Publication detail

Relation between the Fourier transform, POD and VOD

POCHYLÝ, F. FIALOVÁ, S. ŠTEFAN, D.

Original Title

Relation between the Fourier transform, POD and VOD

Type

conference paper

Language

English

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.

Keywords

orthogonal decomposition, swirling flow, Fourier transformation

Authors

POCHYLÝ, F.; FIALOVÁ, S.; ŠTEFAN, D.

Released

27. 6. 2019

Publisher

AIP Conference Proceedings

ISBN

978-0-7354-1858-5

Book

AIP Conference Proceedings

ISBN

1551-7616

Periodical

AIP Conference Proceedings

State

United States of America

Pages from

1

Pages to

8

Pages count

8

URL

https://aip.scitation.org/doi/10.1063/1.5114764

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",
  journal="AIP Conference Proceedings",
  pages="1--8",
  publisher="AIP Conference Proceedings",
  doi="10.1063/1.5114764",
  isbn="978-0-7354-1858-5",
  issn="1551-7616",
  url="https://aip.scitation.org/doi/10.1063/1.5114764"
}