| Study programme competencies |
| Code | Study programme competences |
| B1 | CB06 Posuír e comprender coñecementos que acheguen unha base ou oportunidade de ser orixinais no desenvolvemento e/ou aplicación de ideas, a miúdo nun contexto de investigación |
| B3 | CB08 Que os estudantes sexan capaces de integrar coñecementos e enfrontarse á complexidade de formular xuízos a partir dunha información que, sendo incompleta ou limitada, inclúa reflexións sobre as responsabilidades sociais e éticas vinculadas á aplicación dos seus coñecementos e xuízos |
| B5 | CB10 Que os estudantes posúan as habilidades de aprendizaxe que lles permitan continuar estudando dun modo que haberá de ser en boa medida autodirixido ou autónomo. |
| B6 | G01 Capacidade para resolver problemas complexos e para tomar decisións con responsabilidade sobre a base dos coñecementos científicos e tecnolóxicos adquiridos en materias básicas e tecnolóxicas aplicables na enxeñaría naval e oceánica, e en métodos de xestión. |
| C2 | C1 Capacidade pra desenrolar a actividade profesional nun entorno multilingue |
| C3 | ABET (a) An ability to apply knowledge of mathematics, science, and engineering. |
| C7 | ABET (e) An ability to identify, formulate, and solve engineering problems. |
| C12 | ABET (j) A knowledge of contemporary issues. |
| C13 | ABET (k) An ability to use the techniques, skills, and modern engineering tools necessary for engineering practice. |
| Learning aims | |||
| Learning outcomes | Study programme competences | ||
| Ability for coding numerical methods related to continuum mechanics | BC1 BC3 BC5 BJ1 |
CC2 CC3 CC7 CC12 CC13 |
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| Ability to develop fundamental test cases related to structures and hydrodynamic analysis | BC1 BC3 BC5 BJ1 |
CC2 CC3 CC7 CC12 CC13 |
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| Contents |
| Topic | Sub-topic |
| The blocks or the following contents develop the established topics in the "Memoria de Verifcación". | 1.- Finite Difference, Finite Element and Finite Volume Method. 2.- Eliptic PDE. Hydrodynamic and structures application. 3.- Solution to linear equations systems. 4.- Convective interpolation Schemes introduction. 5.- Coding cases. |
| Remembering conservation laws: | 1.- Conservation laws (mass and momentum). 2.- Combined convection / diffusion 3.- Constitutive relations |
| Pure diffusion | 1.-FVM for purely diffusive problems 2.- 1D, 2D and 3D approach. 3.- Coding cases |
| Convection | 1.- FVM for purely convective problems. 2.- 1D, 2D y 3D approach. 3.- Consistency and stability 4.- Coding cases |
| Linear equations systems | 1.- Sparse matrix systems. 2.- Point to point, line to line and plane to plane methods. 3.- High and low frequency errors. Multigrid methods. 4.- Conjugate gradient method. 5.- Coding cases |
| Introduction to FEM analysis for elastic solids | 1.- General procedure 2.- User vs developer perspectives |
| Equilibrium equations for elastic solids | 1.- Methodologies for yielding the equilibrium equation: Weak and strong approaches. 2.- Weak form of equilibrium. Introduction to variational calculus and weighted residuals. Methods of Hamilton and Galerkin |
| General aspects of FEM procedure | 1.- Fundamental approach in FEM. Shape functions. 2.- Basic features of shape functions. Geometric and natural coordinates. Isoparametric elements. 3.- Equilibrium equation for a discrete solid. Weak solution. 4.- Fundamental matrices. Assembling stiffeness matrices of discrete solids. 5.- Numerical integration of Gauss Legendre. Complete and reduced integration. 6.- Introduction to linear equations solvers. |
| Error and convergence in FEM | 1.- Different kind of errors 2.- Convergence conditions 3.- Energetic norm of the error 4.- Introduction to adaptive mesh |
| Kind of elements | 1.- Approach to 1D cases 2.- Approach to 2D cases 3.- Approach to 3D cases |
| Coding cases | Coding discrete cases for 1D, 2D or 3D applications |
| Planning | ||||
| Methodologies / tests | Competencies | Ordinary class hours | Student’s personal work hours | Total hours |
| Guest lecture / keynote speech | B1 B3 B5 B6 C2 C3 C7 C12 C13 | 35 | 0 | 35 |
| Problem solving | B1 B3 B5 B6 C2 C3 C7 C12 C13 | 10 | 0 | 10 |
| Supervised projects | B1 B3 B5 B6 C2 C3 C7 C12 C13 | 0 | 33 | 33 |
| Case study | B1 B3 B5 B6 C2 C3 C7 C12 C13 | 0 | 32.5 | 32.5 |
| Objective test | B1 B3 B5 B6 C2 C3 C7 C12 C13 | 1 | 0 | 1 |
| Personalized attention | 1 | 0 | 1 | |
| (*)The information in the planning table is for guidance only and does not take into account the heterogeneity of the students. | ||||
