=============== Post-processing =============== Exports are added to the simulation object as a list of :class:`festim.Export` objects: .. code-block:: python import festim as F my_model = F.Simulation() my_model.exports = [..., ...] ------------------- Exporting solutions ------------------- ^^^^^^^^^^^ XDMF export ^^^^^^^^^^^ The most straightforward way to export solutions (concentrations, temperature) with FESTIM is to use the :class:`festim.XDMFExport` class. This class leverages the ``XDMFFile`` class of ``fenics`` and allows solutions to be exported in the XDMF format. The following example shows how to export the solution of a 1D problem: .. testcode:: import festim as F import numpy as np my_model = F.Simulation() my_model.mesh = F.MeshFromVertices(np.linspace(0, 1, 60)) my_model.materials = F.Material(id=1, D_0=1, E_D=0) my_model.boundary_conditions = [ F.DirichletBC(surfaces=[1, 2], value=0, field="solute"), ] my_model.sources = [F.Source(value=1, volume=1, field="solute")] my_model.T = F.Temperature(500) my_model.exports = [ F.XDMFExport( "solute", # the field we want to export label="mobile", # how the field will be labelled in the XDMF file filename="./mobile_conc.xdmf", checkpoint=False, # needed in 1D ) ] my_model.settings = F.Settings( absolute_tolerance=1e-10, relative_tolerance=1e-10, transient=False ) my_model.initialise() my_model.run() .. testoutput:: :options: +ELLIPSIS :hide: ... Running this should produce two files called ``mobile_conc.xdmf`` and `ˋmobile_conc.h5`` in the current directory. The file can then be opened in Paraview or any other software that can read XDMF files. Here are some tips for using Paraview: - Make sure to have the h5 file in the same directory as the XDMF file - Do not modify the name of the files after their creation by FESTIM. This would result in not being able to open the file in paraview because the XDMF points to the h5 file - Open the XDMF file then select the reader Xdmf3 Reader S .. figure:: ../images/paraview_guide_1.png :width: 400 :align: center - Edit the colour map and rescale the colourbar to present the proper view of results .. figure:: ../images/paraview_guide_2.png :width: 400 :align: center - Find out more information on `Paraview tutorials `_ For transient simulations, by default, :class:`festim.XDMFExport` will export the solution at each timestep. It is possible to change this behaviour to limit the number of times the file is written to. By setting the ``mode`` attribute to ``10``, for example, the solution will be exported every 10 timesteps. Setting it to ``last`` will export the solution only at the last timestep. .. testcode:: my_model.exports = [ F.XDMFExport( "solute", label="mobile", filename="./mobile_conc.xdmf", checkpoint=False, mode=10, ) ] The ``checkpoint`` attribute must be set to ``True`` for the XDMF file to be readable by Paraview. ^^^^^^^^^^^^^^^ TXT export (1D) ^^^^^^^^^^^^^^^ The ``TXTExport`` class allows solutions to be exported in a simple text format. It works in 1D only. For multi-dimensional problems, use the :class:`festim.XDMFExport` class instead. .. testcode:: import festim as F my_export = F.TXTExport(field="solute", filename="./mobile_conc.txt") Adding this export to the simulation object will produce a file called ``mobile_conc.txt`` in the current directory. This file will contain the solution of the ``solute`` field at the degrees of freedom of the mesh and at each timestep. To only export at specific times in the simulation, use the ``times`` argument: .. testcode:: my_export = F.TXTExport( field="solute", filename="./mobile_conc.txt", times=[0, 1, 2, 3] ) ^^^^^^^^^^^ Point value ^^^^^^^^^^^ If information about the solution at a specific point is needed, the :class:`festim.PointValue` class can be used. It is implemented as a derived quantity. See :ref:`Derived quantities` for more information. Here are a few examples: .. testcode:: import festim as F my_export = F.PointValue(field="solute", x=[0.5, 0.5, 0.5]) my_export = F.PointValue(field="solute", x=(0.5, 0.5, 0.5)) my_export = F.PointValue(field="solute", x=[0.5, 0.5]) my_export = F.PointValue(field="solute", x=[0.5]) my_export = F.PointValue(field="solute", x=0.5) ------------------ Derived quantities ------------------ In addition to exporting the actual solutions, it is possible to