Università Roma Tre

Kinematics of fluids: analysis of the deformation in the neighbourhood of a point. Vorticity and related theorems. Decomposition of the velocity fields. The governing equations of Fluid Mechanics: massa, momentum and energy budget. Hydraulic modelds: the 1D scheme. Application to the analysis of unsteady pipe flows. The method of characteristics. Application to the analysis of unsteady Surface flows: the De Saint Venant equations and computational methods to solve them. The 2D scheme: the Shallow Water equations. Applications to the unsteady free surface flows. Computational methods for solving the shallow water equations. The Navier-Stokes equation and its approximations in Hydraulics: low Reynolds number flows, weakly non-hydrostatic approximation, boundary layer theory, Boussinesque approximation. Ideal fluids.
Turbulence for uncompressible fluids.

Lecture notes.

Readings suggested by the teacher during the course.