From 8e84d4a3cbf165b41c96a3e9e858b74b2c82531f Mon Sep 17 00:00:00 2001 From: Wolfgang Bangerth Date: Wed, 30 Aug 2017 18:27:33 -0600 Subject: [PATCH] Add DataPostprocessorTensor along with documentation. --- .../images/data_postprocessor_tensor_0.png | Bin 0 -> 45318 bytes .../images/data_postprocessor_tensor_1.png | Bin 0 -> 207050 bytes .../images/data_postprocessor_tensor_2.png | Bin 0 -> 222673 bytes include/deal.II/numerics/data_postprocessor.h | 303 +++++++++++++++--- source/numerics/data_postprocessor.cc | 55 ++++ source/numerics/data_postprocessor.inst.in | 1 + 6 files changed, 321 insertions(+), 38 deletions(-) create mode 100644 doc/doxygen/images/data_postprocessor_tensor_0.png create mode 100644 doc/doxygen/images/data_postprocessor_tensor_1.png create mode 100644 doc/doxygen/images/data_postprocessor_tensor_2.png diff --git a/doc/doxygen/images/data_postprocessor_tensor_0.png b/doc/doxygen/images/data_postprocessor_tensor_0.png new file mode 100644 index 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As a consequence, classes derived from DataPostprocessor - * (or DataPostprocessorScalar or DataPostprocessorVector) sometimes + * (or DataPostprocessorScalar, DataPostprocessorVector, or + * DataPostprocessorTensor) sometimes * need to use which cell is currently under investigation. Consequently, * DataOut and similar classes pass the cell they are currently working * on to DataPostprocessor via the classes in this namespace (and @@ -156,9 +157,9 @@ namespace DataPostprocessorInputs * DataPostprocessor::get_needed_update_flags(), and the function * returns (possibly among other flags) * UpdateFlags::update_normal_vectors. Alternatively, a class - * derived from DataPostprocessorScalar or DataPostprocessorVector - * may pass this flag to the constructor of - * DataPostprocessorScalar or DataPostprocessorVector. + * derived from DataPostprocessorScalar, DataPostprocessorVector, + * or DataPostprocessorTensor may pass this flag to the constructor of + * these three classes. */ std::vector > normals; @@ -170,9 +171,9 @@ namespace DataPostprocessorInputs * DataPostprocessor::get_needed_update_flags(), and the function * returns (possibly among other flags) * UpdateFlags::update_quadrature_points. Alternatively, a class - * derived from DataPostprocessorScalar or DataPostprocessorVector - * may pass this flag to the constructor of - * DataPostprocessorScalar or DataPostprocessorVector. + * derived from DataPostprocessorScalar, DataPostprocessorVector, + * or DataPostprocessorTensor may pass this flag to the constructor of + * these three classes. */ std::vector > evaluation_points; @@ -239,10 +240,10 @@ namespace DataPostprocessorInputs * This array is only filled if a user-derived class overloads the * DataPostprocessor::get_needed_update_flags(), and the function * returns (possibly among other flags) - * UpdateFlags::update_gradients. Alternatively, a class derived - * from DataPostprocessorScalar or DataPostprocessorVector may - * pass this flag to the constructor of DataPostprocessorScalar or - * DataPostprocessorVector. + * UpdateFlags::update_gradients. Alternatively, a class + * derived from DataPostprocessorScalar, DataPostprocessorVector, + * or DataPostprocessorTensor may pass this flag to the constructor of + * these three classes. */ std::vector > solution_gradients; @@ -254,10 +255,10 @@ namespace DataPostprocessorInputs * This array is only filled if a user-derived class overloads the * DataPostprocessor::get_needed_update_flags(), and the function * returns (possibly among other flags) - * UpdateFlags::update_hessians. Alternatively, a class derived - * from DataPostprocessorScalar or DataPostprocessorVector may - * pass this flag to the constructor of DataPostprocessorScalar or - * DataPostprocessorVector. + * UpdateFlags::update_hessians. Alternatively, a class + * derived from DataPostprocessorScalar, DataPostprocessorVector, + * or DataPostprocessorTensor may pass this flag to the constructor of + * these three classes. */ std::vector > solution_hessians; }; @@ -303,10 +304,10 @@ namespace DataPostprocessorInputs * This array is only filled if a user-derived class overloads the * DataPostprocessor::get_needed_update_flags(), and