Keywords :
Fluid-structure interaction; Monolithic model reduction; Space-time finite elements; Strong coupling; Algebraic equations; Computational approach; Conservation of mass; Discretized models; Engineering applications; Finite element meshes; Flow domains; Fluid-structure interfaces; Fluid-structure systems; Fluid-structures; Incompressible Navier Stokes equations; Large displacements; Mesh-moving schemes; Model equations; Newtonian fluids; Nodal coordinates; Nonlinear problems; Proper orthogonal decompositions; Reduced model; Simultaneous solution; Space and time; Space time finite element; Space-time finite element method; Spatial domains; Structural deformation; Total Lagrangian; Flexible structures; Fluid dynamics; Fluid structure interaction; Fluids; Linearization; Models; Navier Stokes equations; Set theory; Finite element method
Abstract :
[en] 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. © 2009 Elsevier B.V. All rights reserved.
ZILIAN, Andreas ;
University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit Dinkler, D.; Technische Universität Braunschweig, Institut für Statik, Beethovenstraße 51, 38106 Braunschweig, Germany
Vehre, A.; Technische Universität Braunschweig, Institut für Statik, Beethovenstraße 51, 38106 Braunschweig, Germany
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