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One-point boundary condition for the lattice Boltzmann method

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2005

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http://nbn-resolving.de/urn:nbn:de:bsz:352-254066
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https://doi.org/10.1103/PhysRevE.72.066701
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Physical Review E. 2005, 72(6). ISSN 1539-3755. eISSN 1095-3787. Available under: doi: 10.1103/PhysRevE.72.066701

Zusammenfassung

We propose a correction to the bounce back boundary condition for lattice Boltzmann algorithms which improves the accuracy of pressure from zero to first order and the accuracy of velocity from first to second order. Compared to interpolation based corrections, our method has the advantage of being completely local. In fact, methods using interpolation face difficulties at boundary points where not enough neighboring nodes are available. We show that a combination with our method offers a natural solution to this problem.

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510 Mathematik

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ISO 690JUNK, Michael, Zhaoxia YANG, 2005. One-point boundary condition for the lattice Boltzmann method. In: Physical Review E. 2005, 72(6). ISSN 1539-3755. eISSN 1095-3787. Available under: doi: 10.1103/PhysRevE.72.066701
BibTex
@article{Junk2005Onepo-25406,
  year={2005},
  doi={10.1103/PhysRevE.72.066701},
  title={One-point boundary condition for the lattice Boltzmann method},
  number={6},
  volume={72},
  issn={1539-3755},
  journal={Physical Review E},
  author={Junk, Michael and Yang, Zhaoxia}
}
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