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Direct numerical simulation of a turbulent channel flow by an improved vortex in cell method

Tomomi Uchiyama (EcoTopia Science Institute, Nagoya University, Nagoya, Japan)
Yutaro Yoshii (Graduate School of Information Science, Nagoya University, Nagoya, Japan)
Hirotaka Hamada (Graduate School of Information Science, Nagoya University, Nagoya, Japan)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 1 January 2014

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Abstract

Purpose

This study is concerned with the direct numerical simulation (DNS) of a turbulent channel flow by an improved vortex in cell (VIC) method. The paper aims to discuss these issues.

Design/methodology/approach

First, two improvements for VIC method are proposed to heighten the numerical accuracy and efficiency. A discretization method employing a staggered grid is presented to ensure the consistency among the discretized equations as well as to prevent the numerical oscillation of the solution. A correction method for vorticity is also proposed to compute the vorticity field satisfying the solenoidal condition. Second, the DNS for a turbulent channel flow is conducted by the improved VIC method. The Reynolds number based on the friction velocity and the channel half width is 180.

Findings

It is highlighted that the simulated turbulence statistics, such as the mean velocity, the Reynolds shear stress and the budget of the mean enstrophy, agree well with the existing DNS results. It is also shown that the organized flow structures in the near-wall region, such as the streaks and the streamwise vortices, are favourably captured. These demonstrate the high applicability of the improved VIC method to the DNS for wall turbulent flows.

Originality/value

This study enables the VIC method to perform the DNS for wall turbulent flows.

Keywords

Citation

Uchiyama, T., Yoshii, Y. and Hamada, H. (2014), "Direct numerical simulation of a turbulent channel flow by an improved vortex in cell method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 24 No. 1, pp. 103-123. https://doi.org/10.1108/HFF-01-2012-0010

Publisher

:

Emerald Group Publishing Limited

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