  A theoretical analysis is presented for turbulent flows, applicable for
canonical (channel, boundary-layer and free jet) geometries. Momentum and
energy balance for a control volume moving at the local mean velocity decouples
the fluctuation from the mean velocities, resulting in a symmetric set of
transport equations for the Reynolds normal and shear stresses. In this
formalism, gradients of the fluctuating velocities represent flux vectors,
easily verifiable using the available DNS data. A derivative of this transport
concept is the scaling for the Reynolds stresses in the dissipation space.
Combining with the statistical energy distribution function, a full
prescription of turbulent flows is enabled in the basic canonical geometries.
Based on this theoretical foundation, more complex flow configurations may be
addressed with far more efficient algorithms.
