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Numerical Analysis

ERC: Advanced Reduced Order Methods with Applications in Computational Fluid Dynamics (AROMA-CFD)

The aim of AROMA-CFD is to create a team of scientists at SISSA for the development of Advanced Reduced Order Modelling techniques with a focus in Computational Fluid Dynamics (CFD), in order to face and overcome many current limitations of the state of the art and improve the capabilities of reduced order methodologies for more demanding applications in industrial, medical and applied sciences contexts.

Topics in computational fluid dynamics

On April 12 and 19, 2016 classes will be given in room A-134. 

Advanced Topics in Numerical Modelling of PDEs: Part I

Part I: "Reduced Basis Methods and a Posteriori Error Bounds for Parametrized Partial Differential Equations", March 15-17, 2016, Lecturer Prof. Gianluigi Rozza, Tutorials Dr. Francesco Ballarin

Learning outcomes/Objectives:

The course aims to provide the basic aspects of numerical approximation and efficient solution of parametrized; PDEs for computational mechanics problem (heat and mass transfer, linear elasticity, viscous and potential flows) using reduced order methods.

Module Description:

Applied Mathematics: an Introduction to Scientific Computing

  • Frontal Lectures (about 30h), Interleaved with Laboratories (about 30h): total 60h
  •  This course is shared between the PhD in Mathematical Analysis, Modeling, and Applications, the Master in High Performance Computing ( and the Laurea Magistrale in Matematica


Topics in Computational Fluid Dynamics


  • Introduction to CFD, examples.
  • Incompressible flows.
  • Numerical methods for potential and thermal flows
  • Numerical methods for viscous flows: steady Stokes equations
  • Discretization techniques for steady and unsteady Navier-Stokes equations.
  • Advanced optional topic (1): compressible flows.
  • Advanced optional topic (2): fluid and structure interaction.

Material will be provided during classes.


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