| Projection-based reduction of fluid-structure interaction systems using monolithic space-time modes |
| English |
| 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] |
| 2009 |
| Computer Methods in Applied Mechanics and Engineering |
| 198 |
| 47-48 |
| 3795-3805 |
| Yes (verified by ORBilu) |
| 0045-7825 |
| [en] 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 |
| [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. |
| http://hdl.handle.net/10993/11167 |
| 10.1016/j.cma.2009.08.010 |
