| Code |
15262
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| Year |
1
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| Semester |
S1
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| ECTS Credits |
6
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| Workload |
T(30H)/TP(30H)
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| Scientific area |
Mechanics and Thermodynamics
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Entry requirements |
Applied Thermodynamics I and II. Electromagnetism. Heat Transfer. Fluid Mechanics.
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Mode of delivery |
Face to face.
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Work placements |
Not applicable.
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Learning outcomes |
To teach the fundamentals of the finite volume method with view to solve computational problems involving fluid mechanics, heat or mass transfer, and elasticity. To gain proficiency in the utilization of a FEM-based commercial code for electrostatic and electromagnetism applications.
At the end of the UC the student is able:
To interpret the physical meaning of a partial differential equation and the terms that compose such equations
To acquire the concept of discretization and know the basis of the finite volume method and its general rules
To know how to discretize a general diffusion equation, to assemble the final algebraic equation, and to solve the linear sets of equations
To recognise the most improtant convective schemes and their problematic
To learn the pressure-correction algorithm (SIMPLE) for the solution of the equations of motion of a fluid
To learn the FORTRAN language.
To use a commercial code for the simulation of electromagnetic problems.
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Syllabus |
Part I (Finite Volume Method)
1. Introduction.
2. Partial differential equations of mathematical physics.
3. Basis of the finite volume method.
4. Application to problems of pure diffusion.
5. Treatment of convection.
6. Calculation of the velocity field.
Part II (Electromagnetism)
1. Introduction to the Finite Element Method when applied to the solution of the Maxwell equations
2. Design of small electromagnetic devices with the FEMM code (Finite Element Method
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Main Bibliography |
“Mecânica Computacional - Notas Didáticas”, P.J. Oliveira, Reprografia da UBI, 2001, págs. 164.
“Numerical Heat Transfer and Fluid Flow”, S. V. Patankar, Hemisphere Pub, 1980.
“Computational Methods for Fluid Dynamics”, J.H. Ferziger e M. Peric, Springer Verlag, 2 Ed, 2002.
FEMM- Manual and Tutorials.
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Teaching Methodologies and Assessment Criteria |
Part I of the course will be conducted in the traditional way, with lectures (2h/week) to introduce fundamental concepts and numerical methods, and practical classes (2h/week) focused on programming, mainly in Fortran or Matlab, applied to engineering problems. The practical sessions introduce programming progressively, with immediate examples.
After completing the theoretical classes, students develop a final project, the main assessment component of Part I.
Part II consists of a 3-week module on the finite element method applied to electromagnetism, with a theoretical-practical approach, using the FEMM software for real electromagnetic engineering problems.
Assessment is based on a final assignment for part I (80%) and an applied assignment for part II (20%).
Doubt times: Tuesdays, 3-5pm (Prof. Mahdi) and Thursdays, 12-1pm (Prof. Fonseca).
For exams, students can hand in an improved version of the project on the date of the exam.
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Language |
Portuguese. Tutorial support is available in English.
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