.. _navier_stokes-navier_stokes2d_iga: navier_stokes/navier_stokes2d_iga.py ==================================== **Description** Navier-Stokes equations for incompressible fluid flow in 2D solved in a single patch NURBS domain using the isogeometric analysis (IGA) approach. 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 \;. The domain geometry was created by:: sfepy-mesh iga-patch -2 -d 0.1,0.1 -s 10,10 -o meshes/iga/block2d.iga View the results using:: sfepy-view block2d.vtk -2 .. image:: /../doc/images/gallery/navier_stokes-navier_stokes2d_iga.png :download:`source code ` .. literalinclude:: /../sfepy/examples/navier_stokes/navier_stokes2d_iga.py