### 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 language | English |
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Article number | 056705 |

Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |

Volume | 67 |

Issue number | 5 2 |

Publication status | Published - May 2003 |

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### ASJC Scopus subject areas

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

### Cite this

**Accuracy of the lattice Boltzmann method based on analytical solutions.** / Házi, G.

Research output: Contribution to journal › Article

*Physical Review E - Statistical, Nonlinear, and Soft Matter Physics*, vol. 67, no. 5 2, 056705.

}

TY - JOUR

T1 - Accuracy of the lattice Boltzmann method based on analytical solutions

AU - Házi, G.

PY - 2003/5

Y1 - 2003/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=42749107355&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=42749107355&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:42749107355

VL - 67

JO - Physical review. E

JF - Physical review. E

SN - 2470-0045

IS - 5 2

M1 - 056705

ER -