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?
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
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?