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A Finite Difference Interpretation of the Lattice Boltzmann Method

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2001

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Numerical Methods for Partial Differential Equations. 2001, 17(4), pp. 383-402. ISSN 0749-159X. eISSN 1098-2426. Available under: doi: 10.1002/num.1018

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Compared to conventional techniques in computational fluid dynamics, the lattice Boltzmann method (LBM) seems to be a completely different approach to solve the incompressible Navier–Stokes equation. The aim of this article is to correct this impression by showing the close relation of LBM to two standard methods: relaxation schemes and explicit finite difference discretizations. As a side effect, new starting points for a discretization of the incompressible Navier–Stokes equation are obtained.

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ISO 690JUNK, Michael, 2001. A Finite Difference Interpretation of the Lattice Boltzmann Method. In: Numerical Methods for Partial Differential Equations. 2001, 17(4), pp. 383-402. ISSN 0749-159X. eISSN 1098-2426. Available under: doi: 10.1002/num.1018
BibTex
@article{Junk2001Finit-25430,
  year={2001},
  doi={10.1002/num.1018},
  title={A Finite Difference Interpretation of the Lattice Boltzmann Method},
  number={4},
  volume={17},
  issn={0749-159X},
  journal={Numerical Methods for Partial Differential Equations},
  pages={383--402},
  author={Junk, Michael}
}
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