Estudo em etapas de simulações computacionais aplicadas em mecânica dos fluidos

Abstract

The main objective of this work is the development of mathematical, physical, numerical and computational models of three types of fluid mechanics problems, it means, Poiseuille flow one-dimensional plane, two-dimensional flow with predetermined speeds and flow in sudden expansion, on a step. Then, the verification and validation of the computational model adopted in the problems is done. In the physical model this study presents the particular characteristics of each flow, through the concepts studied in Fluid Mechanics. The mathematical model is used to present the Reynolds theorem and the differential analyzes that find equations to be solved. In the numerical model stage these equation are discretized to be implemented in the computational simulation, where the algorithms responsible for solving each problem are developed. The verification and validation chapters compare the results found by the models developed with the results literature or experiments. It is an academic work, which composes a basis for further studies on computational fluid dynamics.