Method C

this method is the classical method for calculating the density.

Method_C

The density $\langle \rho \rangle_{\Delta x}$ is defined as the number of pedestrians divided by the area of the measurement section:

$\langle \rho \rangle_{\Delta x}=\frac{N}{b_\text{cor}\cdot\Delta x}.$

The spatial mean velocity is the average of the instantaneous velocities $v_i(t)$ for all pedestrians in the measurement area at time $t$ :

$\langle v \rangle_{\Delta x}=\frac{1}{N}\sum_{i=1}^{N}{v_i(t)}.$