Abstract
The present research simulates time-periodic unsteady transonic flow around pitching airfoils via the solution of unsteady Euler and Navier-Stokes equations, using time spectral method (TSM) and compares it with the traditional methods like BDF and explicit structured adaptive grid method. The TSM uses a Fourier representation in time and hence solves for the periodic state directly without resolving transients (which consume most of the resources in a time-accurate scheme). Mathematical tools used here are discrete Fourier transformations. The TSM has been validated with 2D external aerodynamics test cases. These test cases are NACA 64A010 (CT6) and NACA 0012 (CT1 and CT5) pitching airfoils. Because of turbulent nature of flow, Baldwin-Lomax turbulence model has been used in viscous flow analysis with large oscillation amplitude (CT5 type). The results presented by the TSM are compared with experimental data and the two other methods. By enforcing periodicity and using Fourier representation in time that has a spectral accuracy, tremendous reduction of computational cost has been obtained compared to the conventional time-accurate methods. Results verify the small number of time intervals per pitching cycle (just four time intervals) required to capture the flow physics with small oscillation amplitude (CT6) and large oscillation amplitude (CT5) as compared to the other two methods.
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Mohamad Reza Mohaghegh received the B.S. degree in Fluid Mechanics from the University of Kerman (Iran) on 2007, M.S. degree in Energy Conversion from University of Birjand (Iran) in 2010. His research interests include computational fluid dynamics, aerodynamics, heat transfer, analytical methods in engineering. He is a research associate in the Mechanical Engineering Department of Ferdowsi University of Mashhad and a member of Young Researchers and Elite Club at Islamic Azad University (Iran).
Majid Malek-Jafarian received B.S. degree in Fluid Mechanics from Ferdowsi University of Mashhad(Iran) on 1997, M.S. degree in Energy Conversion from Ferdowsi University in 1999 and Ph.D. in Energy Conversion from Mechanical Engineering department of Ferdowsi University of Mashhad(Iran) on 2006. His major field of study is turbulence modeling, aerodynamics and optimization. Now he’s working at the Mechanical Engineering Department of the University of Birjand.
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Mohaghegh, M.R., Malek-Jafarian, M. Periodic transonic flow simulation using fourier-based algorithm. J MECH SCI TECHNOL 28, 4109–4119 (2014). https://doi.org/10.1007/s12206-014-0950-4
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DOI: https://doi.org/10.1007/s12206-014-0950-4