Generate a python to discretize the $1$D flow domain and employ Finite$-$Volume$-$Method $($FVM$),$ applying no$-$slip boundary conditions at both the top and bottom wall for the geometry below. for below geometry and part $2$ as shown below:

Consider a $1$D Couette$-$Poiseuille flow as shown in the Fig. $1.$ The flow model can be given by Eq$.1.$

$1.$ Couette flow $\frac{dp}{dx}=0,v_{}0$

$2.$ Poiseuille flow $\frac{dp}{dx}0$

$3.$ Conette$-$poisenille flow $\frac{dp}{dx}0,v_{u}0$

Figure $1$: Couette$-$Poiseuille Flow

$1$