Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Students · Traffic Flow

Traffic Flow for a fish school

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a fish school live below — adjust the inputs and watch it respond, right in your browser.

Traffic Flow StudioLive

Nagel–Schreckenberg model · phantom jams

Controls

Speed1×

A ring road of cars. Random braking alone creates “phantom” traffic jams that travel backward — no accident needed.

Presets

Density

Random braking

▶ Run in Python

Data Inspector

Cells160

Avg speed0.00

Density0.30

ModelNagel–Schreckenberg

Governing equation

q = ρ v = 0.30 \times 0.00 = 0.000

Reading this result: Above critical density: stop-and-go waves dominate. Average speed drops sharply — this is the falling branch of the fundamental diagram.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

Also for:Researchers Educators Engineers Hobbyists & Makers K-12 Students First Responders General version →

More with Traffic Flow

Traffic Flow for a traffic jam Traffic Flow for a bird flock Traffic Flow for a forest fire Traffic Flow for a crowd evacuation Traffic Flow for an ant colony Traffic Flow for a rumor spreading Traffic Flow for a market bubble Traffic Flow for a power-grid cascade

Frequently asked questions

Is this good for students?: Yes — this version of "Traffic Flow for a fish school" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.