March 30, 2022 to April 1, 2022
Inria Bordeaux Sud Ouest
Europe/Paris timezone

POD- and RB-Hierarchical Model Reduction Techniques in a Parametrized Setting

Apr 1, 2022, 12:30 PM
50m
Ada Lovelace (Inria Bordeaux Sud Ouest)

Ada Lovelace

Inria Bordeaux Sud Ouest

200 avenue de la ville tour, 33405 TALENCE

Speaker

Prof. Simona Perotto (Politecnico Milano)

Description

Different methods have been proposed in the scientific panorama to offer a compromise between modeling accuracy and computational efficiency. Reduced order models represent a widespread solution in such a direction. In this presentation, we focus on the Hierarchical Model (HiMod) reduction technique, which proved to be an effective approach to discretize CFD configurations where a principal horizontal dynamics overwhelms the transverse ones (e.g., when modeling hemodynamics or signal propagation in waveguides). In particular, we address the generalization of the HiMod procedure to a parametrized setting. We propose two alternative approaches, which combine HiMod with Proper Orthogonal Decomposition (POD) and the Reduced Basis (RB) method, respectively. The two strategies will be analyzed and cross-compared in order to identify the associated pros and cons.

Presentation materials

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