Surrogate modeling of time-domain electromagnetic wave propagation via dynamic mode decomposition and radial basis function - Inria - Institut national de recherche en sciences et technologies du numérique Accéder directement au contenu
Article Dans Une Revue Journal of Computational Physics Année : 2023

Surrogate modeling of time-domain electromagnetic wave propagation via dynamic mode decomposition and radial basis function

Résumé

This work introduces an 'equation-free' non-intrusive model order reduction (NIMOR) method for surrogate modeling of time-domain electromagnetic wave propagation. The nested proper orthogonal decomposition (POD) method, as a prior dimensionality reduction technique, is employed to extract the time-and parameter-independent reduced basis (RB) functions from a collection of high-fidelity (HF) solutions (or snapshots) on a properly chosen training parameter set. A dynamic mode decomposition (DMD) method, resulting in a further dimension reduction of the NIMOR method, is then used to predict the reduced-order coefficient vectors for future time instants on the previous training parameter set. The radial basis function (RBF) is employed for approximating the reduced-order coefficient vectors at a given untrained parameter in the future time instants, leading to the applicability of DMD method to parameterized problems. A main advantage of the proposed method is the use of a multi-step procedure consisting of the POD, DMD and RBF techniques to accurately and quickly recover field solutions from a few large-scale simulations. Numerical experiments for the scattering of a plane wave by a dielectric disk, by a multi-layer disk, and by a 3-D dielectric sphere nicely illustrate the performance of the NIMOR method.
Fichier principal
Vignette du fichier
podhodmdrbfmaxwell.pdf (7.88 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04401269 , version 1 (17-01-2024)

Licence

Identifiants

Citer

Kun Li, Yixin Li, Liang Li, Stéphane Lanteri. Surrogate modeling of time-domain electromagnetic wave propagation via dynamic mode decomposition and radial basis function. Journal of Computational Physics, 2023, 491, pp.112354. ⟨10.1016/j.jcp.2023.112354⟩. ⟨hal-04401269⟩
20 Consultations
5 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More