Consistency and errors in Smoothed Particle Hydrodynamics using several approaches in a 2D pipe

Smoothed Particle Hydrodynamics (SPH) has become a promising tool for the simulation of fluids. Although too much research has been addressed to improve the method over the years, a comparison of the errors and consistency evolution when trying different approaches are still necessary to define the best scheme for practical applications. Here, a two-dimensional Poiseuille flow test benchmark is employed to enforce comparisons when varying the kernel, the definition of the sound speed inthe pressure term, the viscosity and the Reynolds number.