Backward facing step flow#

The backward facing step flow is a 2-dimensional incompressible viscous flow. The computational domain is illustrated in Fig. Domain of the backward facing step flow.

../../../_images/domain.png

Fig. 10 Domain of the backward facing step flow#

The flow enters the domain through the left edge of the domain and leaves the domain through the right edge. Other edges are all no-slip solid walls. For example, we can set the inlet velocity to be \(\left.\boldsymbol{u}\right|_{\mathrm{in}}=\begin{bmatrix}1 & 0\end{bmatrix}^\mathsf{T}\) and set the outlet total pressure to be \(\left.P\right|_{\mathrm{out}}=0\). On the solid walls, we just set \(\left.\boldsymbol{u}\right|_{\mathrm{wall}} = \boldsymbol{0}\). See Fig. A snapshot of the backward facing step flow..

../../../_images/velocity_vector_plot.png

Fig. 11 A snapshot of the backward facing step flow.#

For a phyem implementation of the backward facing step flow, click phyem_bfs.py.


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