SPH computation of incompressible viscous flows

The paper is concerned with the numerical flow computation using the method of Smoothed Particle Hydrodynamics (SPH). Fundamental concepts of the method are briefly recalled. Physical aspects of the incompressibility and its mathematical formulation are described. A new proposal for the incompressibility constraint is put forward in the SPH context. Numerical implementation of the method is described and main parts of the algorithm are presented, including the issue of boundary conditions. Some validation cases and examples of results for viscous flows are presented.