Numerical methods for incompressible flows

Present the main algorithms used for the numerical simulation of incompressible flows, in particular those to be found in major industrial codes.

After recalling the particularities of the incompressible Navier-Stokes equations, we will detail the 2 main families of algorithms used to solve these equations numerically by volume or finite difference approaches: projection methods and segregation methods. We will then present the most efficient techniques for solving large linear systems obtained after discretization of the equations.

1st year course on numerical methods