RIFFAUD, Sébastien; BERGMANN, Michel; FARHAT, Charbel; GRIMBERG, Sebastian; IOLLO, Angelo

doi:10.1016/j.jcp.2021.110336

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RIFFAUD, Sébastien
Institut de Mathématiques de Bordeaux [IMB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]

BERGMANN, Michel
Institut de Mathématiques de Bordeaux [IMB]
Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS]

FARHAT, Charbel
Department of Aeronautics and Astronautics [Stanford] [AA Stanford]
Department of Mechanical Engineering [Stanford]
Institute for Computational and Mathematical Engineering [Stanford] [ICME]

Langue

Article de revue

Ce document a été publié dans

Journal of Computational Physics. 2021, vol. 437

Elsevier

Résumé en anglais

The discontinuous Galerkin domain decomposition (DGDD) method couples subdomains of high-fidelity polynomial approximation to regions of low-dimensional resolution for the numerical solution of systems of conservation laws. In the low-fidelity regions, the solution is approximated by empirical modes constructed by Proper Orthogonal Decomposition and a reduced-order model is used to predict the solution. The high-dimensional model instead solves the system of conservation laws only in regions where the solution is not amenable to a low-dimensional representation. The coupling between the high-dimensional and the reduced-order models is then performed in a straightforward manner through numerical fluxes at discrete cell boundaries. We show results from application of the proposed method to parametric problems governed by the quasi-1D and 2D compressible Euler equations. In particular, we investigate the prediction of unsteady flows in a converging-diverging nozzle and over a NACA0012 airfoil in presence of shocks. The results demonstrate the stability and the accuracy of the proposed method and the significant reduction of the computational cost with respect to the high-dimensional model.< Réduire

Mots clés en anglais

Reduced-order model

Domain decomposition

Proper Orthogonal Decomposition

Discontinuous Galerkin method

ECSW method

DOI

http://dx.doi.org/10.1016/j.jcp.2021.110336

Projet Européen

Accurate Roms for Industrial Applications

Origine

Importé de hal

Unités de recherche

Institut de Mathématiques de Bordeaux (IMB) - UMR 5251