A convergent 3-D vortex method with grid-free stretching
Mathematics of Computation
Particles simulation of viscous flow
Computers and Fluids
SIAM Journal on Numerical Analysis
Vortex methods for high-resolution simulations of viscous flow past bluff bodies of general geometry
Journal of Computational Physics
A general deterministic treatment of derivatives in particle methods
Journal of Computational Physics
Hi-index | 31.45 |
The viscous flow around a circular cylinder was investigated by means of a particle method over a wide Reynolds number range, from 0.0001 to 1000. A special care was devoted to the satisfaction of the no-slip condition which was expressed through a fourth order partial differential equation for the stream function according to the method initially proposed by Achdou and Pironneau. This equation was solved by a boundary integral method which simultaneously satisfied a Dirichlet and a Neumann condition. The algorithm was immersed within a particle method framework and results in a versatile method which can deal with relatively high Reynolds numbers as well as Stokes flows. The numerical results were analysed and compared to those obtained by others numerically, experimentally and even theoretically for the low Reynolds number limit. The behaviour of the method for the two extreme cases was specially investigated.