MATHEMATICAL AND NUMERICAL MODELS FOR CIVIL AND ENVIRONMENTAL ENGINEERING

Vittorio BOVOLIN MATHEMATICAL AND NUMERICAL MODELS FOR CIVIL AND ENVIRONMENTAL ENGINEERING

8802100022
DEPARTMENT OF CIVIL ENGINEERING
P.H.D. COURSE
RISK AND SUSTAINABILITY IN CIVIL, ARCHITECTURAL AND ENVIRONMENTAL ENGINEERING SYSTEMS
2021/2022

YEAR OF COURSE 1
YEAR OF DIDACTIC SYSTEM 2021
FULL ACADEMIC YEAR
CFUHOURSACTIVITY
321LESSONS
Objectives
OVERVIEW.
THE COURSE AIMS TO FIRST PROVIDE CONCEPTS TO FORMULATE ENVIRONMENTAL AND CIVIL ENGINEERING PROBLEMS IN TERMS OF MATHEMATICAL MODELS. THEN, NUMERICAL COMPUTING IS EXPLAINED, CONSISTING OF A SET OF METHODS AND PROCEDURES TO SET UP NUMERICAL MODELS.
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EXPECTED LEARNING RESULTS AND COMPETENCE TO ACQUIRE
KNOWLEDGE OF NUMERICAL COMPUTING BASICS. TO BE ABLE TO SET UP METHODS AND PROCEDURES FOR THE APPROXIMATE SOLUTIONS OF CIVIL AND ENVIRONMENTAL PROBLEMS VIA CALCULATORS.
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KNOWLEDGE AND UNDERSTANDING
TO ACQUIRE THE KNOWLEDGE NECESSARY TO UNDERSTAND THE SPECIFIC PECULIARITIES OF NUMERICAL METHODS AND PROCEDURES.
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KNOWLEDGE AND UNDERSTANDING APPLIED
TO BE ABLE TO SELECT, ANALIZE AND APPLY NUMERICAL METHODS AND PROCEDURES WITH REGARDS TO THE PROBLEM TO BE SOLVED.
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AUTONOMY OF JUDGMENT
KNOWING HOW TO IDENTIFY SUITABLE NUMERICAL METHODS AND PROCEDURES WITH REGARDS TO THE PROBLEM TO BE SOLVED.
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COMMUNICATION SKILLS
TO BE ABLE TO EXPLAIN ORALLY MATHEMATICAL MODELS AND NUMERICAL PROCEDURES, POSSIBLY USING A PERSONAL COMPUTER / NOTEBOOK.
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LEARNING ABILITY
TO BE ABLE TO APPLY THE ACQUIRED CONCEPTS AND SKILLS, TO BE ABLE TO SELF-LEARN THE NEW DEVELOPMENTS OF KNOWLEDGE.
Prerequisites
TO BE ABLE TO OBSERVE, UNDERSTAND, AND MODEL ENGINEERING PHENOMENA. BASIC KNOWLEDGE OF PROGRAMMING (E.G. FUNDAMENTALS OF MATLAB LANGUAGE) IS REQUIRED.
Contents
THE COURSE CONSISTS OF 3 PARTS.
PART I (7 HOURS, 1 ECTS). FROM THE OBSERVATION TO THE FORMULATION OF THE MATHEMATICAL MODEL. NUMERICAL METHODS. TRUNCATION ERROR. ROUND-OFF ERROR. DATA SAMPLING. NUMERICAL RESOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS (PDES), EXPLICIT AND IMPLICIT METHODS, STABILITY OF THE METHOD, COMPUTING GRIDS IN MESH-BASED METHODS, MATLAB EXAMPLES.
PART II (7 HOURS, 1 ECTS). ADVANCED NUMERICAL METHODS: FINITE ELEMENT (FE) AND MESH-LESS SMOOTHED PARTICLE HYDRODYNAMICS (SPH).
PART III (7 HOURS, 1 CFU). EXERCISES IN THE CLASSROOM ON TOPICS TREATED IN PARTS I AND II.
Teaching Methods
THEORETICAL LESSONS (67%) AND EXERCISES IN THE CLASSROOM (33%).
Verification of learning
ORAL EXAM WITH PERSONAL COMPUTER / NOTEBOOK
Texts
SLIDES OF THE LESSONS AND LECTURE NOTES PROVIDED BY THE TEACHERS.
More Information
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