Winterschool part I - Advanced numerical methods for free-surface hydrodynamics
Lecturer: prof. Vincenzo Casulli (UNITN/DICAM)
Timetable: 16- 27 January 2023
Schedule: 3 hours every day from Monday to Friday - hours 8:30 - 11:30
Lectures will be delivered remotely in synchronous mode on the Zoom platform. The link for online participation will be sent to all registered participants.
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 vertical 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.
Duration: 30 hours (4 credits)
Registration: in order to register for the course please send an email to dicamphd [at] unitn.it