The finite volume method is a very popular approach for the computation of industrial flows. Domains of application include aeronautics, for the simulation of external or internal aerodynamics (see Figure 1.1). The popularity of this approach comes from the particular attention paid to conservativity. Indeed, the flux balance is controlled on the discrete level, the first discretization step consisting in the integration of the equations on elementary control volumes. The following presentation of the finite volume method only constitutes an overall introduction to the strategy of discretization. More details can be found in books such as [Hirsch, 2007], [Peyret, 1996], [Versteeg and Malalasekera, 1995], and references cited in the text.