# Courant Number

Courant number, abbreviated as Co, a dimensionless number, is the measure of how much information traverses a computational grid cell in a given time interval.

### Courant Number Formula

\(\large{ Co = \frac{ \Delta t \; U}{ \Delta x } }\)

Where:

\(\large{ Co }\) = Courant number

\(\large{ U }\) = magnitude of the velocity (whose dimension is length/time)

\(\large{ \Delta x }\) = distance between any two consecative points

\(\large{ \Delta t }\) = time interval