(Conventional) decomposition of energy transport

For example, meridional transport of energy e v (v: meridional wind velocity)
By types of motion
Denoting time average by an over-bar and deviation from it by a prime,
_____                      _ _              ____
 e v                     =   e v          +  e'v'
time mean transport =  stationary component + transient component
Denoting zonal average by [...] and deviation from it by *,
[ e v ]                  = [e][v]           + [e*v*]
zonal mean transport = axisymmetric part + "wave" part
Conventional decomposition of time mean, zonal mean energy transport:
stationary axisymmetric + stationary "wave" + transient component
(mean meridional circulation)+(stationary eddies)+(transient eddies)
By types of energy
"Dry energy transport" (C_p T + g z) v
Transport of the "sensible" part of internal energy C_v T v
Transport of potential energy g z v
Work done by pressure (p/ρ) v = R T v (R: gas constant for air)
Transport of "latent" energy associated with water vapor L q v
(Note: Transport of kinetic energy is small and ignored.)