SCHOOL OF ENGINEERING INSTITUTE FOR ENERGY SYSTEMS CFD Based Optimization of a Vertical Axis Wind Turbine Emmanouil Falagkaris Supervisory Team Prof. David Ingram, Dr Ignazio Maria Viola, Dr Daniel Friedrich (E.Falagkaris, David.Ingram, I.M.Viola, D.Friedrich)@ed.ac.uk
Breakdown of the Problem Moderate/High Reynolds number flows Unsteady urban environment conditions Complex boundary Complex boundary motion
Addressing the Problem Moderate/High Reynolds number flows Unsteady urban environment conditions Stable and accurate numerical method for the fluid flow solution Complex boundary Complex boundary motion A flexible and efficient scheme for representing the boundary and its motion COUPLING: Accuracy, Efficiency and Robustness
Fluid Flow Solver Lattice Boltzmann Method (Cascaded) Particle-based numerical scheme, based on minimal discrete kinetic models. Studies the dynamics of fictitious particles by a simplified Boltzmann transport equation. Viable alternative for solving the hydrodynamics Navier-Stokes equations.
Boundary Representation The Immersed Boundary Method Method based on interpolation algorithms for the velocity and force computation on the physical boundary. Both IBM and LBM are designed for rectangular Cartesian grids. Locality of LBM is retained when coupled with the IBM. No-slip boundary condition is not satisfied exactly. Solution: Iterative or implicit schemes.
Coupling Both IBM and LBM are designed for rectangular Cartesian grids. Locality of LBM is retained when coupled with the IBM. Accuracy -Efficiency E. J. Falagkaris, D. M. Ingram, I. M. Viola, and K. Markakis. PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice boltzmann solver. Comput. Math. Appl.
Results NACA 0012 airfoil Re = 5000 AoA = 10 o E. J. Falagkaris, D. M. Ingram, I. M. Viola, and K. Markakis. PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice boltzmann solver. Comput. Math. Appl.
Results NACA 0012 airfoil Re = 100000 AoA = 10 o E. J. Falagkaris, D. M. Ingram, I. M. Viola, and K. Markakis. PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice boltzmann solver. Comput. Math. Appl.
Results Pitching airfoil Re c = 1173 E. J. Falagkaris, D. M. Ingram, I. M. Viola, and K. Markakis. PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice boltzmann solver for moving and deformable boundary applications. Comput. Math. Appl.
Results SD7003 airfoil Re c = 40000 High frequency Low amplitude E. J. Falagkaris, D. M. Ingram, I. M. Viola, and K. Markakis. PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice boltzmann solver for moving and deformable boundary applications. Comput. Math. Appl.
Results SD7003 airfoil E. J. Falagkaris, D. M. Ingram, I. M. Viola, and K. Markakis. PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice boltzmann solver for moving and deformable boundary applications. Comput. Math. Appl.
Results Flexible NACA 0014 Re c = 10000 Low frequency High amplitude E. J. Falagkaris, D. M. Ingram, I. M. Viola, and K. Markakis. PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice boltzmann solver for moving and deformable boundary applications. Comput. Math. Appl.
Results Flexible NACA 0014 E. J. Falagkaris, D. M. Ingram, I. M. Viola, and K. Markakis. PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice boltzmann solver for moving and deformable boundary applications. Comput. Math. Appl.
Results Flexible NACA 0014 E. J. Falagkaris, D. M. Ingram, I. M. Viola, and K. Markakis. PROTEUS: A coupled iterative force-correction immersed-boundary multi-domain cascaded lattice boltzmann solver for moving and deformable boundary applications. Comput. Math. Appl.
Conclusions Novel, robust and accurate numerical scheme. Validated over many flow configurations. Flexible and computationally efficient boundary treatment. Applicable to many industrial fluid dynamics applications including complex boundary motions and unsteady flows.
Limitations Future Work Discontinuity of velocity gradient across the boundary at high shear stress and high Reynolds flows. Pressure distribution inside the boundary is not accurate.
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