1. Know, understand and apply the concepts of the science and technology of computational fluid mechanics in order to be able to adapt to new situations. (C3).

2. Perform measurements, calculations, studies and reports on the operating parameters of different types of fluid installations (C5).

3. Ability to work in a multilingual environment (C10).

4. Adopt a responsible, orderly attitude to work and be willing to learn the concepts of numerical resolution of fluid dynamic problems, considering the challenge of the necessary continuous training (C12).

5. Apply the strategies of scientific methodology: analyse the problematic situation qualitatively and quantitatively, propose hypotheses and solutions to solve fluid mechanics problems (C13).

6. Knowledge and skills to apply computer-assisted graphic engineering techniques (TEM 1).

7. Applied knowledge of thermal engineering (TEM3).

8. Applied knowledge of the fundamentals of fluid-mechanical systems and machines (TEM 6).

Summary of contents: Solution of Fluid Mechanics problems addressed and solved by numerical methods, which implies the use of computer calculation systems.



The theoretical contents:

1- Philosophy and field of application of computational fluid dynamics.

2- Equations that govern the flow: continuity, momentum and energy.

3- Mathematical considerations of differential equations. Generalities. Differential equations: hyperbolic, parabolic and elliptical. Simplifications of the Navier-Stokes equation.

4- Preliminary discretization techniques. Discretization. Approximation of the derivatives. Accuracy of the discretization process. Implicit and explicit approach. Theoretical framework: convergence, stability, accuracy of the solution.

5- Brief notes on the theory of similarity. Physical meaning of the dimensionless numbers.

6- Turbulent flow. Reynolds equations averaged over time. Equation models of turbulent kinetic energy. Boundary layer.

7- Basic computational methods applied to incompressible flow. Resolution of the transport equation. Methods to solve the current function. Boundary conditions. Methods to solve the pressure-velocity equation.

8- Basic computational methods applied to compressible flow. Methods for the numerical treatment of shock waves.

9- Generation of meshes and adequate transformations of the equations

10- Multiphase flow. Eulerian and Lagrangian approximation. VOF method (volume of Fluid)



The practical contents:

1- User-level learning of a commercial code of computational fluid dynamics.

2- Application of the theoretical concepts in practical exercises of computer simulation of real fluid mechanics problems. Comparison tests in laboratory vs. Simulation.

In this course, different teaching methodologies are used, the most used being problem solving. Individual and in couple work will be enhanced through the use of computer and bibliographic resources that help students understand the different aspects of the subject.



Master lectures on the conceptual contents of the subject will be taught, with student participation in occasional debates about those contents.



The resolution of issues and problems in the classroom will be done in a participatory manner. Real problems will be provided, which will deepen the theoretical knowledge of the subject and relate the CFD with other related areas. The formulation of questions and open discussion will be encouraged, so that students acquire skills related to oral communication, the ability to synthesize and work in teams.



In computer practices, the concepts studied will be applied to real cases using a commercial program of Computational Fluid Dynamics.



To facilitate and ensure student learning, successive reports will be delivered on the problems raised. Evaluation feed-back will be provided, so that students have the opportunity to become aware of their learning, as well as ways to improve it.



In the event that health conditions prevent the performance of a teaching activity and/or evaluation in person, a non-presential modality will be activated of which the students will be informed punctually.

Students will be graded through a process of continuous assessment of the different tasks developed throughout the course as follows:



1. Practical work (Tutorials, Exercises): 10%

2. Deliverables of questions and small problems: 10%

3. Projects, problems and individual and group work. Directed tasks (works of greater complexity under the guidance of the teacher): 80%.



The following condition will apply: It is necessary to attend 80% of the classroom hours in order to be graded, otherwise it will be graded as "not presented".



In the event that health conditions prevent the completion of a teaching activity and/or face-to-face assessment, a non-face-to-face mode will be activated, of which students will be promptly informed.





Students who, at the beginning of the course, justify any of the reasons listed in article 43.1.c of the EHU/UPV regulations for the management of undergraduate studies, may obtain 100% of the mark by means of a theoretical-practical exam.

Course lecture notes.
Tables and diagrams of Fluid Mechanics course (2nd year).
Star CCM+ User Guide.

Basic bibliography

ANDERSON, J.D.: "Computational Fluid Dynamics. The Basics with Applications". McGraw-Hill, 1995

CHUNG, T.J.: "Computational Fluid Dynamics". Cambridge University Press, 2002.

WILCOX, D.C: "Turbulence Modeling for CFD" ISBN 0-9636051-0-0. Library of Congress Cataloging in Publication Data, 1994.

In-depth bibliography

VERSTEEG, H.K. y MALALASEKERA, W.:"An Introduction to Computational Fluid Dynamics".Pearson, 1995, 2007.
ANDERSON, J.D.: "Computational Fluid Dynamics. The Basics with Applications". McGraw-Hill, 1995
CHUNG, T.J.: "Computational Fluid Dynamics". Cambridge University Press, 2002.
WILCOX, D.C: "Turbulence Modeling for CFD" ISBN 0-9636051-0-0. Library of Congress Cataloging in Publication Data, 1994.