Educational guide
IDENTIFYING DATA 2024_25
Subject DIGITAL SIMULATIONS IN AEROSPACE ENGINEERING Code 00710324
Study programme
0710 - GRADO EN INGENIERÍA AEROESPACIAL
Descriptors Credit. Type Year Period
6 Compulsory Third First
Language
Castellano
Ingles
Prerequisites
Department MATEMATICAS
Coordinador
BALIBREA INIESTA , FRANCISCO
E-mail fbali@unileon.es
ddelb@unileon.es
Lecturers
BALIBREA INIESTA , FRANCISCO
DELGADO BUENO , DIEGO
Web http://
General description
Tribunales de Revisión
Tribunal titular
Cargo Departamento Profesor
Presidente MATEMATICAS SUSPERREGUI LESACA , JULIAN JOSE
Secretario MATEMATICAS SAEZ SCHWEDT , ANDRES
Vocal MATEMATICAS CASTRO GARCIA , NOEMI DE
Tribunal suplente
Cargo Departamento Profesor
Presidente MATEMATICAS GARCIA FERNANDEZ , ROSA MARTA
Secretario QUIROS CARRETERO , ALICIA
Vocal MATEMATICAS SANTAMARIA SANCHEZ , RAFAEL

Competencias
Code  
A17741
A17744
B5475
B5476
C5 CMECES5 That students have developed those learning skills necessary to undertake further studies with a high degree of autonomy

Learning aims
Competences
A17741
A17744
 B5475
B5476
 C5

Contents
Topic Sub-topic
Block I. DIFFERENTIAL MODELS IN ENGINEERING Unit 1: INTRODUCCIÓN TO PARTIAL DIFFERENTIAL EQUATIONS
Classic equations of physics-mathematics. Classification, normal forms and theoretical deduction of classic equations.

Unit 2: ANALYTICAL RESOLUTION OF PDEs AND FOURIER SERIES
Fourier coefficients. Method of separation of variables.

Unit 3: CLASSIC PROBLEMS OF EDPs
Resolution of homogeneous and inhomogeneous problems based on Fourier series.
Block II. NUMERICAL METHODS IN DIFFERENTIAL MODEL SIMULATION Unit 4: NUMERICAL METHODS FOR ORDINARY EQUATIONS
Numerical methods for initial-value problems and boundary problems. Stability.

Unit 5: FINITE DIFFERENCE METHOD
Finite difference method for elliptic, parabolic and hyperbolic problems. Stability.

Unit 6: FINITE ELEMENT METHOD
Introduction to the finite element method.
Transversal contents: Effective simulation through the programming and execution of scientific software codes: MATLAB, OCTAVE and FreeFEM.

Planning
Methodologies  ::  Tests
  Class hours Hours outside the classroom Total hours
Problem solving, classroom exercises 18 27 45
 
Practicals using information and communication technologies (ICTs) in computer rooms 20 30 50
Personal tuition 0.5 0.75 1.25
 
Lecture 17 25.5 42.5
 
Mixed tests 4.5 6.75 11.25
 
(*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students.

Methodologies
Methodologies   ::  
  Description
Problem solving, classroom exercises Once the theoretical part has been explained, in the problem classes, problems and exercises will be proposed to reinforce the understanding of the physical-mathematical formulation and the different methods of solution proposed.
Practicals using information and communication technologies (ICTs) in computer rooms Simulation and implementation of the numerical solving methods explained in the theory classes. Implementation of simulations and analysis of results.
Personal tuition In person tutorials: individual or group tutorial sessions will be held in the classroom to resolve any doubts that may arise related to the understanding of concepts or the preparation and resolution of work proposed by the teacher. Virtual tutorials: in which students communicate with the teacher through the Moodle forum or email, to raise and resolve doubts.
Lecture In these sessions, the teacher will provide the theoretical bases of the different thematic blocks proposed in the subject. The teaching resources considered appropriate for each thematic unit will be used.

Personalized attention
 
Mixed tests
Description
In addition to group tutorials, in which the student will be able to resolve any doubts that may arise in the preparation of the written tests, the student can count on the help of the teacher in individual tutorials. These tutorials will be carried out in the teacher's office, by appointment at the student's request, either in person in class or by email.

Assessment
  Description Qualification
Problem solving, classroom exercises Written and computer-based tests where applicable At least 80% of the final grade
Lecture Active and positive participation in class will be valued It will account for up to 10% of the final grade
Others Computer practical test It will account for up to 20% of the final grade
 
Other comments and second call

The evaluation will be continuous, summative and is passed obtaining at least 5 points out of a maximum of 10, and will also be subject to the technical, material and human resources available, as well as to the achievement of the planning of the in-person activities.


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First call

- Partial tests: The partial tests (at least 2) that are taken will account for at least 80% of the grade.

- Practices: The grade of the practices will be added to the total grade, therefore assuming a maximum of 20% of the grade.

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Ordinary and extraordinary calls

- Ordinary session (January): All students will have the right to take the entire syllabus of the subject, or those parts previously evaluated (through partial tests) that they consider appropriate. The grade(s) obtained in this test will update those already obtained during the continuous evaluation.

- Extraordinary call: Those students who have failed the ordinary call will have the right to a second call. In this call, the partial exams passed during the continuous evaluation will not be taken into account.

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"During the development of the tests, it will not be allowed to handle any material except that indicated by the teacher. The possession and use of mobile and/or electronic devices during the holding of the tests is strictly prohibited. The simple possession of these devices, as well as notes, books, folders or various materials not authorised during the assessment tests, will entail the immediate withdrawal of the exam, its expulsion from it and its qualification as failing, communicating the incident to the Academic Authority of the Centre so that it can carry out the actions provided for in the Guidelines for Action in Cases of Plagiarism. Copying or Fraud in Examinations or Assessment Tests, approved by the Standing Committee of the Governing Council on 29 January 2015".

Sources of information
Access to Recommended Bibliography in the Catalog ULE

Basic Erwin Kreyszig, Advanced Engineering Mathematics, Wiley and sons, última edición
D.G. Zill and W.S. Weight, Advanced Engineering Mathematics, Jones and Bartlett Publishers, última edición
R.L Burden adn J.D. Faires, Análisis Numérico, Math-Learning , última edición
Philippe Saucez, Alain Vande Wouwer, Carlos Vilas, Simulation of ODE/PDE Models with MATLAB®, OCTAVE and SCILAB, Springer, (eBook)

Complementary Ariesh Iserles , A First Course in the Numerical Analysis of Differential Equations , Cambridge Texts in Applied Mathematics , última edición
S.C. Chapra, R.P. Canale, Métodos Numéricos para Ingenieros, Mc Graw-Hill, útima edición


Recommendations


Subjects that it is recommended to have taken before
DIFFERENTIAL AND INGTEGRAL CALCULUS / 00710002
NUMERICAL AND ESTATISTICAL METHODS / 00710006
MATHEMATICAL METHODS IN ENGINEERING / 00710013