On the cubic velocity deviations in lattice Boltzmann methods

G. Házi, Péter Kávrán

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

The macroscopic equations derived from the lattice Boltzmann equation are not exactly the Navier-Stokes equations. Here the cubic deviation terms and the methods proposed to eliminate them are studied. The most popular two- and three-dimensional models (D2Q9, D3Q15, D3Q19, D3Q27) are considered in the paper. It is demonstrated that the compensation methods provide only partial elimination of the deviations for these models. It is also shown that the compensation of Qian and Zhou (1998 Europhys. Lett. 42 359) using the compensation parameter K ≤ 1 in a D2Q9 or D3Q27 model can eliminate all the cross terms perfectly, but the deviation terms ∂xρu 3x, ∂yρu3y and ∂zρu3z still survive the compensation.

Original languageEnglish
Pages (from-to)3127-3136
Number of pages10
JournalJournal of Physics A: Mathematical and General
Volume39
Issue number12
DOIs
Publication statusPublished - Mar 24 2006

Fingerprint

Lattice Boltzmann Method
Deviation
deviation
Eliminate
Term
macroscopic equations
Lattice Boltzmann Equation
Boltzmann equation
three dimensional models
Navier-Stokes equation
Navier Stokes equations
Elimination
elimination
Navier-Stokes Equations
Model
Partial
Three-dimensional
Compensation and Redress

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

On the cubic velocity deviations in lattice Boltzmann methods. / Házi, G.; Kávrán, Péter.

In: Journal of Physics A: Mathematical and General, Vol. 39, No. 12, 24.03.2006, p. 3127-3136.

Research output: Contribution to journalArticle

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