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Eulerian Techniques for Fluid-Structure Interactions : Part I - Modeling and Simulation

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2015

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Richter, Thomas
Wick, Thomas

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https://doi.org/10.1007/978-3-319-10705-9_74
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ABDULLE, Assyr, ed., Simone DEPARIS, ed., Daniel KRESSNER, ed. and others. Numerical Mathematics and Advanced Applications - ENUMATH 2013 : Proceedings of ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013. Cham: Springer, 2015, pp. 745-753. Lecture Notes in Computational Science and Engineering. 103. ISSN 1439-7358. eISSN 2197-7100. ISBN 978-3-319-10704-2. Available under: doi: 10.1007/978-3-319-10705-9_74

Zusammenfassung

This contribution is the first part of two papers on the Fully Eulerian formulation for fluid-structure interactions. We derive a monolithic variational formulation for the coupled problem in Eulerian coordinates. Further, we present the Initial Point Set method for capturing the moving interface. For the discretization of this interface problem, we introduce a modified finite element scheme that is locally fitted to the moving interface while conserving structure and connectivity of the system matrix when the interface moves. Finally, we focus on the time-discretization for this moving interface problem.

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Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Couple Problem, Arbitrary Lagrangian Eulerian, Immerse Boundary Method, Eulerian Formulation, Solid Domain

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Numerical Mathematics and Advanced Applications - ENUMATH 2013, 26. Aug. 2013 - 30. Aug. 2013, Lausanne
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ISO 690FREI, Stefan, Thomas RICHTER, Thomas WICK, 2015. Eulerian Techniques for Fluid-Structure Interactions : Part I - Modeling and Simulation. Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lausanne, 26. Aug. 2013 - 30. Aug. 2013. In: ABDULLE, Assyr, ed., Simone DEPARIS, ed., Daniel KRESSNER, ed. and others. Numerical Mathematics and Advanced Applications - ENUMATH 2013 : Proceedings of ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013. Cham: Springer, 2015, pp. 745-753. Lecture Notes in Computational Science and Engineering. 103. ISSN 1439-7358. eISSN 2197-7100. ISBN 978-3-319-10704-2. Available under: doi: 10.1007/978-3-319-10705-9_74
BibTex
@inproceedings{Frei2015Euler-55887,
  year={2015},
  doi={10.1007/978-3-319-10705-9_74},
  title={Eulerian Techniques for Fluid-Structure Interactions : Part I - Modeling and Simulation},
  number={103},
  isbn={978-3-319-10704-2},
  issn={1439-7358},
  publisher={Springer},
  address={Cham},
  series={Lecture Notes in Computational Science and Engineering},
  booktitle={Numerical Mathematics and Advanced Applications - ENUMATH 2013 : Proceedings of ENUMATH 2013, the 10th European Conference on Numerical Mathematics and Advanced Applications, Lausanne, August 2013},
  pages={745--753},
  editor={Abdulle, Assyr and Deparis, Simone and Kressner, Daniel},
  author={Frei, Stefan and Richter, Thomas and Wick, Thomas}
}
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