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Models and applications in CFD

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.


Module 0

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

Module 1

Topics in computational fluid dynamics


  • Introduction to CFD, examples.
  • Constitutive laws
  • Incompressible flows.
  • Numerical methods for potential and thermal flows
  • Boundary layer theory
  • Thermodynamics effects, energy equation, enthalpy and entropy

Computational mechanics by reduced order methods

Mathematics Area, PhD in Mathematical Analysis, Modelling and Applications (AMMA)
Master in High Performance Computing (MHPC)
Lectures Prof Gianluigi Rozza, Tutorials coordinated by Dr Michele Girfoglio, Dr Federico Pichi and Dr Ivan Prusak.

Learning outcomes and objectives

Topics in continuum mechanics

This is a 60-hours introductory course on continuum mechanics and its applications. The aim is to provide first year students with a solid understanding of the fundamental principles of the subject.


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