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Original title:
A promising quantitative measure for comparison of power spectral densities
Authors: Belda, Marek ; Isoz, Martin ; Měkuta, F. ; Hyhlík, T.
Document type: Papers
Conference/Event: Topical Problems of Fluid Mechanics 2026, Praha (CZ), 20260218
Year: 2026
Language: eng
Abstract: The development of temporally resolved simulations and experiments has made the comparison of power spectral densities a growing concern. Assessing the spectra and their similarity is vital for many applications, especially for the validation of temporally resolved simulations. Nowadays, the analysis of spectra in fluid dynamics is usually limited only to assessing whether their slopes fit the theoretical expectations regarding the slope of the inertial region of the turbulence cascade. This approach is used even in cases where no expected slope can be derived. The assessment of similarity is then left to the subjective feeling of ”similar”. With the increasing use of high-fidelity results in engineering practice, this approach falls behind. In this contribution, we propose a new method based on the distribution of energy in the spectra to replace the human factor. This method is tested on several spectra that exhibit common properties faced in nowadays problems, such as multiple peaks or inertial region of the turbulence cascade. Presented test results suggest that when combined with classical approaches of fluid mechanics and signal processing, this new method can form the basis for quantitative comparisons of power spectral densities.
Keywords: PSD; spectral comparison; validation methods
Project no.: EH23_020/0008501
Funding provider: GA MŠk
Host item entry: Topical Problems of Fluid Mechanics 2026, ISBN 978-80-87012-92-5, ISSN 2336-5781
Note: Související webová stránka: https://tpfm.it.cas.cz/im/im/proceeding/2026/3
Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: https://hdl.handle.net/11104/0380295
Permalink: http://www.nusl.cz/ntk/nusl-781024
The record appears in these collections:
Research > Institutes ASCR > Institute of Thermomechanics
Conference materials > Papers
Authors: Belda, Marek ; Isoz, Martin ; Měkuta, F. ; Hyhlík, T.
Document type: Papers
Conference/Event: Topical Problems of Fluid Mechanics 2026, Praha (CZ), 20260218
Year: 2026
Language: eng
Abstract: The development of temporally resolved simulations and experiments has made the comparison of power spectral densities a growing concern. Assessing the spectra and their similarity is vital for many applications, especially for the validation of temporally resolved simulations. Nowadays, the analysis of spectra in fluid dynamics is usually limited only to assessing whether their slopes fit the theoretical expectations regarding the slope of the inertial region of the turbulence cascade. This approach is used even in cases where no expected slope can be derived. The assessment of similarity is then left to the subjective feeling of ”similar”. With the increasing use of high-fidelity results in engineering practice, this approach falls behind. In this contribution, we propose a new method based on the distribution of energy in the spectra to replace the human factor. This method is tested on several spectra that exhibit common properties faced in nowadays problems, such as multiple peaks or inertial region of the turbulence cascade. Presented test results suggest that when combined with classical approaches of fluid mechanics and signal processing, this new method can form the basis for quantitative comparisons of power spectral densities.
Keywords: PSD; spectral comparison; validation methods
Project no.: EH23_020/0008501
Funding provider: GA MŠk
Host item entry: Topical Problems of Fluid Mechanics 2026, ISBN 978-80-87012-92-5, ISSN 2336-5781
Note: Související webová stránka: https://tpfm.it.cas.cz/im/im/proceeding/2026/3
Institution: Institute of Thermomechanics AS ČR (web)
Document availability information: Fulltext is available at the institute of the Academy of Sciences.
Original record: https://hdl.handle.net/11104/0380295
Permalink: http://www.nusl.cz/ntk/nusl-781024
The record appears in these collections:
Research > Institutes ASCR > Institute of Thermomechanics
Conference materials > Papers
Record created 2026-08-08, last modified 2026-08-08