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Discretizations for the incompressible Navier-Stokes equations based on the Lattice Boltzmann Method

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2000

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Klar, Axel

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http://nbn-resolving.de/urn:nbn:de:bsz:352-254705
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https://doi.org/10.1137/S1064827599357188
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SIAM Journal on Scientific Computing. 2000, 22(1), pp. 1-19. ISSN 1064-8275. eISSN 1095-7197. Available under: doi: 10.1137/S1064827599357188

Zusammenfassung

A discrete velocity model with spatial and velocity discretization based on a lattice Boltzmann method is considered in the low Mach number limit. A uniform numerical scheme for this model is investigated. In the limit, the scheme reduces to a finite difference scheme for the incompressible Navier-Stokes equation which is a projection method with a second order spatial discretization on a regular grid. The discretization is analyzed and the method is compared to Chorin's original spatial discretization. Numerical results supporting the analytical statements are presented.

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510 Mathematik

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ISO 690JUNK, Michael, Axel KLAR, 2000. Discretizations for the incompressible Navier-Stokes equations based on the Lattice Boltzmann Method. In: SIAM Journal on Scientific Computing. 2000, 22(1), pp. 1-19. ISSN 1064-8275. eISSN 1095-7197. Available under: doi: 10.1137/S1064827599357188
BibTex
@article{Junk2000Discr-25470,
  year={2000},
  doi={10.1137/S1064827599357188},
  title={Discretizations for the incompressible Navier-Stokes equations based on the Lattice Boltzmann Method},
  number={1},
  volume={22},
  issn={1064-8275},
  journal={SIAM Journal on Scientific Computing},
  pages={1--19},
  author={Junk, Michael and Klar, Axel}
}
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