251 research outputs found

    Kraichnan-Leith-Batchelor similarity theory and two-dimensional inverse cascades

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    We study the scaling properties and Kraichnan-Leith-Batchelor (KLB) theory of forced inverse cascades in generalized two-dimensional (2D) fluids (α\alpha-turbulence models) simulated at resolution 819228192^2. We consider α=1\alpha=1 (surface quasigeostrophic flow), α=2\alpha=2 (2D vorticity dynamics) and α=3\alpha=3. The forcing scale is well-resolved, a direct cascade is present and there is no large-scale dissipation. Coherent vortices spanning a range of sizes, most larger than the forcing scale, are present for both α=1\alpha=1 and α=2\alpha=2. The active scalar field for α=3\alpha=3 contains comparatively few and small vortices. The energy spectral slopes in the inverse cascade are steeper than the KLB prediction (7α)/3-(7-\alpha)/3 in all three systems. Since we stop the simulations well before the cascades have reached the domain scale, vortex formation and spectral steepening are not due to condensation effects; nor are they caused by large-scale dissipation, which is absent. One- and two-point pdfs, hyperflatness factors and structure functions indicate that the inverse cascades are intermittent and non-Gaussian over much of the inertial range for α=1\alpha=1 and α=2\alpha=2, while the α=3\alpha=3 inverse cascade is much closer to Gaussian and non-intermittent. For α=3\alpha=3 the steep spectrum is close to that associated with enstrophy equipartition. Continuous wavelet analysis shows approximate KLB scaling E(k)k2\mathcal{E}(k) \propto k^{-2} (α=1\alpha=1) and E(k)k5/3\mathcal{E}(k) \propto k^{-5/3} (α=2\alpha=2) in the interstitial regions between the coherent vortices. Our results demonstrate that coherent vortex formation (α=1\alpha=1 and α=2\alpha=2) and non-realizability (α=3\alpha=3) cause 2D inverse cascades to deviate from the KLB predictions, but that the flow between the vortices exhibits KLB scaling and non-intermittent statistics for α=1\alpha=1 and α=2\alpha=2. The results will appear in \cite{BurgessEA2015}, which has been accepted to the \emph{Journal of Fluid Mechanics}

    MLC2-CE_DJ_09 - Craig Elliot recordings, tape 9

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    Recordings made by anthropologist Craig Elliott who lived at Galawdjapin and Garttji in the late 1980s. Item includes photographs of original tape. Tape notes say: 11AM 3-12-89 at Gal. -Jackie's (Mace) Raiwalla Ga Missionary Djanguny. Language as given

    MLC2-CE_DJ_10 - Craig Elliot recordings, tape 10

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    Recordings made by anthropologist Craig Elliott who lived at Galawdjapin and Garttji in the late 1980s. Item includes photographs of original tape. Tape notes say: Noon 5-12-89 at Gal. -Jackie's Waldjy (Father) Djanguny. Language as given

    MLC2-CE_DJ_07 - Craig Elliot recordings, tape 7

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    Recordings made by anthropologist Craig Elliott who lived at Galawdjapin and Garttji in the late 1980s. Item includes photographs of original tape. Tape notes say: Recordings made March 1989 for Rays Z [sister]. 1. WAK WAK [wakwak 'crow'] 2. GEGGANGIE BIRD [gikanggi 'friarbird'] 3. DJUDO-DJUDO [djutudjutu 'jungle fowl'] 4. MERE (pronounced MAIRRAY) [mirri 'ghost spirit']. Language as given

    MLC2-CE_DJ_14 - Craig Elliot recordings, tape 14

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    Recordings made by anthropologist Craig Elliott who lived at Galawdjapin and Garttji in the late 1980s. Item includes photographs of original tape. Tape notes say: My farewell Bunggul 16-1-90 Cont'd -Gorumba Gorumba Manikay - Richard Barndalil singing 16-1-90. Language as given

    MLC2-CE_DJ_06 - Craig Elliot recordings, tape 6

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    Recordings made by anthropologist Craig Elliott who lived at Galawdjapin and Garttji in the late 1980s. Item includes photographs of original tape. Original tape notes say: 1. Joe Goidarri [Gidarri] monologue (continued from tape #5) 000-418 2. Marlow Dick's Rungu Yul Djanguny 419-end. Language as given

    MLC2-CE_DJ_12 - Craig Elliot recordings, tape 12

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    Recordings made by anthropologist Craig Elliott who lived at Galawdjapin and Garttji in the late 1980s. Item includes photographs of original tape. Tape notes say: (A) Munyal's Rungu Yul Djanguny -Richard's Buparru Djanguny (B) Richard's Buparru Djanguny (cont'd). Language as given

    MLC2-CE_DJ_08 - Craig Elliot recordings, tape 8

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    Recordings made by anthropologist Craig Elliott who lived at Galawdjapin and Garttji in the late 1980s. Item includes photographs of original tape. Tape notes say: -Ray's Luma Luma / Mere Djanguny (transcription: Fldbk #5:1-13; Notes: Fldbk #4:72-5) -Jacki's Rungo Yul Djanguny. Language as given

    MLC2-CE_DJ_13 - Craig Elliot recordings, tape 13

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    Recordings made by anthropologist Craig Elliott who lived at Galawdjapin and Garttji in the late 1980s. Item includes photographs of original tape. Tape notes say: (A) My farewell Bunggul 16-1-90 (B) My farewell Bunggul 16-1-90. Language as given

    MLC2-CE_DJ_11 - Craig Elliot recordings, tape 11

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    Recordings made by anthropologist Craig Elliott who lived at Galawdjapin and Garttji in the late 1980s. Item includes photographs of original tape. Tape notes say: (A) Manikay recorded at funeral - Dec '89 (Master) (B) Manikay recorded at funeral - Dec '89 -Jackie Pascoe's crocodile Djanguny of Gumugearda (copy). Language as given
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