.. _GalleryNS2LDC:
=================
Liddriven cavity
=================
The liddriven cavity flow is a incompressible viscous flow.
In 2dimensions, it is usually cast as follows. The domain is set to be
:math:`\Omega=[0,1]^2` with four infinite noslip solid walls. The media
is still initially. From time :math:`t=0`,
the top wall, i.e. :math:`y=1`, moves left with a constant speed, i.e. the lid speed,
:math:`\left.\boldsymbol{u}\right_{\mathrm{lid}}=\begin{bmatrix}1, 0\end{bmatrix}^\mathsf{T}`,
and drives the viscous flow.
.. Benchmark of this flow can be found in `[Benchmark, O. Botella, R. Peyret, Computers & Fluids] `_.

↩️ Back to :ref:`GALLERYNS`.