Courant Number

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.


Courant Number formula

\(\large{ Co = \frac{ \Delta t \; U}{ \Delta x }  }\) 
Symbol English Metric
\(\large{ Co }\) = Courant number \(\large{dimensionless}\)
\(\large{ U }\) = magnitude of the velocity (whose dimension is length/time) \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{ \Delta x }\) = distance between any two consecative points \(\large{ ft }\) \(\large{ m}\)
\(\large{ \Delta t }\) = time interval \(\large{ sec}\) \(\large{ s}\)


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