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CFD Simulation of Interaction between a Fluid and a Vibrating Profile

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Numerical Mathematics and Advanced Applications ENUMATH 2015

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 112))

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Abstract

This work deals with numerical simulation of incompressible flow over a profile vibrating with two degrees of freedom. The profile can oscillate around prescribed elastic axis and vibrate in vertical direction and its motion is induced by the flow. The finite volume method was chosen for the solution, namely the so called Modified Causon’s Scheme, which is derived from TVD form of the classical predictor-corrector MacCormack scheme and enhanced with the use of the Arbitrary Lagrangian-Eulerian method in order to simulate unsteady flows. Various initial settings are considered (different inlet velocities, initial deviation angles and shifts in vertical direction). Stiffness is modelled both as linear and non-linear. Obtained results are compared with NASTRAN analysis (Čečrdle and Maleček, Verification FEM model of an aircraft construction with two and three degrees of freedom. Technical report R-3418/02, Aeronautical Research and Test Establishment, Prague, Letňany, 2002. In Czech). The resulting critical velocities for unstable oscillations are in the same interval for all simulated cases.

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References

  1. D.M. Causon, High resolution finite volume schemes and computational aerodynamics, in Nonlinear Hyperbolic Equations – Theory, Computation Methods and Applications, ed. by J. Ballmann, R. Jeltsch. Volume 24 of Notes on Numerical Fluid Mechanics (Vieweg, Braunschweig, 1989), pp. 63–74

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  2. J. Čečrdle, J. Maleček, Verification FEM model of an aircraft construction with two and three degrees of freedom. Technical report R-3418/02, Aeronautical Research and Test Establishment, Prague, Letňany, 2002. In Czech

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  3. J. Donea, An arbitrary Lagrangian-Eulerian finite element method for transient fluid-structure interactions. Comput. Methods Appl. Mech. Eng. 33, 689–723 (1982)

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  4. M. Feistauer, J. Felcman, I. Straškraba, Mathematical and Computational Methods for Compressible Flow. Numerical Mathematics and Scientific Computation (Oxford University Press, New York, 2003). ISBN:0-19-850588-4

    MATH  Google Scholar 

  5. P. Furmánek, J. Fürst, K. Kozel, High order finite volume schemes for numerical solution of 2D and 3D transonic flows. Kybernetika 45, 567–579 (2009)

    MathSciNet  MATH  Google Scholar 

  6. J. Fürst, Numerical solution of transonic flow using modern schemes of finite volume method and finite differences, Dissertation thesis (in Czech), ČVUT, Praha, 2001

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  7. P. Sváček, Numerical modelling of aeroelastic behaviour of an airfoil in viscous incompressible flow. Appl. Math. Comput. 217 (11), 5078–5086 (2011). ISSN:0096-3003

    Google Scholar 

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Acknowledgements

This work was partially supported by grant GACR P101/11/0207.

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Correspondence to Petr Furmánek .

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Furmánek, P., Kozel, K. (2016). CFD Simulation of Interaction between a Fluid and a Vibrating Profile. In: Karasözen, B., Manguoğlu, M., Tezer-Sezgin, M., Göktepe, S., Uğur, Ö. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2015. Lecture Notes in Computational Science and Engineering, vol 112. Springer, Cham. https://doi.org/10.1007/978-3-319-39929-4_42

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