Asymptotic analysis of lattice Boltzmann outflow treatments

Junk, Michael; Yang, Zhaoxia

Asymptotic analysis of lattice Boltzmann outflow treatments

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Date

2011

Publication type

Journal article

Published in

Communications in Computational Physics ; 9 (2011), 5. - pp. 1117-1127. - ISSN 1815-2406

Abstract

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.

Subject (DDC)

510 Mathematics

Keywords

outflow condition,asymptotic analysis,lattice Boltzmann method

Cite This

ISO 690

JUNK, Michael, Zhaoxia YANG, 2011. Asymptotic analysis of lattice Boltzmann outflow treatments. In: Communications in Computational Physics. 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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