13. K modeling#
13.1. Characteristics of modeling#
A non-linear 3D thermal modeling is used.
This modeling tests the creation of empirical thermal modes by incremental POD. Parameters are taken in such a way as to find the same modes as in modeling A.
13.2. Characteristics of the mesh#
The mesh contains 27 elements of type HEXA8.
13.3. Tested sizes and results#
We test some values of the primal base (as they are empirical modes, the tests are* done at the nearest sign):
Identification |
Reference type |
Point \(A\) - TEMP -Mode 1 |
|
Point \(A\) - TEMP -Mode 2 |
|
Point \(A\) - TEMP -Mode 3 |
|
We test some values of the dual base (as they are empirical modes, the tests are done to the nearest sign):
Identification |
Reference type |
Point \(A\) - FLUX_NOEU/FLUX - Mode 1 |
|
Point \(A\) - FLUX_NOEU/FLUY -Mode 1 |
|
Point \(A\) - FLUX_NOEU/FLUX - Mode 2 |
|
Point \(A\) - FLUX_NOEU/FLUY -Mode 2 |
|
Point \(A\) - FLUX_NOEU/FLUX - Mode 3 |
|
Point \(A\) - FLUX_NOEU/FLUY -Mode 3 |
|
We test the values of the reduced coordinates (table COOR_REDUIT) \({a}_{m}^{T}\) calculated when extracting empirical modes. For the primal base (temperature):
Identification |
Instant |
Mode |
Reference type |
\({a}_{m=1,t=10s}^{T}\) |
|
1 |
|
\({a}_{m=1,t=4s}^{T}\) |
|
1 |
|
\({a}_{m=3,t=10s}^{T}\) |
|
3 |
|
\({a}_{m=3,t=4s}^{T}\) |
|
3 |
|
For the dual base (heat flow \({\Phi}\)):
Identification |
Instant |
Mode |
Reference type |
\({a}_{m=1,t=10s}^{{\Phi}}\) |
|
1 |
|
\({a}_{m=1,t=4s}^{{\Phi}}\) |
|
1 |
|
\({a}_{m=4,t=10s}^{{\Phi}}\) |
|
4 |
|
\({a}_{m=4,t=4s}^{{\Phi}}\) |
|
4 |
|
13.4. notes#
The calculated modes are strictly identical between POD and POD incremental.