Publikation:

A limiter based on kinetic theory

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2007

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Banda, Mapundi K.
Junk, Michael
Klar, Axel

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http://nbn-resolving.de/urn:nbn:de:bsz:352-254250
DOI (zitierfähiger Link)
https://doi.org/10.1081/TT-120015511
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Transport Theory and Statistical Physics. 2007, 31(4-6), pp. 491-512. ISSN 0041-1450. eISSN 1532-2424. Available under: doi: 10.1081/TT-120015511

Zusammenfassung

In the present paper the low Mach number limit of kinetic equations is used to develop a discretization for the incompressible Euler equation. The kinetic equation is discretized with a first and second order discretization in space. The discretized equation is then considered in the limit of low Mach and Knudsen number which gives rise to an interesting limiter for the convective part in the incompressible Euler equation. Numerical experiments are shown comparing different approaches.

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510 Mathematik

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ISO 690BANDA, Mapundi K., Michael JUNK, Axel KLAR, 2007. A limiter based on kinetic theory. In: Transport Theory and Statistical Physics. 2007, 31(4-6), pp. 491-512. ISSN 0041-1450. eISSN 1532-2424. Available under: doi: 10.1081/TT-120015511
BibTex
@article{Banda2007limit-25425,
  year={2007},
  doi={10.1081/TT-120015511},
  title={A limiter based on kinetic theory},
  number={4-6},
  volume={31},
  issn={0041-1450},
  journal={Transport Theory and Statistical Physics},
  pages={491--512},
  author={Banda, Mapundi K. and Junk, Michael and Klar, Axel}
}
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