().
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Returns the transformation which takes a point from the side sidefrom to the side sideto.
sidefrom | Side where the point resides |
sideto | Side whose closure contains sidefrom |
Definition at line 606 of file tpzprism.cpp.
References TPZTransform< T >::Mult(), PZError, and TPZTransform< T >::Sum().
Referenced by PYBIND11_MODULE(), and Shape().
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Returns the transformation which projects a point from the interior of the element to the side.
side | Side to which the point will be tranformed (0<=side<=20) |
Definition at line 645 of file tpzprism.cpp.
References TPZTransform< T >::Mult(), PZError, TPZTransform< T >::Sum(), and TPZFMatrix< TVar >::Zero().
Referenced by PYBIND11_MODULE(), and Shape().
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Returns the transformation which transform a point from the side to the interior of the element.
side | Side from which the point will be tranformed (0<=side<=20) |
Definition at line 749 of file tpzprism.cpp.
References TPZTransform< T >::Mult(), PZError, TPZTransform< T >::Sum(), and TPZFMatrix< TVar >::Zero().
Referenced by PYBIND11_MODULE(), and Shape().
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inlinestatic |
Compute the shape being used to construct the x mapping from local parametric coordinates.
Definition at line 348 of file tpzprism.cpp.
Referenced by GetSideShapeFunction(), pzgeom::TPZGeoPrism::GradX(), ProjectBissectionInParametricDomain(), Shape(), and pzgeom::TPZGeoPrism::X().
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Returns the type of the element as specified in file pzeltype.h.
Definition at line 896 of file tpzprism.cpp.
References EPrisma.
Referenced by Shape().
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Returns the type of the element side as specified in file pzeltype.h.
Definition at line 901 of file tpzprism.cpp.
References ENoType, EOned, EPoint, EPrisma, EQuadrilateral, and ETriangle.
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Writes this object to the TPZStream buffer. Include the classid if withclassid = true.
Writes this object to the TPZStream buffer. Include the classid if withclassid = true
Reimplemented from TPZSavable.
Reimplemented in pzgeom::TPZNodeRep< 6, pztopology::TPZPrism >, and pzgeom::TPZNodeRep< 15, pztopology::TPZPrism >.
Definition at line 1923 of file tpzprism.cpp.
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Nodes over quadrilateral sides (2d - faces).
Definition at line 267 of file tpzprism.h.
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Valid permutations between nodes.
Definition at line 276 of file tpzprism.h.
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Ids of the shape face.
Definition at line 273 of file tpzprism.h.
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Nodes over lines sides (1d)
Definition at line 270 of file tpzprism.h.