Advanced numerical methods for free-surface hydrodynamics

Lecturer: prof. Vincenzo Casulli

Aim: This short course consists of a structured intensive two week programme of 30 hours of lectures on advanced numerical methods for the computation of large scale problems in free-surface hydrodynamics. The underlying mathematical models are derived from the incompressible Navier-Stokes equations. Specifically, a fully three-dimensional hydrostatic model, two-dimensional models using lateral and horizontal averaging, and the one-dimensional open-channel equations are derived and discussed. Numerically, semi-implicit Eulerian-Lagrangian finite difference schemes on regular Cartesian and orthogonal unstructured grids are proposed. A new rigorous and nonlinear treatment of wetting and drying is included and computer implementation of different numerical models are suggested.

Timetable 2020:

January 2020 Hours Room
Monday 20 9:00 – 12:00 2C
Tuesday 21 9:00 – 12:00 2C
Wednesday 22 9:00 – 12:00 2B
Thursday 23 9:00 – 12:00 2C
Friday 24 9:00 – 12:00 2B
Monday 27 9:00 – 12:00 2B
Tuesday 28 9:00 – 12:00 2B
Wednesday 29 9:00 – 12:00 2C
Thursday 30 9:00 – 12:00 2C
Friday 31 9:00 – 12:00 2B

Duration: 30 hours (4 credits)

Registration: in order to access the course, please send an e-mail to dicamphd [at] unitn.it