Guilherme Galante

Solução computacional do problema da cavidade cúbica através das equações de Navier-Stokes tridimensionais

This paper presents an approach to solving problems of three-dimensional fluid flow with application to the problem cubic cavity with sliding covering. The fluid flow is modeled by the Navier-Stokes equations which are discretized using the finite difference method. The solution to the problem was obtained using the SOR method (Successive Over Relaxation) to solve the Poisson equation for pressure for each time step. The results of numerical simulations are presented as graphs of velocity, pressure and surface current. It is observed the formation of tridimensional vortices rising from the corners of the cavity near the covering. The results generalize the solution of the two-dimensional case and show the numerical-computational strategies employed are appropriated and exhibit good numerical quality.

A Multigrid-Schwarz Method for the Solution of Hydrodynamics and Heat Transfer Problems in Unstructured Meshes

This paper presents a parallel multigrid-Schwarz method for the solution of hydrodynamics and heat transfer problems. In the proposed method, the solution is obtained by a multigrid method parallelized by domain decomposition techniques, more specifically by the additive Schwarz method. The experiments performed have shown that the proposed implementation is computationally efficient, have good scalability, and good numerical quality.