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Insegnamento
NUMERICAL METHODS FOR CONTINUOUS SYSTEMS
INP5070384, A.A. 2019/20
Informazioni valide per gli studenti immatricolati nell'A.A. 2019/20
Dettaglio crediti formativi
Tipologia |
Ambito Disciplinare |
Settore Scientifico-Disciplinare |
Crediti |
CARATTERIZZANTE |
Discipline matematiche, fisiche e informatiche |
MAT/08 |
6.0 |
Organizzazione dell'insegnamento
Periodo di erogazione |
Secondo semestre |
Anno di corso |
I Anno |
Modalità di erogazione |
frontale |
Tipo ore |
Crediti |
Ore di didattica assistita |
Ore Studio Individuale |
LEZIONE |
6.0 |
48 |
102.0 |
Inizio attività didattiche |
02/03/2020 |
Fine attività didattiche |
12/06/2020 |
Visualizza il calendario delle lezioni |
Lezioni 2019/20 Ord.2017
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Commissioni d'esame
Commissione |
Dal |
Al |
Membri |
4 2018 |
01/10/2018 |
15/03/2020 |
PUTTI
MARIO
(Presidente)
BERGAMASCHI
LUCA
(Membro Effettivo)
JANNA
CARLO
(Supplente)
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Prerequisiti:
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Conoscenze e abilita' da acquisire:
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Objective
Introduce the students to the advanced topics in the numerical solution of PDEs modeling continuous systems
Outcomes
A student who has met the objectives of the course will have a fundamental knowledge of :
- Numerical methods for CFD
- Numerical methods for Computational Mechanics |
Modalita' di esame:
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Oral examination with discussion on the student project |
Criteri di valutazione:
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Critical knowledge of the course topics. Ability to present the studied material. Discussion of the student project. |
Contenuti:
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1. Navier-Stokes and de Saint-Venant equations and their simplifications: Stokes problem; convection-diffusion equation; linear elasticity;
2. FEM methods for elliptic equations and stabilization (SD, SUPG);
3. Mixed formulations and saddle point problems;
4. Extensions to systems of PDEs - stability and (INF-SUP/LBB conditio;
5. Stokes equation
6. Connections between finite elements, finite volumes, finite differences and spectral methods;
7. Method of Lines for parabolic equations
8. Discretization of Navier Stokes equations
10. Practical implementations. |
Attivita' di apprendimento previste e metodologie di insegnamento:
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Lecture supported by tutorial, assignment, exercises and laboratory activities. Students are required to work on computer implementation of both linear algebra and discretization methods using the techniques developed during the course lectures (Matlab/Octave is suggested but other programming languages of their choice are allowed) for the solution of a practical problem as indicated by the teacher. |
Eventuali indicazioni sui materiali di studio:
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Lecture notes and reference books will be given by the lecturer. |
Testi di riferimento: |
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Quarteroni, Alfio; Valli, Alberto, Numerical approximation of partial differential equationsAlfio Quarteroni, Alberto Valli. Berlin: Springer, 1994.
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Didattica innovativa: Strategie di insegnamento e apprendimento previste
- Lecturing
- Problem based learning
Didattica innovativa: Software o applicazioni utilizzati
- One Note (inchiostro digitale)
- Matlab
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