Spectral gap: Difference between revisions

From Glossary of Meteorology
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|Meaning=A [[wavenumber]], [[wavelength]], or [[frequency band]] within a Fourier [[energy spectrum]]  that has a relative minimum of spectral [[energy]].
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|Explanation=Much of the theoretical [[development]] of [[turbulence]] in the [[atmosphere]] is based on the  assumption of a spectral gap between larger-wavelength motions (called mean motions) and small-  scale motions (called turbulence). However, a growing body of experimental evidence indicates  that there is often not a spectral gap in the [[atmospheric boundary layer]], thereby raising questions  about the [[Reynolds averaging]] approach that has formed the basis for turbulence theory for the  past century.
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== spectral gap ==
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<div class="definition"><div class="short_definition">A [[wavenumber]], [[wavelength]], or [[frequency band]] within a Fourier [[energy spectrum]]  that has a relative minimum of spectral [[energy]].</div><br/> <div class="paragraph">Much of the theoretical [[development]] of [[turbulence]] in the [[atmosphere]] is based on the  assumption of a spectral gap between larger-wavelength motions (called mean motions) and small-  scale motions (called turbulence). However, a growing body of experimental evidence indicates  that there is often not a spectral gap in the [[atmospheric boundary layer]], thereby raising questions  about the [[Reynolds averaging]] approach that has formed the basis for turbulence theory for the  past century.</div><br/> </div>
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Latest revision as of 06:41, 30 March 2024

A wavenumber, wavelength, or frequency band within a Fourier energy spectrum that has a relative minimum of spectral energy.

Much of the theoretical development of turbulence in the atmosphere is based on the assumption of a spectral gap between larger-wavelength motions (called mean motions) and small- scale motions (called turbulence). However, a growing body of experimental evidence indicates that there is often not a spectral gap in the atmospheric boundary layer, thereby raising questions about the Reynolds averaging approach that has formed the basis for turbulence theory for the past century.

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