A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems

© 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 interf...

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Main Authors: Wang, Zhicheng, Triantafyllou, Michael S, Constantinides, Yiannis, Karniadakis, George Em
Other Authors: Massachusetts Institute of Technology. Department of Mechanical Engineering
Format: Article
Language:English
Published: Elsevier BV 2021
Online Access:https://hdl.handle.net/1721.1/135842
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author Wang, Zhicheng
Triantafyllou, Michael S
Constantinides, Yiannis
Karniadakis, George Em
author2 Massachusetts Institute of Technology. Department of Mechanical Engineering
author_facet Massachusetts Institute of Technology. Department of Mechanical Engineering
Wang, Zhicheng
Triantafyllou, Michael S
Constantinides, Yiannis
Karniadakis, George Em
author_sort Wang, Zhicheng
collection MIT
description © 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.
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spelling mit-1721.1/1358422023-09-26T20:22:02Z A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems Wang, Zhicheng Triantafyllou, Michael S Constantinides, Yiannis Karniadakis, George Em Massachusetts Institute of Technology. Department of Mechanical Engineering © 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. 2021-10-27T20:29:35Z 2021-10-27T20:29:35Z 2018 2019-09-25T15:24:39Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/135842 en 10.1016/J.COMPFLUID.2018.06.022 Computers and Fluids Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier BV Other repository
spellingShingle Wang, Zhicheng
Triantafyllou, Michael S
Constantinides, Yiannis
Karniadakis, George Em
A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems
title A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems
title_full A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems
title_fullStr A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems
title_full_unstemmed A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems
title_short A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems
title_sort spectral element fourier smoothed profile method for large eddy simulations of complex viv problems
url https://hdl.handle.net/1721.1/135842
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