Reference documentation for deal.II version 9.3.0

#include <deal.II/grid/tria_levels.h>
Public Member Functions  
TriaLevel (const unsigned int dim)  
TriaLevel ()  
std::size_t  memory_consumption () const 
template<class Archive >  
void  serialize (Archive &ar, const unsigned int version) 
Public Attributes  
unsigned int  dim 
std::vector< std::uint8_t >  refine_flags 
std::vector< bool >  coarsen_flags 
std::vector< unsigned int >  active_cell_indices 
std::vector< types::global_cell_index >  global_active_cell_indices 
std::vector< types::global_cell_index >  global_level_cell_indices 
std::vector< std::pair< int, int > >  neighbors 
std::vector< types::subdomain_id >  subdomain_ids 
std::vector< types::subdomain_id >  level_subdomain_ids 
std::vector< int >  parents 
std::vector< bool >  direction_flags 
TriaObjects  cells 
std::vector< unsigned char >  face_orientations 
std::vector<::ReferenceCell >  reference_cell 
std::vector< unsigned int >  cell_vertex_indices_cache 
Store all information which belongs to one level of the multilevel hierarchy.
In TriaLevel, all cell data is stored which is not dependent on the dimension, e.g. a field to store the refinement flag for the cells (what a cell actually is is declared elsewhere), etc. See also TriaObjects for non leveloriented data.
There is another field, which may fit in here, namely the material data (for cells) or the boundary indicators (for faces), but since we need for a line or quad either boundary information or material data, we store them with the lines and quads rather than with the common data. Likewise, in 3d, we need boundary indicators for lines and quads (we need to know how to refine a line if the two adjacent faces have different boundary indicators), and material data for cells.
Definition at line 55 of file tria_levels.h.

inline 
Constructor.
dim  Dimension of the Triangulation. 
Definition at line 63 of file tria_levels.h.

