Numerical Approximation of Heat Transfer on Heterogenous Media

Authors

Tobias M. Scheuermann, Paul Kotyczka, Marie-Line Zanota, Isabelle Pitault, Haithem Louati, Bernhard Maschke

Abstract

In this paper we show the discrete modeling of the heat equation on an open cell metallic foam, exploiting its geometric structure. The topology of the material is described using the incidence matrices of a so called k‐complex. Together with the discrete constitutive equations, a finite‐dimensional model in port‐Hamiltonian form is found.

Citation

• Journal: PAMM
• Year: 2019
• Volume: 19
• Issue: 1
• Pages:
• Publisher: Wiley
• DOI: 10.1002/pamm.201900372

BibTeX

@article{Scheuermann_2019,
  title={{Numerical Approximation of Heat Transfer on Heterogenous Media}},
  volume={19},
  ISSN={1617-7061},
  DOI={10.1002/pamm.201900372},
  number={1},
  journal={PAMM},
  publisher={Wiley},
  author={Scheuermann, Tobias M. and Kotyczka, Paul and Zanota, Marie-Line and Pitault, Isabelle and Louati, Haithem and Maschke, Bernhard},
  year={2019}
}

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References

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