Un método sin malla y estabilizado para la resolución de las ecuaciones lagrangianas de los fluidos newtonianos

In this article we present numerical methods for the approximation of incompressible flows. We have addressed three problems: the stationary Stokes' problem, the transient Stokes' problem, and the general motion of newtonian fluids. In the three cases a discretization is employed that does not require a mesh of the domain but uses maximum entropy approximation functions. To guarantee the robustness of the solution a stabilization technique is employed. The most general problem, that of the motion of newtonian fluids, is formulated in lagrangian form. The results presented verify that stabilized meshless methods can be a competitive alternative to other approached currently in use.