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  The need for de-aliasing in a Chebyschev pseudo-spectral method

Uhlmann, M. (2000): The need for de-aliasing in a Chebyschev pseudo-spectral method, (PIK Report ; 60), Potsdam : Potsdam-Institut für Klimafolgenforschung, 26 p.

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Item Permalink: https://publications.pik-potsdam.de/pubman/item/item_11529 Version Permalink: https://publications.pik-potsdam.de/pubman/item/item_11529_2
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 Creators:
Uhlmann, M.1, Author
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1Potsdam Institute for Climate Impact Research and Cooperation Partners, ou_persistent13              

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 Abstract: In the present report, we attempt to estimate whether the computational overhead due to the explicit removal of Chebyshev-pseudo-spectral-induced aliasing errors is necessary in a DNS of plane channel flow. We first recall the origin of aliasing errors in a Chebyshev method before turning to results from different test cases: analytical; transition to turbulence; fully-developed turbulence.

Our results indicate that corrective action can slightly improve the quality of the solution in situations where the resolution is marginal. We do not find conclusive evidence that supports the use of the de-aliasing strategy under non-marginal conditions.

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Language(s): eng - English
 Dates: 20002000
 Publication Status: Finally published
 Pages: 26
 Publishing info: Potsdam : Potsdam-Institut für Klimafolgenforschung
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 1461
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Title: PIK Report
Source Genre: Series
 Creator(s):
Potsdam-Institut für Klimafolgenforschung, Editor              
Affiliations:
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Publ. Info: Potsdam : Potsdam-Institut für Klimafolgenforschung
Pages: - Volume / Issue: 60 Sequence Number: - Start / End Page: - Identifier: ISSN: 1436-0179