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Spectral element simulations of laminar and turbulent flows in complex geometriesSpectral element methods are high-order weighted residual techniques based on spectral expansions of variables and geometry for the Navier-Stokes (NS) and transport equations. Here, practical aspects of these methods and their efficient implementation are examined, and several examples of flows in truly complex geometries are presented. The spectral element discretization for NS equations is introduced, and the convergence of the method is addressed. An efficient data management scheme is discussed in the context of parallel processing computations. The method is validated by comparing the spectral element solutions with the exact eigensolutions for the Orr-Sommerfeld equations in two and three dimensions. Computer-aided flow visualizations are presented for an impulsive flow past a sharp edge wedge. Three-dimensional states of channel flow disrupted by an array of cylindrical eddy promoters are studied, and the results of a direct simulation of the turbulent flow in a plane channel are presented.
Document ID
19900034967
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Karniadakis, George EM
(NASA Ames Research Center Moffett Field; Stanford University, CA, United States)
Date Acquired
August 14, 2013
Publication Date
December 1, 1989
Publication Information
Publication: Applied Numerical Mathematics
Volume: 6
ISSN: 0168-9274
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
90A22022
Distribution Limits
Public
Copyright
Other

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