A spectral-element/Fourier smoothed profile method for large-eddy simulations of complex VIV problems. (30th August 2018)

• Record Type: Journal Article
• Authors: Wang, Zhicheng; Triantafyllou, Michael S; Constantinides, Yiannis; Karniadakis, George Em
• Is Part Of: Computers & fluids. Volume 172(2018)
• Page Start: 84
• Page End: 96
• Publication Date: 2018-08-30
• Subjects: High-order methods -- LES -- Entropy-viscosity -- Hybrid discretization -- Industrial flows; Fluid dynamics -- Data processing -- Periodicals; 532.050285
• DOI: 10.1016/j.compfluid.2018.06.022
• Languages: English
• ISSNs: 0045-7930

Abstract

Highlights: Accurate, fast and robust smoothed profile method at high Reynolds numbers. New formula for determining the interface thickness parameter. Entropy Viscosity Method for stabilization and implicit large-eddy simulation. Simulation of complex resonance pattern in dual-step cylinder. Abstract: 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 δ 2, 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.