Wind Turbine Aerodynamics and Vorticity-Based Methods

1. Introduction
Emmanuel Branlard

Part I. Fluid Mechanics Foundations

2. Theoretical Foundations for Flows Involving Vorticity
Emmanuel Branlard

3. Lifting Bodies and Circulation
Emmanuel Branlard

Part II. Introduction to Rotors Aerodynamics

4. Rotor and Wind Turbine Formalism
Emmanuel Branlard

5. Vortex Systems and Models of a Rotor - Bound, Root and Wake Vorticity
Emmanuel Branlard

6. Considerations and Challenges Specific to Rotor Aerodynamics
Emmanuel Branlard

7. Blade Element Theory (BET)
Emmanuel Branlard

8. Kutta–Joukowski (KJ) Theorem Applied to a Rotor
Emmanuel Branlard

9. Momentum Theory
Emmanuel Branlard

10. The Blade Element Momentum (BEM) Method
Emmanuel Branlard

Part III. Classical Vortex Theory Results: Optimal Circulation and Tip-Losses

11. Far-Wake Analyses and the Rigid Helical Wake
Emmanuel Branlard

12. Betz Theory of Optimal Circulation
Emmanuel Branlard

13. Tip-Losses with Focus on Prandlt’s Tip Loss Factor
Emmanuel Branlard

14. Goldstein’s Optimal Circulation
Emmanuel Branlard

15. Wake Expansion Models
Emmanuel Branlard

16. Relation Between Far-Wake and Near-Wake Parameters
Emmanuel Branlard

Part IV. Latest Developments in Vorticity-Based Rotor Aerodynamics

17. Cylindrical Vortex Model of a Rotor of Finite or Infinite Tip-Speed Ratios
Emmanuel Branlard

18. Cylindrical Model of a Rotor with Varying Circulation - Effect of Wake Rotation
Emmanuel Branlard

19. An Improved BEM Algorithm Accounting for Wake Rotation Effects
Emmanuel Branlard

20. Helical Model for Tip-Losses: Development of a Novel Tip-Loss Factor and Analysis of the Effect of Wake Expansion
Emmanuel Branlard

21. Yaw-Modelling Using a Skewed Vortex Cylinder
Emmanuel Branlard

22. Simple Implementation of a New Yaw-Model
Emmanuel Branlard

23. Advanced Implementation of the New Yaw-Model
Emmanuel Branlard

24. Velocity Field Upstream of Aligned and Yawed Rotors: Wind Turbine and Wind Farm Induction Zone
Emmanuel Branlard

25. Analytical Model of a Wind Turbine in Sheared Inflow
Emmanuel Branlard

26. Model of a Wind Turbine with Unsteady Circulation or Unsteady Inflow
Emmanuel Branlard

Part V. Latest Applications of Vortex Methods to Rotor Aerodynamics and Aeroelasticity

27. Examples of Applications of Vortex Methods to Wind Energy
Emmanuel Branlard

28. Representation of a (Turbulent) Velocity Field Using Vortex Particles
Emmanuel Branlard

29. Effect of a Wind Turbine on the Turbulent Inflow
Emmanuel Branlard

30. Aeroelastic Simulation of a Wind Turbine Under Turbulent and Sheared Conditions
Emmanuel Branlard

Part VI. Analytical Solutions for Vortex Methods and Rotor Aerodynamics

31. Elementary Three-Dimensional Flows
Emmanuel Branlard

32. Elementary Two-Dimensional Potential Flows
Emmanuel Branlard

33. Flows with a Spread Distribution of Vorticity
Emmanuel Branlard

34. Spherical Geometry Models: Flow About a Sphere and Hill’s Vortex
Emmanuel Branlard

35. Vortex and Source Rings
Emmanuel Branlard

36. Flow Induced by a Right Vortex Cylinder
Emmanuel Branlard

37. Flow Induced by a Vortex Disk
Emmanuel Branlard

38. Flow Induced by a Skewed Vortex Cylinder
Emmanuel Branlard

39. Flow Induced by Helical Vortex Filaments
Emmanuel Branlard

Part VII. Vortex Methods

40. A Brief Introduction to Vortex Methods
Emmanuel Branlard

41. The Different Aspects of Vortex Methods
Emmanuel Branlard

42. Particularities of Vortex Particle Methods
Emmanuel Branlard

43. Numerical Implementation of Vortex Methods
Emmanuel Branlard

44. OmniVor: An Example of Vortex Code Implementation
Emmanuel Branlard

45. Vortex Code Validation and Illustration
Emmanuel Branlard

Keywords: Energy, Renewable and Green Energy, Power Electronics, Electrical Machines and Networks, Fluid- and Aerodynamics, Engineering Fluid Dynamics, Renewable and Green Energy