libMesh::QGrid Class Reference

Implements grid-based quadrature rules suitable for non-smooth functions. More...

#include <quadrature_grid.h>

Inheritance diagram for libMesh::QGrid:

Public Member Functions

 QGrid (const unsigned int _dim, const Order _order=INVALID_ORDER)
 
 ~QGrid ()
 
virtual QuadratureType type () const libmesh_override
 
ElemType get_elem_type () const
 
unsigned int get_p_level () const
 
unsigned int n_points () const
 
unsigned int get_dim () const
 
const std::vector< Point > & get_points () const
 
std::vector< Point > & get_points ()
 
const std::vector< Real > & get_weights () const
 
std::vector< Real > & get_weights ()
 
Point qp (const unsigned int i) const
 
Real w (const unsigned int i) const
 
virtual void init (const ElemType type=INVALID_ELEM, unsigned int p_level=0)
 
virtual void init (const Elem &elem, const std::vector< Real > &vertex_distance_func, unsigned int p_level=0)
 
Order get_order () const
 
void print_info (std::ostream &os=libMesh::out) const
 
void scale (std::pair< Real, Real > old_range, std::pair< Real, Real > new_range)
 
virtual bool shapes_need_reinit ()
 

Static Public Member Functions

static UniquePtr< QBasebuild (const std::string &name, const unsigned int dim, const Order order=INVALID_ORDER)
 
static UniquePtr< QBasebuild (const QuadratureType qt, const unsigned int dim, const Order order=INVALID_ORDER)
 
static void print_info (std::ostream &out=libMesh::out)
 
static std::string get_info ()
 
static unsigned int n_objects ()
 
static void enable_print_counter_info ()
 
static void disable_print_counter_info ()
 

Public Attributes

bool allow_rules_with_negative_weights
 

Protected Types

typedef std::map< std::string, std::pair< unsigned int, unsigned int > > Counts
 

Protected Member Functions

virtual void init_0D (const ElemType type=INVALID_ELEM, unsigned int p_level=0)
 
void tensor_product_quad (const QBase &q1D)
 
void tensor_product_hex (const QBase &q1D)
 
void tensor_product_prism (const QBase &q1D, const QBase &q2D)
 
void increment_constructor_count (const std::string &name)
 
void increment_destructor_count (const std::string &name)
 

Protected Attributes

const unsigned int _dim
 
const Order _order
 
ElemType _type
 
unsigned int _p_level
 
std::vector< Point_points
 
std::vector< Real_weights
 

Static Protected Attributes

static Counts _counts
 
static Threads::atomic< unsigned int > _n_objects
 
static Threads::spin_mutex _mutex
 
static bool _enable_print_counter = true
 

Private Member Functions

virtual void init_1D (const ElemType _type=INVALID_ELEM, unsigned int p_level=0) libmesh_override
 
virtual void init_2D (const ElemType _type=INVALID_ELEM, unsigned int p_level=0) libmesh_override
 
virtual void init_3D (const ElemType _type=INVALID_ELEM, unsigned int p_level=0) libmesh_override
 

Detailed Description

Implements grid-based quadrature rules suitable for non-smooth functions.

This class creates quadrature points on a uniform grid, with order+1 points on an edge.

Unlike most libMesh quadrature rules, QGrid does not reduce the integration error exponentially on smooth functions as you increase the quadrature order. Instead, it reduces the error quadratically. However, this error reduction is more reliable on non-smooth functions.

This quadrature type may be useful if you are integrating functions which have discontinuities or discontinuous derivatives on scales smaller than your element size.

Author
Roy Stogner
Date
2005

Definition at line 47 of file quadrature_grid.h.

Member Typedef Documentation

typedef std::map<std::string, std::pair<unsigned int, unsigned int> > libMesh::ReferenceCounter::Counts
protectedinherited

Data structure to log the information. The log is identified by the class name.

Definition at line 110 of file reference_counter.h.

Constructor & Destructor Documentation

libMesh::QGrid::QGrid ( const unsigned int  _dim,
const Order  _order = INVALID_ORDER 
)
inline

Constructor. Declares the order of the quadrature rule.

Definition at line 54 of file quadrature_grid.h.

55  :
56  QBase(_dim, _order)
57  {}
const unsigned int _dim
Definition: quadrature.h:309
QBase(const unsigned int _dim, const Order _order=INVALID_ORDER)
Definition: quadrature.h:348
const Order _order
Definition: quadrature.h:315
libMesh::QGrid::~QGrid ( )
inline

Destructor.

Definition at line 62 of file quadrature_grid.h.

62 {}

Member Function Documentation

UniquePtr< QBase > libMesh::QBase::build ( const std::string &  name,
const unsigned int  dim,
const Order  order = INVALID_ORDER 
)
staticinherited

Builds a specific quadrature rule based on the name string. This enables selection of the quadrature rule at run-time. The input parameter name must be mappable through the Utility::string_to_enum<>() function.

This function allocates memory, therefore a UniquePtr<QBase> is returned so that the user does not accidentally leak it.

Definition at line 42 of file quadrature_build.C.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::attach_quadrature_rule(), and libMesh::QBase::~QBase().

