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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
On the Choice of the Higher Order DMD Mode Part for Projection to Physical Coordinates
Original language description
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.
Czech name
—
Czech description
—

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)