Computational Fluid Dynamics (FSI-MVP-A)

Academic year 2020/2021

Supervisor:	doc. Ing. Pavel Rudolf, Ph.D.
Supervising institute:	EÚ	all courses guaranted by this institute
Teaching language:	English
Aims of the course unit:
Aquainting with principles of computational fluid dynamics, gaining knowledge for practical work with CFD software.
Learning outcomes and competences:
Student will get acquinted with principles of numerical solution of fluid flow and with optimization methods for fluid machines and elements design. Student will obtain skills of work with particular CFD code (Fluent).
Prerequisites:
Knowledge of basic equations of fluid flow, basics of work with PC.
Course contents:
Computational fluid dynamics (CFD) is one of the three pillars of modern fluid dynamics (theoretical fluid dynamics, experimental fluid dynamics, CFD). Spreading of the CFD codes into practice requires acquainting with methods of numerical solution of fluid flow. Their knowledge is necessary for correct evaluation of the computational simulation results and qualified usage of CFD software for fluid machines and systems design.
Teaching methods and criteria:
The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.
Assesment methods and criteria linked to learning outcomes:
Oral and written part, evaluation of the project reports. Overall grading according to ECTS scale.
Controlled participation in lessons:
Attendance is recorded, limited absence is judged individually. 4 project reports.
Type of course unit:
Lecture	13 × 3 hrs.	optionally
Computer-assisted exercise	13 × 2 hrs.	compulsory
Course curriculum:
Lecture	1. Role of CFD in design of fluid machines, advantages and limitations of computational modeling. Motivating presentation of CFD applications. 2. Basic differential equations of fluid mechanics, mathematical classification of these equations, necessity of numerical solution. 3. Approaches to discretization of partial differential equations (finite differences, volumes, elements). Finite volume method (FVM). 4. Application of FVM to 1D and 2D diffusion. Solution of the systém of equations. Convergence. 5. Unsteady problem. Explicit, implicit scheme. 6. Advection – diffusion problem, algorithm SIMPLE. 7. Flow in rotating frame of reference (multiple reference frame, mixing plane, sliding mesh), multiphase flow – basic principles. 8. Turbulence, possibilities of computational solution. Statistical analysis. Reynolds equations. Turbulent stress tensor. Problem of the equation systém closure. Boussinesque hypothesis. 9. Turbulence models (zero, one, two equation models, Reynolds stress model). Large eddy simulation. Direct numerical simulation. 10. Near wall modeling (wall functions, two layer approach). Visualization in CFD environment. 11. Shape optimization of fluid elements, Geometry parametrization, objective function definition, interconnecting of optimization and CFD. 12. Principles of some optimization methods. 13. Integration of CFD in CAE (Computer Aided Engineering) environment. Presentation on the real example of fluid machine or element (together with presentation of the research engineer from industry).

Computer-assisted exercise	1. Acquiting with computational modeling process (preprocessor + solver + postprocessor) 2. – 4. Rotationally symmetrical laminar pipe flow. Comparison of numerical analytical solution. Computational grid building, boundary conditions assigning, preparation of the computational model for solution in the code Fluent, evaluation, writing report for every team 6.-.7. Numerical solution of 1D diffusion problem (arbitrary programming language of spreadshhet) 8.-11. Planar flow through axial blade cascade. Individual teams will compute different flow rates and angles of the cascade. Results will be presented in report. 12.-13. Optimization code of selected optimization method.

Literature - fundamental:
1. Versteeg, H., Malalasekera, W.: An Introduction to Computational Fluid Dynamics : The Finite Volume Method Approach. Prentice Hall. 1996
2. Wilcox, D.C.: Turbulence Modeling for CFD. DCW Industries Ltd. 1992
3. Wendt, J.F.: Computational Fluid Dynamics. Springer-Verlag Telos. 1996
4. Fletcher, C.A.J.: Computational Techniques fo Fluid Dynamics. Springer-Verlag. 1997
5. Fletcher, R.: Practical Methods of Optimization. John Wiley & Sons. 2nd edition. 2000
Literature - recommended:
1. Tesař, V.: Mezní vrstvy a turbulence. Skripta ČVUT. Ediční středisko ČVUT. 1991.
2. Kozubková, M., Drábková, S., Šťáva, P.: Matematické modely stlačitelného a nestlačitelného proudění - Metoda konečných objemů. Skripta VŠB-TU Ostrava. 1999.