D. Le Touzé, A. Colagrossi, G. Colicchio and M. Greco
The smoothed particle hydrodynamics method is studied through dedicated 2D and 3D free-surface flow test cases. Numerical aspects of the SPH method, little mentioned in the literature, are highlighted, and the role of numerical errors in the development of spurious acoustic frequencies is discussed. Convergence of the SPH model is heuristically proved on nonlinear prototype tests, and the particle self-redistribution mechanism occurring during the Lagrangian evolution is commented. A higher order SPH model is also proposed, and it is analyzed how on its gain in accuracy is compensated by a loss in robustness.