Advanced study for the numerical resolution of the Navier-Stokes equations. Application to thermal energy storage systems

Abstract

The resolution of the Navier Stokes equations in three dimensions in a turbulent regime applying turbulence models is studied. To accomplish this objective, it is done a brief introduction to the work done on the Final Degree Thesis. After this introduction, the turbulence phenomena is presented and the Lid Driven Cavity case is solved using the LES turbulence model. To continue with this study, an introduction to parallelization is done, a couple of simple cases related to this topic are solved, and the importance of using unstructured meshes is mentioned. Finally, a practical case is solved, a thermal heat storage called Thermocline. First, the mathematical model for both fluid and solid are presented. Furthermore, a numerical study is done in order to determinate the parameters of a reference case, to be able to give some results. To continue, a parametric study is done, in order to understand the behavior of certain parameters. It must be said that all the cases has been solved with self-made C++ codes, except the practical case, which has been solved with a software developed by CTTC called TF2.