Publication detail
Relation between the Fourier transform, POD and VOD
POCHYLÝ, F. FIALOVÁ, S. ŠTEFAN, D.
English title
Relation between the Fourier transform, POD and VOD
Type
conference paper
Language
en
Original abstract
This paper presents a comparison of a decomposition of unsteady vector fields, based on the principle of Shannon-Kotelnik theorem and singular decomposition methods. The article points out the relation between the discrete Fourier transform based on Kotelnik series and methods of singular Orthogonal Decomposition. It is used with success in the image processing and modal decomposition of the vortex structures and assessing their stability in a fluid flow. The Fourier transform method has the advantage that it is not necessary to solve the problem of the eigenvalues of relatively large orders of the matrices. Both methods are equally effective for qualitative analysis.
English abstract
This paper presents a comparison of a decomposition of unsteady vector fields, based on the principle of Shannon-Kotelnik theorem and singular decomposition methods. The article points out the relation between the discrete Fourier transform based on Kotelnik series and methods of singular Orthogonal Decomposition. It is used with success in the image processing and modal decomposition of the vortex structures and assessing their stability in a fluid flow. The Fourier transform method has the advantage that it is not necessary to solve the problem of the eigenvalues of relatively large orders of the matrices. Both methods are equally effective for qualitative analysis.
Keywords in English
orthogonal decomposition, swirling flow, Fourier transformation
Released
27.06.2019
Publisher
AIP Conference Proceedings
ISBN
978-0-7354-1858-5
ISSN
1551-7616
Book
AIP Conference Proceedings
Pages from–to
1–8
Pages count
8
BIBTEX
@inproceedings{BUT158036,
author="František {Pochylý} and Simona {Fialová} and David {Štefan},
title="Relation between the Fourier transform, POD and VOD",
booktitle="AIP Conference Proceedings",
year="2019",
month="June",
pages="1--8",
publisher="AIP Conference Proceedings",
isbn="978-0-7354-1858-5",
issn="1551-7616"
}