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Dettaglio Insegnamento

Context
Academic Year 2021/2022
Name Dott. - MI (1385) Modelli e Metodi Matematici per l'Ingegneria / Mathematical Models and Methods in Engineering
Programme Year 1

Course Details
ID Code 057412
Course Title NUMERICAL METHODS FOR THE GEOSCIENCES
Course Type MONODISCIPLINARE
Credits (CFU / ECTS) 5.0
Course Description 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.
Scientific-Disciplinary Sector (SSD) --

Details
Alphabetical group Professor Course details
From (included) To (excluded)
A ZZZZ Scotti Anna, Fumagalli Alessio
manifestidott v. 1.7.0 / 1.7.0
Area Servizi ICT
23/05/2022