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Asymptotic analysis of lattice Boltzmann outflow treatments

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2011

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http://nbn-resolving.de/urn:nbn:de:bsz:352-193157
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https://doi.org/10.4208/cicp.091009.290910s
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Communications in Computational Physics. 2011, 9(5), pp. 1117-1127. ISSN 1815-2406. Available under: doi: 10.4208/cicp.091009.290910s

Zusammenfassung

We show the methodology and advantages of asymptotic analysis when applied to lattice Boltzmann outflow treatments. On the one hand, one can analyze outflow algorithms formulated directly in terms of the lattice Boltzmann variables, like the extrapolation method, to find the induced outflow conditions in terms of the Navier-Stokes variables. On the other hand, one can check the consistency and accuracy of lattice Boltzmann outflow treatments to given hydrodynamic outflow conditions like the Neumann or average pressure condition. As example how the gained insight can be used, we propose an improvement of the well known extrapolation method.

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510 Mathematik

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outflow condition, asymptotic analysis, lattice Boltzmann method

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ISO 690JUNK, Michael, Zhaoxia YANG, 2011. Asymptotic analysis of lattice Boltzmann outflow treatments. In: Communications in Computational Physics. 2011, 9(5), pp. 1117-1127. ISSN 1815-2406. Available under: doi: 10.4208/cicp.091009.290910s
BibTex
@article{Junk2011Asymp-19315,
  year={2011},
  doi={10.4208/cicp.091009.290910s},
  title={Asymptotic analysis of lattice Boltzmann outflow treatments},
  number={5},
  volume={9},
  issn={1815-2406},
  journal={Communications in Computational Physics},
  pages={1117--1127},
  author={Junk, Michael and Yang, Zhaoxia}
}
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    <dcterms:abstract xml:lang="eng">We show the methodology and advantages of asymptotic analysis when applied to lattice Boltzmann outflow treatments. On the one hand, one can analyze outflow algorithms formulated directly in terms of the lattice Boltzmann variables, like the extrapolation method, to find the induced outflow conditions in terms of the Navier-Stokes variables. On the other hand, one can check the consistency and accuracy of lattice Boltzmann outflow treatments to given hydrodynamic outflow conditions like the Neumann or average pressure condition. As example how the gained insight can be used, we propose an improvement of the well known extrapolation method.</dcterms:abstract>
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