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Forum: CFX August 7, 2011, 04:51
Replies: 8
Views: 12,746
Posted By Far
simple definition

Ensemble average : It can be defined as the recorded samples at the fixed spatial location for some non dimensional time (e.g. t/T = 0.25, 0.5, 0.75 and 1.0) and this experiment is repeated for same...
Forum: CFX August 7, 2011, 04:29
Replies: 8
Views: 12,746
Posted By Far
www.cfd-online.com/Wiki/Introduction_to_turbulence...

www.cfd-online.com/Wiki/Introduction_to_turbulence/Statistical_analysis/Ensemble_average

These notes are taken from above link:

In general, the could be realizations of any random variable....
Forum: CFX August 7, 2011, 02:51
Replies: 8
Views: 12,746
Posted By Far
Here is snapshot of notes on time average vs...

Here is snapshot of notes on time average vs ensemble average. Here ensemble average again shows that the both spatial and time factors are considered
Forum: CFX August 7, 2011, 02:35
Replies: 8
Views: 12,746
Posted By Far
In equilibrium systems, time and ensemble...

In equilibrium systems, time and ensemble averages of physical quantities are equivalent due to ergodic exploration of phase space.

This is from paper published in

Phys. Rev. Lett. 98,...
Forum: CFX August 6, 2011, 15:00
Replies: 8
Views: 12,746
Posted By Far
In fluid mechanics, an ensemble is an imaginary...

In fluid mechanics, an ensemble is an imaginary collection of notionally identical experiments.
Each member of the ensemble will have nominally identical boundary conditions and fluid properties. If...
Forum: CFX August 6, 2011, 09:15
Replies: 8
Views: 12,746
Posted By Far
Thanks for reply When running CFD (URANS),...

Thanks for reply

When running CFD (URANS), does they mean same? if they are different how to find them in CFD as one is not going to repeat CFD?

Best Regards
Far
Forum: CFX August 6, 2011, 02:59
Replies: 8
Views: 12,746
Posted By Far
Ensemble averge and time average

Dear Frends

I am studying the boundary layer on the low pressure turbine. I saw the velocity profiles in literature as ensemble average and time average.

Does time average means getting the...
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