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Advanced Topics in Computational Fluid Mechanics

Code 18158
Year 1
Semester S1
ECTS Credits 6
Workload TP(60H)
Scientific area MECÂNICA COMPUTACIONAL
Entry requirements N.A.
Learning outcomes This course involves advanced concepts and techniques in fluid flow simulation, focusing on turbulence modelling, non-Newtonian fluid dynamics, and cutting-edge computational methods for complex flows. It aims to equip students with the theoretical foundation and practical skills needed to simulate, analyse, and interpret complex fluid phenomena in engineering applications. -Deepen the understanding of turbulent flow theory. -Introduce advanced turbulence modelling techniques, including RANS and LES. -Explore numerical methods for compressible and shock-capturing flows. -Examine the behaviour and simulation of non-Newtonian fluids, incorporating rheological concepts and constitutive models. -Apply advanced CFD techniques to solve practical problems in engineering.
Syllabus 1: Advanced Turbulence Modeling and Simulation Theory of Boundary Layer and Turbulence, Review of laminar vs. turbulent flows, characteristics of turbulent boundary layers, governing eqs for turbulent flows, Reynolds-averaged Navier-Stokes (RANS) eqs, Statistical description of turbulence, Kolmogorov's theory and turbulence ranges, Overview of turbulence models, Practical applications of RANS and LES models, Case studies in turbulent flow modeling 2: Compressible and Shock-Capturing Flow Simulation Fundamentals, Shock waves physical interpretation Mach number and flow regimes, Shock-Capturing Techniques, Godunov's method and high-resolution schemes, applications in supersonic and hypersonic flows. 3: Non-Newtonian Fluid Dynamics Definition and classification of non-Newtonian fluids, Rheological properties, power-law and Bingham fluids Constitutive models for viscoelastic and viscoplastic fluids, Governing eqs for non-Newtonian fluid flows, Numerical Simulation
Main Bibliography -S.V. Patankar, Numerical Heat Transfer and Heat Flow, Hemisphere Publishing Corp., 1980. -J.H. Ferziger e M. Perré, Computational Methods for Fluid Dynamics, Springer, New York, 1997. -H. Versteeg e W. Malalasekra. An Introduction to Computational Fluid Dynamics: The Finite Volume Method. Prentice Hall, 2nd Ed., 2007. -Steven A. Pope (main text): Turbulence, Cambridge (2004). -P. A. Davidson (secondary text): Turbulent Flows, Oxford (2000) -Tennekes & Lumley (Supplementary text): A first course in turbulence (1972) -Turbulent Flows by S.B. Pope -Rheology for Chemists by R.H. Colby -Non-Newtonian Flow and Applied Rheology by R.P. Chhabra and J.F. Richardson
Teaching Methodologies and Assessment Criteria The evaluation consists of different differentiating elements duly linked to the syllabus of the curricular unit: - Frequency Test, TF (11 Vs) on the theoretical-practical subject of the classes. -Practical Laboratory Assignments, TP (5Vs) originating from the development of several computer codes in the classroom referring to the syllabus of the curricular unit. - Mini-project work, PM (4Vs) which comprises the development of a more substantial code to solve a problem that is included in the UC program, to be developed by the student individually and outside the classroom.
Language Portuguese. Tutorial support is available in English.
Last updated on: 2026-02-09

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