How may I decide if a signal is random or not ? The usual way is to plot the signal versus time and decide if it looks random.

There is a mathematical definition for a random signal ? If I want to analyze numerical a signal how may I decide if it is random ?

Thanks in advance.

This has nothing to do with cfd, but anyway... You should preform a fast fourier transform on the signal and then plot it (preferably with Matlab or similar software). If it is a random signal no frequence will differ while a non-random one will have one or several peaks (one peak for each present frequency).

Thanks Anders, actually my problem has connection with CFD because I try to analyze the results from a DNS calculation. I need a criteria for identifying for example if the pressure at a certain point is turbulent or not.

Typically a random signal has a very narrow autocorrelation peak (in either space or time) and the fourier components have no obvious phase relationship to one another. You can also do chi-squared tests to evaluate whether the signal obeys a particular statistical distribution (log-normal, gaussian, poisson, etc). Finally you can analyse whether the statistical moments (mean, variance, etc. ) converge as the number of data points increases.