Study for the computational resolution of conservation equations of mass, momentum and energy and analysis of the laminar flow over a square cylinder

Abstract

The gorgeous behaviour of fluids throughout the nature has fascinated the human being over the time, and its major endeavour to comprehend it has brought to the world the Computational Fluid Dynamics, which has allowed incommensurable amount of applications in the aerospace and other engineering branches. This document pretends to deepen the numerical resolution of the fundamental equations of fluid dynamics in two steps. Firstly, a code-verification phase is elaborated with benchmark cases such as a transient conduction problem, the Smith-Hutton case, the equation of Burgers, the driven-cavity problem and a differentially heated cavity case. Secondly, a brief analysis of laminar flows over a square cylinder is treated and an examination of the recirculation length concept is carried out. All the performed computational simulations revolve around two main axis: the Finite Volume Method to discretise the domain and the Fractional Step Method to solve the Navier-Stokes equations.