Highly accurate schemes for wave propagation systems
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Highly accurate schemes for wave propagation systems: application to noise reduction in aeroacoustic Nathalie Bartoli, Pierre-Alain Mazet, Franc¸ois Rogier and Yoann Ventribout ONERA 2, av Edouard Belin BP 4025 - 31055 TOULOUSE CEDEX 4 - FRANCE Email: Abstract This paper outlines an Onera internal Project (PRF MAHPSO [9]) for constructing well adapted schemes for wave propagation phenomena. This project consists in developing some highly accurate numerical schemes using Discontinuous Galerkin methods for aeronautical applications: structures (elasto-dynamic), electromagnetism (electromagnetism compatibility) or fluid mechanics (aeroacoustic). An aeroacoustic application is presented and numerical results illustrate the efficiency of the DG method to solve the acoustic diffraction of an air intake and thus reduce the noise out an engine nozzle. Keywords: discontinuous galerkin method, high-order accuracy, aeroacoustic, noise reduction 1 Introduction With the development and analysis of emerging technological problems in the aeronautical field, computational physical applications require mathematical and numerical techniques increasingly powerful. For instance in electromagnetism compatibility domain, Maxwell's equations must be solved over long times and a high-fidelity solution is required. In aeroacoustic applications, for instance the noise control, the high level of accuracy is a crucial point to solve the inverse problem. So, low dispersive and dissipative numerical methods have to be developed to simulate and to con- trol wave propagation phenomena.
Voir
- friedrich's system
- schemes can
- energy can
- order polynomials
- propagation phenomena
- dg method
- problem
- lagrange high
- can accurately
- local refined
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Highly accurate schemes for wave propagation systems: application to noise reduction in aeroacoustic
Nathalie Bartoli, Pierre-Alain Mazet, Franc¸oisRogierandYoannVentribout
ONERA 2, av Edouard Belin BP 4025 - 31055 TOULOUSE CEDEX 4 - FRANCE Email: bartoli@onera.fr
Abstract This paper outlines an Onera internal Project (PRF MAHPSO [9]) for constructing well adapted schemes for wave propagation phenomena. This project consists in developing some highly accurate numerical schemes using Discontinuous Galerkin methods for aeronautical applications: structures (elasto-dynamic), electromagnetism (electromagnetism compatibility) or fluid mechanics (aeroacoustic). An aeroacoustic application is presented and numerical results illustrate the efficiency of the DG method to solve the acoustic diffraction of an air intake and thus reduce the noise out an engine nozzle.
Keywords: discontinuous galerkin method, high-order accuracy, aeroacoustic, noise reduction
Introduction
With the development and analysis of emerging technological problems in the aeronautical field, computational physical applications require mathematical and numerical techniques increasingly powerful. For instance in electromagnetism compatibility domain, Maxwell’s equations must be solved over long times and a high-fidelity solution is required. In aeroacoustic applications, for instance the noise control, the high level of accuracy is a crucial point to solve the inverse problem. So, low dispersive and dissipative numerical methods have to be developed to simulate and to con-trol wave propagation phenomena. The requirement that one can accurately propagate waves over many periods of time suggests that high-order methods should be considered. On the other hand, the use of such methods is traditionally in conflict with the need to consider complex geometries.
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