Reduced order methods applied to aeroacoustic problems solved by integral equations

Abstract : This thesis has two topics : numerical methods for acoustic wave propagation in a flow and reduced order models. In the first topic, we develop a coupled finite element and boundary element method to solve the convected Helmholtz equation, when the flow is uniform outside a bounded domain. In particular, we propose a formulation that is well-posed at all the frequencies of the source. In the second topic, we propose a solution to the classical problem of round-off error accumulation that occurs when computing the a posteriori error bound in the reduced basis method. Furthermore, we propose a non intrusive method for the approximation, in a separated representation form, of linear systems resulting from the finite-dimensional approximation of boundary-value problems depending on one or several parameters
Document type :
Theses
Complete list of metadatas

Cited literature [97 references]  Display  Hide  Download

https://pastel.archives-ouvertes.fr/pastel-00961528
Contributor : Abes Star <>
Submitted on : Thursday, March 20, 2014 - 11:07:12 AM
Last modification on : Saturday, August 10, 2019 - 9:18:02 AM
Long-term archiving on : Friday, June 20, 2014 - 11:00:29 AM

File

TH2013PEST1076_complete.pdf
Version validated by the jury (STAR)

Identifiers

  • HAL Id : pastel-00961528, version 1

Collections

Citation

Fabien Casenave. Reduced order methods applied to aeroacoustic problems solved by integral equations. General Mathematics [math.GM]. Université Paris-Est, 2013. English. ⟨NNT : 2013PEST1076⟩. ⟨pastel-00961528⟩

Share

Metrics

Record views

630

Files downloads

511