HAL: hal-00700824, version 1

Detailed view

Export this paper BibTeX - EndNote - TEI - RefWorks -

POD-ISAT : An Efficient Reduced-order Modeling Method for the representation of Parametrized Finite Element solutions. Application to Aircraft Air Control Systems

Dung Bui 1, Mohamed Hamdaoui 1, Florian De Vuyst 2

(2012-05-23)

A combination of Proper Orthogonal Decomposition (POD) and In Situ Adaptive Tabulation (ISAT) is proposed for the representation of parameter-dependent solutions of coupled partial differential equations (PDE). The accuracy of the method is easily controlled by open parameters that can be adjusted according to the users needs. The method is tested on a coupled fluid-thermal problem: the design of a simplified aircraft air control system. It is successfully compared to the standard POD: while the POD is inaccurate in certain areas of the design parameters space, the POD-ISAT method achieves accuracy thanks to residual based on trust regions. The presented POD-ISAT approach provides flexibility, robustness and tunable accuracy to represent solutions of parametrized PDEs.

1:	Mathématiques Appliquées aux Systèmes - EA 4037 (MAS)
	Ecole Centrale Paris
2:	Centre de Mathématiques et de Leurs Applications (CMLA)
	CNRS : UMR8536 – École normale supérieure de Cachan - ENS Cachan

Subject

:

Physics/Mechanics/Mechanics of the fluids Mathematics/Analysis of PDEs Computer Science/Data Structures and Algorithms Engineering Sciences/Mechanics/Fluids mechanics

Keyword(s): Multiphysics Problems – Reduced-Order Modeling (ROM) – nonintrusive – In-Situ-Adaptive-Tabulation (ISAT) – Proper Orthogonal Decomposition (POD) – Aircraft air control system.

hal-00700824, version 1

http://hal.archives-ouvertes.fr/hal-00700824

oai:hal.archives-ouvertes.fr:hal-00700824

From: Dung Bui <>

Submitted on: Thursday, 24 May 2012 09:55:19

Updated on: Tuesday, 29 May 2012 16:27:59