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.

Grading Method

Continuous Assessment Exam
Type Threshold Percent of Grade Threshold Percent of Grade
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
  3. Modelling of steady and unsteady flows
  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

Study Programmes

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,

For students

General

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

Grading System

90 Excellent
75 Very Good
60 Good
50 Acceptable