Accuracy of the lattice Boltzmann method based on analytical solutions

Research output: Contribution to journalArticle

Abstract

In this paper, a simple method is proposed to obtain steady analytical solutions for the lattice Boltzmann method. Based on such analytical results, it is demonstrated how the accuracy of the lattice Boltzmann method can depend on the relative orientation of the lattice and the flow field. It is also demonstrated that the method can be useful to obtain a general class of analytical solutions for the lattice Boltzmann method. Finally, a simple relation is given between the compressibility error and the velocity field.

Original language English 1 Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 67 5 https://doi.org/10.1103/PhysRevE.67.056705 Published - Jan 1 2003

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Lattice Boltzmann Method
Analytical Solution
Compressibility
Velocity Field
Flow Field
compressibility
flow distribution
velocity distribution

ASJC Scopus subject areas

• Statistical and Nonlinear Physics
• Statistics and Probability
• Condensed Matter Physics

Cite this

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 67, No. 5, 01.01.2003.

Research output: Contribution to journalArticle

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