Pipe flow is one of the few areas in which we can derive a mathematical solution to the Navier–Stokes equation.
Over the last few months I was exposed to some SPH solvers and it was interesting to see that non was able to acurately reproduce the velocity profile
$$u(y) = \frac{G}{2\mu} y(h-y), \quad G = -\frac{dp}{dx}$$
for the plain Poiseuille flow. The pressure gradient that drives the flow can be any body force, $h$ is the width of the 2d channel, $\mu$ the viscosity and $u$ is the velocity.
Would it be possible to simulate something like this with diffSPH?