PROGRESS IN COMPUTATIONAL FLUID DYNAMICS, vol.25, no.5, 2025 (SCI-Expanded)
Numerical simulations of two-dimensional flow passing a stationary square cylinder for moderate Reynolds numbers (Re = 200, 500, 1,000) are performed using a mesh-free method, the discrete vortex method (DVM). To simulate the vorticity gradient, three diffusion schemes, random walk, particle strength exchange, and vorticity redistribution methods, are utilised. The results are compared against each other and previous numerical and experimental studies. These results are presented in terms of RMS lift and mean drag coefficients, Strouhal number, and base pressure coefficient. Also presented are the wake characteristics, as well as the mean and fluctuations of pressure distribution around the body surface. All cases are in reasonable agreement with the literature, although the simulations with the vorticity redistribution method tend to underestimate these parameters. To the best of the authors' knowledge, this is the first comprehensive comparison carried out of the DVM-based diffusion schemes.