Skip to main content

Transient Mesh Adaptivity with Large Rigid-Body Displacements

  • Conference paper
Proceedings of the 17th International Meshing Roundtable

Summary

This paper presents a procedure for computing fluid-structure interaction problems when the boundaries of the domain undergo large displacements. The algorithm is based on both mesh motion and mesh adaptation techniques. More specifically, we use a node repositioning algorithm based on an elastic analogy together with a mesh adaptation procedure based on local mesh modifications [1]. This paper also includes a new technique for eliminating sliver tetrahedra. Some computational results are finally presented that include statistics on mesh quality measures.

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 219.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 279.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Li, X., Shephard, M.S., Beall, M.W.: 3d anisotropic mesh adaptation by mesh modification. Computer Methods in Applied Mechanics and Engineering 194, 4915–4950 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  2. Almeida, R., Feijoo, P., Galeao, A., Padra, C., Silva, R.: Adaptive finite element computational fluid dynamics using an anisotropic error estimator. Computer Methods in Applied Mechanics and Engineering 182(3-4), 379–400 (2002)

    Article  MathSciNet  Google Scholar 

  3. Borouchaki, H., George, P., Hecht, F., Laug, P., Saltel,: Delaunay mesh generation governed by metric specifications - part i: Algorithms and part ii: Applications. Finite Elements in Analysis and Design 25, 61–83, 85–109 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  4. Remacle, J.-F., Li, X., Shephard, M., Flaherty, J.: Anisotropic adaptive simulation of transient flows using Discontinuous Galerkin methods. International Journal for Numerical Methods in Engineering 62, 899–923 (2004)

    Article  MathSciNet  Google Scholar 

  5. Cavallo, P.A., Sinha, N., Feldman, G.M.: Parallel unstructured mesh adaptation method for moving body applications. AIAA Journal 43, 1937–1945 (2005)

    Article  Google Scholar 

  6. Baker, T.J.: Mesh movement and metamorphosis. Engineering With Computers 18(3), 188–198 (2002)

    Article  Google Scholar 

  7. Mathur, S.R.: Unsteady flow simulations using unstructured sliding meshes. AIAA Journal (June 1994)

    Google Scholar 

  8. Lijewski, L.E., Suhs, N.E.: Time-accurate computational fluid dynamics approach to transonic store separation trajectory prediction. Journal of Aircraft 31(4), 886–891 (1994)

    Article  Google Scholar 

  9. Compère, G., Marchandise, E., Remacle, J.-F.: Transient adaptivity applied to free surface flows. Journal of Computational Physics 227, 1923–1942 (2008)

    Article  MATH  Google Scholar 

  10. Stein, K., Tezduyar, T., Benney, R.: Mesh moving techniques for fluid-structure interactions with large displacements. Journal of Applied Mechanics 70, 58–63 (2003)

    Article  MATH  Google Scholar 

  11. Peraire, J., Peiro, J., Morgan, K.: Adaptive remeshing for three dimensional compressible flow computation. Journal of Computational Physics 103, 269–285 (1992)

    Article  MATH  Google Scholar 

  12. Ainsworth, M., Oden, J.T.: A Posteriori Error Estimation in Finite Element Analysis. Wiley, New York (2000)

    MATH  Google Scholar 

  13. Arya, S., Mount, D.M., Netanyahu, N.S., Silverman, R., Wu, A.Y.: An optimal algorithm for approximate nearest neighbor searching. Journal of the ACM 45, 891–923 (1998), http://www.cs.umd.edu/~mount/ANN/

    Article  MathSciNet  MATH  Google Scholar 

  14. de l’Isle, E.B., George, P.L.: Modeling, Mesh Generation, and Adaptive Numerical Methods for Partial Differential Equations, I. In: Babuska, I., et al. (eds.), vol. 75, pp. 97–128. Springer, Heidelberg (1993)

    Google Scholar 

  15. de Cougny, H.L., Shephard, M.S., Georges, M.K.: Explicit node point mesh smoothing within the octree mesh generator. Scorec report, Rensselaer Polytechnic Institute, 10 (1990)

    Google Scholar 

  16. Liu, A., Joe, B.: On the shape of tetrahedra from bisection. Mathematics of computation 63, 141–154 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  17. Tezduyar, T.E., Behr, M., Mittal, S., Liou, J.: Computation of unsteady incompressible flows with the finite element methods–space-time formulations, iterative strategies and massively parallel implementations vol. 246, ASME Pressure Vessels Piping Div Publ PVP., ASME, NY, pp. 7–24 (1992)

    Google Scholar 

  18. Piperno, S., Farhat, C.: Partitioned procedures for the transient solution of coupled aeroelastic problems - part ii: energy transfer analysis and three-dimensional applications. Computer Methods in Applied Mechanics and Engineering 190, 3147–3170 (2001)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Compère, G., Remacle, J.F., Marchandise, E. (2008). Transient Mesh Adaptivity with Large Rigid-Body Displacements. In: Garimella, R.V. (eds) Proceedings of the 17th International Meshing Roundtable. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87921-3_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-87921-3_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87920-6

  • Online ISBN: 978-3-540-87921-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics