CFD Online Discussion Forums - Equations solved by potentialFoam

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Equations solved by potentialFoam

The OpenFOAM Extend Wiki explains that the equations solved by potentialFoam are:
$\nabla \cdot \vec{U} = 0$
$\nabla^2 p = 0$

Is that really what potentialFoam does? (I wasn't able to figure out by reading the file potentialFoam.C)

If it is, why does it make sense? I understood that the correct way to solve for the pressure in a potential flow field would be to first solve $\nabla^2 \phi = 0$ , from $\phi$ compute $\vec{U} = \nabla \phi$ , and then compute

using Bernoulli's principle.

Thanks!