| Methodologies |
| Methodologies | Description |
| Guest lecture / keynote speech | Oral presentation complemented with the use of multimedia and the introduction of some questions addressed to students, in order to transmit knowledge and facilitate learning. |
| Problem solving | Technique where a specific complex situation must be solved, based on the knowledge that has been worked on, which can have more than one possible solution. |
| Supervised projects | Methodology designed to promote the autonomous learning of students, under the advise of the professor and under varied scenarios (academic and professional). It is referred primarily to learning how to do things. It is an option based on the assumption by students of the responsibility for their own learning. This teaching system is based on two basic elements: the independent learning of the students and the monitoring of that learning by the professor. |
| Case study | Methodology where the subject faces the description of a specific situation that poses a problem that has to be understood, valued and solved by a group of people, through a process of discussion. The student is faced with a specific problem (case), which describes a real situation of professional life, and must be able to analyze a series of facts, referring to a particular field of knowledge or action, to reach a reasoned decision through a process of discussion in small work groups. |
| Objective test | Is the exam. Might be written, oral or a mix. |
| Personalized attention |
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| Assessment | |||
| Methodologies | Competencies | Description | Qualification |
| Supervised projects | B1 B3 B5 B6 C2 C3 C7 C12 C13 | It is compulsory, under professor demand, to deliver the proposed home tasks and simulations on time along this course. The delivered tasks and simulations will be assessed by the professor and will be considered for the final qualification. | 60 |
| Objective test | B1 B3 B5 B6 C2 C3 C7 C12 C13 | Is the exam. | 40 |
| Assessment comments | |||
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In order to pass this subject it is compulsory attain a qualification above four over ten in the exam. It is also necessary to deliver the required homework (EACH/ALL OF THE REQUIRED TASKS) in the correct manner and within the limiting established time. In case the homework be not delivered in the correct way and/or time the possibility to pass this subject will be lost.
The students presence will not required and is not scored. Therefore there will be no difference between the partial time and full time students. All of them will develop the same work/requirements in order to pass the subject. The same requirements will be applied to students with "dispensa académica". |
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| Sources of information |
| Basic |
Hildebrand F.B. (1976). Advanced calculus for applications. Prentice hall
Pablo Fariñas (2013). Apuntes de clase.
Versteeg H.K. & Malalasekera W. (1995). Computational fluid dynamics, the finite volume method.. Longmann
K.J. Bathe (). Finite Element Procedures. MIT Press
G.R. Liu, S.S Quek (). The Finite Element Method, a practical approach. ELSEVIER Butterworth-Heinemann
O.C Zienkiewicz et al (). The Finite Element Method, its basis and fundamentals. ELSEVIER Butterworth-Heinemann
Maliska C.R. (1995). Transferencia de calor e mecánica de fluidos computacional.. LTC editora |
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| Complementary | |
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| Recommendations | ||
| Subjects that it is recommended to have taken before |
| Subjects that are recommended to be taken simultaneously |
| Subjects that continue the syllabus | ||
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| Other comments | |
| In order to attain a sustainable environment and satisfy the action number five: “Docencia e investigación saudable e sustentable ambiental e social” of the "Plan de Acción Green Campus Ferrol": All documents developed along this subject will: 1.- Be developed in electronic format. 2.- Be released through the Moodle platform, and avoiding printed documents. In case the paper format be necessary: 1.- Plastics will be avoided. 2.- Both faces of paper will be used. 3.- Recycled paper will be used. 4.- Avoid printed test drafts. A sustainable use of resources and facilities must be considered in order to avoid negative impacts over the natural environment. |