1. Problem position

Let's take a look at the analysis of aerodynamic flows around a moving aircraft; the problem is to determine the value of parameters such as temperature, pressure, etc. at each point in the medium and at each instant. The phenomenon studied can be modeled by the Navier-Stokes equations, which express the conservation of mass, momentum and energy; in Cartesian coordinates, and in their complete form, these equations comprise more than sixty partial derivatives. Numerical resolution of these equations is necessary because analytical resolution is problematic. Taking into account the Navier-Stokes equations in their entirety would lead...