inline 
Default constructor (needed by Boost).
Definition at line 71 of file tria_levels.h.
std::size_t internal::TriangulationImplementation::TriaLevel::memory_consumption  (  )  const 
Determine an estimate for the memory consumption (in bytes) of this object.
Definition at line 28 of file tria_levels.cc.
void internal::TriangulationImplementation::TriaLevel::serialize  (  Archive &  ar, 
const unsigned int  version  
) 
Read or write the data of this object to or from a stream for the purpose of serialization using the BOOST serialization library.
Definition at line 255 of file tria_levels.h.
unsigned int internal::TriangulationImplementation::TriaLevel::dim 
Dimension of the Triangulation.
Definition at line 79 of file tria_levels.h.
std::vector<std::uint8_t> internal::TriangulationImplementation::TriaLevel::refine_flags 
RefinementCase<dim>::Type
flags for the cells to be refined with or not (RefinementCase<dim>::no_refinement). The meaning what a cell is, is dimension specific, therefore also the length of this vector depends on the dimension: in one dimension, the length of this vector equals the length of the lines
vector, in two dimensions that of the quads
vector, etc.
Definition at line 89 of file tria_levels.h.
std::vector<bool> internal::TriangulationImplementation::TriaLevel::coarsen_flags 
Same meaning as the one above, but specifies whether a cell must be coarsened.
Definition at line 95 of file tria_levels.h.
std::vector<unsigned int> internal::TriangulationImplementation::TriaLevel::active_cell_indices 
An integer that, for every active cell, stores the how manyth active cell this is. For nonactive cells, this value is unused and set to an invalid value.
Definition at line 103 of file tria_levels.h.
std::vector<types::global_cell_index> internal::TriangulationImplementation::TriaLevel::global_active_cell_indices 
Global cell index of each active cell.
Definition at line 108 of file tria_levels.h.
std::vector<types::global_cell_index> internal::TriangulationImplementation::TriaLevel::global_level_cell_indices 
Global cell index of each cell on the given level.
Definition at line 113 of file tria_levels.h.
Levels and indices of the neighbors of the cells. Convention is, that the neighbors of the cell with index i
are stored in the fields following \(i*(2*real\_space\_dimension)\), e.g. in one spatial dimension, the neighbors of cell 0 are stored in neighbors[0]
and neighbors[1]
, the neighbors of cell 1 are stored in neighbors[2]
and neighbors[3]
, and so on.
In neighbors, neighbors[i].first
is the level, while neighbors[i].second
is the index of the neighbor.
If a neighbor does not exist (cell is at the boundary), level=index=1
is set.
Conventions: The ith
neighbor of a cell is the one which shares the ith
face (Line
in 2D, Quad
in 3D) of this cell.
The neighbor of a cell has at most the same level as this cell, i.e. it may or may not be refined.
In one dimension, a neighbor may have any level less or equal the level of this cell. If it has the same level, it may be refined an arbitrary number of times, but the neighbor pointer still points to the cell on the same level, while the neighbors of the children of the neighbor may point to this cell or its children.
In two and more dimensions, the neighbor is either on the same level and refined (in which case its children have neighbor pointers to this cell or its direct children), unrefined on the same level or one level down (in which case its neighbor pointer points to the mother cell of this cell).
Definition at line 148 of file tria_levels.h.
std::vector<types::subdomain_id> internal::TriangulationImplementation::TriaLevel::subdomain_ids 
One integer per cell to store which subdomain it belongs to. This field is most often used in parallel computations, where it denotes which processor shall work on/owns the cells with a given subdomain number.
This number is only used on active cells.
Definition at line 158 of file tria_levels.h.
std::vector<types::subdomain_id> internal::TriangulationImplementation::TriaLevel::level_subdomain_ids 
The subdomain id used on each level for parallel multigrid.
In contrast to the subdomain_id, this number is also used on inactive cells once the mesh has been partitioned also on the lower levels of the multigrid hierarchy.
Definition at line 167 of file tria_levels.h.
std::vector<int> internal::TriangulationImplementation::TriaLevel::parents 
One integer for every consecutive pair of cells to store which index their parent has.
(We store this information once for each pair of cells since every refinement, isotropic or anisotropic, and in any space dimension, always creates children in multiples of two, so there is no need to store the parent index for every cell.)
Definition at line 178 of file tria_levels.h.
std::vector<bool> internal::TriangulationImplementation::TriaLevel::direction_flags 
One bool per cell to indicate the direction of the normal true: use orientation from vertex false: revert the orientation. See GlossDirectionFlag.
This is only used for codim==1 meshes.
Definition at line 187 of file tria_levels.h.
TriaObjects internal::TriangulationImplementation::TriaLevel::cells 
The object containing the data on lines and related functions
Definition at line 192 of file tria_levels.h.
std::vector<unsigned char> internal::TriangulationImplementation::TriaLevel::face_orientations 
For edges, we enforce a standard convention that opposite edges should be parallel. Now, that's enforceable in most cases, and we have code that makes sure that if a mesh allows this to happen, that we have this convention. We also know that it is always possible to have opposite faces have parallel normal vectors. (For both things, see the paper by Agelek, Anderson, Bangerth, Barth in the ACM Transactions on Mathematical Software mentioned in the documentation of the GridReordering class.)
The problem is that we originally had another condition, namely that faces 0, 2 and 4 have normals that point into the cell, while the other faces have normals that point outward. It turns out that this is not always possible. In effect, we have to store whether the normal vector of each face of each cell follows this convention or not. If this is so, then this variable stores a true
value, otherwise a false
value.
In effect, this field has 6*n_cells
elements, being the number of cells times the six faces each has.
Definition at line 218 of file tria_levels.h.
std::vector<::ReferenceCell> internal::TriangulationImplementation::TriaLevel::reference_cell 
Reference cell type of each cell.
Definition at line 225 of file tria_levels.h.
std::vector<unsigned int> internal::TriangulationImplementation::TriaLevel::cell_vertex_indices_cache 
A cache for the vertex indices of the cells (structdim == dim
), in order to more quickly retrieve these frequently accessed quantities. For simplified addressing, the information is indexed by the maximum number of vertices possible for a cell (quadrilateral/hexahedron).
Definition at line 233 of file tria_levels.h.