Reference documentation for deal.II version 9.3.3

#include <deal.II/numerics/data_postprocessor.h>
Public Member Functions  
DataPostprocessorVector (const std::string &name, const UpdateFlags update_flags)  
virtual std::vector< std::string >  get_names () const override 
virtual std::vector< DataComponentInterpretation::DataComponentInterpretation >  get_data_component_interpretation () const override 
virtual UpdateFlags  get_needed_update_flags () const override 
virtual void  evaluate_scalar_field (const DataPostprocessorInputs::Scalar< dim > &input_data, std::vector< Vector< double > > &computed_quantities) const 
virtual void  evaluate_vector_field (const DataPostprocessorInputs::Vector< dim > &input_data, std::vector< Vector< double > > &computed_quantities) const 
Private Attributes  
const std::string  name 
const UpdateFlags  update_flags 
Subscriptor functionality  
Classes derived from Subscriptor provide a facility to subscribe to this object. This is mostly used by the SmartPointer class.  
std::atomic< unsigned int >  counter 
std::map< std::string, unsigned int >  counter_map 
std::vector< std::atomic< bool > * >  validity_pointers 
const std::type_info *  object_info 
void  subscribe (std::atomic< bool > *const validity, const std::string &identifier="") const 
void  unsubscribe (std::atomic< bool > *const validity, const std::string &identifier="") const 
unsigned int  n_subscriptions () const 
template<typename StreamType >  
void  list_subscribers (StreamType &stream) const 
void  list_subscribers () const 
template<class Archive >  
void  serialize (Archive &ar, const unsigned int version) 
using  map_value_type = decltype(counter_map)::value_type 
using  map_iterator = decltype(counter_map)::iterator 
static std::mutex  mutex 
static ::ExceptionBase &  ExcInUse (int arg1, std::string arg2, std::string arg3) 
static ::ExceptionBase &  ExcNoSubscriber (std::string arg1, std::string arg2) 
void  check_no_subscribers () const noexcept 
This class provides a simpler interface to the functionality offered by the DataPostprocessor class in case one wants to compute only a single vector quantity (defined as having exactly dim
components) from the finite element field passed to the DataOut class. For this particular case, it is clear what the returned value of DataPostprocessor::get_data_component_interpretation() should be and we pass the values returned by get_names() and get_needed_update_flags() to the constructor so that derived classes do not have to implement these functions by hand.
All derived classes have to do is implement a constructor and overload either DataPostprocessor::evaluate_scalar_field() or DataPostprocessor::evaluate_vector_field() as discussed in the DataPostprocessor class's documentation.
An example of how the closely related class DataPostprocessorScalar is used can be found in step29. An example of how the DataPostprocessorTensor class can be used is found in the documentation of that class.
A common example of what one wants to do with postprocessors is to visualize not just the value of the solution, but the gradient. This is, in fact, precisely what step19 needs, and it consequently uses the code below almost verbatim. Let's, for simplicity, assume that you have only a scalar solution. In fact, because it's readily available, let us simply take the step6 solver to produce such a scalar solution. The gradient is a vector (with exactly dim
components), so the current class fits the bill to produce the gradient through postprocessing. Then, the following code snippet implements everything you need to have to visualize the gradient:
The only thing that is necessary is to add another output to the call of DataOut::add_vector() in the run()
function of the Step6
class of that example program. The corresponding code snippet would then look like this (where we also use VTU as the file format to output the data):
This leads to the following output for the solution and the gradients (you may want to compare with the solution shown in the results section of step6; the current data is generated on a coarser mesh for simplicity):
In the second image, the background color corresponds to the magnitude of the gradient vector and the vector glyphs to the gradient itself. It may be surprising at first to see that from each vertex, multiple vectors originate, going in different directions. But that is because the solution is only continuous: in general, the gradient is discontinuous across edges, and so the multiple vectors originating from each vertex simply represent the differing gradients of the solution at each adjacent cell.
The output above – namely, the gradient \(\nabla u\) of the solution – corresponds to the temperature gradient if one interpreted step6 as solving a steadystate heat transfer problem. It is very small in the central part of the domain because in step6 we are solving an equation that has a coefficient \(a(\mathbf x)\) that is large in the central part and small on the outside. This can be thought as a material that conducts heat well, and consequently the temperature gradient is small. On the other hand, the "heat flux" corresponds to the quantity \(a(\mathbf x) \nabla u(\mathbf x)\). For the solution of that equation, the flux should be continuous across the interface. This is easily verified by the following modification of the postprocessor:
With this postprocessor, we get the following picture of the heat flux:
As the background color shows, the gradient times the coefficient is now a continuous function. There are (large) vectors around the interface where the coefficient jumps (at half the distance between the center of the disk to the perimeter) that seem to point in the wrong direction; this is an artifact of the fact that the solution has a discontinuous gradient at these points and that the numerical solution on the current grid does not adequately resolve this interface. This, however, is not important to the current discussion.
The example above uses a scalar solution and its gradient as an example. On the other hand, one may want to do something similar for the gradient of a vectorvalued displacement field (such as the strain or stress of a displacement field, like those computed in step8, step17, step18, or step44). In that case, the solution is already vector valued and the stress is a (symmetric) tensor.
deal.II does not currently support outputting tensorvalued quantities, but they can of course be output as a collection of scalarvalued components of the tensor. This can be facilitated using the DataPostprocessorTensor class. The documentation of that class contains an example.
Definition at line 889 of file data_postprocessor.h.
DataPostprocessorVector< dim >::DataPostprocessorVector  (  const std::string &  name, 
const UpdateFlags  update_flags  
) 
Constructor. Take the name of the single vector variable computed by classes derived from the current one, as well as the update flags necessary to compute this quantity.
name  The name by which the vector variable computed by this class should be made available in graphical output files. 
update_flags  This has to be a combination of update_values , update_gradients , update_hessians and update_quadrature_points . Note that the flag update_quadrature_points updates DataPostprocessorInputs::CommonInputs::evaluation_points. If the DataPostprocessor is to be used in combination with DataOutFaces, you may also ask for a update of normals via the update_normal_vectors flag. The description of the flags can be found at UpdateFlags. 
Definition at line 99 of file data_postprocessor.cc.