45 {
46  return QBase::build (Utility::string_to_enum<QuadratureType> (type),
47  _dim,
48  _order);
49 }
const unsigned int _dim
Definition: quadrature.h:309
virtual QuadratureType type() const =0
static UniquePtr< QBase > build(const std::string &name, const unsigned int dim, const Order order=INVALID_ORDER)
const Order _order
Definition: quadrature.h:315
UniquePtr< QBase > libMesh::QBase::build ( const QuadratureType  qt,
const unsigned int  dim,
const Order  order = INVALID_ORDER 
)
staticinherited

Builds a specific quadrature rule based on the QuadratureType. This enables selection of the quadrature rule at run-time.

This function allocates memory, therefore a UniquePtr<QBase> is returned so that the user does not accidentally leak it.

Definition at line 53 of file quadrature_build.C.

References libMesh::FIRST, libMesh::FORTYTHIRD, libMesh::out, libMesh::QCLOUGH, libMesh::QCONICAL, libMesh::QGAUSS, libMesh::QGAUSS_LOBATTO, libMesh::QGRID, libMesh::QGRUNDMANN_MOLLER, libMesh::QJACOBI_1_0, libMesh::QJACOBI_2_0, libMesh::QMONOMIAL, libMesh::QSIMPSON, libMesh::QTRAP, libMesh::THIRD, and libMesh::TWENTYTHIRD.

56 {
57  switch (_qt)
58  {
59 
60  case QCLOUGH:
61  {
62 #ifdef DEBUG
63  if (_order > TWENTYTHIRD)
64  {
65  libMesh::out << "WARNING: Clough quadrature implemented" << std::endl
66  << " up to TWENTYTHIRD order." << std::endl;
67  }
68 #endif
69 
70  return UniquePtr<QBase>(new QClough(_dim, _order));
71  }
72 
73  case QGAUSS:
74  {
75 
76 #ifdef DEBUG
77  if (_order > FORTYTHIRD)
78  {
79  libMesh::out << "WARNING: Gauss quadrature implemented" << std::endl
80  << " up to FORTYTHIRD order." << std::endl;
81  }
82 #endif
83 
84  return UniquePtr<QBase>(new QGauss(_dim, _order));
85  }
86 
87  case QJACOBI_1_0:
88  {
89 
90 #ifdef DEBUG
91  if (_order > FORTYTHIRD)
92  {
93  libMesh::out << "WARNING: Jacobi(1,0) quadrature implemented" << std::endl
94  << " up to FORTYTHIRD order." << std::endl;
95  }
96 
97  if (_dim > 1)
98  {
99  libMesh::out << "WARNING: Jacobi(1,0) quadrature implemented" << std::endl
100  << " in 1D only." << std::endl;
101  }
102 #endif
103 
104  return UniquePtr<QBase>(new QJacobi(_dim, _order, 1, 0));
105  }
106 
107  case QJACOBI_2_0:
108  {
109 
110 #ifdef DEBUG
111  if (_order > FORTYTHIRD)
112  {
113  libMesh::out << "WARNING: Jacobi(2,0) quadrature implemented" << std::endl
114  << " up to FORTYTHIRD order." << std::endl;
115  }
116 
117  if (_dim > 1)
118  {
119  libMesh::out << "WARNING: Jacobi(2,0) quadrature implemented" << std::endl
120  << " in 1D only." << std::endl;
121  }
122 #endif
123 
124  return UniquePtr<QBase>(new QJacobi(_dim, _order, 2, 0));
125  }
126 
127  case QSIMPSON:
128  {
129 
130 #ifdef DEBUG
131  if (_order > THIRD)
132  {
133  libMesh::out << "WARNING: Simpson rule provides only" << std::endl
134  << " THIRD order!" << std::endl;
135  }
136 #endif
137 
138  return UniquePtr<QBase>(new QSimpson(_dim));
139  }
140 
141  case QTRAP:
142  {
143 
144 #ifdef DEBUG
145  if (_order > FIRST)
146  {
147  libMesh::out << "WARNING: Trapezoidal rule provides only" << std::endl
148  << " FIRST order!" << std::endl;
149  }
150 #endif
151 
152  return UniquePtr<QBase>(new QTrap(_dim));
153  }
154 
155  case QGRID:
156  return UniquePtr<QBase>(new QGrid(_dim, _order));
157 
158  case QGRUNDMANN_MOLLER:
159  return UniquePtr<QBase>(new QGrundmann_Moller(_dim, _order));
160 
161  case QMONOMIAL:
162  return UniquePtr<QBase>(new QMonomial(_dim, _order));
163 
164  case QGAUSS_LOBATTO:
165  return UniquePtr<QBase>(new QGaussLobatto(_dim, _order));
166 
167  case QCONICAL:
168  return UniquePtr<QBase>(new QConical(_dim, _order));
169 
170  default:
171  libmesh_error_msg("ERROR: Bad qt=" << _qt);
172  }
173 
174 
175  libmesh_error_msg("We'll never get here!");
176  return UniquePtr<QBase>();
177 }
const unsigned int _dim
Definition: quadrature.h:309
OStreamProxy out(std::cout)
const Order _order
Definition: quadrature.h:315
void libMesh::ReferenceCounter::disable_print_counter_info ( )
staticinherited
void libMesh::ReferenceCounter::enable_print_counter_info ( )
staticinherited

Methods to enable/disable the reference counter output from print_info()

Definition at line 100 of file reference_counter.C.

