This Website is not fully compatible with Internet Explorer.
For a more complete and secure browsing experience please consider using Microsoft Edge, Firefox, or Chrome

Numerical Simulation of Coupled Fluid-Solid Problems: State of the Art and Applications

NAFEMS International Journal of CFD Case Studies

Volume 5, January 2006

ISSN 1462-236X


Numerical Simulation of Coupled Fluid-Solid Problems: State of the Art and Applications

Michael Schäfer
Fachgebiet Numerische Berechnungsverfahren im Maschinenbau Technische Universität Darmstadt Petersenstr. 30, D-64287 Darmstadt, Germany

https://doi.org/10.59972/jpj2gjcx

Keywords: Numerical Simulation, Coupled Fluid-Solid, Continuum Mechanical Framework, Discretization and Coupled Mechanisms

 


Abstract

The paper gives a survey on relevant topics related to the numerical simulation of coupled fluid-solid problems. Firstly, the corresponding problems are classified according to different possible coupling mechanisms. The modelling of the problems within a continuum mechanical framework are discussed and numerical aspects related to discretization and solution procedures are addressed. Exemplary approaches for these issues are indicated. A variety of numerical examples involving various coupling mechanisms are presented, including a discussion of questions of numerical accuracy and computational efficiency of numerical solution procedures.

References

[1] M. Böhm, K. Wechsler, and M. Schäfer, A parallel moving grid multigrid method for flow simulation in rotor-stator configurations, Int. J. Num. Meth. Eng., 41, 175-189 (1998).

[2] A. Brand, Multilevel adaptive solutions to boundary value problems, Math. Comp., 31, 333-390 (1977).

[3] F. Casadei, J.P. Halleux, An Algorithm for Permanent Fluid{Structure Interaction in Explicit Transient Dynamics, Comp. Meth. Appl. Mech. Eng., 128, 231-289 (1995).

[4] F. Casadei, J.P. Halleux, A. Sala, F. Chille, Transient Fluid-Structure Interaction Algorithms for Large Industrial Applications, Comput. Meth. Appl. Mech. Engrg., 190, 3081-3110} (2001)

[5] J.R. Cebral, R. Löhner, Conservative Load Projection and Tracking for Fluid-Structure Problems, AIAA, 35, 687-692 (1997).

[6] I. Demirdzic and M. Peric, Finite volume method for prediction of fluid flow in arbitrary shaped domains with moving boundaries, Int. J. Num. Meth. Fluids, 10, 771-790 (1990).

[7] P. Droll, R. Sieber, A. Cozzani, and M. SchÄafer, Numerical Investigation of the Performance of a Deep Space Antenna under Environmental Loads. Bauingenieur, 77, 7-12 (2002).

[8] F. Durst and M. Schäfer, A parallel blockstructured multigrid method for the prediction of incompressible flows, Int. J. Num. Meth. Fluids, 22, 549-565 (1996).

[9] C.A. Fellipa, K.C. Park, C. Farhat, Partitioned Analysis of Coupled Mechanical Systems, Comput. Meth. Appl. Mech. Engrg., 190, 3247-3270 (2001)

[10] J. Ferziger and M. Peric, Computational Methods for Fluid Dynamics, Springer, Berlin (1996).

[11] W. Hackbusch, Multi-Grid Methods and Applications. Springer, Berlin (1985).

[12] Lesoinne, M., Farhat, C.: Geometric Conservation Laws for Flow Problems with Moving Boundaries and Deformable Meshes, and their Impact on Aeroelastic Computations, Comp. Meth. Appl. Mech. Engrg., 134, 71-90 (1996).

[13] M. Lesoinne, C. Farhat, Improved Staggered Algorithms for the Serial and Parallel Solution of Three-Dimensional Nonlinear Transient Aeroelastic Problems, Proceedings of WCCM '98, Buenos Aires (1998).

[14] P. Le Tallec, J. Mouro, Fluid Structure Interaction with Large Structural Displacements, Comput. Meth. Appl. Mech. Engrg., 190, 3039-3067 (2001).

