Present a number of problems, of interest for application in various scientific and technological areas. Deal with the modeling aspects as well as those of numerical simulation, especially for problems formulated in terms of partial differential equations.
Curriculum
teacher profile teaching materials
Finite difference numerical methods for Computational Fluid Dynamics: conservative schemes, Vorticity-Streamfunction methods, projection methods.
Note: The contents of the course have changed. For this reason, the details of the syllabus will be decided during the course itself.
L. Quartapelle, Numerical solution of the incompressible Navier-Stokes Equations, Springer
Additional material provided by the teacher.
Mutuazione: 20410418 MA410 - MATEMATICA APPLICATA E INDUSTRIALE in Scienze Computazionali LM-40 FERRETTI ROBERTO
Programme
Basic fluid modelling: conservation laws, viscid and inviscid models, incompressibility constraint. Approximate formulations (Euler, Stokes, Shallow Water Equations). Classical, weak and entropic solutions.Finite difference numerical methods for Computational Fluid Dynamics: conservative schemes, Vorticity-Streamfunction methods, projection methods.
Note: The contents of the course have changed. For this reason, the details of the syllabus will be decided during the course itself.
Core Documentation
R. J. LeVeque, Numerical methods for conservation laws, BirkhauserL. Quartapelle, Numerical solution of the incompressible Navier-Stokes Equations, Springer
Additional material provided by the teacher.
Type of delivery of the course
The course is made of classroom activity (pledged to the theoretical part), and laboratory activity (for the coding aspects).Type of evaluation
The theoretical part consists in an oral examination. The laboratory part requires an additional test, consisting in: - a detailed discussion of the laboratory work (for students attending the lab classes); - a short (2h) Matlab coding exam, on a topic close to what has been treated in the lab classes (for students not attending the lab classes). teacher profile teaching materials
Finite difference numerical methods for Computational Fluid Dynamics: conservative schemes, Vorticity-Streamfunction methods, projection methods.
Note: The contents of the course have changed. For this reason, the details of the syllabus will be decided during the course itself.
L. Quartapelle, Numerical solution of the incompressible Navier-Stokes Equations, Springer
Additional material provided by the teacher.
Mutuazione: 20410418 MA410 - MATEMATICA APPLICATA E INDUSTRIALE in Scienze Computazionali LM-40 FERRETTI ROBERTO
Programme
Basic fluid modelling: conservation laws, viscid and inviscid models, incompressibility constraint. Approximate formulations (Euler, Stokes, Shallow Water Equations). Classical, weak and entropic solutions.Finite difference numerical methods for Computational Fluid Dynamics: conservative schemes, Vorticity-Streamfunction methods, projection methods.
Note: The contents of the course have changed. For this reason, the details of the syllabus will be decided during the course itself.
Core Documentation
R. J. LeVeque, Numerical methods for conservation laws, BirkhauserL. Quartapelle, Numerical solution of the incompressible Navier-Stokes Equations, Springer
Additional material provided by the teacher.
Type of delivery of the course
The course is made of classroom activity (pledged to the theoretical part), and laboratory activity (for the coding aspects).Type of evaluation
The theoretical part consists in an oral examination. The laboratory part requires an additional test, consisting in: - a detailed discussion of the laboratory work (for students attending the lab classes); - a short (2h) Matlab coding exam, on a topic close to what has been treated in the lab classes (for students not attending the lab classes). teacher profile teaching materials
Finite difference numerical methods for Computational Fluid Dynamics: conservative schemes, Vorticity-Streamfunction methods, projection methods.
Note: The contents of the course have changed. For this reason, the details of the syllabus will be decided during the course itself.
L. Quartapelle, Numerical solution of the incompressible Navier-Stokes Equations, Springer
Additional material provided by the teacher.
Mutuazione: 20410418 MA410 - MATEMATICA APPLICATA E INDUSTRIALE in Scienze Computazionali LM-40 FERRETTI ROBERTO
Programme
Basic fluid modelling: conservation laws, viscid and inviscid models, incompressibility constraint. Approximate formulations (Euler, Stokes, Shallow Water Equations). Classical, weak and entropic solutions.Finite difference numerical methods for Computational Fluid Dynamics: conservative schemes, Vorticity-Streamfunction methods, projection methods.
Note: The contents of the course have changed. For this reason, the details of the syllabus will be decided during the course itself.
Core Documentation
R. J. LeVeque, Numerical methods for conservation laws, BirkhauserL. Quartapelle, Numerical solution of the incompressible Navier-Stokes Equations, Springer
Additional material provided by the teacher.
Type of delivery of the course
The course is made of classroom activity (pledged to the theoretical part), and laboratory activity (for the coding aspects).Type of evaluation
The theoretical part consists in an oral examination. The laboratory part requires an additional test, consisting in: - a detailed discussion of the laboratory work (for students attending the lab classes); - a short (2h) Matlab coding exam, on a topic close to what has been treated in the lab classes (for students not attending the lab classes).