In this work the Smoothed Particle Hydrodynamics methodology (SPH) is used to simulate incompressible and confined viscous flows of Newtonian fluids. The SPH is a meshfree Lagrangian method which simulates the flow using moving fluid particles that interact one with others by hydrodynamics forces. The forces acting on each particle are evaluated using a spatial filtering process, taken over a certain region in the neighbourhood of the particle which is defined by a smoothing length, h. The

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... r kernel function and the ratio of the mean spatial displacement of the particles, and the smoothing length, h, are both of central importance for the accuracy of this methodology. A study of the relative importance of this parameters and also of the boundary condition scheme and pressure constitutive model are performed in a context of low Reynolds number flows. The model is validated by comparison with analytical solution of the Stokes equations. Additionally, the cases Re = 1 and Re = 100 are simulated. Good agreement of the results of the simulations and the reference theoretical data was observed.