overridevirtual 
Return the vector of strings describing the names of the computed quantities. Given the purpose of this class, this is a vector with dim entries all equal to the name given to the constructor.
Implements DataPostprocessor< dim >.
Definition at line 110 of file data_postprocessor.cc.

overridevirtual 
This function returns information about how the individual components of output files that consist of more than one data set are to be interpreted. Since the current class is meant to be used for a single vector result variable, the returned value is obviously DataComponentInterpretation::component_is_part repeated dim times.
Reimplemented from DataPostprocessor< dim >.
Definition at line 119 of file data_postprocessor.cc.

overridevirtual 
Return which data has to be provided to compute the derived quantities. The flags returned here are the ones passed to the constructor of this class.
Implements DataPostprocessor< dim >.
Definition at line 128 of file data_postprocessor.cc.

virtualinherited 
This is the main function which actually performs the postprocessing. The second argument is a reference to the postprocessed data which already has correct size and must be filled by this function.
The function takes the values, gradients, and higher derivatives of the solution at all evaluation points, as well as other data such as the cell, via the first argument. Not all of the member vectors of this argument will be filled with data – in fact, derivatives and other quantities will only be contain valid data if the corresponding flags are returned by an overridden version of the get_needed_update_flags() function (implemented in a user's derived class). Otherwise those vectors will be in an unspecified state.
This function is called when the finite element field that is being converted into graphical data by DataOut or similar classes represents scalar data, i.e., if the finite element in use has only a single realvalued vector component.
Definition at line 26 of file data_postprocessor.cc.

virtualinherited 
Same as the evaluate_scalar_field() function, but this function is called when the original data vector represents vector data, i.e., the finite element in use has multiple vector components. This function is also called if the finite element is scalar but the solution vector is complexvalued. If the solution vector to be visualized is complexvalued (whether scalar or not), then the input data contains first all real parts of the solution vector at each evaluation point, and then all imaginary parts.
Definition at line 37 of file data_postprocessor.cc.

private 
Copies of the two arguments given to the constructor of this class.
Definition at line 940 of file data_postprocessor.h.

private 
Definition at line 941 of file data_postprocessor.h.