Computation of Unsteady Flows Around Oscillating Blades Using Linear and Nonlinear Harmonic Euler Methods

[+] Author and Article Information
W. Ning, L. He

School of Engineering, University of Durham, Durham, DH1 3LE, United Kingdom

J. Turbomach 120(3), 508-514 (Jul 01, 1998) (7 pages) doi:10.1115/1.2841747 History: Received February 01, 1997; Online January 29, 2008


A quasi-three-dimensional time-linearized Euler method has been developed to compute unsteady flows around oscillating blades. In the baseline method, unsteady flow is decomposed into a steady flow plus a linear harmonically varying unsteady flow. Both the steady flow equations and the unsteady perturbation equations are solved using a pseudo-time-marching method. Based upon this method, a novel nonlinear harmonic Euler method has been developed. Due to the nonlinearity of the aerodynamic governing equations, time-averaging generates extra “unsteady stress” terms. These nonlinear effects are included by a strongly coupled approach between the perturbation equations and the time-averaged equations. Numerical results demonstrate that nonlinear effects are very effectively modeled by the nonlinear harmonic method.

Copyright © 1998 by The American Society of Mechanical Engineers
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