Nomenclature

The following is a guide to the terms used in this section.


k	wave number
t	time
E	spectral energy
I	turbulence intensity
T	turbulent time scale
L	turbulent length scale
N	number of samples in random number sequence
, ,	random numbers for pseudo turbulence spectrum
v	velocity magnitude


I	identity tensor


	velocity fluctuation
	position vector
, ,	random vectors for pseudo turbulence spectrum

Scalar (inner, dot) product of two vectors, whose result is a scalar:

(148)

Vector cross product of two vectors, whose result is a vector:

(149)