ThermalLocalBasis

The data needed to execute the tutorials below can be loaded here: exampleThermalLocalBasis.zip

This use case aims to validate the methodology POD + ECM for nonlinear transient thermal computations, see Section Publications, article 2. This tutorial illustrates in particular how to include data from more than one HFM computation, and how to construct local reduced-order bases (ROB).

No optional prerequisite: notice that even if the HFM snapshots are computed here using Z-set, the ROM do not require any Z-set license to be run.

Features: construct 2 local-ROBs from 2 HFM simulations

The physical setting is the same as in the tutorial ThermalSequential: a 2D square mesh, with a nonlinear material, and convection heat flux and radiation bondary conditions. The data handling and local ROB construction is the same as in the tutorial MecaSequentialNoZsetLocalBasis.

Results

A comparison between the reduced and reference high-fidelity solutions is illustrated in Fig. 21.

In Fig. 21, the quality of the reduced model is illustrated by comparing it to the high-fidelity reference. The comparison is done on the temperature field.

Fig. 21 Illustration of the ROM accuracy on the temperatre T (left) HFM, (right) pointwise difference between the ROM and the HFM.