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Risorsa bibliografica facoltativa
Scheda Riassuntiva
Anno Accademico 2018/2019
Scuola Scuola di Ingegneria Industriale e dell'Informazione
Insegnamento 098516 - NUMERICAL AND STATISTICAL METHODS IN GEOSCIENCES
  • 098514 - NUMERICAL AND STATISTICAL METHODS IN GEOSCIENCES [1]
Docente Miglio Edie
Cfu 6.00 Tipo insegnamento Modulo Di Corso Strutturato

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento
Ing - Civ (Mag.)(ord. 270) - MI (489) INGEGNERIA PER L'AMBIENTE E IL TERRITORIO - ENVIRONMENTAL AND LAND PLANNING ENGINEERING*AZZZZ098516 - NUMERICAL AND STATISTICAL METHODS IN GEOSCIENCES
Ing Ind - Inf (Mag.)(ord. 270) - MI (487) MATHEMATICAL ENGINEERING - INGEGNERIA MATEMATICA*AZZZZ098516 - NUMERICAL AND STATISTICAL METHODS IN GEOSCIENCES

Obiettivi dell'insegnamento

The course will give the students the basic knowledge concerning the most important mathematical and numerical methods used to solve the equation of motion of fluids in porous media and to solve the elastodynamic problem.


Risultati di apprendimento attesi

The students with respect to

1) Knowledge and understanding

are expected to: 

- know the fundamental principles of the mathematical and numerical methods for solving porous media, elastodynamics and poroelasticity equation in general situations;

- use proper terminology.

2)  Applying knowledge and understanding

are expected to:

- apply the acquired knowledge to engineering problems;

- be able to provide an abstract formalization of the phenomena of interest;

- use the proposed software to solve practical problems.


Argomenti trattati
  • Introduction to flow in porous media. Numerical methods for single phase flow in porous media: primal (pressure) and mixed formulation. Finite volumes, mixed finite elements and mimetic finite differencing. 
  • Elastodynamics: methods for second order hyperbolic equations (Newmark, leap-frog schemes); finite difference and finite element for wave propagation.
  • Poroelasticity (Biot equations): Splitting strategy for the coupled problem of flow and structure.

The course is organized in theoretical classes and laboratories using Matlab.


Prerequisiti

Basic calculus and linear algebra, basic knowledge of numerical methods for solving linear systems and ODEs.


Modalità di valutazione

The students will be divided into teams and for each part of the course the examination will consist in:

1) reading, understanding and presenting a research paper assigned by the teacher (50% of the part-specific mark);

2) a team project on specific real world problem assigned by the teacher (50% of the part-specific mark).

The students with respect to

1) Knowledge and understanding

are expected to show that they: 

- know the fundamental principles of the mathematical and numerical methods for solving porous media, elastodynamics and poroelasticity equation in general situations;

- are able to use a proper terminology.

2)  Applying knowledge and understanding

are expected to show that they:

- are able to apply the acquired knowledge to engineering problems;

- are able to provide an abstract formalization of the phenomena of interest;

- are able to use the proposed software to solve practical problems.


Bibliografia
Risorsa bibliografica facoltativaQuarteroni, Sacco, Saleri, Numerical Mathematics, Editore: Springer
Risorsa bibliografica facoltativaChen, Huan, Ma, Computational methods for multiphase flows in porous media, Editore: SIAM, Anno edizione: 2006, ISBN: 0-89871-606-3

Forme didattiche
Tipo Forma Didattica Ore di attività svolte in aula
(hh:mm)
Ore di studio autonome
(hh:mm)
Lezione
36:00
54:00
Esercitazione
24:00
36:00
Laboratorio Informatico
0:00
0:00
Laboratorio Sperimentale
0:00
0:00
Laboratorio Di Progetto
0:00
0:00
Totale 60:00 90:00

Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua Inglese
Disponibilità di libri di testo/bibliografia in lingua inglese
Possibilità di sostenere l'esame in lingua inglese
schedaincarico v. 1.6.5 / 1.6.5
Area Servizi ICT
27/09/2020