Optimization-based model order reduction of fluid-structure interaction problems

We introduce optimization-based full-order and reduced-order formulations of fluid-structure interaction problems. We study the flow of an incompressible Newtonian fluid which interacts with an elastic body: we consider an arbitrary Lagrangian Eulerian formulation of the fluid problem and a fully La...

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Bibliographic Details
Published in:	Journal of computational physics Vol. 536; p. 114084
Main Authors:	Taddei, Tommaso, Xu, Xuejun, Zhang, Lei
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.09.2025
Subjects:	Fluid-structure interaction Model order reduction Optimization-based method Partitioned method Model order reduction Partitioned method Fluid-structure interaction Optimization-based method
ISSN:	0021-9991
Online Access:	Get full text
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Summary:	We introduce optimization-based full-order and reduced-order formulations of fluid-structure interaction problems. We study the flow of an incompressible Newtonian fluid which interacts with an elastic body: we consider an arbitrary Lagrangian Eulerian formulation of the fluid problem and a fully Lagrangian formulation of the solid problem; we rely on a finite element discretization of both fluid and solid equations. The distinctive feature of our approach is an implicit coupling of fluid and structural problems that relies on the solution to a constrained optimization problem with equality constraints. We discuss the application of projection-based model reduction to both fluid and solid subproblems: we rely on Galerkin projection for the solid equations and on least-squares Petrov-Galerkin projection for the fluid equations. Numerical results for three model problems illustrate the many features of the formulation.
ISSN:	0021-9991
DOI:	10.1016/j.jcp.2025.114084