Huberson, S.; Jollès, A.; Shen, W. Numerical simulation of incompressible viscous flows by means of particles methods. (English) Zbl 0751.76054 Vortex dynamics and vortex methods, Proc. 21st AMS-SIAM Semin., Seattle/WA (USA) 1990, Lect. Appl. Math. 28, 369-384 (1991). Summary: [For the entire collection see Zbl 0742.00057.]We present a particle method for the numerical simulation of the two- dimensional flow of an incompressible viscous fluid. The viscous terms are accounted for by an integral formulation and a special emphasis is given to the treatment of the no-slip condition on the boundaries. The method is evaluated on the classical driven cavity problem. It is also used in combined algorithms in order to take advantage of its particular properties. Cited in 2 Documents MSC: 76M25 Other numerical methods (fluid mechanics) (MSC2010) 76B47 Vortex flows for incompressible inviscid fluids Keywords:two-dimensional flow; integral formulation; no-slip condition; driven cavity problem Citations:Zbl 0742.00057 PDFBibTeX XMLCite \textit{S. Huberson} et al., Lect. Appl. Math. 28, 369--384 (1991; Zbl 0751.76054)