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Electromechanical Engineering
Computational Electromechanics

Computational Electromechanics

Code	17634
Year	1
Semester	S1
ECTS Credits	6
Workload	T(30H)/TP(30H)
Scientific area	ENGENHARIA ELECTROMECÂNICA
Entry requirements	N.A.
Learning outcomes	1. Understanding and Application of Numerical Methods: (i) Teach the finite volume method to computationally solve problems in fluid mechanics and heat and mass transfer, and (ii) teach the finite element method to computationally solve problems in solid mechanics. 2. Programming: Develop programming skills in Fortran (or Matlab) for simulating engineering problems. 3. Simulation and Analysis of Electromagnetic Problems: Introduce the use of a commercial finite element code (FEMM) for electrostatics and electromagnetism problems. 4. Mathematical and Physical Interpretation: Understand the mathematics of physical phenomena, the partial differential equations governing them, and the associated discretization methods. 5. Practical Development: Implement numerical simulations and write a technical report, combining the resolution of practical problems.
Syllabus	I: Finite Volume Method 1. Contextualization of the method in computational simulation. 2. Review of differential equations in fluid mechanics and heat transfer. 3. Discretization and Fundamentals of the Method. 4. Diffusion Equation: Discretization and numerical resolution. 5. Treatment of Convection and Velocity Field: Understanding convective schemes and the SIMPLE algorithm. II: Finite Element Method 1. Matrix analysis with spring elements; equilibrium equations; global stiffness matrix. 2. Energy Principles: Virtual displacements; minimum total potential energy principle. 3. Approximate Methods: Ritz method and weighted residuals. 4. Variational Formulation: General conditions of equilibrium, strain-displacement relations, and constitutive equations; boundary conditions and degrees of freedom. 5. Types of Elements. III: Electromagnetism and FEM method 1. Resolution of Maxwell's equations. 2. 2. Sizing Electromagnetic Devices: Simulation using FEMM software.
Main Bibliography	- “Mecânica Computacional - Notas Didáticas”, P.J. Oliveira, Reprografia da UBI, 2001, págs. 164. - “An Introduction to Computational Fluid Dynamics: The Finite Volume Method”, . K. Versteeg, Weeratunge Malalasekera, Pearson Education, 2007 - “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. - “Análise de campos eletromagnéticos por elementos finitos”, “Diapositivos de apoio às aulas, D.S.B. Fonseca. - “The finite element method in elctromagnetics“, J. Jin ; John Wiley & Sons, 1993. - “An introduction to the finite element method”, J. N. Reddy; McGraw-Hill, 1993. - “The Finite Element Method”, T. J. R. Hughes; Prentice-Hall, Englewood Cliffs, NJ, 1987. - “Finite Elements in Applied Mechanics”, M. N. Bismarck-Nasr; Abaeté, São Paulo, 1993.
Teaching Methodologies and Assessment Criteria	In this curricular unit, there is no final exam. The assessment is based on mini-projects for Part I (A = 50%), homework assignments for Part II (B = 30%), and an applied project in the electromagnetism section (C = 20%). The final grade is calculated based inthe follwing formula: final grade=0.5A+0.3B+0.2*C
Language	Portuguese. Tutorial support is available in English.