Desenvolvimento de uma plataforma para computação de alto desempenho de escoamentos transientes, utilizando estrutura octonária

Abstract

The present work describes the development of a parallel distributed-memory implementation, of an octree data structure, linked to an adaptive Cartesian mesh to solve the Navier- Stokes equations. The Finite Volume Method was used in the spatial discretization where the diffusive terms approximated by the central differences method. The temporal discretization was accomplished using the Adams-Bashforth method. Both temporal and spatial discretizations are of second-order of accuracy. The immersed boundary method was employed to represent immersed solid bodies in the flow and the Velocity-pressure coupling is done using the fractional-step method of two steps. Results, for sequential and parallel simulations, are presented both for the adaptive octree mesh and for a rectilinear mesh. Moreover, all simulated results were obtained using a external solver for the Poisson equation, from the pressure correction, in the fractional-step method. The numerical results are compared with numerical and experimental data, and the agreement between the two is found to be good.