the function * returns (possibly among other flags) - * UpdateFlags::update_gradients. Alternatively, a class derived - * from DataPostprocessorScalar or DataPostprocessorVector may - * pass this flag to the constructor of DataPostprocessorScalar or - * DataPostprocessorVector. + * UpdateFlags::update_gradients. Alternatively, a class + * derived from DataPostprocessorScalar, DataPostprocessorVector, + * or DataPostprocessorTensor may pass this flag to the constructor of + * these three classes. */ std::vector > > solution_gradients; @@ -322,10 +323,10 @@ namespace DataPostprocessorInputs * This array is only filled if a user-derived class overloads the * DataPostprocessor::get_needed_update_flags(), and the function * returns (possibly among other flags) - * UpdateFlags::update_hessians. Alternatively, a class derived - * from DataPostprocessorScalar or DataPostprocessorVector may - * pass this flag to the constructor of DataPostprocessorScalar or - * DataPostprocessorVector. + * UpdateFlags::update_hessians. Alternatively, a class + * derived from DataPostprocessorScalar, DataPostprocessorVector, + * or DataPostprocessorTensor may pass this flag to the constructor of + * these three classes. */ std::vector > > solution_hessians; }; @@ -400,16 +401,20 @@ namespace DataPostprocessorInputs * (evaluate_scalar_field() or evaluate_vector_field(), get_names(), get_update_flags() and * get_data_component_interpretation()). * - * To this end there are two classes DataPostprocessorScalar and - * DataPostprocessorVector that are meant to be used if the output quantity is - * either a single scalar or a single vector (here used meaning to have - * exactly dim components). When using these classes, one only has to write a + * To this end there are three classes DataPostprocessorScalar, + * DataPostprocessorVector, and DataPostprocessorTensor that are meant to be + * used if the output quantity is either a single scalar, a single vector + * (here used meaning to have exactly @p dim components), or a single + * tensor (here used meaning to have exactly dim*dim components). + * When using these classes, one only has to write a * constructor that passes the name of the output variable and the update * flags to the constructor of the base class and overload the function that * actually computes the results. * - * The DataPostprocessorVector class documentation also contains an extensive - * example of how it can be used. + * The DataPostprocessorVector and DataPostprocessorTensor class documentations + * also contains a extensive examples of how they can be used. The step-29 + * tutorial program contains an example of using the DataPostprocessorScalar + * class. * * * @ingroup output @@ -519,6 +524,9 @@ public: * DataPostprocessor::evaluate_vector_field(). * * An example of how this class can be used can be found in step-29. + * An example of how the closely related DataPostprocessorVector + * class can be used is found in the documentation of that class. + * The same is true for the DataPostprocessorTensor class. * * @ingroup output * @author Wolfgang Bangerth, 2011 @@ -580,7 +588,7 @@ private: /** * 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 + * quantity (defined as having exactly @p 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 @@ -593,7 +601,8 @@ private: * DataPostprocessor::evaluate_vector_field(). * * An example of how the closely related class DataPostprocessorScalar is used - * can be found in step-29. + * can be found in step-29. An example of how the DataPostprocessorTensor + * class can be used is found in the documentation of that class. * * *

An example

