Advanced study for the numerical resolution of the Navier-Stokes equations. Applications to mass transport phenomena and combustion modelling with parallel programming

The present thesis consists on the computational study and development of a 3D reactive flows solver. The main objective is the creation of C++ programming codes able to simulate the combustion chemical reactions. To do so, the project follows a series of steps towards the final goal. First, the theoretical and numerical basis and implementation of the incompressible Navier Stokes equations is addressed. Advanced temporal integration methods are used. Additionally, parallelisation techniques are implemented and tested. Two CFD canonical study cases are presented as a verification for the Navier Stokes solver. Once the first step is completed, mass transport phenomena is tackled. The theoretical framework and numerical implementation of the corresponding equations is addressed. A study case on water vapour transportation in air is presented as a verification process. Finally, the reactive flows solver is completed by adding the chemical reaction phenomena using a one step global mechanism. Premixed CH4/Air combustion in incompressible flow is analysed