Second cycle degree in MATHEMATICAL ENGINEERING - INGEGNERIA MATEMATICA (Ord. 2015) (discontinued)

Campus: PADOVA

Language: English

Teaching period: Second Semester


Number of ECTS credits allocated: 9

Prerequisites: The student should possess an enough level of knowledge in the field of mathematics and geometry, with particular regard to the differential and integral calculus, and the linear algebra. Furthermore the student is suppose to know the bases of the fluid and solid mechanics, of the structural mechanics as well as the computational mechanics including the numerical methods used in the engineering
Course unit contents: - Review of the main topics of Solids Mechanics, Continuum Mechanics, Structural Mechanics, Computational Mechanics and Numerical Techniques needed for the course.
- Fire safety engineering: design concerns, (control of ignition, control of flammability and fire growth, fire safety management), fire detection and control, compartmentation, structure collapse, etc.
- Design philosophies: ambient limit state design, fire limit states, assessment models, applicability of assessment levels, etc.
- Prescriptive approach: standard fire test and its drawbacks, prescriptive determination of fire resistance.
- Behaviour of natural fires: development of compartment fires, factors affecting growth phase, calculation of compartment temperature–time responses, estimation of fire characteristics, fire severity and time equivalence, localised fires, zone modelling and computational fluid dynamics (CFD).
- Computational fluid dynamics: basic equations and mathematical model formulation, strong gradients-thermal fields, hypothesis and limitations in the mathematical formulation, main numerical techniques to solve the problem (FEM, finite volumes, cartesian grids, etc.);
- Radiation in cavity with media participation: presence of dusts, soot, smoke and other adsorbing-scattering substances, mathematical and numerical models for the radiation in cavity.
- Properties of materials at elevated temperatures: steel, concrete, masonry, timber.
- Modelling of structural behaviour: thermal analysis, (governing equation and boundary conditions, finite element solution of heat transfer problem), structural analysis (by means of simple approaches and by using finite element method), coupled analysis of heat and mass transfer in concrete and other multiphase porous materials.
- Computational modelling of fire/fluid-structure interaction: analysis of the most important fields and couplings, numerical techniques, special algorithms.
- Design of structural elements (notes): design of concrete and steel elements, composite constructions, design of timber elements, frames.