On the Choice of the Higher Order DMD Mode Part for Projection to Physical Coordinates

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F25%3A00386011" target="_blank" >RIV/68407700:21220/25:00386011 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.14311/TPFM.2025.002" target="_blank" >https://doi.org/10.14311/TPFM.2025.002</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14311/TPFM.2025.002" target="_blank" >10.14311/TPFM.2025.002</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On the Choice of the Higher Order DMD Mode Part for Projection to Physical Coordinates

Popis výsledku v původním jazyce

Higher-order dynamic mode decomposition (HODMD) was proposed as a more robust extension of classical dynamic mode decomposition (DMD) designed to overcome DMD’s main weaknesses, i.e. susceptibility to noise and inability to capture highly non-linear dynamics. In this study, we try to tie up one of the remaining loose ends of the HODMD. Particularly, each HODMD mode comprises multiple parts that can be projected back to the physical coordinates. Consequently, there is an apparent ambiguity in which part of the HODMD mode to select for projection back to physical coordinates. This ambiguity is present even in the most recent literature and is nowhere explained properly. However, we state a lemma, supported by proof, that the choice of the HODMD mode part does not matter. Then, the equivalence of HODMD mode parts is illustrated on a HODMD analysis of a wake behind a cylinder in a crossflow at Re ~ 5000.

Název v anglickém jazyce

On the Choice of the Higher Order DMD Mode Part for Projection to Physical Coordinates

Popis výsledku anglicky

Higher-order dynamic mode decomposition (HODMD) was proposed as a more robust extension of classical dynamic mode decomposition (DMD) designed to overcome DMD’s main weaknesses, i.e. susceptibility to noise and inability to capture highly non-linear dynamics. In this study, we try to tie up one of the remaining loose ends of the HODMD. Particularly, each HODMD mode comprises multiple parts that can be projected back to the physical coordinates. Consequently, there is an apparent ambiguity in which part of the HODMD mode to select for projection back to physical coordinates. This ambiguity is present even in the most recent literature and is nowhere explained properly. However, we state a lemma, supported by proof, that the choice of the HODMD mode part does not matter. Then, the equivalence of HODMD mode parts is illustrated on a HODMD analysis of a wake behind a cylinder in a crossflow at Re ~ 5000.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Topical Problems of Fluid Mechanics 2025

ISBN

978-80-87012-05-5

ISSN

2336-5781

e-ISSN

—

Počet stran výsledku

8

Strana od-do

7-14

Název nakladatele

Institute of Thermomechanics, AS CR, v.v.i.

Místo vydání

Prague

Místo konání akce

Praha

Datum konání akce

12. 2. 2025

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

001597458700002