References libMesh::ReferenceCounter::_enable_print_counter.

Referenced by libMesh::ReferenceCounter::n_objects().

101 {
102  _enable_print_counter = true;
103  return;
104 }
unsigned int libMesh::QBase::get_dim ( ) const
inlineinherited
Returns
the spatial dimension of the quadrature rule.

Definition at line 122 of file quadrature.h.

References libMesh::QBase::_dim.

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::attach_quadrature_rule(), libMesh::QConical::conical_product_pyramid(), libMesh::QConical::conical_product_tet(), and libMesh::QConical::conical_product_tri().

122 { return _dim; }
const unsigned int _dim
Definition: quadrature.h:309
ElemType libMesh::QBase::get_elem_type ( ) const
inlineinherited
Returns
the element type we're currently using.

Definition at line 103 of file quadrature.h.

References libMesh::QBase::_type.

103 { return _type; }
ElemType _type
Definition: quadrature.h:321
std::string libMesh::ReferenceCounter::get_info ( )
staticinherited

Gets a string containing the reference information.

Definition at line 47 of file reference_counter.C.

References libMesh::ReferenceCounter::_counts, and libMesh::Quality::name().

Referenced by libMesh::ReferenceCounter::print_info().

48 {
49 #if defined(LIBMESH_ENABLE_REFERENCE_COUNTING) && defined(DEBUG)
50 
51  std::ostringstream oss;
52 
53  oss << '\n'
54  << " ---------------------------------------------------------------------------- \n"
55  << "| Reference count information |\n"
56  << " ---------------------------------------------------------------------------- \n";
57 
58  for (Counts::iterator it = _counts.begin();
59  it != _counts.end(); ++it)
60  {
61  const std::string name(it->first);
62  const unsigned int creations = it->second.first;
63  const unsigned int destructions = it->second.second;
64 
65  oss << "| " << name << " reference count information:\n"
66  << "| Creations: " << creations << '\n'
67  << "| Destructions: " << destructions << '\n';
68  }
69 
70  oss << " ---------------------------------------------------------------------------- \n";
71 
72  return oss.str();
73 
74 #else
75 
76  return "";
77 
78 #endif
79 }
std::string name(const ElemQuality q)
Definition: elem_quality.C:39
Order libMesh::QBase::get_order ( ) const
inlineinherited
Returns
the order of the quadrature rule.

Definition at line 189 of file quadrature.h.

References libMesh::QBase::_order, libMesh::QBase::_p_level, libMesh::QBase::operator<<, libMesh::out, libMesh::QBase::print_info(), and libMesh::QBase::scale().

Referenced by libMesh::InfFE< Dim, T_radial, T_map >::attach_quadrature_rule().

189 { return static_cast<Order>(_order + _p_level); }
unsigned int _p_level
Definition: quadrature.h:327
const Order _order
Definition: quadrature.h:315
unsigned int libMesh::QBase::get_p_level ( ) const
inlineinherited
Returns
the p-refinement level we're currently using.

Definition at line 108 of file quadrature.h.

References libMesh::QBase::_p_level.

108 { return _p_level; }
unsigned int _p_level
Definition: quadrature.h:327
const std::vector<Point>& libMesh::QBase::get_points ( ) const
inlineinherited
std::vector<Point>& libMesh::QBase::get_points ( )
inlineinherited
Returns
a std::vector containing the quadrature point locations in reference element space as a writeable reference.

Definition at line 134 of file quadrature.h.

References libMesh::QBase::_points.

134 { return _points; }
std::vector< Point > _points
Definition: quadrature.h:333
const std::vector<Real>& libMesh::QBase::get_weights ( ) const
inlineinherited
std::vector<Real>& libMesh::QBase::get_weights ( )
inlineinherited
Returns
a writable references to a std::vector containing the quadrature weights.

Definition at line 146 of file quadrature.h.

References libMesh::QBase::_weights.

146 { return _weights; }
std::vector< Real > _weights
Definition: quadrature.h:339
void libMesh::ReferenceCounter::increment_constructor_count ( const std::string &  name)
inlineprotectedinherited

Increments the construction counter. Should be called in the constructor of any derived class that will be reference counted.

Definition at line 160 of file reference_counter.h.

References libMesh::ReferenceCounter::_counts, libMesh::Quality::name(), and libMesh::Threads::spin_mtx.

Referenced by libMesh::ReferenceCounter::n_objects(), and libMesh::ReferenceCountedObject< RBParametrized >::ReferenceCountedObject().

161 {
162  Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
163  std::pair<unsigned int, unsigned int> & p = _counts[name];
164 
165  p.first++;
166 }
std::string name(const ElemQuality q)
Definition: elem_quality.C:39
spin_mutex spin_mtx
Definition: threads.C:29
void libMesh::ReferenceCounter::increment_destructor_count ( const std::string &  name)
inlineprotectedinherited

Increments the destruction counter. Should be called in the destructor of any derived class that will be reference counted.

Definition at line 173 of file reference_counter.h.

References libMesh::ReferenceCounter::_counts, libMesh::Quality::name(), and libMesh::Threads::spin_mtx.