@@ -750,13 +759,8 @@ private: * * deal.II does not currently support outputting tensor-valued quantities, but * they can of course be output as a collection of scalar-valued components of - * the tensor. This means that the current class is not applicable any more, - * but it is not very difficult to derive a true "stress" postprocessor directly - * from the DataPostprocessor class that simply outputs dim*dim - * components of the stress vector as scalars and that is structured in a - * similar way to the postprocessors above. (It has to overload the - * @p evaluate_vector_field() function, however, given that the solution is - * vector valued already.) + * the tensor. This can be facilitated using the DataPostprocessorTensor + * class. The documentation of that class contains an example. * * * @ingroup output @@ -816,6 +820,229 @@ private: +/** + * This class provides a simpler interface to the functionality offered by the + * DataPostprocessor class in case one wants to compute only a single tensor + * quantity (defined as having exactly dim*dim components) from + * the finite element field passed to the DataOut class. + * + * For this case, we would like to output all of these components as parts + * of a tensor-valued quantity. Unfortunately, the various backends that + * write DataOut data in graphical file formats (see the DataOutBase + * namespace for what formats can be written) do not support tensor data + * at the current time. In fact, neither does the DataComponentInterpretation + * namespace that provides semantic information how individual components + * of graphical data should be interpreted. Nevertheless, like + * DataPostprocessorScalar and DataPostprocessorVector, this class helps + * with setting up what the get_names() and get_needed_update_flags() + * functions required by the DataPostprocessor base class should return, + * and so the current class implements these based on information that + * the constructor of the current class receives from further derived + * classes. + * + * (In order to visualize this collection of scalar fields that, together, + * are then supposed to be interpreted as a tensor, one has to (i) use a + * visualization program that can visualize tensors, and (ii) teach it + * how to re-combine the scalar fields into tensors. In the case of + * Visit -- see https://wci.llnl.gov/simulation/computer-codes/visit/ -- + * this is done by creating a new "Expression": in essence, one creates + * a variable, say "grad_u", that is tensor-valued and whose value is + * given by the expression {{grad_u_xx,grad_u_xy}, + * {grad_u_yx, grad_u_yy}}, where the referenced variables are + * the names of scalar fields that, here, are produced by the example + * below. Visit is then able to visualize this "new" variable as a + * tensor.) + * + * All derived classes have to do is implement a constructor and overload + * either DataPostprocessor::evaluate_scalar_field() or + * DataPostprocessor::evaluate_vector_field(). + * + * An example of how the closely related class DataPostprocessorScalar is used + * can be found in step-29. An example of how the DataPostprocessorVector + * class can be used is found in the documentation of that class. + * + * + *

An example

+ * + * 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 class is meant for + * tensor-valued outputs, so we will start with a vector-valued solution: the + * displacement field of step-8. The gradient is a rank-2 tensor (with exactly + * dim*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: + * @code + * template + * class GradientPostprocessor : public DataPostprocessorTensor + * { + * public: + * GradientPostprocessor () + * : + * DataPostprocessorTensor ("grad_u", + * update_gradients) + * {} + * + * virtual + * void + * evaluate_vector_field (const DataPostprocessorInputs::Vector &input_data, + * std::vector > &computed_quantities) const + * { + * // ensure that there really are as many output slots + * // as there are points at which DataOut provides the + * // gradients: + * AssertDimension (input_data.solution_gradients.size(), + * computed_quantities.size()); + * + * for (unsigned int p=0; p grad_u; + * + * DataOut data_out; + * data_out.attach_dof_handler (dof_handler); + * + * std::vector + * data_component_interpretation + * (dim, DataComponentInterpretation::component_is_part_of_vector); + * data_out.add_data_vector (solution, std::vector(dim,"displacement"), + * DataOut::type_dof_data, + * data_component_interpretation); + * data_out.add_data_vector (solution, grad_u); + * data_out.build_patches (); + * data_out.write_vtk (output); + * @endcode + * + * This leads to the following output for the displacement field (i.e., the + * solution) and the gradients (you may want to compare with the solution