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A time-adaptive fluid-structure interaction method for thermal coupling

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Computing and Visualization in Science

Abstract

The thermal coupling of a fluid and a structure is of great significance for many industrial processes. As a model for cooling processes in heat treatment of steel we consider the surface coupling of the compressible Navier-Stokes equations bordering at one part of the surface with the heat equation in a solid region. The semi-discrete coupled system is solved using stiffly stable SDIRK methods of higher order, where on each stage a fluid-structure-coupling problem is solved. For the resulting method it is shown by numerical experiments that a second order convergence rate is obtained. This property is further used to implement a simple time-step control, which saves considerable computational time and, at the same time, guarantees a specified maximum error of time integration.

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Authors and Affiliations

  1. Department of Mathematics and Natural Science, University of Kassel, Heinrich-Plett-Str. 40, 34125, Kassel, Germany

    Philipp Birken & Andreas Meister

  2. Institute of Mechanics and Dynamics, University of Kassel, Mönchebergstr. 7, 34109, Kassel, Germany

    Karsten J. Quint

  3. Institute of Applied Mechanics, Clausthal University of Technology, Adolph-Roemer-Str. 2a, 38678, Clausthal-Zellerfeld, Germany

    Stefan Hartmann

Authors
  1. Philipp Birken
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  2. Karsten J. Quint
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  3. Stefan Hartmann
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  4. Andreas Meister
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Corresponding author

Correspondence to Philipp Birken.

Additional information

Communicated by Hans-Joachim Bungartz.

This work was supported by the German Science Foundation as part of the SFB/TR TRR 30.

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Birken, P., Quint, K.J., Hartmann, S. et al. A time-adaptive fluid-structure interaction method for thermal coupling. Comput. Visual Sci. 13, 331–340 (2010). https://doi.org/10.1007/s00791-010-0150-4

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  • DOI: https://doi.org/10.1007/s00791-010-0150-4

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