export derived quantities. For instance, you may want to compute the flux of mobile particles at a given boundary. First, you want to create a :class:`festim.DerivedQuantities` object. This will encompass all the derived quantities you want to compute. Then, you can add the derived quantities you want to compute to this object. Finally, you can add the :class:`festim.DerivedQuantities` object to the simulation object. .. testcode:: my_derived_quantities = F.DerivedQuantities( [ F.SurfaceFlux(field="solute", surface=3), F.SurfaceFlux(field="T", surface=1), F.AverageVolume(field="retention", volume=1), F.TotalVolume(field="retention", volume=2), ] ) my_model.exports = [my_derived_quantities] The complete list of derived quantities can be found at: :ref:`Exports`. .. note:: There is a specific derived quantity :class:`festim.AdsorbedHydrogen` which can be used only with :class:`festim.SurfaceKinetics`. ^^^^^^^^^^^^^^^^^^ Accessing the data ^^^^^^^^^^^^^^^^^^ The data can be accessed in three different ways: - directly from the :class:`festim.DerivedQuantities` (plural) object: .. testcode:: my_derived_quantities = F.DerivedQuantities( [ F.SurfaceFlux(field="solute", surface=3), F.AverageVolume(field="T", volume=1), F.AverageVolume(field="retention", volume=1), F.TotalVolume(field="retention", volume=2), ] ) my_model.exports = [my_derived_quantities] my_model.initialise() my_model.run() print(my_derived_quantities.t) print(my_derived_quantities.data) .. testoutput:: :options: +ELLIPSIS :hide: ... - from the :class:`festim.DerivedQuantity` (singular) object (eg. ``F.SurfaceFlux(...)``): .. testcode:: flux_surf_3 = F.SurfaceFlux(field="solute", surface=3) my_derived_quantities = F.DerivedQuantities( [ flux_surf_3, F.AverageVolume(field="T", volume=1), F.AverageVolume(field="retention", volume=1), F.TotalVolume(field="retention", volume=2), ] ) my_model.exports = [my_derived_quantities] my_model.initialise() my_model.run() print(flux_surf_3.t) print(flux_surf_3.data) print(my_derived_quantities[2].data) .. testoutput:: :options: +ELLIPSIS :hide: ... In the previous case, we created a variable ``flux_surf_3`` that is a :class:`festim.DerivedQuantity` object. If this is not possible, the :class:`festim.DerivedQuantity` object can be accessed with the :meth:`festim.DerivedQuantities.filter` method: .. testcode:: my_derived_quantities = F.DerivedQuantities( [ F.SurfaceFlux(field="solute", surface=3), F.AverageVolume(field="T", volume=1), F.AverageVolume(field="retention", volume=1), F.TotalVolume(field="retention", volume=2), ] ) my_model.exports = [my_derived_quantities] my_model.initialise() my_model.run() flux_surf_3 = my_derived_quantities.filter(fields="solute", surfaces=3) print(flux_surf_3.data) .. testoutput:: :options: +ELLIPSIS :hide: ... It is also possible to filter for several attributes values. For example: .. testcode:: total_vol = my_derived_quantities.filter( fields="retention", volumes=[1, 2], instances=F.TotalVolume, ) print(total_vol.data) .. testoutput:: :options: +ELLIPSIS :hide: ... - export and read from a .csv file: .. testcode:: my_derived_quantities = F.DerivedQuantities( [ F.SurfaceFlux(field="solute", surface=3), F.AverageVolume(field="T", volume=1), F.AverageVolume(field="retention", volume=1), F.TotalVolume(field="retention", volume=2), ], filename="./my_derived_quantities.csv", ) my_model.exports = [my_derived_quantities] my_model.initialise() my_model.run() .. testoutput:: :options: +ELLIPSIS :hide: ... ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ Compute and export every N timesteps ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ By default, the derived quantities will be computed at each timestep and exported at the last timestep. This behaviour can be changed by setting the ``nb_iterations_between_compute`` and ``nb_iterations_between_exports`` attributes of the :class:`festim.DerivedQuantities` object. .. code-block:: python my_derived_quantities = F.DerivedQuantities( [ F.SurfaceFlux(field="solute", surface=3), F.AverageVolume(field="T", volume=1), F.AverageVolume(field="retention", volume=1), F.TotalVolume(field="retention", volume=2), ], filename="./my_derived_quantities.csv", nb_iterations_between_compute=3, # compute quantities every 3 timesteps nb_iterations_between_exports=10, # export every 10 timesteps )