[15] S. Meynen, M. SchÄafer, Numerical Simulation of Fluid-Structure Interaction for Fluid Damped Oscillations, in W. Wunderlich (ed.), Proceedings of the ECCM, München (1999).

[16] S.V. Patankar and D.B. Spalding, A calculation procedure for heat, mass and momentum transfer in three dimensional parabolic flows, Int. J. Heat Mass Transfer, 15, 1787-1806 (1972).

[17] S.B. Pope, Turbulent Flows. University Press, Cambridge (2000).

[18] M. Schäfer, Numerik im Maschinenbau. Springer, Berlin (1999).

[19] M. Schäfer, S. Meynen, I. Teschauer, and R. Sieber, Multigrid Methods for Coupled Fluid-Solid Problems, in ECCOMAS 2000 Proceedings (CD-Rom), 20 pages, Barcelona (2000).

[20] M. Schäfer, G. Sieber, R. Sieber, and I. Teschauer, Coupled Fluid-Solid Problems: Examples and Reliable Numerical Simulation, in W.A. Wall, K.-U. Bletzinger and K. Schweizerhof (eds.), Trends in Computational Structural Mechanics, pages 751-762, CIMNE, Barcelona (2001).

[21] M. Schäfer and I. Teschauer, Numerical simulation of coupled fluid-solid problems, Comp. Meth. Appl. Mech. Eng., 190, 3645-3667 (2001).

[22] G. Sieber, Numerical Simulation of Fluid-Structure Interaction Using Loose Coupling Methods, Doktorarbeit, Fachgebiet Numerische Berechnungsverfahren im Maschinenbau, TU Darmstadt (2001).

[23] R. Sieber and M. SchÄafer, Dynamic Meshes for Fluid-Structure Interaction, in Large-Scale Scientific Computing, Lecture Notes in Computer Science 2179, pages 387-397, Springer, Berlin (2001).

[24] R. Sieber, M. Schäfer, G. Lauschke, and F. Schierholz, Strömungssimulation in Wendelund Dispersionsrührwerken, Chemie Ingenieur Technik, 71, 1159-1163 (1999).

[25] I. Teschauer, Numerische Simulation gekoppelter Fluid-Struktur Probleme mittels der Finiten-Volumen-Methode, Doktorarbeit, Fachgebiet Numerische Berechnungsverfahren im Maschinenbau, TU Darmstadt (2001).

[26] C. Tropea and K. Hufnagel, Private communication, Department of Fluid Mechanics and Aerodynamics, TU Darmstadt (2000).

[27] G. Vatkova, S. Meynen, and M. SchÄafer, Numerical simulation of fluid-structure interaction using a weakly coupled approach, in M. Griebel et al. (eds.), Large Scale Scientific Computations of Engineering and Environmental Problems II, pages 414-421, Vieweg, Braunschweig (2000).

[28] W.A. Wall, Fluid-Struktur-Interaktion mit stabilisierten Finiten Elementen, PhD Thesis, Institut für Baustatik, UniversitÄ at Stuttgart (1999).

[29] W.L. Wood, Practical Time-Stepping Schemes, Oxford University Press (1985).

[30] V. Yakhot and S.A. Orszag, Renormalization group analysis of turbulence. I. Basic theory, J. Sci. Comput., 1, 3-51 (1986).

Cite this paper

Michael Schäfer, Numerical Simulation of Coupled Fluid-Solid Problems: State of the Art and Applications, NAFEMS International Journal of CFD Case Studies, Volume 5, 2006, Pages 75-95, https://doi.org/10.59972/jpj2gjcx

Document Details

ReferenceCFDJ5-7
AuthorSchäfer. M
LanguageEnglish
TypeJournal Article
Date 2nd January 2006
OrganisationTechnische Universität Darmstadt

Download

Purchase Download

Order RefCFDJ5-7 Download
Non-member Price £5.00 | $6.38 | €5.88

Back to Previous Page