Advanced study for the numerical resolution of the Navier-Stokes equations. Applications to the industrial and aerodynamic fields: Case 80A

The main objective of this work is to study interesting cases related to mechanics of fluids and heat transfer: they have studied two cases to validate the discrete diffusion equation by convection in laminar regime, they have studied two cases to validate the discrete equations of Navier-Stokes in laminar regime and they have studied two cases to validate the discrete Navier-Stokes equations in turbulent regime using LES and RANS models. In addition, the spectral and pseudospectral methods are Revised in Appendix A. To do so, the author has written his own code for the first four cases and for the spectral and pseudospectral cases, and has used Termo code uids and Open- FOAM code for fifth and sixth cases. All results have been contrasted with experimental results and / or DNS. The sixth chapter, which is the most interesting, contains a novel preprocessing. tool based on the background Conservation of symmetry [1]. This tool allows us to guarantee if the pressure-speed coupling system will reach convergence when used meshes placed (in any dimension and with any type of mesh). The development This tool consists of 2 new slogans, 3 new theorems and 3 new corollaries. Motto 1, theorems 2 and 3 and corollaries 1 and 3 have been proven by me, motto 2 years corollary 2 has been proven by Dr. Xavi Trias and theorem 1 has been proven by Dr. Xavi Trias and me.