Velocity field from pressure distribution of a flow

[hermano]

Hi,

I have calculated the pressure distribution over a 2D porous material with the finite difference method. However, now I want to calculate the velocity field or streamlines of the air flowing through this porous material from my pressure distribution. I have thus the pressure value on each node of the grid. How can I do this?

Thanks

 

[RandomGuy88]

By taking the divergence of the Navier Stokes equations you obtain a Poisson equation that relates the pressure and the velocity at every point in the domain. So if you know the pressure everywhere you can solve this equation for the velocity at every point.

 

[hermano]

Thanks for your answer!

Do you know where I can find some examples on the internet of this? Mostly I find pressure calculations from velocity boundary conditions with the pressure poisson equation but not conversely.

Thanks