Model order reduction applied to ALE‐fluid dynamics [* Cross-Reference *]

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Davide Baroli; Andreas Zilian, 2026, "Model order reduction applied to ALE‐fluid dynamics [* Cross-Reference *]", https://lore.list.lu/citation?persistentId=perma:LIST.JCZS33, LIST Open Repository, V1
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Description
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. (2019-09-04)
***This entry has been automatically imported via OpenAlex by LIST harvest scripts. Please refer to https://doi.org/10.1002/pamm.201900437 for the original and latest version of the publication*** (2026-07-01)
Subject Astronomy and Astrophysics; Engineering; Physics
Keyword Compressibility, Affine transformation, Mathematics, Eulerian path, Basis (linear algebra), Reduction (mathematics), Fluid dynamics, Fluid–structure interaction, Flow (mathematics), Boundary value problem, Applied mathematics, Computational fluid dynamics, Basis function, Dynamics (music), Mathematical analysis, Lagrangian, Mechanics, Physics, Geometry, Finite element method
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