For constant density problems the the system of equations can be simplified. The incompressible solvers transform the pressure from static pressure, \( p_s \) [Pa] to kinematic pressure \( p_k \), i.e.

\[ p_k = \frac{p_s}{\rho} \qquad \mathrm{[m^2/s^2]} \]

Note that the kinematic pressure has the name p in OpenFOAM solvers, the same as the name for the static pressure p. Accordingly, to interpret the results from incompressible solvers, the kinematic pressure should be multiplied by the reference density (constant) value.

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