Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: An Implicit Harmonic Balance Method in Graphics Processing Units for Oscillating Blades J. Turbomach. 2015;138(3):031001-031001-10. doi:10.1115/1.4031918 Figure Legend: Amplitude (a) and phase (b) of the distribution along chord of the first harmonic of the pressure coefficient for the tenth standard configuration: M = 0.7, k = 0.5, σ = 0 deg, and α = 2 deg

Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: An Implicit Harmonic Balance Method in Graphics Processing Units for Oscillating Blades J. Turbomach. 2015;138(3):031001-031001-10. doi:10.1115/1.4031918 Figure Legend: Convergence histories of explicit and implicit methods for the inviscid airfoil case

Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: An Implicit Harmonic Balance Method in Graphics Processing Units for Oscillating Blades J. Turbomach. 2015;138(3):031001-031001-10. doi:10.1115/1.4031918 Figure Legend: First (a) and second (b) harmonics of the unsteady pressure coefficient distribution for different inlet Mach numbers for the tenth standard configuration: k = 0.5, σ = 0 deg, and α = 2 deg

Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: An Implicit Harmonic Balance Method in Graphics Processing Units for Oscillating Blades J. Turbomach. 2015;138(3):031001-031001-10. doi:10.1115/1.4031918 Figure Legend: First (a) and second (b) harmonics of the unsteady pressure coefficient distribution for different torsion amplitudes: k = 0.5, σ = 0 deg, and M = 0.8

Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: An Implicit Harmonic Balance Method in Graphics Processing Units for Oscillating Blades J. Turbomach. 2015;138(3):031001-031001-10. doi:10.1115/1.4031918 Figure Legend: Aerodynamic work per cycle as a function of IBPA (a) and distribution along airfoil chord (b), for different torsion amplitudes: k = 0.5, σ = −180 deg, and M = 0.8

Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: An Implicit Harmonic Balance Method in Graphics Processing Units for Oscillating Blades J. Turbomach. 2015;138(3):031001-031001-10. doi:10.1115/1.4031918 Figure Legend: Time average ((a) and (b)), first harmonic ((c) and (d)), and second harmonic ((e) and (b)) of the pressure distribution for the HB ((a), (c), and (e)) and the BDF ((b), (c), and (f))

Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: An Implicit Harmonic Balance Method in Graphics Processing Units for Oscillating Blades J. Turbomach. 2015;138(3):031001-031001-10. doi:10.1115/1.4031918 Figure Legend: Mean value ((a)–(c)), modulus ((d)–(f)), and phase ((g)–(i))) of the first harmonic of the unsteady pressure at h/c = 50% ((a), (d), and (g)), h/c = 75% ((b), (e), and (h)), and h/c = 90% ((c), (f), and (i)) sections

Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: An Implicit Harmonic Balance Method in Graphics Processing Units for Oscillating Blades J. Turbomach. 2015;138(3):031001-031001-10. doi:10.1115/1.4031918 Figure Legend: Second harmonic of the unsteady pressure distribution along the chord at 90% span

Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: An Implicit Harmonic Balance Method in Graphics Processing Units for Oscillating Blades J. Turbomach. 2015;138(3):031001-031001-10. doi:10.1115/1.4031918 Figure Legend: Time average of the relative total pressure along the chord over the tip patch (area averaged)

Date of download: 10/21/2017 Copyright © ASME. All rights reserved. From: An Implicit Harmonic Balance Method in Graphics Processing Units for Oscillating Blades J. Turbomach. 2015;138(3):031001-031001-10. doi:10.1115/1.4031918 Figure Legend: Critical aerodynamic damping ratio versus nodal diameter