A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems
Name
Triantafyllou_A spectral-element.pdf
Description
Accepted version
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6.25 MB
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Author(s) • • •
Wang, Zhicheng
Triantafyllou, Michael S
Constantinides, Yiannis
Karniadakis, George Em
Date Issued
2018
Journal
Computers and Fluids
Publisher
Elsevier BV
Version
Author's final manuscript
Abstract
© 2018 Elsevier Ltd An accurate, fast and robust spectral-element/Fourier smoothed profile method (SEF-SPM) for turbulent flow past 3D complex-geometry moving bluff-bodies is developed and analyzed in this paper. Based on the concept of momentum thickness δ2, a new formula for determining the interface thickness parameter ξ is proposed. In order to overcome the numerical instability at high Reynolds number, the so-called Entropy Viscosity Method (EVM) is introduced in the framework of large-eddy simulation. To overcome resolution constraints pertaining to moving immersed bodies, the Coordinate Transformation Method (Mapping method) is incorporated in the current implementation. Moreover, a hybrid spectral-element method using mixed triangular and quadrilateral elements is employed in conjunction with Fourier discretization along the third direction to efficiently represent a body of revolution or a long-aspect ratio bluff-body like risers and cables. The combination of the above algorithms results in a robust method which we validate by several prototype flows, including flow past a stationary sphere at 200 ≤ Re ≤ 1000, as well as turbulent flow past a stationary and moving cylinder at 80 ≤ Re ≤ 10, 000. Finally, we apply the new method to simulate a self-excited rigidly moving dual-step cylinder and demonstrate that SEF-SPM is an efficient method for complex VIV problems.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
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Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1016/J.COMPFLUID.2018.06.022