### Computational Fluid Dynamics

#### Course Description

Mathematical models of fluid flow. Equations of conservation of mass and momentum. Two-phase fluid flow. Turbulence models (k-epsilon, large eddy simulation, direct numerical simulation). Spatial and temporal discretization. Application of finite volume method. The relationship between velocity and pressure during fluid flow. Selection of appropriate boundary conditions. Viscosity effects and non-homogeneous flow. Coupled thermal/mechanical and fluid flow calculations. Modeling of energy turbines at constant and variable flows.

#### Learning Outcomes

1. Analyze the transport equations of fluid dynamics, their differential and integral forms
2. Evaluate the use of finite element and finite volume methods in calculations of fluid mechanics in power plants
3. Describe classical and advanced turbulence modelling and simulation
4. Develop mathematical models of power turbines and simulate their operation in technical systems
5. Develop models of coupled calculations of heat transfer and fluid mechanics, and models of combustion

#### Forms of Teaching

Lectures

Lectures will provide a theoretical background to the students.

Laboratory

Solving practical examples using computer simulation.

Continuous Assessment Exam
Homeworks 0 % 15 % 0 % 15 %
Mid Term Exam: Written 0 % 30 % 0 %
Final Exam: Written 0 % 45 %
Final Exam: Oral 10 %
Exam: Written 0 % 75 %
Exam: Oral 10 %

#### Week by Week Schedule

1. Equations of fluid flow, Differential and integral forms of transport equations
2. Overview of various formulations and solutions of fluid equations
4. Boundary conditions for viscous, subsonic and supersonic flows
5. Convection-diffusion problems, Overview of uncertainties and limitations of different methods
6. Spatial and time discretisation methods
7. Pressure-velocity coupling in fluid flows
8. Midterm exam
9. Finite volume and finite element treatment of transport equations
10. Solution of matrix equations
11. Large eddy simulation, Direct numerical simulation
12. Free surface modelling and volume of fluid method, Coupling of heat and fluid flows
13. Heat transfer and fluid flow in electrical machines
14. Calculation of buoyant flows and flows inside buildings, Modelling of combustion
15. Final exam

#### Literature

(.), Henk Kaarle Versteeg, Weeratunge Malalasekera, An Introduction to Computational Fluid Dynamics: The Finite Volume Method, Pearson Education, 2007,
(.), Baehr, H.D., Stephan, K. (2006.), Heat and Mass Transfer (2nd Edition), Springer,

#### General

ID 222540
Winter semester
5 ECTS
L3 English Level
L1 e-Learning
45 Lectures
13 Laboratory exercises