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

Uhlmann, M.

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

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Uhlmann, M.
Potsdam Institute for Climate Impact Research and Cooperation Partners;

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https://www.pik-potsdam.de/en/output/publications/pikreports
(Verlagsversion)

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

Zitierlink: https://publications.pik-potsdam.de/pubman/item/item_11529

Zusammenfassung

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.