Kinematic pressure

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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