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

Junk, Michael; Klar, Axel

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

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Date

2000

Authors

Junk, Michael

Klar, Axel

Publication type

Journal article

Published in

SIAM Journal on Scientific Computing ; 22 (2000), 1. - pp. 1-19. - ISSN 1064-8275. - eISSN 1095-7197

Abstract

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.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

JUNK, Michael, Axel KLAR, 2000. Discretizations for the incompressible Navier-Stokes equations based on the Lattice Boltzmann Method. In: SIAM Journal on Scientific Computing. 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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