[sbaffini]

Originally Posted by FMDenaro

No Paolo, I am talking about the discretized Hodge decomposition at the steady state. If you provide the discrete pressure gradient that satisfies

Div Grad p = Div a*

With the correct BCs you should be able to solve for V.

OOOOOOOHHHHH.... Now I see what you all mean, you're talking about solving one steady state equation once to full convergence.

Ok, I think I agree in general terms, yet I'm not convinced that this is independent from how you treat the non-linearity of the convective term

[FMDenaro]

Originally Posted by sbaffini

OOOOOOOHHHHH.... Now I see what you all mean, you're talking about solving one steady state equation once to full convergence.

Ok, I think I agree in general terms, yet I'm not convinced that this is independent from how you treat the non-linearity of the convective term

Yes, I am talking of solving directly the steady state equation. The discretization of the non linear term must be coincident. The source term in the pressure equation and the discretization of the momentum equation.