Programme

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.

Core Documentation

Lecture notes.

Readings suggested by the teacher during the course.

Type of delivery of the course

Class lessons and exercitations

Type of evaluation

Oral test performed according to the articles 1, 2 of the Rectoral Decree n. 703 of 5 may 2020.