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Finite element analysis of vortex shedding using equal order interpolations
Author(s) -
Jan Y. J.
Publication year - 2002
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.241
Subject(s) - reynolds number , vortex shedding , mathematics , spectral element method , finite element method , vortex , computational fluid dynamics , numerical analysis , flow (mathematics) , reynolds averaged navier–stokes equations , mechanics , mathematical analysis , turbulence , physics , geometry , classical mechanics , mixed finite element method , thermodynamics
An operator splitting and element‐by‐element conjugated gradient solver, and equal order interpolations are applied for solving time dependent Navier–Stokes (NS) equations to simulate flow induced vortex shedding in the present study. In addition, the convection term is corrected by balanced tensor diffusivity, which can stabilize the numerical simulation and overcome the numerical oscillations. The evolution of the interested flowing properties with time is analyzed by using spectral analysis. The developed code has been validated by the application of two examples: a driven cavity flow and a flow induced vortex vibration. Results from the first example for Reynolds number Re =10 3 and Re =10 4 are compared with other numerical simulations. Results from the second example, uniform flow past a square rod over a wide range of high Reynolds numbers from Re =10 3 ∼10 5 , are compared with experimental data and other numerical studies. Copyright © 2002 John Wiley & Sons, Ltd.