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On the Spurious Mode Generation Induced by Spectral-Like Optimized Interpolation Schemes Used in Computational Acoustics

Part of: Approximations and expansions Numerical approximation and computational geometry Basic methods in fluid mechanics

Published online by Cambridge University Press:  21 July 2016

Guilherme Cunha  and
Stéphane Redonnet
Guilherme Cunha
Affiliation:
Department of Numerical Fluid Mechanics, Onera – French Aerospace Lab, F-92322 Châtillon, France
Stéphane Redonnet*
Affiliation:
Department of Aeroacoustics, Onera – French Aerospace Lab, F-92322 Châtillon, France
*
*Corresponding author. Email address:stephane.redonnet@onera.fr (S. Redonnet)
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Abstract

The present work constitutes a fraction of a more extensive study that is devoted to numerical methods in acoustics. More precisely, we address here the interpolation process, which is more and more frequently used in Computational Acoustics–whether it is for enabling multi-stage hybrid calculations, or for easing the proper handling of complex configurations via advanced techniques such as Chimera grids or Immersed Boundary Conditions. In that regard, we focus on high-order interpolation schemes, so as to analyze their intrinsic features and to assess their effective accuracy. Taking advantage of specific insights that had been previously achieved by the present authors regarding standard high-order interpolation schemes (of centered nature), we here focus on their so-called spectral-like optimized counterparts (of both centered and noncentered nature). The latter spectral-like optimized schemes are analyzed thoroughly thanks to dedicated theoretical developments, which allow highlighting better what their strengths and weaknesses are. Among others, the various ways such interpolation schemes can degrade acoustic signals they are applied to are carefully investigated from a theoretical point-of-view. Besides that, specific criteria that could help in optimizing interpolation schemes better are provided, along with generic rules about how to minimize the signal degradation induced by existing interpolation schemes, in practice.

Keywords

Noncentered interpolationcentered interpolationhigh-orderspectral-like optimizationspurious modes generationcomputational acoustics

MSC classification

Secondary: 65D05: Interpolation 76M25: Other numerical methods 41A05: Interpolation
Type
Research Article
Information
Communications in Computational Physics , Volume 20 , Issue 2 , August 2016 , pp. 325 - 352
Copyright
Copyright © Global-Science Press 2016 

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