Development of efficient meshless methods for free surface flows

The aim of this thesis is to develop an SPH method free of post formulation corrections with application to the classical Dam-break problem. The analysis has been focused on the weakly compressible smoothed particle hydrodynamics (SPH) formulation of the fluid flow. The discretization and implementation of classical Euler equations has been revised in order to avoid artificial and unphysical corrections commonly used in literature. Many other tools are also used to improve accuracy and performance features, such as a new Kernel Theory to achieve the lowest error and a higher order adaptive time integrator. The results obtained are encouraging either from the physical reliability or the performance time. The obtained simulations are fully comparable with the other already existing in literature, as well as the running time being very promising as it is of order of few hours in a single CPU machine.