### Abstract

Two-dimensional decaying turbulence is simulated using a lattice Boltzmann model with the Bhatnagar-Gross-Krook collision operator. Auto-power spectra, of the one-velocity particle distribution functions are presented. The relation between the spectrum of the kinetic energy and the spectra of the distribution functions is given. An interpretation of the non-equilibrium spectra as a measure of the dissipation in different scales is given. A peak in the spectrum of the resting particle distribution functions is observed exactly at the ultraviolet cutoff. It is shown that the peak can be associated with enhanced acoustic activity, which might be a numerical artifact or a consequence of the compressibility of the lattice Boltzmann fluid.

Original language | English |
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Pages (from-to) | 531-543 |

Number of pages | 13 |

Journal | International Journal of Modern Physics C |

Volume | 17 |

Issue number | 4 |

Publication status | Published - Apr 2006 |

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### Keywords

- Lattice Boltzmann method
- Two-dimensional decaying turbulence

### ASJC Scopus subject areas

- Computer Science Applications
- Computational Theory and Mathematics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematical Physics

### Cite this

*International Journal of Modern Physics C*,

*17*(4), 531-543.

**Mesoscopic spectra in two-dimensional decaying turbulence.** / Házi, G.

Research output: Contribution to journal › Article

*International Journal of Modern Physics C*, vol. 17, no. 4, pp. 531-543.

}

TY - JOUR

T1 - Mesoscopic spectra in two-dimensional decaying turbulence

AU - Házi, G.

PY - 2006/4

Y1 - 2006/4

N2 - Two-dimensional decaying turbulence is simulated using a lattice Boltzmann model with the Bhatnagar-Gross-Krook collision operator. Auto-power spectra, of the one-velocity particle distribution functions are presented. The relation between the spectrum of the kinetic energy and the spectra of the distribution functions is given. An interpretation of the non-equilibrium spectra as a measure of the dissipation in different scales is given. A peak in the spectrum of the resting particle distribution functions is observed exactly at the ultraviolet cutoff. It is shown that the peak can be associated with enhanced acoustic activity, which might be a numerical artifact or a consequence of the compressibility of the lattice Boltzmann fluid.

AB - Two-dimensional decaying turbulence is simulated using a lattice Boltzmann model with the Bhatnagar-Gross-Krook collision operator. Auto-power spectra, of the one-velocity particle distribution functions are presented. The relation between the spectrum of the kinetic energy and the spectra of the distribution functions is given. An interpretation of the non-equilibrium spectra as a measure of the dissipation in different scales is given. A peak in the spectrum of the resting particle distribution functions is observed exactly at the ultraviolet cutoff. It is shown that the peak can be associated with enhanced acoustic activity, which might be a numerical artifact or a consequence of the compressibility of the lattice Boltzmann fluid.

KW - Lattice Boltzmann method

KW - Two-dimensional decaying turbulence

UR - http://www.scopus.com/inward/record.url?scp=33646547929&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33646547929&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:33646547929

VL - 17

SP - 531

EP - 543

JO - International Journal of Modern Physics C

JF - International Journal of Modern Physics C

SN - 0129-1831

IS - 4

ER -