Model order reduction applied to ALE‐fluid dynamics
Abstract: The Arbitrary Lagrangian Eulerian formulation allows the description of fluid dynamics involving moving and deforming fluid domains as they are found in many fluid‐structure interaction problems. This paper discusses a reduced order approach for ALE incompressible Navier‐Stokes flow formulated on a fixed reference configuration. Based on the proper orthogonal decomposition (POD) for generation of the reduced basis, the supermizer technique is adapted to the formulation involving a non‐affine term and used to ensure the fulfilment of the inf‐sup condition among the velocity and pressure basis. The approach is studied for an extended version of the classical driven‐cavity setup involving a non‐affine parameterization of the prescribed mesh deformation and a time‐dependent non‐homogeneous lid‐flow boundary condition.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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Model order reduction applied to ALE‐fluid dynamics ; volume:19 ; number:1 ; year:2019 ; extent:2
Proceedings in applied mathematics and mechanics ; 19, Heft 1 (2019) (gesamt 2)
- Creator
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Baroli, Davide
Zilian, Andreas
- DOI
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10.1002/pamm.201900437
- URN
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urn:nbn:de:101:1-2022072208051295358809
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:32 AM CEST
Data provider
Deutsche Nationalbibliothek. If you have any questions about the object, please contact the data provider.
Associated
- Baroli, Davide
- Zilian, Andreas