### Abstract

This paper reports on a numerical study of two-dimensional decaying turbulence in a square domain with no-slip walls. The generation of strong small-scale vortices near the no-slip walls have been observed in the lattice Boltzmann simulations just like in earlier pseudospectral calculations. Due to these vortices the enstrophy is not a monotone decaying function of time. Considering a number of simulations and taking their ensemble average, we have found that the decay of enstrophy and that of the kinetic energy can be described well by power-laws. The exponents of these laws depend on the Reynolds number in a similar manner than was observed before in pseudospectral simulations. Considering the ensemble averaged 1D Fourier energy spectra calculated along the walls, we could not find a simple power-law, which fits well to the simulation data. These spectra change in time and reveal an exponent close to -3 in the intermediate and an exponent -5/3 at low wavenumbers. On the other hand, the two-dimensional energy spectra, which remain almost steady in the intermediate decay stage, show clear power-law behavior with exponent larger than -3 depending on the initial Reynolds number.

Original language | English |
---|---|

Pages (from-to) | 669-680 |

Number of pages | 12 |

Journal | International Journal of Modern Physics C |

Volume | 21 |

Issue number | 5 |

DOIs | |

Publication status | Published - May 2010 |

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### Keywords

- Lattice Boltzmann method
- No-slip walls
- Two-dimensional turbulence

### ASJC Scopus subject areas

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

### Cite this

**Lattice boltzmann simulation of two-dimensional wall bounded turbulent flow.** / Házi, G.; Tóth, Gábor.

Research output: Contribution to journal › Article

*International Journal of Modern Physics C*, vol. 21, no. 5, pp. 669-680. https://doi.org/10.1142/S0129183110015403

}

TY - JOUR

T1 - Lattice boltzmann simulation of two-dimensional wall bounded turbulent flow

AU - Házi, G.

AU - Tóth, Gábor

PY - 2010/5

Y1 - 2010/5

N2 - This paper reports on a numerical study of two-dimensional decaying turbulence in a square domain with no-slip walls. The generation of strong small-scale vortices near the no-slip walls have been observed in the lattice Boltzmann simulations just like in earlier pseudospectral calculations. Due to these vortices the enstrophy is not a monotone decaying function of time. Considering a number of simulations and taking their ensemble average, we have found that the decay of enstrophy and that of the kinetic energy can be described well by power-laws. The exponents of these laws depend on the Reynolds number in a similar manner than was observed before in pseudospectral simulations. Considering the ensemble averaged 1D Fourier energy spectra calculated along the walls, we could not find a simple power-law, which fits well to the simulation data. These spectra change in time and reveal an exponent close to -3 in the intermediate and an exponent -5/3 at low wavenumbers. On the other hand, the two-dimensional energy spectra, which remain almost steady in the intermediate decay stage, show clear power-law behavior with exponent larger than -3 depending on the initial Reynolds number.

AB - This paper reports on a numerical study of two-dimensional decaying turbulence in a square domain with no-slip walls. The generation of strong small-scale vortices near the no-slip walls have been observed in the lattice Boltzmann simulations just like in earlier pseudospectral calculations. Due to these vortices the enstrophy is not a monotone decaying function of time. Considering a number of simulations and taking their ensemble average, we have found that the decay of enstrophy and that of the kinetic energy can be described well by power-laws. The exponents of these laws depend on the Reynolds number in a similar manner than was observed before in pseudospectral simulations. Considering the ensemble averaged 1D Fourier energy spectra calculated along the walls, we could not find a simple power-law, which fits well to the simulation data. These spectra change in time and reveal an exponent close to -3 in the intermediate and an exponent -5/3 at low wavenumbers. On the other hand, the two-dimensional energy spectra, which remain almost steady in the intermediate decay stage, show clear power-law behavior with exponent larger than -3 depending on the initial Reynolds number.

KW - Lattice Boltzmann method

KW - No-slip walls

KW - Two-dimensional turbulence

UR - http://www.scopus.com/inward/record.url?scp=77952865612&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77952865612&partnerID=8YFLogxK

U2 - 10.1142/S0129183110015403

DO - 10.1142/S0129183110015403

M3 - Article

VL - 21

SP - 669

EP - 680

JO - International Journal of Modern Physics C

JF - International Journal of Modern Physics C

SN - 0129-1831

IS - 5

ER -