Zilian, A.; Dinkler, D.; Vehre, A. Projection-based reduction of fluid-structure interaction systems using monolithic space-time modes. (English) Zbl 1230.74208 Comput. Methods Appl. Mech. Eng. 198, No. 47-48, 3795-3805 (2009). Summary: The focus of this work is the development of reduced models for engineering applications in complex bidirectional fluid-structure interaction. In the simultaneous solution procedure, velocity variables are used for both fluid and solid, and the whole set of model equations is discretized by a stabilized time-discontinuous space-time finite element method. Flexible structures are modeled using a three-dimensional continuum approach in a total Lagrangian setting considering large displacements and rotations. In the flow domain the incompressible Navier-Stokes equations describe the Newtonian fluid. A continuous finite element mesh is applied to the entire spatial domain, and the discretized model equations are assembled in a single set of algebraic equations, considering the two-field problem as a whole. The continuous fluid-structure mesh with identical orders of approximation for both solid and fluid in space and time automatically yields conservation of mass, momentum and energy at the fluid-structure interface. A mesh-moving scheme is used to adapt the nodal coordinates of the fluid space-time finite element mesh to the structural deformation. The computational approach for strongly coupled fluid-structure interaction is used to create suitable reduced models of generic nonlinear problems. Reduction is performed with monolithic projection-based space-time modes, ensuring strong coupling of fluid and structure in the reduced model. The contribution discusses results using proper orthogonal decomposition (POD) for determination of monolithic space-time modes in the reduction of fluid-structure systems. Cited in 4 Documents MSC: 74S05 Finite element methods applied to problems in solid mechanics 76M10 Finite element methods applied to problems in fluid mechanics 74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) 76D05 Navier-Stokes equations for incompressible viscous fluids Keywords:fluid; structure interaction; monolithic model reduction; strong coupling; space-time finite elements Software:CFX-5 PDFBibTeX XMLCite \textit{A. Zilian} et al., Comput. Methods Appl. Mech. Eng. 198, No. 47--48, 3795--3805 (2009; Zbl 1230.74208) Full Text: DOI References: [1] J.R. Cebral, Loose Coupling Algorithms for Fluid-structure Interaction, Ph.D. Thesis, George Mason University, Fairfax, Virginia, 1996.; J.R. 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