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Reynolds decomposition

(mathematical separation of average and fluctuating parts of a quantity)

Reynolds decomposition is a mathematical separation of a quantity (an evolving field) into its average and its fluctuating parts. For example:

u(x,y,z,t) = u(x,y,z) + u'(x,y,z,t)

It is used to help deal with the Navier-Stokes equations.

The fluctuating component has a non-linear component which is called the Reynolds stress or Reynolds stresses. It accounts for turbulence.

In analysis of fluid motions (e.g., atmospheres), this sort of decomposition, a partitioning of fluid motion into the mean versus the fluctuations might be done for a single directional component, e.g., specifically for the meridional flow.

(mathematics,fluid dynamics,field)

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