Advanced Numerical Methods for Free-Surface Hydrodynamics

From Monday 21^st January to Friday 1^st February 2013

Lecturers:

Prof. Vincenzo Casulli and Prof. Dr. Ing. Michael Dumbser - Department of Civil, Environmental and Mechanical Engineering, Laboratory of Applied Mathematics - University of Trento, Italy 

This course consists of a structured intensive two-week programme of 60 hours of theoretical lectures and computer laboratory exercises on advanced numerical methods for the computation of large scale problems in free-surface hydrodynamics. The underlying mathematical models for these problems are derived from the incompressible Euler and Navier-Stokes equations in three dimensions. The following models are presented in the course: a fully three-dimensional hydrostatic model, two-dimensional models using lateral and horizontal averaging, the one-dimensional open-channel equations. We present semi-implicit Eulerian-Lagrangian finite difference schemes on regular Cartesian grids that are very accurate and efficient since they are unconditionally stable and thus allow large time steps. A new rigorous treatment of wetting and drying is presented. The course includes 30 hours of practical exercises in the computer laboratory of the University of Trento, where some of the most important models and methods are implemented using MATLAB.

At the end of the course participants will receive a certificate of attendance. The certificate will be issued upon verification of the signatures daily taken during the classes. Participants interested in obtaining certified ECTS (5 ECTS) will have to pass a short examination.

REGISTRATIONS ARE OPEN!

Instructions in the file in the download box below