# Courant Number

Written by Jerry Ratzlaff on . Posted in Dimensionless Numbers

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.

## Formulas that use Courant Number

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

### 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