Perspectives for the organization of an ICTP School on high performance computation at the School of Physical Sciences and Nanotechnology of YachayTech.

The numerical hydrodynamic method of smoothed particles or SPH has been strengthening during the past three decades. A description is given of the evolution of this method during this period of time and in particular of recent results that we have obtained in relation to the consistency of the method that has led to a reformulation of the method and with this, achieving realistic solutions of a given system . Some examples of the importance of the new formalism that generates quite different solutions compared to those obtained with traditional formalism are shown. Some applications of the method to various fields ranging from astrophysics to multiphase flow in porous media are presented.

Professor Jaime Klapp
Instituto Nacional de Investigaciones Nucleares y Cinvestav-Abacus, México