.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples_gallery/fields/analyze_scalar_field.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_examples_gallery_fields_analyze_scalar_field.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_examples_gallery_fields_analyze_scalar_field.py:


Visualizing a scalar field
==========================

This example displays methods for visualizing scalar fields.

.. GENERATED FROM PYTHON SOURCE LINES 7-31



.. image-sg:: /examples_gallery/fields/images/sphx_glr_analyze_scalar_field_001.png
   :alt: Original field, Projection on axial coordinate, Smoothed field, Slice of smoothed field at $z=1$
   :srcset: /examples_gallery/fields/images/sphx_glr_analyze_scalar_field_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import matplotlib.pyplot as plt
    import numpy as np

    from pde import CylindricalSymGrid, ScalarField

    # create a scalar field with some noise
    grid = CylindricalSymGrid(7, [0, 4 * np.pi], 64)
    data = ScalarField.from_expression(grid, "sin(z) * exp(-r / 3)")
    data += 0.05 * ScalarField.random_normal(grid)

    # manipulate the field
    smoothed = data.smooth()  # Gaussian smoothing to get rid of the noise
    projected = data.project("r")  # integrate along the radial direction
    sliced = smoothed.slice({"z": 1})  # slice the smoothed data

    # create four plots of the field and the modifications
    fig, axes = plt.subplots(nrows=2, ncols=2)
    data.plot(ax=axes[0, 0], title="Original field")
    smoothed.plot(ax=axes[1, 0], title="Smoothed field")
    projected.plot(ax=axes[0, 1], title="Projection on axial coordinate")
    sliced.plot(ax=axes[1, 1], title="Slice of smoothed field at $z=1$")
    plt.subplots_adjust(hspace=0.8)
    plt.show()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 0.405 seconds)


.. _sphx_glr_download_examples_gallery_fields_analyze_scalar_field.py:

.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-example

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: analyze_scalar_field.ipynb <analyze_scalar_field.ipynb>`

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: analyze_scalar_field.py <analyze_scalar_field.py>`

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: analyze_scalar_field.zip <analyze_scalar_field.zip>`