shown + * in the results section of step-8; the current data is generated on a uniform + * mesh for simplicity): + * + * @image html data_postprocessor_tensor_0.png + * @image html data_postprocessor_tensor_1.png + * + * These pictures show an ellipse representing the gradient tensor at, on average, + * every tenth mesh point. You may want to read through the documentation of the + * Visit visualization program (see https://wci.llnl.gov/simulation/computer-codes/visit/) + * for an interpretation of how exactly tensors are visualizated. + * + * In elasticity, one is often interested not in the gradient of the displacement, + * but in the "strain", i.e., the symmetrized version of the gradient + * $\varepsilon=\frac 12 (\nabla u + \nabla u^T)$. This is easily facilitated with + * the following minor modification: + * @code + * template + * class StrainPostprocessor : public DataPostprocessorTensor + * { + * public: + * StrainPostprocessor () + * : + * DataPostprocessorTensor ("strain", + * update_gradients) + * {} + * + * virtual + * void + * evaluate_vector_field (const DataPostprocessorInputs::Vector &input_data, + * std::vector > &computed_quantities) const + * { + * AssertDimension (input_data.solution_gradients.size(), + * computed_quantities.size()); + * + * for (unsigned int p=0; p +class DataPostprocessorTensor : public DataPostprocessor +{ +public: + /** + * 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. + * + * @param name The name by which the vector variable computed by this class + * should be made available in graphical output files. + * @param update_flags This has to be a combination of @p update_values, @p + * update_gradients and @p update_hessians. If the DataPostprocessor is to + * be used in combination with DataOutFaces, you may also ask for a update + * of normals via the @p update_normal_vectors flag. + */ + DataPostprocessorTensor (const std::string &name, + const UpdateFlags update_flags); + + /** + * 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. + */ + virtual std::vector get_names () const; + + /** + * This functions 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. + */ + virtual + std::vector + get_data_component_interpretation () const; + + /** + * 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. + */ + virtual UpdateFlags get_needed_update_flags () const; + +private: + /** + * Copies of the two arguments given to the constructor of this class. + */ + const std::string name; + const UpdateFlags update_flags; +}; + + + #ifndef DOXYGEN // -------------------- template functions ---------------------- diff --git a/source/numerics/data_postprocessor.cc b/source/numerics/data_postprocessor.cc index 45cf4c3480..67678d14df 100644 --- a/source/numerics/data_postprocessor.cc +++ b/source/numerics/data_postprocessor.cc @@ -149,6 +149,61 @@ get_needed_update_flags () const } + + +// -------------------------- DataPostprocessorTensor --------------------------- + +template +DataPostprocessorTensor:: +DataPostprocessorTensor (const std::string &name, + const UpdateFlags update_flags) + : + name (name), + update_flags (update_flags) +{} + + + +template +std::vector +DataPostprocessorTensor:: +get_names () const +{ + static_assert (dim <= 3, + "The following variable needs to be expanded for dim>3"); + static const char suffixes[] = { 'x', 'y', 'z' }; + + std::vector names; + for (unsigned int d=0; d +std::vector +DataPostprocessorTensor:: +get_data_component_interpretation () const +{ + return + std::vector + (dim*dim, DataComponentInterpretation::component_is_scalar); +} + + +template +UpdateFlags +DataPostprocessorTensor:: +get_needed_update_flags () const +{ + return update_flags; +} + + + + // explicit instantiation #include "data_postprocessor.inst" diff --git a/source/numerics/data_postprocessor.inst.in b/source/numerics/data_postprocessor.inst.in index 589d6ef8b5..307919d1bc 100644 --- a/source/numerics/data_postprocessor.inst.in +++ b/source/numerics/data_postprocessor.inst.in @@ -19,4 +19,5 @@ for (deal_II_dimension : DIMENSIONS) template class DataPostprocessor; template class DataPostprocessorScalar; template class DataPostprocessorVector; + template class DataPostprocessorTensor; } -- 2.39.5