Comparison of first and second-order schemes: crowd density, $\rho$.

Section 4.1.2; Figures 10, 11, 12.

Crowd density, $\rho$. First and second-order schemes. Periodic boundary conditions. $x\in(0,1)$. $\varepsilon = 10^{-3}$.

$\Delta t=\Delta x/16$.

$M=32$, $\Delta x= 2^{-5}$.

$M=64$, $\Delta x= 2^{-6}$.

$M=128$, $\Delta x= 2^{-7}$.

$M=256$, $\Delta x= 2^{-8}$.

$M=512$, $\Delta x= 2^{-9}$.

$M=1024$, $\Delta x= 2^{-10}$.

Pedestrian models with congestion effects

Pedro Aceves-Sánchez · Rafael Bailo · Pierre Degond · Zoé Mercier
Mathematical Models and Methods in Applied Sciences, 2024 (to appear).

Back to simulations menu
Back to publication