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Proceedings of the 20th International Meshing Roundtable pp 99–121Cite as

Anisotropic Goal-Oriented Mesh Adaptation for Time Dependent Problems

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Summary

We present a new algorithm for combining an anisotropic goal-oriented error estimate with the mesh adaptation fixed point method for unsteady problems. The minimization of the error on a functional provides both the density and the anisotropy (stretching) of the optimal mesh. They are expressed in terms of state and adjoint. This method is used for specifying the mesh for a time sub-interval. A global fixed point iterates the re-evaluation of meshes and states over the whole time interval until convergence of the space-time mesh. Applications to unsteady blast-wave are presented.

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References

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Author information

Authors and Affiliations

  1. INRIA Roquencourt, Domaine de Voluceau, 78150, Rocquencourt, France

    Frederic Alauzet

  2. INRIA Sophia Antipolis, 2004 route de Lucioles, 06902, Sophia-Antipolis, France

    Anca Belme & Alain Dervieux

Authors
  1. Frederic Alauzet
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  2. Anca Belme
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  3. Alain Dervieux
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Editor information

Editors and Affiliations

  1. Sandia National Laboratories, P.O. Box 5800, 87185, Albuquerque, NM, USA

    William Roshan Quadros

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© 2011 Springer-Verlag Berlin Heidelberg

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Alauzet, F., Belme, A., Dervieux, A. (2011). Anisotropic Goal-Oriented Mesh Adaptation for Time Dependent Problems. In: Quadros, W.R. (eds) Proceedings of the 20th International Meshing Roundtable. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24734-7_6

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  • DOI: https://doi.org/10.1007/978-3-642-24734-7_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24733-0

  • Online ISBN: 978-3-642-24734-7

  • eBook Packages: EngineeringEngineering (R0)

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