Authors

Sarah-Alexa Hauschild, Nicole Marheineke

Abstract

The port‐Hamiltonian (pH) formulation of partial‐differential equations (pdes) and their numerical treatment have been elaborately studied lately. In this context we consider the non‐isothermal flow of a compressible fluid. Starting from the pdes we derive a pH formulation for Euler‐type equations in the weak sense on one pipe. One advantage of pH systems is that fundamental physical properties, like energy dissipation and mass conservation, are encoded in the system structure. Therefore, structure‐preservation during approximation is most important. Based on the weak form we introduce a structure‐preserving Galerkin approximation with mixed finite elements. A numerical example supports the theoretical results.

Citation

BibTeX

@article{Hauschild_2021,
  title={{Structure‐preserving discretization of a port‐Hamiltonian formulation of the non‐isothermal Euler equations}},
  volume={20},
  ISSN={1617-7061},
  DOI={10.1002/pamm.202000014},
  number={1},
  journal={PAMM},
  publisher={Wiley},
  author={Hauschild, Sarah-Alexa and Marheineke, Nicole},
  year={2021}
}

Download the bib file

References