Status: Bibliographieeintrag
Standort: ---
Exemplare:
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| Online-Ressource |
Verfasst von: | Frei, Stefan [VerfasserIn]  |
| Richter, Thomas [VerfasserIn]  |
Titel: | Efficient approximation of flow problems with multiple scales in time |
Verf.angabe: | S. Frei and T. Richter |
E-Jahr: | 2020 |
Jahr: | January 1, 2020 |
Umfang: | 28 S. |
Fussnoten: | Gesehen am 04.08.2020 |
Titel Quelle: | Enthalten in: Multiscale modeling & simulation |
Ort Quelle: | Philadelphia, Pa. : SIAM, 2003 |
Jahr Quelle: | 2020 |
Band/Heft Quelle: | 18(2020), 2, Seite 942-969 |
ISSN Quelle: | 1540-3467 |
Abstract: | In this article we address flow problems that carry a multiscale character in time. In particular we consider the Navier--Stokes flow in a channel on a fast scale that influences the movement of the boundary which undergoes a deformation on a slow scale in time. We derive an averaging scheme that is of first order with respect to the ratio of time scales $\epsilon$. In order to cope with the problem of unknown initial data for the fast-scale problem, we assume near-periodicity in time. Moreover, we construct a second-order accurate time discretization scheme and derive a complete error analysis for a corresponding simplified ODE system. The resulting multiscale scheme does not ask for the continuous simulation of the fast-scale variable and shows powerful speedups up to 1:10,000 compared to a resolved simulation. Finally, we present some numerical examples for the full Navier--Stokes system to illustrate the convergence and performance of the approach. |
DOI: | doi:10.1137/19M1258396 |
URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.
Volltext ; Verlag: https://doi.org/10.1137/19M1258396 |
| Volltext: https://epubs.siam.org/doi/abs/10.1137/19M1258396 |
| DOI: https://doi.org/10.1137/19M1258396 |
Datenträger: | Online-Ressource |
Sprache: | eng |
K10plus-PPN: | 1726143325 |
Verknüpfungen: | → Zeitschrift |
Efficient approximation of flow problems with multiple scales in time / Frei, Stefan [VerfasserIn]; January 1, 2020 (Online-Ressource)
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