Registration-based model reduction of parameterized PDEs with spatio-parameter adaptivity
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| hal.structure.identifier | Institut Polytechnique de Bordeaux [Bordeaux INP] | |
| dc.contributor.author | BARRAL, Nicolas | |
| hal.structure.identifier | Modeling Enablers for Multi-PHysics and InteractionS [MEMPHIS] | |
| dc.contributor.author | TADDEI, Tommaso | |
| hal.structure.identifier | Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts [CARDAMOM] | |
| dc.contributor.author | TIFOUTI, Ishak | |
| dc.date.issued | 2024-02 | |
| dc.identifier.issn | 0021-9991 | |
| dc.description.abstractEn | 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. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.rights.uri | http://creativecommons.org/licenses/by/ | |
| dc.subject.en | parameterized conservation laws | |
| dc.subject.en | model order reduction | |
| dc.subject.en | mesh adaptation | |
| dc.subject.en | registration methods | |
| dc.subject.en | nonlinear approximations | |
| dc.title.en | Registration-based model reduction of parameterized PDEs with spatio-parameter adaptivity | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jcp.2023.112727 | |
| dc.subject.hal | Mathématiques [math] | |
| dc.identifier.arxiv | 2308.01773 | |
| dc.description.sponsorshipEurope | Accurate Roms for Industrial Applications | |
| bordeaux.journal | Journal of Computational Physics | |
| bordeaux.page | 112727 | |
| bordeaux.volume | 499 | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-04371531 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04371531v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Computational%20Physics&rft.date=2024-02&rft.volume=499&rft.spage=112727&rft.epage=112727&rft.eissn=0021-9991&rft.issn=0021-9991&rft.au=BARRAL,%20Nicolas&TADDEI,%20Tommaso&TIFOUTI,%20Ishak&rft.genre=article |
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