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A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation

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Bibliographic Details
Main Authors: Martin W., Hess, Annalisa, Quaini, Gianluigi, Rozza
Format: Book
Language:English
Published: Springer 2023
Subjects:
data-driven model reduction
Rayleigh-Bénard cavity problem
Online Access:https://link.springer.com/article/10.1007/s10444-023-10016-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7605
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spelling oai:localhost:PNK-76052023-04-06T02:05:19Z A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation Martin W., Hess Annalisa, Quaini Gianluigi, Rozza data-driven model reduction Rayleigh-Bénard cavity problem CC BY This work introduces a novel approach for data-driven model reduction of time-dependent parametric partial differential equations. 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-Bénard 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. 2023-04-06T02:05:19Z 2023-04-06T02:05:19Z 2023 Book https://link.springer.com/article/10.1007/s10444-023-10016-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7605 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic data-driven model reduction
Rayleigh-Bénard cavity problem
spellingShingle data-driven model reduction
Rayleigh-Bénard cavity problem
Martin W., Hess
Annalisa, Quaini
Gianluigi, Rozza
A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation
description CC BY
format Book
author Martin W., Hess
Annalisa, Quaini
Gianluigi, Rozza
author_facet Martin W., Hess
Annalisa, Quaini
Gianluigi, Rozza
author_sort Martin W., Hess
title A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation
title_short A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation
title_full A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation
title_fullStr A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation
title_full_unstemmed A data-driven surrogate modeling approach for time-dependent incompressible Navier-Stokes equations with dynamic mode decomposition and manifold interpolation
title_sort data-driven surrogate modeling approach for time-dependent incompressible navier-stokes equations with dynamic mode decomposition and manifold interpolation
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10444-023-10016-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7605
_version_ 1762456091234402304
score 8.881002

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