PASS: Poiseuille flow

A simple parabolic Poiseuille flow in a periodic channel with a constant along-channel acceleration a. The theoretical solution is given by:

u(y)=

2ν

(1/4−y²)

Figure 54 illustrates the maximum error between the computed and theoretical solutions as a function of spatial resolution.

Figure 54: Convergence of the maximum error as a function of resolution (number of grid points across the channel).