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Title: Conjugate filters with spectral-like resolution for 2D incompressible flows
Authors: Gu, Y.Yun
Zhou, Y.C.
Wei, G.W. 
Keywords: Conjugate filters
Discrete singular convolution
Incompressible flows
Local spectral method
Spectral resolution
Issue Date: Jul-2003
Citation: Gu, Y.Yun, Zhou, Y.C., Wei, G.W. (2003-07). Conjugate filters with spectral-like resolution for 2D incompressible flows. Computers and Fluids 32 (6) : 777-794. ScholarBank@NUS Repository.
Abstract: A conjugate filter oscillation reduction scheme originally developed for compressible flows and in general for hyperbolic conservation laws is applied to the solution of the incompressible Navier-Stokes equation with periodic boundary conditions. Conjugate low-pass and high-pass filters are constructed by using a local spectral method, the discrete singular convolution algorithm. A spectral-like resolution, i.e., near the machine precision obtained at a sampling rate close to the Nyquist limit (2 points per wavelength), is achieved it in treating a smooth initial value problem which admits an exact solution. The spectral-like resolution is enhanced by the use of conjugate low-pass filters in treating the double shear layer and multishear layer problem, which exhibit extremely small flow features. © 2002 Elsevier Science Ltd. All rights reserved.
Source Title: Computers and Fluids
ISSN: 00457930
DOI: 10.1016/S0045-7930(02)00066-X
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