Referenced by libMesh::ReferenceCounter::n_objects(), and libMesh::ReferenceCountedObject< RBParametrized >::~ReferenceCountedObject().

174 {
175  Threads::spin_mutex::scoped_lock lock(Threads::spin_mtx);
176  std::pair<unsigned int, unsigned int> & p = _counts[name];
177 
178  p.second++;
179 }
std::string name(const ElemQuality q)
Definition: elem_quality.C:39
spin_mutex spin_mtx
Definition: threads.C:29
void libMesh::QBase::init ( const ElemType  type = INVALID_ELEM,
unsigned int  p_level = 0 
)
virtualinherited

Initializes the data structures for a quadrature rule for an element of type type.

Definition at line 28 of file quadrature.C.

References libMesh::QBase::_dim, libMesh::QBase::_p_level, libMesh::QBase::_type, libMesh::QBase::init_0D(), libMesh::QBase::init_1D(), libMesh::QBase::init_2D(), and libMesh::QBase::init_3D().

Referenced by libMesh::FESubdivision::attach_quadrature_rule(), libMesh::QBase::init(), libMesh::QClough::init_1D(), libMesh::QMonomial::init_1D(), libMesh::QClough::init_2D(), libMesh::QGaussLobatto::init_2D(), libMesh::QTrap::init_2D(), libMesh::QSimpson::init_2D(), init_2D(), libMesh::QGauss::init_2D(), libMesh::QMonomial::init_2D(), libMesh::QGaussLobatto::init_3D(), libMesh::QTrap::init_3D(), init_3D(), libMesh::QSimpson::init_3D(), libMesh::QGauss::init_3D(), libMesh::QMonomial::init_3D(), libMesh::QGauss::QGauss(), libMesh::QGaussLobatto::QGaussLobatto(), libMesh::QJacobi::QJacobi(), libMesh::QSimpson::QSimpson(), libMesh::QTrap::QTrap(), and libMesh::QBase::w().

30 {
31  // check to see if we have already
32  // done the work for this quadrature rule
33  if (t == _type && p == _p_level)
34  return;
35  else
36  {
37  _type = t;
38  _p_level = p;
39  }
40 
41 
42 
43  switch(_dim)
44  {
45  case 0:
46  this->init_0D(_type,_p_level);
47 
48  return;
49 
50  case 1:
51  this->init_1D(_type,_p_level);
52 
53  return;
54 
55  case 2:
56  this->init_2D(_type,_p_level);
57 
58  return;
59 
60  case 3:
61  this->init_3D(_type,_p_level);
62 
63  return;
64 
65  default:
66  libmesh_error_msg("Invalid dimension _dim = " << _dim);
67  }
68 }
const unsigned int _dim
Definition: quadrature.h:309
ElemType _type
Definition: quadrature.h:321
unsigned int _p_level
Definition: quadrature.h:327
virtual void init_2D(const ElemType, unsigned int=0)
Definition: quadrature.h:261
virtual void init_1D(const ElemType type=INVALID_ELEM, unsigned int p_level=0)=0
virtual void init_0D(const ElemType type=INVALID_ELEM, unsigned int p_level=0)
Definition: quadrature.C:82
virtual void init_3D(const ElemType, unsigned int=0)
Definition: quadrature.h:277
void libMesh::QBase::init ( const Elem elem,
const std::vector< Real > &  vertex_distance_func,
unsigned int  p_level = 0 
)
virtualinherited

Initializes the data structures for an element potentially "cut" by a signed distance function. The array vertex_distance_func contains vertex values of the signed distance function. If the signed distance function changes sign on the vertices, then the element is considered to be cut.) This interface can be extended by derived classes in order to subdivide the element and construct a composite quadrature rule.

Definition at line 72 of file quadrature.C.

References libMesh::QBase::init(), and libMesh::Elem::type().

75 {
76  // dispatch generic implementation
77  this->init(elem.type(), p_level);
78 }
virtual void init(const ElemType type=INVALID_ELEM, unsigned int p_level=0)
Definition: quadrature.C:28
void libMesh::QBase::init_0D ( const ElemType  type = INVALID_ELEM,
unsigned int  p_level = 0 
)
protectedvirtualinherited

Initializes the 0D quadrature rule by filling the points and weights vectors with the appropriate values. Generally this is just one point with weight 1.

Definition at line 82 of file quadrature.C.

References libMesh::QBase::_points, and libMesh::QBase::_weights.

Referenced by libMesh::QBase::init().

84 {
85  _points.resize(1);
86  _weights.resize(1);
87  _points[0] = Point(0.);
88  _weights[0] = 1.0;
89 }
std::vector< Point > _points
Definition: quadrature.h:333
std::vector< Real > _weights
Definition: quadrature.h:339
void libMesh::QGrid::init_1D ( const ElemType  type = INVALID_ELEM,
unsigned int  p_level = 0 
)
privatevirtual

Initializes the 1D quadrature rule by filling the points and weights vectors with the appropriate values. The order of the rule will be defined by the implementing class. It is assumed that derived quadrature rules will at least define the init_1D function, therefore it is pure virtual.

Implements libMesh::QBase.

Definition at line 30 of file quadrature_grid_1D.C.

