[lordvon]

Hello all,
I have been trying to retrieve the pressure field from a divergence-free velocity field in 2D incompressible flow. I am using the following formula for the pressure Poisson equation: (underscore denotes partial differentiation)

Laplacian(p) = ( u*u_x + v*u_y )_x + ( u*v_x + v*v_y )_y

(I arrived here from http://cfd.ce.gatech.edu/docs/CEE7751_7.pdf, labeled as Equation 3, and applying continuity: u_x = -v_y)

I apply a Poisson solver (http://arc.aiaa.org/doi/abs/10.2514/6.2012-3068), which I know works properly because I have used it for computing wall distances for a turbulence model (http://www.researchgate.net/publicat...tial_Equations).

I however get a totally wrong solution for pressure on a 2D lid-driven cavity case (The velocity field is very similar to that I get in OpenFOAM).

Any comments or suggestions on this problem of recovering the pressure field from a divergence-free velocity field?

Thanks a ton.