@Article{AAMM-9-4,
author = {Tongqing, Guo and Zhou, Di and Zhiliang, Lu},
title = {A Double-Passage Shape Correction Method for Predictions of Unsteady Flow and Aeroelasticity in Turbomachinery},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2017},
volume = {9},
number = {4},
pages = {839--860},
abstract = {<p style="text-align: justify;">In this paper, a double-passage shape correction (DPSC) method is presented
for simulation of unsteady flows around vibrating blades and aeroelastic prediction.
Based on the idea of phase-lagged boundary conditions, the shape correction
method was proposed aimed at efficiently dealing with unsteady flow problems in
turbomachinery. However, the original single-passage shape correction (SPSC) may
show the disadvantage of slow convergence of unsteady solutions and even produce
nonphysical oscillation. The reason is found to be related with the disturbances on
the circumferential boundaries that can not be damped by numerical schemes. To
overcome these difficulties, the DPSC method is adopted here, in which the Fourier
coefficients are computed from flow variables at implicit boundaries instead of circumferential
boundaries in the SPSC method. This treatment actually reduces the interaction
between the calculation of Fourier coefficients and the update of flow variables.
Therefore a faster convergence speed could be achieved and also the solution
stability is improved. The present method is developed to be suitable for viscous and
turbulent flows. And for real three-dimensional (3D) problems, the rotating effects are
also considered. For validation, a 2D oscillating turbine cascade, a 3D oscillating flat
plate cascade and a 3D practical transonic fan rotor are investigated. Comparisons
with experimental data or other solutions and relevant discussions are presented in
detail. Numerical results show that the solution accuracy of DPSC method is favorable
and at least comparable to the SPSC method. However, fewer iteration cycles are
needed to get a converged and stable unsteady solution, which greatly improves the
computational efficiency.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2016.m1478},
url = {https://global-sci.com/article/73280/a-double-passage-shape-correction-method-for-predictions-of-unsteady-flow-and-aeroelasticity-in-turbomachinery}
}