References libMesh::QBase::_order, libMesh::QBase::_points, libMesh::QBase::_weights, and libMesh::Real.

Referenced by type().

32 {
33  //----------------------------------------------------------------------
34  // 1D quadrature rules
35 
36  // We ignore p - the grid rule is just for experimentation
37 
38  _points.resize(_order + 1);
39  _weights.resize(_order + 1);
40  const Real dx = Real(2)/(_order+1);
41  for (int i = 0; i != _order + 1; ++i)
42  {
43  _points[i](0) = (i+0.5)*dx-1;
44  _weights[i] = dx;
45  }
46  return;
47 }
std::vector< Point > _points
Definition: quadrature.h:333
std::vector< Real > _weights
Definition: quadrature.h:339
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real
const Order _order
Definition: quadrature.h:315
void libMesh::QGrid::init_2D ( const ElemType  = INVALID_ELEM,
unsigned int  = 0 
)
privatevirtual

Initializes the 2D quadrature rule by filling the points and weights vectors with the appropriate values. The order of the rule will be defined by the implementing class. Should not be pure virtual since a derived quadrature rule may only be defined in 1D. If not redefined, gives an error (when DEBUG is defined) when called.

Reimplemented from libMesh::QBase.

Definition at line 27 of file quadrature_grid_2D.C.

References libMesh::QBase::_order, libMesh::QBase::_points, libMesh::QBase::_weights, libMesh::EDGE2, libMesh::QBase::init(), libMesh::QUAD4, libMesh::QUAD8, libMesh::QUAD9, libMesh::QUADSHELL4, libMesh::Real, libMesh::QBase::tensor_product_quad(), libMesh::TRI3, libMesh::TRI6, libMesh::TRISHELL3, and libMesh::MeshTools::weight().

Referenced by type().

29 {
30 #if LIBMESH_DIM > 1
31 
32  //-----------------------------------------------------------------------
33  // 2D quadrature rules
34 
35  // We ignore p - the grid rule is just for experimentation
36 
37  switch (type_in)
38  {
39 
40 
41  //---------------------------------------------
42  // Quadrilateral quadrature rules
43  case QUAD4:
44  case QUADSHELL4:
45  case QUAD8:
46  case QUAD9:
47  {
48  // We compute the 2D quadrature rule as a tensor
49  // product of the 1D quadrature rule.
50  QGrid q1D(1,_order);
51  q1D.init(EDGE2);
52  tensor_product_quad( q1D );
53  return;
54  }
55 
56 
57  //---------------------------------------------
58  // Triangle quadrature rules
59  case TRI3:
60  case TRISHELL3:
61  case TRI6:
62  {
63  const unsigned int np = (_order + 1)*(_order + 2)/2;
64  const Real weight = Real(0.5)/np;
65  const Real dx = Real(1)/(_order+1);
66  _points.resize(np);
67  _weights.resize(np);
68 
69  unsigned int pt = 0;
70  for (int i = 0; i != _order + 1; ++i)
71  {
72  for (int j = 0; j != _order + 1 - i; ++j)
73  {
74  _points[pt](0) = (i+0.5)*dx;
75  _points[pt](1) = (j+0.5)*dx;
76  _weights[pt] = weight;
77  pt++;
78  }
79  }
80  return;
81  }
82 
83  //---------------------------------------------
84  // Unsupported type
85  default:
86  libmesh_error_msg("Element type not supported!:" << type_in);
87  }
88 #endif
89 }
std::vector< Point > _points
Definition: quadrature.h:333
std::vector< Real > _weights
Definition: quadrature.h:339
dof_id_type weight(const MeshBase &mesh, const processor_id_type pid)
Definition: mesh_tools.C:275
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real
void tensor_product_quad(const QBase &q1D)
Definition: quadrature.C:127
QGrid(const unsigned int _dim, const Order _order=INVALID_ORDER)
const Order _order
Definition: quadrature.h:315
void libMesh::QGrid::init_3D ( const ElemType  = INVALID_ELEM,
unsigned int  = 0 
)
privatevirtual

Initializes the 3D quadrature rule by filling the points and weights vectors with the appropriate values. The order of the rule will be defined by the implementing class. Should not be pure virtual since a derived quadrature rule may only be defined in 1D. If not redefined, gives an error (when DEBUG is defined) when called.

Reimplemented from libMesh::QBase.

Definition at line 27 of file quadrature_grid_3D.C.

References libMesh::QBase::_order, libMesh::QBase::_points, libMesh::QBase::_weights, libMesh::EDGE2, libMesh::HEX20, libMesh::HEX27, libMesh::HEX8, libMesh::QBase::init(), libMesh::PRISM15, libMesh::PRISM18, libMesh::PRISM6, libMesh::PYRAMID13, libMesh::PYRAMID14, libMesh::PYRAMID5, libMesh::Real, libMesh::QBase::tensor_product_hex(), libMesh::QBase::tensor_product_prism(), libMesh::TET10, libMesh::TET4, libMesh::TRI3, and libMesh::MeshTools::weight().

Referenced by type().

