BARRAL, Nicolas; TADDEI, Tommaso; TIFOUTI, Ishak

doi:10.1016/j.jcp.2023.112727

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Licence d’utilisation du document

BARRAL, Nicolas
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]
Institut Polytechnique de Bordeaux [Bordeaux INP]

TADDEI, Tommaso
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]

TIFOUTI, Ishak
Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM]

Langue

Article de revue

Ce document a été publié dans

Journal of Computational Physics. 2024-02, vol. 499, p. 112727

Elsevier

Résumé en anglais

We propose an automated nonlinear model reduction and mesh adaptation framework for rapid and reliable solution of parameterized advection-dominated problems, with emphasis on compressible flows. The key features of our approach are threefold: (i) a metric-based mesh adaptation technique to generate an accurate mesh for a range of parameters, (ii) a general (i.e., independent of the underlying equations) registration procedure for the computation of a mapping Φ that tracks moving features of the solution field, and (iii) an hyper-reduced least-square Petrov-Galerkin reduced-order model for the rapid and reliable estimation of the mapped solution. We discuss a general paradigm — which mimics the refinement loop considered in mesh adaptation — to simultaneously construct the high-fidelity and the reduced-order approximations, and we discuss actionable strategies to accelerate the offline phase. We present extensive numerical investigations for a quasi-1D nozzle problem and for a two-dimensional inviscid flow past a Gaussian bump to display the many features of the methodology and to assess the performance for problems with discontinuous solutions.< Réduire

Mots clés en anglais

parameterized conservation laws

model order reduction

mesh adaptation

registration methods

nonlinear approximations

DOI

http://dx.doi.org/10.1016/j.jcp.2023.112727

Projet Européen

Accurate Roms for Industrial Applications

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251