Skip to main content

On Finite Element Approximation of Aeroelastic Problems with Consideration of Laminar-Turbulence Transition

  • Conference paper
  • First Online:
Book cover Numerical Mathematics and Advanced Applications ENUMATH 2019

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 139))

  • 1669 Accesses

Abstract

This paper focus on a finite element approximation of aeroelastic problems. The turbulent flow interacting with flexibly supported airfoil is considered. The flow is described by unsteady Reynolds averaged Navier–Stokes equations, where the main attention is paid to the simulation of turbulent flow with the transition. The motion of the computational domain is addressed and the coupled aeroelastic problem is discretized. Numerical results are shown.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 299.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 379.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 379.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. P. Sváček, J. Horáček, Numerical simulation of aeroelastic response of an airfoil in flow with laminar-turbulence transition, Applied Mathematics and Computation 267 (2015) 28–41.

    Article  MathSciNet  Google Scholar 

  2. O. Winter, Sváček, On numerical simulation of flexibly supported airfoil in interaction with incompressible fluid flow using laminar-turbulence transition model, Computers & Mathematics with Applications(in press) (2020). https://doi.org/10.1016/j.camwa.2019.12.022. https://www.sciencedirect.com/science/article/pii/S0898122119305966.

  3. Y. C. Fung, An Introduction to the Theory of Aeroelasticity, Courier Dover Publications, 2008.

    MATH  Google Scholar 

  4. M. Feistauer, J. Horáček, M. R˚užička, P. Sváček, Numerical analysis of flow-induced nonlinear vibrations of an airfoil with three degrees of freedom, Computers & Fluids 49 (1) (2011) 110–127. https://doi.org/10.1016/j.compfluid.2011.05.004.

  5. P. Sváček, M. Feistauer, J. Horáček, Numerical simulation of flow induced airfoil vibrations with large amplitudes, Journal of Fluids and Structures 23 (3) (2007) 391–411.

    Article  Google Scholar 

  6. S. B. Pope, Turbulent Flows, Cambridge University Press, Cambridge, 2000.

    Book  Google Scholar 

  7. F. Nobile, Numerical approximation of fluid-structure interaction problems with application to haemodynamics, Ph.D. thesis, Ecole Polytechnique Federale de Lausanne (2001).

    Google Scholar 

  8. F. R. Menter, Two-equations eddy-viscosity turbulence models for engineering applications, AIAA Journal 32 (8) (1994) 1598–1605.

    Article  Google Scholar 

  9. F. Menter, R. Langtry, S. Völker, Transition modelling for general purpose CFD codes, Flow, Turbulence and Combustion 77 (1-4) (2006) 277–303.

    Article  Google Scholar 

  10. J. C. Kok, Resolving the dependence on free-stream values for the k-omega turbulence model, Tech. rep., National Aerospace Laboratory NLR (1999).

    Google Scholar 

  11. D. C. Wilcox, Turbulence Modeling for CFD, DCW Industries, 1993.

    Google Scholar 

  12. R. B. Langtry, F. R. Menter, Correlation-based transition modeling for unstructured parallelized computational fluid dynamics codes, AIAA Journal 47 (12) (2009) 2894–2906.

    Article  Google Scholar 

  13. R. Codina, A discontinuity capturing crosswind-dissipation for the finite element solution of the convection diffusion equation, Computational Methods in Applied Mechanical Engineering 110 (1993) 325–342.

    Article  MathSciNet  Google Scholar 

  14. G. Lube, G. Rapin, Residual-based stabilized higher-order FEM for advection-dominated problems, Computer Methods in Applied Mechanics and Engineering 195 (33-36) (2006) 4124–4138.

    Article  MathSciNet  Google Scholar 

  15. R. Codina, Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods, Computational Method in Applied Mechanical Engineering 190 (2000) 1579–1599.

    Article  MathSciNet  Google Scholar 

  16. P. Sváček, On implementation aspects of finite element method and its application, Advances in Computational Mathematics 45 (4) (2019) 2065–2081.

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

Authors acknowledge support from the EU Operational Programme Research, Development and Education, and from the Center of Advanced Aerospace Technology (CZ.02.1.01/0.0/0.0/16_019/0000826), Faculty of Mechanical Engineering, Czech Technical University in Prague.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Petr Sváček .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Sváček, P. (2021). On Finite Element Approximation of Aeroelastic Problems with Consideration of Laminar-Turbulence Transition. In: Vermolen, F.J., Vuik, C. (eds) Numerical Mathematics and Advanced Applications ENUMATH 2019. Lecture Notes in Computational Science and Engineering, vol 139. Springer, Cham. https://doi.org/10.1007/978-3-030-55874-1_94

Download citation

Publish with us

Policies and ethics