Università Roma Tre

Basic fluid modelling: conservation laws, viscid and inviscid models, incompressibility constraint. Approximate formulations (Euler, Stokes, Shallow Water Equations). Classical, weak and entropic solutions.
Finite difference numerical methods for Computational Fluid Dynamics: conservative schemes, Vorticity-Streamfunction methods, projection methods.

Note: The contents of the course have changed. For this reason, the details of the syllabus will be decided during the course itself.

R. J. LeVeque, Numerical methods for conservation laws, Birkhauser

L. Quartapelle, Numerical solution of the incompressible Navier-Stokes Equations, Springer

Additional material provided by the teacher.