Fundamental concepts on numerical and theoretical analysis of fluid dynamic problems of interest in applied research and hydrodynamic design. The course will provide the theoretical background as well as advanced numerical skills through practical applications.
teacher profile teaching materials
Dimensionless parameters.
Classification of Partial Differential Equations.
Concetti fondamentali: discretizzazione, consistenza, stabilità, convergenza, stima dell'errore.
Fundamental concepts: discretization, consistency, stability, convergence, error estimation.
Finite Difference Method.
Finite Volume Method.
Spectral Method.
Particle-based methods: the Lattice Boltzmann method.
Application examples of the aforementioned methods.
Programme
Review of Fluid Mechanics.Dimensionless parameters.
Classification of Partial Differential Equations.
Concetti fondamentali: discretizzazione, consistenza, stabilità, convergenza, stima dell'errore.
Fundamental concepts: discretization, consistency, stability, convergence, error estimation.
Finite Difference Method.
Finite Volume Method.
Spectral Method.
Particle-based methods: the Lattice Boltzmann method.
Application examples of the aforementioned methods.
Prerequisiti
Fluid Mechanics, Mathematical AnalysisCore Documentation
Lecture notes given by the instructorAttendance
Strongly recommendedType of evaluation
Prova orale sul programma e sugli esempi applicativi.