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Model order reduction applied to ALE‐fluid dynamics
Author(s) -
Baroli Davide,
Zilian Andreas
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900437
Subject(s) - compressibility , affine transformation , mathematics , eulerian path , basis (linear algebra) , reduction (mathematics) , fluid dynamics , fluid–structure interaction , flow (mathematics) , boundary value problem , computational fluid dynamics , basis function , dynamics (music) , mathematical analysis , lagrangian , mechanics , physics , geometry , finite element method , acoustics , thermodynamics
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.