.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "examples_gallery/fields/random_fields.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_random_fields.py>`
        to download the full example code.

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

.. _sphx_glr_examples_gallery_fields_random_fields.py:


Random scalar fields
====================

This example showcases several random fields

.. GENERATED FROM PYTHON SOURCE LINES 7-30



.. image-sg:: /examples_gallery/fields/images/sphx_glr_random_fields_001.png
   :alt: Uniform, uncorrelated, Gaussian, power-law correlated, Gaussian, cosine correlated, Combined harmonic functions
   :srcset: /examples_gallery/fields/images/sphx_glr_random_fields_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import matplotlib.pyplot as plt

    from pde import ScalarField, UnitGrid

    # initialize grid and plot figure
    grid = UnitGrid([256, 256], periodic=True)
    fig, axes = plt.subplots(nrows=2, ncols=2)

    f1 = ScalarField.random_uniform(grid, -2.5, 2.5)
    f1.plot(ax=axes[0, 0], title="Uniform, uncorrelated")

    f2 = ScalarField.random_normal(grid, correlation="power law", exponent=-6)
    f2.plot(ax=axes[0, 1], title="Gaussian, power-law correlated")

    f3 = ScalarField.random_normal(grid, correlation="cosine", length_scale=30)
    f3.plot(ax=axes[1, 0], title="Gaussian, cosine correlated")

    f4 = ScalarField.random_harmonic(grid, modes=4)
    f4.plot(ax=axes[1, 1], title="Combined harmonic functions")

    plt.subplots_adjust(hspace=0.8)
    plt.show()


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

   **Total running time of the script:** (0 minutes 0.166 seconds)


.. _sphx_glr_download_examples_gallery_fields_random_fields.py:

.. only:: html

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

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

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

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

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

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

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