Study for the computational resolution of conservation equations of mass, momentum and energy. Application to wall-bounded turbulent flows

Abstract

This thesis for the obtention of Bachelor’s degree in Aerospace Vehicle Engineeringconsists of the study of the Navier-Stokes equations under certain hypotheses, being the most remarkable one the incompressibility of the flow.The numerical resolution of the equations is performed. To do so, the Finite VolumeMethod (FVM) is employed and different numerical techniques are contemplated and studied. Special attention regarding discretisation procedures is paid in the explanation of such techniques.To perform the numerical resolution of the equations, a code written in C++ from scratch is developed. This code includes a mesher of structured non-uniform grids and enough flexibility to simulate different cases with diverse boundary conditions.From what concerns to the cases studied, two main blocks are presented: laminar and turbulent. Driven Cavity, Differentially Heated Cavity and Square Cylinder arethe cases within laminar regime. Decay of Homogeneous Isotropic Turbulence and Channel Flow are the cases solved considering turbulent regime. For both cases,Smagorinsky’s turbulence model is employed, and for the latter wall-modelling is included.The data generated by the software is compared with existent literature and analysed, highlighting the most important concepts regarding each problem and its particularities.