Development of optimized interpolation schemes with spurious modes minimization. (12th August 2015)

• Record Type: Journal Article
• Authors: Cunha, G.; Redonnet, S.
• Is Part Of: International journal for numerical methods in fluids. Volume 80:Number 2(2016)
• Page Start: 140
• Page End: 158
• Publication Date: 2015-08-12
• Subjects: interpolation -- high‐order -- spurious modes -- aliasing -- spectral‐like optimization; Fluid dynamics -- Mathematics -- Periodicals; 532
• DOI: 10.1002/fld.4079
• Languages: English
• ISSNs: 0271-2091

Abstract

Summary: This work constitutes a fraction of a more extensive effort, which ultimate objective is the development of advanced aeroacoustics hybrid methods. Within this framework, we here focus on the interpolation step, on which generally rely all coupling processes that link altogether the various stages constituting any given hybrid method. In that regard, previous works by the present authors had revealed the intrinsic limitations and subsequent side effects (e.g., signal degradation) that weight on usual high‐order interpolation schemes, whether the latter are of centered or noncentered nature, as well as optimized in an acoustic sense or not. Based on the outcomes of such study, here, a novel optimization technique for interpolation schemes is proposed. Such a technique, which is designed hereafter as the interpolation by parts (IBP), allows interpolating accurately a given signal, while minimizing its possible degradation. As a result, compared with its standard counterpart, any IBP ‐optimized interpolation scheme exhibits improved characteristics, such as a spurious modes generation that is greatly reduced (up to a 99 % factor). Such improved characteristics are here validated on the basis of three test cases (of 1 D, 2 D and 3 D nature), which illustrates the potentialities offered by the IBP optimization technique. Copyright © 2015 John Wiley & Sons, Ltd. Abstract : In the present work, a novel optimization technique for interpolation processes is proposed. Such a technique, which is hereafter designed as the interpolation by parts, allows interpolating accurately a given signal, while minimizing its possible degradation in terms of spurious modes generation. As a result, compared with its standard counterpart, any interpolation by parts‐optimized interpolation scheme exhibits improved characteristics, such as a generation of spurious modes that is greatly reduced (up to a 99% factor).