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Disappearing vortex problem in vortex identification: Non-existence for selected criteria
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SYSNO ASEP 0559947 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Disappearing vortex problem in vortex identification: Non-existence for selected criteria Author(s) Kolář, Václav (MU-W) SAI, ORCID, RID
Šístek, Jakub (MU-W) RID, ORCID, SAIArticle number 071704 Source Title Physics of Fluids. - : AIP Publishing - ISSN 1070-6631
Roč. 34, č. 7 (2022)Number of pages 5 s. Language eng - English Country US - United States Keywords vortex-identification methods ; velocity-gradient tensor ; decomposition methods Subject RIV BA - General Mathematics OECD category Applied mathematics Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000886771200004 EID SCOPUS 85135027024 DOI 10.1063/5.0099046 Annotation A discontinuous outcome of vortex-identification methods called the disappearing vortex problem (DVP) has been already found for the swirling strength criterion and the Rortex (later renamed as Liutex) method. Here, the opposite property reflecting the situation that the DVP cannot be found for any input data, that is, the non-existence of the DVP, is examined and proved valid for selected criteria based on the velocity-gradient tensor, including Q, lambda-2, and the triple decomposition method. For the Q-criterion and the triple decomposition method, it is done directly, whereas for lambda-2, it is shown using a proof by contradiction. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2023 Electronic address https://doi.org/10.1063/5.0099046
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