Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method

Bauer M, Silva G, Rüde U (2020)


Publication Type: Journal article, Letter

Publication year: 2020

Journal

Book Volume: 405

Article Number: 109111

DOI: 10.1016/j.jcp.2019.109111

Abstract

We comment on the truncation error analysis and numerical artifacts of the D3Q19 lattice Boltzmann model reported in Silva et al. [3]. We present corrections for specific spatial truncation error terms in the momentum conservation equations. By introducing an improved discrete equilibrium for the D3Q19 stencil, we show that the reported spurious currents in a square channel duct flow are caused by the form of the discrete equilibrium and are not due to the structure and isotropy properties of the D3Q19 velocity set itself. Numerical experiments on a square channel and a more complex nozzle geometry confirm these results.

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APA:

Bauer, M., Silva, G., & Rüde, U. (2020). Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method. Journal of Computational Physics, 405. https://dx.doi.org/10.1016/j.jcp.2019.109111

MLA:

Bauer, Martin, Goncalo Silva, and Ulrich Rüde. "Truncation errors of the D3Q19 lattice model for the lattice Boltzmann method." Journal of Computational Physics 405 (2020).

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