.. _ThermalLocalBasis: ThermalLocalBasis ================= The data needed to execute the tutorials below can be loaded here: :download:`exampleThermalLocalBasis.zip ` This use case aims to validate the methodology POD + ECM for nonlinear transient thermal computations, see Section :ref:`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 :ref:`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 :ref:`MecaSequentialNoZsetLocalBasis`. Results ------- A comparison between the reduced and reference high-fidelity solutions is illustrated in :numref:`res_th_seq_localROB`. In :numref:`res_th_seq_localROB`, the quality of the reduced model is illustrated by comparing it to the high-fidelity reference. The comparison is done on the temperature field. .. figure:: res.jpg :name: res_th_seq_localROB :align: center :width: 75% Illustration of the ROM accuracy on the temperatre ``T`` (left) HFM, (right) pointwise difference between the ROM and the HFM.