.. _navier_stokes-navier_stokes: navier_stokes/navier_stokes.py ============================== **Description** Navier-Stokes equations for incompressible fluid flow. Find :math:`\ul{u}`, :math:`p` such that: .. math:: \int_{\Omega} \nu\ \nabla \ul{v} : \nabla \ul{u} + \int_{\Omega} ((\ul{u} \cdot \nabla) \ul{u}) \cdot \ul{v} - \int_{\Omega} p\ \nabla \cdot \ul{v} = 0 \;, \quad \forall \ul{v} \;, \int_{\Omega} q\ \nabla \cdot \ul{u} = 0 \;, \quad \forall q \;. .. image:: /../doc/images/gallery/navier_stokes-navier_stokes.png :download:`source code ` .. literalinclude:: /../sfepy/examples/navier_stokes/navier_stokes.py