• Michele Girfoglio ([email protected])

The course provides an introduction to the numerical simulation of laminar and turbulent incompressible flows by using a finite volume method. Each topic will be corroborated by a set of numerical examples to be performed within the open source C++ finite volume library OpenFOAM.

All lectures will be delivered at SISSA.

• Well posedness of an abstract problem
• Numerical approximation of an abstract problem: consistency, convergence and stability
• Lax–Richtmyer theorem

• Derivation of finite difference schemes
• Discretization of Ordinary Differential Equations: truncation error, Von Neumann stability analysis
• Discretization of Partial Differential Equations: truncation error, Von Neumann stability analysis

• Introduction to Finite Volume discretization
• Derivation and discretization of Navier-Stokes equations in primitive variables
• Navier-Stokes equations in stream function-vorticity formulation

• Some insights about the turbulence modelling: RANS and LES approaches
• LES modelling for Quasi Geostrophic equations

For the examination, you are requested to complete a practical exercise and to do an oral examination.

This repository contains, assignements, workspaces, and other material for the course.

New material will be uploaded frequently.

Please consider contributing pull requests to correct typos, or better document the material in this repository!

The content of this repository is distributed with a Creative Common licence. See the file LICENCE.md in this directory for more information.