Nonlocal flux

nonlocal flux

The vertical turbulent transport of a quantity such as heat per unit area per time across any height index k, between source heights j to destination heights i, where i and j are on opposite sides of k vertically.

It is nonlocal because i and j need not be neighbors. Using kinematic heat flux as an example,

where n is the total number of grid cells in a vertical column, Δz is the vertical thickness of each grid cell (i.e., spacing between grid points), Δt is the time increment over which eddies transport heat starting from time t, θ_a is the potential temperature at grid cell a, and c_ab is the transilient matrix specifying the fraction of air that ended in destination cell a originated at source cell b, for a and b dummy indices.
See transilient turbulence theory, nonlocal mixing.

INDEX
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
0
1
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