Algorithmic treatment of shells and free form-membranes in FSI. (English) Zbl 1323.74078

Bungartz, Hans-Joachim (ed.) et al., Fluid-structure interaction. Modelling, simulation, optimisation. Proceedings of the workshop, Hohenwart, Germany, October 2005. Berlin: Springer (ISBN 3-540-34595-7/pbk). Lecture Notes in Computational Science and Engineering 53, 336-355 (2006).
Summary: The aim of this contribution is to propose a methodology for the analysis and improvement of light, thin-walled structures with reference to aeroelastic effects. Those kind of problems demand for the appropriate combination of different physical and numerical disciplines to account for the relevant factors inherent to the simulation of light, thin-walled structures undergoing large displacements as well as highly turbulent air flows. To fulfill these requirements the occurring wind-structure interaction is accessed by a surface-coupled fluid-structure interaction (FSI) method. This is realized in a modular and flexible software environment with the use of a partitioned coupling approach: the structural field is solved by the in-house finite element program CARAT using several finite element types and advanced solution techniques for form finding, nonlinear and dynamical problems. The flow field is solved by the CFD software package CFX-5 of ANSYS Inc. A prerequisite to allow for the assessment of aeroelastic problems, beyond the mere exchange of data between the two physical fields, is the utilization of stable as well as efficient coupling strategies. In particular, it is shown that in the case of lightweight structures interacting with incompressible fluid flows the coupling strategy plays an important role regarding the feasibility of the simulations. This contribution will present theory and realization of a corresponding implementation enhanced by illustrative examples. Moreover, the comprehensiveness of this approach opens the possibility for multiphysics optimization.
For the entire collection see [Zbl 1097.76002].


74S05 Finite element methods applied to problems in solid mechanics
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
74K25 Shells
74K15 Membranes


Full Text: DOI


[1] T. Belytschko, W.K. Liu, and B. Moran. \(Nonlinear finite elements for continua and structures\). John Wiley&Sons Ltd., Chichester, 2000. · Zbl 0959.74001
[2] M. Bischo., W.A. Wall, K.-U. Bletzinger, and E. Ramm. Models and.- nite elements for thin-walled structures. In Erwin Stein, René de Borst, and Thomas J.R. Hughes, editors, \(Encyclopedia of Computational Mechanics\), pages 59-138. John Wiley&Sons, Ltd., Chichester, 2004.
[3] K.-U. Bletzinger and E. Ramm. A general finite element approach to the form finding of tensile structures by the updated reference strategy. \(International Journal of Space Structures\), 14(2):131-145, 1999.
[4] J. Chung and G.M. Hulbert. A time integration algorithm for structural dynamics with improved numerical dissipation: the generalized-\(\'a\) method. \(Journal of Applied Mechanics\), 60:371-375, 1993. · Zbl 0775.73337
[5] C. Farhat. CFD-based nonlinear computational aeroelasticity. In Erwin Stein, René de Borst, and Thomas J.R. Hughes, editors, \(Encyclopedia of Computational Mechanics\), pages 459-480. John Wiley&Sons, Ltd., Chichester, 2004.
[6] C.Farhat, M. Lesoinne, and P. LeTallec. Load and motion transfer algorithms for fluid/structure interaction problems with non-matching discrete interfaces: Momentum and energy conservation, optimal discretization and application to aeroelasticity. \(Computer Methods in Applied Mechanics and Engineering\), 157:95-114, 1998. · Zbl 0951.74015
[7] C. A. Felippa, K.C. Park, and C. Farhat. Partitioned analysis of coupled mechanical systems. \(Computer Methods in Applied Mechanics and Engineering\), 190:3247-3270, 2001. · Zbl 0985.76075
[8] M. Glück, M. Breuer, F. Durst, A. Halfmann, and E. Rank. Computation of fluid-structure interaction on lightweight structures. \(Journal of Wind Engineering and Industrial Aerodynamics\), 89:1351-1368, 2001.
[9] D.J. Johns and C.B. Sharma. On the mechanism of wind-excited ovalling vibrations of thin circular cylindrical shells. In Eduard Naudascher, editor, \(Flow-induced structural vibrations\). Springer Verlag, Berlin, 1974.
[10] P. Le Tallec and J. Mouro. Fluid structure interaction with large structural displacements. \(Computer Methods in Applied Mechanics and Engineering\), 190:3039-3067, 2001. · Zbl 1001.74040
[11] F.R. Menter. Two-equation eddy-viscosity turbulence models for engineering applications. \(AIAA Journal\), 32(8):1598-1605, 1994.
[12] M. Kuntz and F.R. Menter. Numerical flow simulation with moving grids. In \(STAB Conference\), Bremen, 2004. · Zbl 1323.76057
[13] D.P. Mok and W.A. Wall. Partitioned analysis schemes for the transient interaction of incompressible flows and nonlinear.exible structures. In W.A. Wall, K.-U. Bletzinger, and K. Schweizerhof, editors, \(Trends in Computational Structural Mechanics\), pages 689-698, Barcelona, 2001. CIMNE.
[14] E. Ramm and W.A. Wall. Shell structures - a sensitive interrelation between physics and numerics. \(International Journal for Numerical Methods in Engineering\), 60:381-427, 2004. · Zbl 1060.74572
[15] W.A. Wall. \(Fluid-Struktur-Interaktion mit stabilisierten Finiten Elementen\). PhD thesis, Universität Stuttgart, Stuttgart, 1999.
[16] R. Wüchner and K.-U. Bletzinger. Stress-adapted numerical form finding of pre-stressed surfaces by the updated reference strategy. \(International Journal for Numerical Methods in Engineering\), 64:143-166, 2005. · Zbl 1094.74056
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.