.. _sphx_glr_api_gallery_fluids_shallow_water:

Shallow Water
-------------

The Saint-Venant shallow-water equations: a dam break solved numerically
and compared with its exact solution, and Rossby's geostrophic adjustment
of a height front on a rotating planet.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

    <div class="sphx-glr-thumbnails">

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Without rotation, a step in the height of a shallow layer collapses completely, radiating its energy away as gravity waves. Rossby (1938) showed that on a rotating planet it does not. The linear rotating shallow-water equations">

.. only:: html

  .. image:: /api/gallery/fluids/shallow_water/images/thumb/sphx_glr_plot_rossby_geostrophic_adjustment_thumb.png
    :alt:

  :doc:`/api/gallery/fluids/shallow_water/plot_rossby_geostrophic_adjustment`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">Rossby's geostrophic adjustment: a front that does not spread</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Saint-Venant&#x27;s shallow-water equations (1871) describe flows much wider than they are deep, such as rivers, tides, tsunamis and floods, by the depth h and the depth-averaged velocity u alone:">

.. only:: html

  .. image:: /api/gallery/fluids/shallow_water/images/thumb/sphx_glr_plot_saint_venant_dam_break_thumb.png
    :alt:

  :doc:`/api/gallery/fluids/shallow_water/plot_saint_venant_dam_break`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">The Saint-Venant equations: a dam break</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /api/gallery/fluids/shallow_water/plot_rossby_geostrophic_adjustment
   /api/gallery/fluids/shallow_water/plot_saint_venant_dam_break