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Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains

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2008

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Zhaoxia, Yang

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http://nbn-resolving.de/urn:nbn:de:bsz:352-253957
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https://doi.org/10.1016/j.camwa.2007.08.002
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Computers & Mathematics with Applications. 2008, 55(7), pp. 1481-1491. ISSN 0898-1221. eISSN 1873-7668. Available under: doi: 10.1016/j.camwa.2007.08.002

Zusammenfassung

Combining an asymptotic analysis of the lattice Boltzmann method [M. Junk, Z. Yang, Asymptotic analysis of lattice Boltzmann boundary conditions, J. Stat. Phys. 121 (2005) 3–35] with the stability estimate presented in [M. Junk, W.-A. Yong, Weighted L2 stability of the lattice Boltzmann equation, Preprint], we are able to prove some strict convergence results. The proof applies to the lattice Boltzmann method with linear collision operator both in the case of periodic domains and bounded domains if the Dirichlet boundary condition is realized with the bounce back rule.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Lattice Boltzmann method, Linear collision, Convergence, Stability, Periodic boundary, Bounce back

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ISO 690JUNK, Michael, Yang ZHAOXIA, 2008. Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains. In: Computers & Mathematics with Applications. 2008, 55(7), pp. 1481-1491. ISSN 0898-1221. eISSN 1873-7668. Available under: doi: 10.1016/j.camwa.2007.08.002
BibTex
@article{Junk2008Conve-25395,
  year={2008},
  doi={10.1016/j.camwa.2007.08.002},
  title={Convergence of lattice Boltzmann methods for Stokes flows in periodic and bounded domains},
  number={7},
  volume={55},
  issn={0898-1221},
  journal={Computers & Mathematics with Applications},
  pages={1481--1491},
  author={Junk, Michael and Zhaoxia, Yang},
  note={Nicht identisch mit: http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-106454}
}
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Nicht identisch mit: http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-106454
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