29 {
30 #if LIBMESH_DIM == 3
31 
32  //-----------------------------------------------------------------------
33  // 3D quadrature rules
34 
35  // We ignore p - the grid rule is just for experimentation
36  switch (type_in)
37  {
38  //---------------------------------------------
39  // Hex quadrature rules
40  case HEX8:
41  case HEX20:
42  case HEX27:
43  {
44  // We compute the 3D quadrature rule as a tensor
45  // product of the 1D quadrature rule.
46  QGrid q1D(1,_order);
47  q1D.init(EDGE2);
48 
49  tensor_product_hex( q1D );
50 
51  return;
52  }
53 
54 
55 
56  //---------------------------------------------
57  // Tetrahedral quadrature rules
58  case TET4:
59  case TET10:
60  {
61  const unsigned int np = (_order+1)*(_order+2)*(_order+3)/6;
62  // Master tet has 1x1 triangle base, height 1, so volume = 1/6
63  const Real weight = Real(1)/Real(6)/np;
64  const Real dx = Real(1)/(_order+1);
65  _points.resize(np);
66  _weights.resize(np);
67 
68  unsigned int pt = 0;
69  for (int i = 0; i != _order + 1; ++i)
70  {
71  for (int j = 0; j != _order + 1 - i; ++j)
72  {
73  for (int k = 0; k != _order + 1 - i - j; ++k)
74  {
75  _points[pt](0) = (i+0.5)*dx;
76  _points[pt](1) = (j+0.5)*dx;
77  _points[pt](2) = (k+0.5)*dx;
78  _weights[pt] = weight;
79  pt++;
80  }
81  }
82  }
83  return;
84  }
85 
86 
87  // Prism quadrature rules
88  case PRISM6:
89  case PRISM15:
90  case PRISM18:
91  {
92  // We compute the 3D quadrature rule as a tensor
93  // product of the 1D quadrature rule and a 2D
94  // triangle quadrature rule
95 
96  QGrid q1D(1,_order);
97  QGrid q2D(2,_order);
98 
99  // Initialize
100  q1D.init(EDGE2);
101  q2D.init(TRI3);
102 
103  tensor_product_prism(q1D, q2D);
104 
105  return;
106  }
107 
108 
109 
110  //---------------------------------------------
111  // Pyramid
112  case PYRAMID5:
113  case PYRAMID13:
114  case PYRAMID14:
115  {
116  const unsigned int np = (_order+1)*(_order+2)*(_order+3)/6;
117  _points.resize(np);
118  _weights.resize(np);
119  // Master pyramid has 2x2 base, height 1, so volume = 4/3
120  const Real weight = Real(4)/Real(3)/np;
121  const Real dx = Real(2)/(_order+1);
122  const Real dz = Real(1)/(_order+1);
123 
124  unsigned int pt = 0;
125  for (int k = 0; k != _order + 1; ++k)
126  {
127  for (int i = 0; i != _order + 1 - k; ++i)
128  {
129  for (int j = 0; j != _order + 1 - k; ++j)
130  {
131  _points[pt](0) = (i+0.5)*dx-1.0 +
132  (k+0.5)*dz;
133  _points[pt](1) = (j+0.5)*dx-1.0 +
134  (k+0.5)*dz;
135  _points[pt](2) = (k+0.5)*dz;
136  _weights[pt] = weight;
137  pt++;
138  }
139  }
140  }
141  return;
142  }
143 
144 
145 
146  //---------------------------------------------
147  // Unsupported type
148  default:
149  libmesh_error_msg("ERROR: Unsupported type: " << type_in);
150  }
151 #endif
152 }
std::vector< Point > _points
Definition: quadrature.h:333
std::vector< Real > _weights
Definition: quadrature.h:339
void tensor_product_prism(const QBase &q1D, const QBase &q2D)
Definition: quadrature.C:181
void tensor_product_hex(const QBase &q1D)
Definition: quadrature.C:154
dof_id_type weight(const MeshBase &mesh, const processor_id_type pid)
Definition: mesh_tools.C:275
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real
QGrid(const unsigned int _dim, const Order _order=INVALID_ORDER)
const Order _order
Definition: quadrature.h:315
static unsigned int libMesh::ReferenceCounter::n_objects ( )
inlinestaticinherited
void libMesh::ReferenceCounter::print_info ( std::ostream &  out = libMesh::out)
staticinherited

Prints the reference information, by default to libMesh::out.

Definition at line 88 of file reference_counter.C.

References libMesh::ReferenceCounter::_enable_print_counter, and libMesh::ReferenceCounter::get_info().

Referenced by libMesh::LibMeshInit::LibMeshInit().

89 {
91 }
static std::string get_info()
void libMesh::QBase::print_info ( std::ostream &  os = libMesh::out) const
inlineinherited

Prints information relevant to the quadrature rule, by default to libMesh::out.

Definition at line 362 of file quadrature.h.

References libMesh::QBase::_points, libMesh::QBase::_weights, libMesh::libmesh_assert(), libMesh::QBase::n_points(), and libMesh::Real.

Referenced by libMesh::QBase::get_order(), and libMesh::operator<<().

