Singular limit behaviour: $\Delta x= 2^{-7}$.

Section 4.1.3; Figure 13.

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

$M=128$, $\Delta x= 2^{-7}$, $\Delta t=\Delta x/16$.

Crowd density, $\rho$.

Rescaled congestion, $\varepsilon\phi$.

Flux, $J$.

Desired momentum, $q$.

Desired velocity, $\omega$.

Physical velocity, $u$.

Pedestrian models with congestion effects

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


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