Difference between revisions of "SuperFINIX theory manual"
(→Power from SuperFINIX to FINIX) |
(→Power from SuperFINIX to FINIX) |
||
| Line 15: | Line 15: | ||
|<math> P </math> | |<math> P </math> | ||
|The total power in a volume element, | |The total power in a volume element, | ||
| + | |- | ||
| + | |<math> r </math> | ||
| + | |Radial coordinate, | ||
|- | |- | ||
|<math> r_i </math> | |<math> r_i </math> | ||
|Radial coordinate of a radial node in FINIX, | |Radial coordinate of a radial node in FINIX, | ||
|- | |- | ||
| − | |<math> | + | |<math> r_j </math> |
|Radial coordinate of the beginning of a power density block in SuperFINIX, | |Radial coordinate of the beginning of a power density block in SuperFINIX, | ||
|} | |} | ||
Revision as of 13:56, 12 July 2019
Field transfers from SuperFINIX meshes to FINIX meshes
Power from SuperFINIX to FINIX
SuperFINIX receives power densities in blocks that have to be discretized in the radial nodes of FINIX. This discretization is based on assumption that the number of axial elements remains unchanged before and after the discretization. Therefore the discretization is only performed in the radial dimension. The main solvers in FINIX assume linear scaling of power density (and most other variables) between two nodal points. Because of this assumption, the power densities in nodes have to adjusted when integrating over a volume element that is spanned by two radial nodes in different power density blocks. This conserves the total power over the volumes of single elements as well as the whole fuel rod volume. As such, the following condition has to hold true:
-
(1)
where:
The total power in a volume element, 
Radial coordinate, 
Radial coordinate of a radial node in FINIX, 
Radial coordinate of the beginning of a power density block in SuperFINIX,