363 {
364  libmesh_assert(!_points.empty());
365  libmesh_assert(!_weights.empty());
366 
367  Real summed_weights=0;
368  os << "N_Q_Points=" << this->n_points() << std::endl << std::endl;
369  for (unsigned int qpoint=0; qpoint<this->n_points(); qpoint++)
370  {
371  os << " Point " << qpoint << ":\n"
372  << " "
373  << _points[qpoint]
374  << "\n Weight:\n "
375  << " w=" << _weights[qpoint] << "\n" << std::endl;
376 
377  summed_weights += _weights[qpoint];
378  }
379  os << "Summed Weights: " << summed_weights << std::endl;
380 }
std::vector< Point > _points
Definition: quadrature.h:333
std::vector< Real > _weights
Definition: quadrature.h:339
libmesh_assert(j)
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real
unsigned int n_points() const
Definition: quadrature.h:113
Point libMesh::QBase::qp ( const unsigned int  i) const
inlineinherited
Returns
the $ i^{th} $ quadrature point in reference element space.

Definition at line 151 of file quadrature.h.

References libMesh::QBase::_points.

Referenced by libMesh::QConical::conical_product_pyramid(), libMesh::QConical::conical_product_tet(), libMesh::QConical::conical_product_tri(), libMesh::QBase::tensor_product_hex(), libMesh::QBase::tensor_product_prism(), and libMesh::QBase::tensor_product_quad().

152  {
153  libmesh_assert_less (i, _points.size());
154  return _points[i];
155  }
std::vector< Point > _points
Definition: quadrature.h:333
void libMesh::QBase::scale ( std::pair< Real, Real old_range,
std::pair< Real, Real new_range 
)
inherited

Maps the points of a 1D quadrature rule defined by "old_range" to another 1D interval defined by "new_range" and scales the weights accordingly.

Definition at line 93 of file quadrature.C.

References libMesh::QBase::_dim, libMesh::QBase::_points, libMesh::QBase::_weights, and libMesh::Real.

Referenced by libMesh::QConical::conical_product_tet(), libMesh::QConical::conical_product_tri(), and libMesh::QBase::get_order().

95 {
96  // Make sure we are in 1D
97  libmesh_assert_equal_to (_dim, 1);
98 
99  Real
100  h_new = new_range.second - new_range.first,
101  h_old = old_range.second - old_range.first;
102 
103  // Make sure that we have sane ranges
104  libmesh_assert_greater (h_new, 0.);
105  libmesh_assert_greater (h_old, 0.);
106 
107  // Make sure there are some points
108  libmesh_assert_greater (_points.size(), 0);
109 
110  // Compute the scale factor
111  Real scfact = h_new/h_old;
112 
113  // We're mapping from old_range -> new_range
114  for (std::size_t i=0; i<_points.size(); i++)
115  {
116  _points[i](0) = new_range.first +
117  (_points[i](0) - old_range.first) * scfact;
118 
119  // Scale the weights
120  _weights[i] *= scfact;
121  }
122 }
const unsigned int _dim
Definition: quadrature.h:309
std::vector< Point > _points
Definition: quadrature.h:333
std::vector< Real > _weights
Definition: quadrature.h:339
DIE A HORRIBLE DEATH HERE typedef LIBMESH_DEFAULT_SCALAR_TYPE Real
virtual bool libMesh::QBase::shapes_need_reinit ( )
inlinevirtualinherited

Returns true if the shape functions need to be recalculated. This may be required if the number of quadrature points or their position changes. Returns false by default.

Definition at line 215 of file quadrature.h.

215 { return false; }
void libMesh::QBase::tensor_product_hex ( const QBase q1D)
protectedinherited

Computes the tensor product quadrature rule [q1D x q1D x q1D] from the 1D rule q1D. Used in the init_3D routines for hexahedral element types.

Definition at line 154 of file quadrature.C.

References libMesh::QBase::_points, libMesh::QBase::_weights, libMesh::QBase::n_points(), libMesh::QBase::qp(), and libMesh::QBase::w().

Referenced by libMesh::QGaussLobatto::init_3D(), libMesh::QTrap::init_3D(), libMesh::QGauss::init_3D(), init_3D(), libMesh::QSimpson::init_3D(), and libMesh::QBase::init_3D().

155 {
156  const unsigned int np = q1D.n_points();
157 
158  _points.resize(np * np * np);
159 
160  _weights.resize(np * np * np);
161 
162  unsigned int q=0;
163 
164  for (unsigned int k=0; k<np; k++)
165  for (unsigned int j=0; j<np; j++)
166  for (unsigned int i=0; i<np; i++)
167  {
168  _points[q](0) = q1D.qp(i)(0);
169  _points[q](1) = q1D.qp(j)(0);
170  _points[q](2) = q1D.qp(k)(0);
171 
172  _weights[q] = q1D.w(i) * q1D.w(j) * q1D.w(k);
173 
174  q++;
175  }
176 }
std::vector< Point > _points
Definition: quadrature.h:333
std::vector< Real > _weights
Definition: quadrature.h:339
void libMesh::QBase::tensor_product_prism ( const QBase q1D,
const QBase q2D 
)
protectedinherited

Computes the tensor product of a 1D quadrature rule and a 2D quadrature rule. Used in the init_3D routines for prismatic element types.

Definition at line 181 of file quadrature.C.

References libMesh::QBase::_points, libMesh::QBase::_weights, libMesh::QBase::n_points(), libMesh::QBase::qp(), and libMesh::QBase::w().

