Publication

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

Bibliographic Details
Summary:	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.
Main Authors:	Bauer, Martin
Other Authors:	Silva, Goncalo; Rüde, Ulrich
Subject:	lattice Boltzmann method Numerical analysis Rotational Invariance Nozzle Geometry
Year:	2022
Country:	Portugal
Document type:	article
Access type:	open access
Associated institution:	Universidade de Évora
Language:	Portuguese
Origin:	Repositório Científico da Universidade de Évora

Description
Summary:	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.