Luca SARNO | MATHEMATICAL AND NUMERICAL MODELS FOR CIVIL AND ENVIRONMENTAL ENGINEERING

cod. 8862000004

MATHEMATICAL AND NUMERICAL MODELS FOR CIVIL AND ENVIRONMENTAL ENGINEERING

	8862000004
	DEPARTMENT OF CIVIL ENGINEERING
	Corso di Dottorato (D.M.226/2021)
	SYSTEMS AND INFRASTRUCTURE ENGINEERING FOR THE ENVIRONMENT, MOBILITY AND THE TERRITORY
	2024/2025

PERCORSO COMUNE

	OBBLIGATORIO
	YEAR OF COURSE 1
	YEAR OF DIDACTIC SYSTEM 2024
	FULL ACADEMIC YEAR

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	ICAR/01	21	21	LESSONS

PROFESSORS

	GIACOMO VICCIONE T Curriculum
	VITTORIO BOVOLIN Curriculum
	LUCA SARNO Curriculum

	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 DESCRIBING THE PHYSICAL PROCESS. . EXPECTED LEARNING RESULTS AND COMPETENCE TO ACQUIRE KNOWLEDGE OF NUMERICAL COMPUTING ELEMENTS. TO BE ABLE TO SET UP METHODS AND PROCEDURES FOR THE APPROXIMATE SOLUTIONS OF CIVIL AND ENVIRONMENTAL PROBLEMS. . KNOWLEDGE AND UNDERSTANDING TO ACQUIRE THE KNOW-HOW TO UNDERSTAND THE SPECIFIC ASPECTS OF NUMERICAL METHODS AND PROCEDURES. . KNOWLEDGE AND UNDERSTANDING APPLIED TO BE ABLE TO SELECT, ANALIZE AND APPLY NUMERICAL METHODS AND PROCEDURES WITH REGARDS TO THE PROBLEM TO BE SOLVED. . AUTONOMY OF JUDGMENT KNOW HOW TO IDENTIFY SUITABLE NUMERICAL METHODS AND PROCEDURES WITH REGARDS TO THE PROBLEM TO BE SOLVED. . COMMUNICATION SKILLS TO BE ABLE TO EXPLAIN MATHEMATICAL MODELS AND NUMERICAL PROCEDURES, USING A PERSONAL COMPUTER / NOTEBOOK. . LEARNING ABILITY TO BE ABLE TO APPLY THE ACQUIRED CONCEPTS AND SKILLS, TO BE ABLE TO SELF-LEARN THE NEW DEVELOPMENTS OF KNOWLEDGE.

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 DESCRIBING THE PHYSICAL PROCESS.
.
EXPECTED LEARNING RESULTS AND COMPETENCE TO ACQUIRE
KNOWLEDGE OF NUMERICAL COMPUTING ELEMENTS. TO BE ABLE TO SET UP METHODS AND PROCEDURES FOR THE APPROXIMATE SOLUTIONS OF CIVIL AND ENVIRONMENTAL PROBLEMS.
.
KNOWLEDGE AND UNDERSTANDING
TO ACQUIRE THE KNOW-HOW TO UNDERSTAND THE SPECIFIC ASPECTS OF NUMERICAL METHODS AND PROCEDURES.
.
KNOWLEDGE AND UNDERSTANDING APPLIED
TO BE ABLE TO SELECT, ANALIZE AND APPLY NUMERICAL METHODS AND PROCEDURES WITH REGARDS TO THE PROBLEM TO BE SOLVED.
.
AUTONOMY OF JUDGMENT
KNOW HOW TO IDENTIFY SUITABLE NUMERICAL METHODS AND PROCEDURES WITH REGARDS TO THE PROBLEM TO BE SOLVED.
.
COMMUNICATION SKILLS
TO BE ABLE TO EXPLAIN MATHEMATICAL MODELS AND NUMERICAL PROCEDURES, USING A PERSONAL COMPUTER / NOTEBOOK.
.
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. ASYMPTOTIC METHODS FOR THE DEVELOPMENT OF SIMPLIFIED MODELS. NUMERICAL METHODS. TRUNCATION ERROR. ROUND-OFF ERROR. DATA SAMPLING. NUMERICAL RESOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS (PDES), EXPLICIT AND IMPLICIT NUMERICAL METHODS, STABILITY OF THE METHOD, COMPUTING GRIDS IN MESH-BASED METHODS, MATLAB EXAMPLES. PART II (7 HOURS, 1 ECTS). ADVANCED NUMERICAL METHODS: FINITE VOLUME METHOD (FV), 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.

Contents

THE COURSE CONSISTS OF 3 PARTS.
PART I (7 HOURS, 1 ECTS). FROM THE OBSERVATION TO THE FORMULATION OF THE MATHEMATICAL MODEL. ASYMPTOTIC METHODS FOR THE DEVELOPMENT OF SIMPLIFIED MODELS. NUMERICAL METHODS. TRUNCATION ERROR. ROUND-OFF ERROR. DATA SAMPLING. NUMERICAL RESOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS (PDES), EXPLICIT AND IMPLICIT NUMERICAL METHODS, STABILITY OF THE METHOD, COMPUTING GRIDS IN MESH-BASED METHODS, MATLAB EXAMPLES.
PART II (7 HOURS, 1 ECTS). ADVANCED NUMERICAL METHODS: FINITE VOLUME METHOD (FV), 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 LECTURERS

	More Information
	HTTPS://WWW.DICIV.UNISA.IT/EN/TEACHING

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Luca SARNO | MATHEMATICAL AND NUMERICAL MODELS FOR CIVIL AND ENVIRONMENTAL ENGINEERING