Referenced by libMesh::QTrap::init_3D(), libMesh::QSimpson::init_3D(), init_3D(), libMesh::QGauss::init_3D(), and libMesh::QBase::init_3D().

182 {
183  const unsigned int n_points1D = q1D.n_points();
184  const unsigned int n_points2D = q2D.n_points();
185 
186  _points.resize (n_points1D * n_points2D);
187  _weights.resize (n_points1D * n_points2D);
188 
189  unsigned int q=0;
190 
191  for (unsigned int j=0; j<n_points1D; j++)
192  for (unsigned int i=0; i<n_points2D; i++)
193  {
194  _points[q](0) = q2D.qp(i)(0);
195  _points[q](1) = q2D.qp(i)(1);
196  _points[q](2) = q1D.qp(j)(0);
197 
198  _weights[q] = q2D.w(i) * q1D.w(j);
199 
200  q++;
201  }
202 
203 }
std::vector< Point > _points
Definition: quadrature.h:333
std::vector< Real > _weights
Definition: quadrature.h:339
void libMesh::QBase::tensor_product_quad ( const QBase q1D)
protectedinherited

Computes the tensor product of two 1D rules and returns a 2D rule. Used in the init_2D routines for quadrilateral element types.

Definition at line 127 of file quadrature.C.

References libMesh::QBase::_points, libMesh::QBase::_weights, libMesh::QBase::n_points(), libMesh::QBase::qp(), and libMesh::QBase::w().

Referenced by libMesh::QGaussLobatto::init_2D(), libMesh::QTrap::init_2D(), libMesh::QGauss::init_2D(), init_2D(), libMesh::QSimpson::init_2D(), and libMesh::QBase::init_3D().

128 {
129 
130  const unsigned int np = q1D.n_points();
131 
132  _points.resize(np * np);
133 
134  _weights.resize(np * np);
135 
136  unsigned int q=0;
137 
138  for (unsigned int j=0; j<np; j++)
139  for (unsigned int i=0; i<np; i++)
140  {
141  _points[q](0) = q1D.qp(i)(0);
142  _points[q](1) = q1D.qp(j)(0);
143 
144  _weights[q] = q1D.w(i)*q1D.w(j);
145 
146  q++;
147  }
148 }
std::vector< Point > _points
Definition: quadrature.h:333
std::vector< Real > _weights
Definition: quadrature.h:339
virtual QuadratureType libMesh::QGrid::type ( ) const
inlinevirtual
Returns
QGRID.

Implements libMesh::QBase.

Definition at line 67 of file quadrature_grid.h.

References libMesh::QBase::_type, init_1D(), init_2D(), init_3D(), libMesh::INVALID_ELEM, and libMesh::QGRID.

67 { return QGRID; }
Real libMesh::QBase::w ( const unsigned int  i) const
inlineinherited

Member Data Documentation

ReferenceCounter::Counts libMesh::ReferenceCounter::_counts
staticprotectedinherited
const unsigned int libMesh::QBase::_dim
protectedinherited

The spatial dimension of the quadrature rule.

Definition at line 309 of file quadrature.h.

Referenced by libMesh::QBase::get_dim(), libMesh::QBase::init(), libMesh::QGaussLobatto::QGaussLobatto(), and libMesh::QBase::scale().

bool libMesh::ReferenceCounter::_enable_print_counter = true
staticprotectedinherited

Flag to control whether reference count information is printed when print_info is called.

Definition at line 134 of file reference_counter.h.

Referenced by libMesh::ReferenceCounter::disable_print_counter_info(), libMesh::ReferenceCounter::enable_print_counter_info(), and libMesh::ReferenceCounter::print_info().

Threads::spin_mutex libMesh::ReferenceCounter::_mutex
staticprotectedinherited

Mutual exclusion object to enable thread-safe reference counting.

Definition at line 128 of file reference_counter.h.

Threads::atomic< unsigned int > libMesh::ReferenceCounter::_n_objects
staticprotectedinherited

The number of objects. Print the reference count information when the number returns to 0.

Definition at line 123 of file reference_counter.h.

Referenced by libMesh::ReferenceCounter::n_objects(), libMesh::ReferenceCounter::ReferenceCounter(), and libMesh::ReferenceCounter::~ReferenceCounter().

unsigned int libMesh::QBase::_p_level
protectedinherited

The p-level of the element for which the current values have been computed.

Definition at line 327 of file quadrature.h.

Referenced by libMesh::QBase::get_order(), libMesh::QBase::get_p_level(), and libMesh::QBase::init().

bool libMesh::QBase::allow_rules_with_negative_weights
inherited

Flag (default true) controlling the use of quadrature rules with negative weights. Set this to false to require rules with all positive weights.

Rules with negative weights can be unsuitable for some problems. For example, it is possible for a rule with negative weights to obtain a negative result when integrating a positive function.

A particular example: if rules with negative weights are not allowed, a request for TET,THIRD (5 points) will return the TET,FIFTH (14 points) rule instead, nearly tripling the computational effort required!

Definition at line 230 of file quadrature.h.

Referenced by libMesh::QGrundmann_Moller::init_2D(), libMesh::QGauss::init_3D(), libMesh::QMonomial::init_3D(), and libMesh::QGrundmann_Moller::init_3D().


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