Accuracy of the lattice Boltzmann method based on analytical solutions

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Abstract

Using a simple idea, it was shown how to determine whether an analytical steady-state solution of the Navier-Stokes equations can be obtained exactly in the framework of the lattice Boltzmann method (LBM). Using this idea, the analytical solution of the rotated Poisequille problem was tested and shown how the accuracy of the LBM depends on the orientation of the lattice to the flow field for this specific case.

Original languageEnglish
Article number056705
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume67
Issue number5 2
Publication statusPublished - May 2003

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Lattice Boltzmann Method
Analytical Solution
Steady-state Solution
Flow Field
Navier-Stokes Equations
Navier-Stokes equation
flow distribution
Framework

ASJC Scopus subject areas

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

Cite this

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abstract = "Using a simple idea, it was shown how to determine whether an analytical steady-state solution of the Navier-Stokes equations can be obtained exactly in the framework of the lattice Boltzmann method (LBM). Using this idea, the analytical solution of the rotated Poisequille problem was tested and shown how the accuracy of the LBM depends on the orientation of the lattice to the flow field for this specific case.",
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