Computational resolution of the Navier-Stokes equations for laminar and turbulents flows. Implementation of the Sparlart-Allmaras turbulence model

Abstract

The present project consists on the computational study and resolution of the Navier-Stokes equations and the physical phenomena involved. The main objective is the development of C++ programming codes to solve flow’s governing equations using numerical methods. The project comprises the fluid dynamic and thermal study and analysis of both laminar and turbulent regimes. In addition to that, in case of turbulent flow, there has been selected to implement a RANS turbulence model called Spalart-Allmaras. The computational codes developed will be used to simulate the study cases LID Driven Cavity, LID Differentially Heated and Square Cylinder for the laminar regime and a supersonic pipe in case of the turbulent part. Additionally, the results obtained will be extensively analysed and verified using scientific publications.