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http://dx.doi.org/10.20910/JASE.2020.14.3.17

Partially Implicit Chebyshev Pseudo-spectral Method for a Periodic Unsteady Flow Analysis  

Im, Dong Kyun (Department of Aeronautical Maintenance and Mechanical Engineering, Cheongju University)
Publication Information
Journal of Aerospace System Engineering / v.14, no.3, 2020 , pp. 17-23 More about this Journal
Abstract
In this paper, the efficient periodic unsteady flow analysis is developed by using a Chebyshev collocation operator applied to the time differential term of the governing equations. The partial implicit time integration method was also applied in the governing equation for a fluid, which means flux terms were implicitly processed for a time integration and the time derivative terms were applied explicitly in the form of the source term by applying the Chebyshev collocation operator. To verify this method, we applied the 1D unsteady Burgers equation and the 2D oscillating airfoil. The results were compared with the existing unsteady flow frequency analysis technique, the Harmonic Balance Method, and the experimental data. The Chebyshev collocation operator can manage time derivatives for periodic and non-periodic problems, so it can be applied to non-periodic problems later.
Keywords
Unsteady flow; CFD; Time Spectral method; Chebyshev polynomial; Harmonic Balance method;
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