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Using a multi-step procedure consisting of proper orthogonal decomposition, dynamic mode decomposition, and manifold interpolation, the proposed approach allows to accurately recover field solutions from a few large-scale simulations. Numerical experiments for the Rayleigh-B\u00e9nard cavity problem show the effectiveness of such multi-step procedure in two parametric regimes, i.e., medium and high Grashof number. The latter regime is particularly challenging as it nears the onset of turbulent and chaotic behavior. A major advantage of the proposed method in the context of time-periodic solutions is the ability to recover frequencies that are not present in the sampled data.<\/jats:p>","DOI":"10.1007\/s10444-023-10016-4","type":"journal-article","created":{"date-parts":[[2023,3,27]],"date-time":"2023-03-27T02:10:47Z","timestamp":1679883047000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":23,"title":["A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation"],"prefix":"10.1007","volume":"49","author":[{"given":"Martin W.","family":"Hess","sequence":"first","affiliation":[]},{"given":"Annalisa","family":"Quaini","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0810-8812","authenticated-orcid":false,"given":"Gianluigi","family":"Rozza","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,3,20]]},"reference":[{"key":"10016_CR1","doi-asserted-by":"publisher","unstructured":"Benner, P., Grivet-Talocia, S., Quarteroni, A., Rozza, G., Schilders, W., Silveira, L.M. 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