Dr Rafael Bailo — Singular limit behaviour: desired velocity, $\omega$. — Pedestrian models with congestion effects

Desired velocity, $\omega$. Second-order scheme. Periodic boundary conditions. $x\in(0,1)$. $\varepsilon \in \{10^{-2},10^{-3},10^{-4},10^{-5}\}$.

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

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

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

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

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

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

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

Pedro Aceves-Sánchez · Rafael Bailo · Pierre Degond · Zoé Mercier
Mathematical Models and Methods in Applied Sciences, 34 (6), 2024.