Construction de modèles réduits numériques pour les écoulements compressibles linéarisés
type: Dataset
description: In nuclear and thermal power stations, some installations produce acoustics/mechanics coupling which may cause important damage and bad operating performances. Prediction and understanding of these physical phenomena need the development of high-fidelity numerical models which are prohibitive to solve. Therefore, these models cannot be used for control or even parametric optimization applications. In this work, the goal is to use some high-fidelity solutions for building reduced-order models which are able to calculate again these solutions but in real-time, and also to predict solutions for other close configurations. Modelling of compressible disturbances in a complex mean flow is given by hyperbolic linearized Euler equations which create some difficulties to perform classical reduction methods. Theoretical and numerical problems are then introduced when a projection method is applied. In particular, the conservation of stability and the control of energy of reduced-order models are studied and a new stabilization procedure is proposed. Parametric sensitivity is also discussed. Afterwards, stable reduced-order models are developed in an industrial code to consider complex geometries. Furthermore, modelling of solids with fixed or vibrating walls are taken into account. Particularly, small vibrations are modelled thanks to a transpiration law. This boundary condition is implemented in the framework of linear control theory to apply reduction methods. Finally, reduced-order models are tested to predict solutions in real time. For instance, frequency and amplitude of the loading can change. The developed reduced order model should be used for aeroelastic industrial problems with more realistic costs.
landing page: https://theses.hal.science/tel-00946632
identifier: NNT: 2012ECDL0001
keyword: compressible-flows
keyword: decomposition-orthogonale-propre
keyword: ecoulements-compressibles
keyword: infoeu-reposemanticsdoctoralthesis
keyword: modeles-reduits
keyword: proper-orthogonal-decomposition-pod
keyword: reduced-order-models
keyword: spiotherengineering-sciences-physicsother
keyword: stabilite
keyword: stability
keyword: symetriseur
keyword: symmetriser
keyword: theses
keyword: transpiration
issued: 2026-05-06T10:30:54.540934
modified: 2026-05-06T10:30:54.540939
language: fr
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Construction de modèles réduits numériques pour les écoulements compressibles linéarisés
type: Distribution
format: HTML
access URL: https://theses.hal.science/tel-00946632
issued: 2026-05-06T10:30:54.606039
modified: 2026-05-06T10:30:54.513683