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Computational Mechanics Laboratory (Thermodynamics)

Code 16155
Year 3
Semester S1
ECTS Credits 1,5
Workload PL(15H)
Scientific area MECÂNICA COMPUTACIONAL
Entry requirements It is assumed that students are familiar with thermodynamic analysis
Learning outcomes To equip students with the ability to autonomously solve Applied Thermodynamics problems whose solutions cannot be obtained through simple mathematical analysis, using numerical and computational methods. This implies:
• Developing skills to solve Applied Thermodynamics problems using numerical methods.
• Being able to analyze a thermodynamic problem, identify relevant variables and relationships, and design a suitable numerical algorithm to solve it.
• Implementing algorithms in computer programs using high-level languages (e.g., Matlab or Fortran).
• Applying techniques such as interpolation, numerical integration, and solution of linear systems of equations to thermodynamic problems.
• Simulating processes and thermodynamic cycles, optimizing parameters, and critically interpreting the results obtained.
• Using commercial tools, such as EES (Engineering Equation Solver), to validate their own codes and explore more complex problems
Syllabus • Numerical interpolation and extrapolation (linear, polynomial, piecewise).
• Numerical integration (trapezoidal rule, Simpson’s rule, Gaussian quadrature).
• Numerical solution of systems of linear algebraic equations (Gaussian elimination, matrix methods, or built-in solvers).
• Calculation of thermodynamic properties (u, h, s) when cp(T)) or cv(T) are given as functions of temperature.
• Analysis of processes involving compression or expansion of gases with variable properties.
• Optimization of thermodynamic cycles and calculation of efficiency as a function of governing parameters.
• Use of EES (Engineering Equation Solver) to validate numerical codes and explore advanced thermodynamics problems (e.g., flame temperature, dissociation equilibrium).

Main Bibliography • Fundamentos de Termodinâmica Aplicada, Paulo Pimentel de Oliveira, 2ª Edição de 2015, Lidel Editora, Lisboa.
• Yunus A. Çengel, Michael A. Boles, Thermodynamics: An Engineering Approach, 8th Edition, McGraw-Hill, 2015
Teaching Methodologies and Assessment Criteria The evaluation of this course is based on two main components: quizzes/frequency tests and computational assignments (TPCs) or digital thermodynamic experiments.

Final grade: 0.25 × Quizzes + 0.75 × TPCs/Digital Experiments.
To access the exam: Quizzes = 7/20 and TPCs = 7/20.
To pass: Final grade = 9/20, with Quizzes = 9/20 and TPCs = 9/20.
all of TPCs must be submitted, and 80% attendance is required.
only the QUIZZES are possible to be improved during the exam and the Final grade at the exam will be:
Final grade= 0.25 × EXAM + 0.75 × TPCs/Digital Experiments.
TPCs are individual, evaluated through reports, simulation files, and if necessary, an additional examination of the reports will be requested.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2025-09-19

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