| 206 |
|
The expression for the energy flux can be re-written as another |
| 207 |
|
ellipsoid centered on $(x,y,z) = 0$: |
| 208 |
|
\begin{equation} |
| 209 |
< |
x^2 K_c^x + y^2 K_c^y + z^2 K_c^z = (K_c^x + K_c^y + K_c^z + J_z) |
| 209 |
> |
x^2 K_c^x + y^2 K_c^y + z^2 K_c^z = (K_c^x + K_c^y + K_c^z - J_z) |
| 210 |
|
\label{eq:fluxEllipsoid} |
| 211 |
|
\end{equation} |
| 212 |
< |
The spatial extent of the {\it flux ellipsoid} is governed both by a |
| 213 |
< |
targetted value, $J_z$ as well as the instantaneous values of the |
| 212 |
> |
The spatial extent of the {\it flux ellipsoid equation} is governed |
| 213 |
> |
both by a targetted value, $J_z$ as well as the instantaneous values of the |
| 214 |
|
kinetic energy components in the hot bin. |
| 215 |
|
|
| 216 |
|
To satisfy an energetic flux as well as the conservation constraints, |
