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Fourier/Chebyshev methods for the incompressible Navier-Stokes equations in finite domainsA fully spectral numerical scheme for the incompressible Navier-Stokes equations in domains which are infinite or semi-infinite in one dimension. The domain is not mapped, and standard Fourier or Chebyshev expansions can be used. The handling of the infinite domain does not introduce any significant overhead. The scheme assumes that the vorticity in the flow is essentially concentrated in a finite region, which is represented numerically by standard spectral collocation methods. To accomodate the slow exponential decay of the velocities at infinity, extra expansion functions are introduced, which are handled analytically. A detailed error analysis is presented, and two applications to Direct Numerical Simulation of turbulent flows are discussed in relation with the numerical performance of the scheme.
Document ID
19950063807
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Corral, Roque
(Universidad Politecnica Madrid, Spain)
Jimenez, Javier
(NASA Ames Research Center Moffett Field, CA, US, United States)
Date Acquired
August 17, 2013
Publication Date
January 1, 1992
Publication Information
Publisher: Elsevier Science Publishers B.V.
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
95A95406
Funding Number(s)
CONTRACT_GRANT: ESA-3/88
Distribution Limits
Public
Copyright
Other

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