Numerical investigation of the evolution of elliptic vortex ring

Wang, Zhiwei; Chen, Bin

doi:10.1504/pcfd.2012.044851

Cited by 6 publications

(1 citation statement)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Lagrangian vortex method solves equation ( 5) for c by using the Green's function and computes the velocity from the Biot-Savart law. It is the grid-free method, and the applications to various flow simulations have been reported (Winckelmans et al, 2005;Schlegel et al, 2008;Wang and Chen, 2012). This study is concerned with the VIC method solving directly equation ( 5) with the aid of the computational grid.…”

Section: Vic Methods 21 Vorticity Equation and Orthogonal Decomposition Of Velocitymentioning

confidence: 99%

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

Uchiyama

Yoshii

Hamada

2013

International Journal of Numerical Methods for Heat &Amp; Fluid Flow

View full text Add to dashboard Cite

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.

show abstract

Section: Vic Methods 21 Vorticity Equation and Orthogonal Decomposition Of Velocitymentioning

confidence: 99%