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Dettaglio Insegnamento

Contesto
Anno Accademico 2021/2022
Corso di Studi Dott. - MI (1385) Modelli e Metodi Matematici per l'Ingegneria / Mathematical Models and Methods in Engineering
Anno di Corso 1

Scheda Insegnamento
Codice Identificativo 057412
Denominazione Insegnamento NUMERICAL METHODS FOR THE GEOSCIENCES
Tipo Insegnamento MONODISCIPLINARE
Crediti Formativi Universitari (CFU) 5.0
Programma sintetico We will address the following topics, progressing in parallel with mathematical and numerical modeling: - Single phase flow in porous media: introduction, definitions and governing equations. Discretization methods: the advantages of mixed methods vs primal methods, with a focus on heterogeneities in material properties. Exercise session: simple numerical simulations with the software Porepy. - Discretization of complex domains (layered, heterogeneous media and presence of thin inclusions such as fractures). Coupled hybrid dimensional PDEs. Flexible numerical methods for non-standard grids (such as VEM). Exercise session: numerical experiments with Porepy. - Transport phenomena in porous media (passive transport, two-phase flow). Implicit and explicit discretization schemes, time step restrictions, choice of the numerical flux and its effects. - Poroelasticity: a primer on linear elasticity, introduction to Biot's theory, coupled mathematical model. Invited seminar on solution strategies (monolithic vs iterative splittings) by J.Both (University of Bergen). Exercise session: numerical tests in Porepy. - Reactive transport: mathematical modeling by advection-diffusion-reaction PDEs. Solution strategies: fully coupled vs iterative and non-iterative splittings; choice of the time advancing scheme; stiffness due to the coexistence of time scales. Exercise session: comparison of the strategies on a simple one-dimensional problem.
Settori Scientifico Disciplinari (SSD) --

Dettaglio
Scaglione Docente Programma dettagliato
Da (compreso) A (escluso)
A ZZZZ Scotti Anna, Fumagalli Alessio
manifestidott v. 1.7.0 / 1.7.0
Area Servizi ICT
12/08/2022