Discretizations for the incompressible Navier-Stokes equations based on the Lattice Boltzmann Method
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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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.
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510 Mathematics
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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/S1064827599357188BibTex
@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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