14. L modeling#
14.1. Characteristics of modeling#
A non-linear 3D thermal modeling is used.
This modeling tests the creation of empirical modes in thermal by POD incremental in recovery mode. We take parameters in order to find the same modes as in the modeling A. That is to say, the following sequence is carried out:
- Calculation of a first empirical base on a non-linear thermal calculation with the same
assumptions that K modeling;
- Enrichment of this base by calculating an incremental POD on the**same* calculation of
non-linear thermal.
This sequence makes it possible to find exactly the same modes as the K and L models.
14.2. Characteristics of the mesh#
The mesh contains 27 elements of type HEXA8.
14.3. Tested sizes and results#
We test some values of the primal base (as they are empirical modes, the tests are done to the nearest sign):
Identification |
Reference type |
Point \(A\) - TEMP -Mode 1 |
|
Point \(A\) - TEMP -Mode 2 |
|
Point \(A\) - TEMP -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 |
|
14.4. notes#
The calculated modes are strictly identical between POD (modeling A), POD incremental (K modeling) and POD incremental in recovery mode (L modeling).