| 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 |
In the first part, the teaching methodology is classical. There are 4h of contact per week, divided into 2 classes: theoretical and practical. The theory and general concepts are given in the theoretical class, at the rate of 1 Section of the syllabus per class (except Sec. 3 which requires 3 classes), while FORTRAN is taught in the practical classes given in parallel. After finishing the theoretical part, the students chose their main problem for evaluation, from a list provided by the staff, and start programming and implementing the code required. This activity is accompanied in a tutorial way in both the theoretical and practical classes. At the end of the semester there is a 3 week module comprising the electromagnetism part of the program, with a theoretical/practical teaching methodology by the 3rd academic staff. Evaluation: Work on finite-volume method with programming and report 70%; work on finite-element method applied to electromagnetism 20%; practical work 10%
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Language |
Portuguese. Tutorial support is available in English.
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