Métodos pseudoespectral de Fourier e fronteira imersa aplicados a escoamentos simplificados de engenharia de perfuração

Abstract

The present work aims to present a model of fluid-structure interaction, which was implemented in IMERSPEC2D code, that is a numerical code that solves problems of flow over immersed bodies by using the pseudospectral Fourier method coupled with the immersed boundary method. Initially, it has been proposed a comparative analysis between two numerical methods: Finite Volume Method (FVM) and Fourier Pseudospectral Method (MPEFO) with and without the use of the Immersed Boundary Method (MFI). This first analysis includes verification and validation of both numerical codes, in order to determine the advantages and disadvantages of MPEFO compared to MVF. The second part is the implementation of a fluid structure interaction model in IMERSPEC2D code, this approach takes account the partitioned interaction model, by using the fourth order optimized Runge-Kutta method in both time advanced of the fluid and of the structure. Furthermore, it is proposed to non-dimensionalization of the equations that models the structural movement. These implementations yield results with more accuracy and low computational cost, by proving the applicability and potentiality of IMERSPEC methodology. Lastly, several applications have been held in drilling and extraction oil problems. These simulations are still two-dimensional, however, it is possible to observe interesting flow patterns into extraction pipes for different aspect ratios and Reynolds numbers.